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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : AGT009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:06:33 AM UTC 2026

% Result   : Theorem 7.20s 1.88s
% Output   : Refutation 9.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  101 (  30 unt;   4 def)
%            Number of atoms       :  310 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  357 ( 148   ~; 140   |;  55   &)
%                                         (   8 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   5 prp; 0-4 aty)
%            Number of functors    :   25 (  25 usr;  22 con; 0-2 aty)
%            Number of variables   :  115 (   0 sgn 115   !;   0   ?)

% 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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',a1_3) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',a2_9) ).

fof(f17,axiom,
    ! [X0] :
      ( ( accept_population(X0,atheist,n75)
        & accept_population(X0,christian,n25)
        & accept_population(X0,muslim,n0)
        & accept_population(X0,native,n0)
        & accept_population(X0,other,n0) )
    <=> accept_city(X0,citya) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_10) ).

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/sandbox/benchmark/theBenchmark.p',a2_12) ).

fof(f193,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_173) ).

fof(f268,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_248) ).

fof(f269,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_249) ).

fof(f294,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).

fof(f295,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).

fof(f527,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).

fof(f539,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).

fof(f546,axiom,
    ! [X0,X1,X2] :
      ( ( rdn_positive_less(rdnn(X0),rdnn(X2))
        & rdn_non_zero(X1) )
     => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).

fof(f548,axiom,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).

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/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f556,conjecture,
    ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_9) ).

fof(f557,negated_conjecture,
    ~ ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f558,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(flattening,[],[f557]) ).

fof(f565,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f566,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1) ),
    inference(flattening,[],[f565]) ).

fof(f568,plain,
    ! [X0,X1,X2] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f5]) ).

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(ennf_transformation,[],[f6]) ).

fof(f570,plain,
    ! [X0,X1,X2] :
      ( ~ accept_city(X0,X2)
      | ~ accept_leader(X0,X1)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(flattening,[],[f569]) ).

fof(f574,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_non_zero(X1) ),
    inference(ennf_transformation,[],[f546]) ).

fof(f575,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_non_zero(X1) ),
    inference(flattening,[],[f574]) ).

fof(f577,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f548]) ).

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(ennf_transformation,[],[f550]) ).

fof(f580,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,[],[f579]) ).

fof(f585,plain,
    ! [X0,X1,X2,X3] :
      ( ( accept_team(X0,X3,X1,X2)
        | ~ accept_city(X0,X1)
        | ~ accept_leader(X0,X3)
        | ~ accept_number(X0,X2) )
      & ( ( accept_city(X0,X1)
          & accept_leader(X0,X3)
          & accept_number(X0,X2) )
        | ~ accept_team(X0,X3,X1,X2) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f586,plain,
    ! [X0,X1,X2,X3] :
      ( ( accept_team(X0,X3,X1,X2)
        | ~ accept_city(X0,X1)
        | ~ accept_leader(X0,X3)
        | ~ accept_number(X0,X2) )
      & ( ( accept_city(X0,X1)
          & accept_leader(X0,X3)
          & accept_number(X0,X2) )
        | ~ accept_team(X0,X3,X1,X2) ) ),
    inference(flattening,[],[f585]) ).

fof(f603,plain,
    ! [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) )
      & ( accept_city(X0,towna)
        | ~ 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) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f604,plain,
    ! [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) )
      & ( accept_city(X0,towna)
        | ~ 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) ) ),
    inference(flattening,[],[f603]) ).

fof(f605,plain,
    ! [X0] :
      ( ( ( accept_population(X0,atheist,n75)
          & accept_population(X0,christian,n25)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,other,n0) )
        | ~ accept_city(X0,citya) )
      & ( accept_city(X0,citya)
        | ~ accept_population(X0,atheist,n75)
        | ~ accept_population(X0,christian,n25)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,other,n0) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f606,plain,
    ! [X0] :
      ( ( ( accept_population(X0,atheist,n75)
          & accept_population(X0,christian,n25)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,other,n0) )
        | ~ accept_city(X0,citya) )
      & ( accept_city(X0,citya)
        | ~ accept_population(X0,atheist,n75)
        | ~ accept_population(X0,christian,n25)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,other,n0) ) ),
    inference(flattening,[],[f605]) ).

fof(f609,plain,
    ! [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) )
      & ( accept_city(X0,cityb)
        | ~ 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) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f610,plain,
    ! [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) )
      & ( accept_city(X0,cityb)
        | ~ 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) ) ),
    inference(flattening,[],[f609]) ).

fof(f617,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_team(X0,X3,X1,X2)
      | accept_city(X0,X1) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f620,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2)
      | ~ less(X2,X1) ),
    inference(cnf_transformation,[],[f566]) ).

fof(f623,plain,
    ! [X2,X0,X1] :
      ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f568]) ).

fof(f624,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,[],[f570]) ).

fof(f673,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,atheist,n75)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,native,n0)
      | accept_city(X0,towna) ),
    inference(cnf_transformation,[],[f604]) ).

fof(f680,plain,
    ! [X0] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f681,plain,
    ! [X0] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f683,plain,
    ! [X0] :
      ( accept_population(X0,christian,n25)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f684,plain,
    ! [X0] :
      ( accept_population(X0,atheist,n75)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f694,plain,
    ! [X0] :
      ( accept_population(X0,muslim,n1)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f875,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
    inference(cnf_transformation,[],[f193]) ).

fof(f950,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(cnf_transformation,[],[f268]) ).

fof(f951,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(cnf_transformation,[],[f269]) ).

fof(f976,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f294]) ).

fof(f977,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(cnf_transformation,[],[f295]) ).

fof(f1209,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f527]) ).

fof(f1221,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f539]) ).

fof(f1228,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_non_zero(X1) ),
    inference(cnf_transformation,[],[f575]) ).

fof(f1230,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f1232,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2))
      | less(X0,X1)
      | ~ rdn_positive_less(X2,X3) ),
    inference(cnf_transformation,[],[f580]) ).

fof(f1238,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(cnf_transformation,[],[f558]) ).

fof(f1240,plain,
    accept_city(muslimcountrybhumanitarianorganization,citya),
    inference(resolution,[],[f617,f1238]) ).

fof(f1242,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(resolution,[],[f950,f624]) ).

fof(f1244,definition,
    ( spl0_1
  <=> accept_city(muslimcountrybhumanitarianorganization,towna) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f1246,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f1248,definition,
    ( spl0_2
  <=> accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f1251,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1242,f1248,f1244]) ).

fof(f1257,plain,
    accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
    inference(resolution,[],[f951,f623]) ).

fof(f1258,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f1257,f1248]) ).

fof(f1273,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(X1,rdn(rdnn(n5),rdnn(n2)))
      | less(X0,n25)
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(resolution,[],[f1232,f977]) ).

fof(f1277,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(resolution,[],[f875,f617]) ).

fof(f1285,plain,
    rdn_non_zero(rdnn(n2)),
    inference(resolution,[],[f1230,f1209]) ).

fof(f1353,plain,
    ! [X0,X1] :
      ( ~ rdn_positive_less(rdnn(X0),rdnn(n5))
      | ~ rdn_non_zero(rdnn(n2))
      | less(X1,n25)
      | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2)))) ),
    inference(resolution,[],[f1228,f1273]) ).

fof(f1354,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X0),rdnn(n2))))
      | less(X1,n25)
      | ~ rdn_positive_less(rdnn(X0),rdnn(n5)) ),
    inference(forward_subsumption_resolution,[],[f1353,f1285]) ).

fof(f1367,plain,
    ! [X0,X1] :
      ( accept_population(X0,christian,X1)
      | ~ less(X1,n25)
      | ~ accept_city(X0,citya) ),
    inference(resolution,[],[f620,f683]) ).

fof(f1456,plain,
    ! [X0] :
      ( ~ accept_population(X0,atheist,n75)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,native,n0)
      | accept_city(X0,towna)
      | ~ accept_city(X0,citya) ),
    inference(resolution,[],[f673,f680]) ).

fof(f1459,plain,
    ! [X0] :
      ( ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,native,n0)
      | accept_city(X0,towna)
      | ~ accept_city(X0,citya) ),
    inference(forward_subsumption_resolution,[],[f1456,f684]) ).

fof(f1460,plain,
    ! [X0] :
      ( ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n24)
      | accept_city(X0,towna)
      | ~ accept_city(X0,citya) ),
    inference(forward_subsumption_resolution,[],[f1459,f681]) ).

fof(f1461,plain,
    ! [X0] :
      ( ~ accept_population(X0,christian,n24)
      | accept_city(X0,towna)
      | ~ accept_city(X0,citya)
      | ~ accept_city(X0,cityb) ),
    inference(resolution,[],[f1460,f694]) ).

fof(f1484,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,citya)
      | ~ accept_city(X0,cityb)
      | ~ less(n24,n25)
      | ~ accept_city(X0,citya) ),
    inference(resolution,[],[f1461,f1367]) ).

fof(f1485,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,citya)
      | ~ accept_city(X0,cityb)
      | ~ less(n24,n25) ),
    inference(duplicate_literal_removal,[],[f1484]) ).

fof(f1488,definition,
    ( spl0_15
  <=> less(n24,n25) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f1490,plain,
    ( ~ less(n24,n25)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f1488]) ).

fof(f1492,definition,
    ( spl0_16
  <=> ! [X0] :
        ( accept_city(X0,towna)
        | ~ accept_city(X0,cityb)
        | ~ accept_city(X0,citya) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f1493,plain,
    ( ! [X0] :
        ( ~ accept_city(X0,cityb)
        | accept_city(X0,towna)
        | ~ accept_city(X0,citya) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f1492]) ).

fof(f1494,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f1485,f1492,f1488]) ).

fof(f1514,plain,
    ( less(n24,n25)
    | ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
    inference(resolution,[],[f976,f1354]) ).

fof(f1519,plain,
    ( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
    | spl0_15 ),
    inference(forward_subsumption_resolution,[],[f1514,f1490]) ).

fof(f1520,plain,
    ( $false
    | spl0_15 ),
    inference(forward_subsumption_resolution,[],[f1519,f1221]) ).

fof(f1521,plain,
    spl0_15,
    inference(avatar_contradiction_clause,[],[f1520]) ).

fof(f1522,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_city(muslimcountrybhumanitarianorganization,citya)
    | ~ spl0_16 ),
    inference(resolution,[],[f1493,f1277]) ).

fof(f1523,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
    | spl0_1
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1522,f1246]) ).

fof(f1524,plain,
    ( $false
    | spl0_1
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1523,f1240]) ).

fof(f1525,plain,
    ( spl0_1
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1524]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f1251]) ).

cnf(s2,plain,
    spl0_2,
    inference(sat_conversion,[],[f1258]) ).

cnf(s10,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f1494]) ).

cnf(s13,plain,
    spl0_15,
    inference(sat_conversion,[],[f1521]) ).

cnf(s14,plain,
    ( spl0_1
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s15,plain,
    spl0_16,
    inference(rat,[],[s10,s13]) ).

cnf(s16,plain,
    spl0_1,
    inference(rat,[],[s14,s15]) ).

cnf(s18,plain,
    $false,
    inference(rat,[],[s1,s2,s16]) ).

fof(f1526,plain,
    $false,
    inference(avatar_sat_refutation,[],[s18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : AGT009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n002.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 19:11:38 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.08/1.44  % (663681)Detected formulas, will run a generic FOF schedule.
% 5.08/1.44  % (663690)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1272356302:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.08/1.44  % (663690)Refutation not found, incomplete strategy
% 5.08/1.44  % (663690)------------------------------
% 5.08/1.44  % (663690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.44  % (663690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.44  % (663690)CaDiCaL version: 2.1.3
% 5.08/1.44  % (663690)Termination reason: Refutation not found, incomplete strategy
% 5.08/1.44  % (663690)Time elapsed: 0.001 s
% 5.08/1.44  % (663690)Peak memory usage: 88 MB
% 5.08/1.44  % (663690)Instructions burned: 3 (million)
% 5.08/1.44  % (663691)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=365999032:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.08/1.44  % (663689)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=453420374:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.08/1.44  % (663686)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4260695121:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.08/1.44  % (663687)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3859588916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.08/1.44  % (663692)dis-21_1_sil=8000:lcm=predicate:random_seed=1783956149:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.08/1.44  % (663688)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3552288956:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.08/1.44  % (663689)Refutation not found, incomplete strategy
% 5.08/1.44  % (663689)------------------------------
% 5.08/1.44  % (663689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.44  % (663689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.44  % (663689)CaDiCaL version: 2.1.3
% 5.08/1.44  % (663689)Termination reason: Refutation not found, incomplete strategy
% 5.08/1.44  % (663689)Time elapsed: 0.002 s
% 5.08/1.44  % (663689)Peak memory usage: 87 MB
% 5.08/1.44  % (663689)Instructions burned: 2 (million)
% 5.08/1.44  % (663692)Instruction limit reached! 
% 5.08/1.44  % (663692)------------------------------
% 5.08/1.44  % (663692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.44  % (663692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.44  % (663692)CaDiCaL version: 2.1.3
% 5.08/1.44  % (663692)Termination reason: Instruction limit
% 5.08/1.44  % (663692)Termination phase: Saturation
% 5.08/1.44  % (663692)Time elapsed: 0.069 s
% 5.08/1.44  % (663692)Peak memory usage: 90 MB
% 5.08/1.44  % (663692)Instructions burned: 131 (million)
% 5.08/1.44  % (663691)Instruction limit reached! 
% 5.08/1.44  % (663691)------------------------------
% 5.08/1.44  % (663691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.44  % (663691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.44  % (663691)CaDiCaL version: 2.1.3
% 5.08/1.44  % (663691)Termination reason: Instruction limit
% 5.08/1.44  % (663691)Termination phase: Saturation
% 5.08/1.44  % (663691)Time elapsed: 0.080 s
% 5.08/1.44  % (663691)Peak memory usage: 90 MB
% 5.08/1.44  % (663691)Instructions burned: 139 (million)
% 5.08/1.44  % (663690)------------------------------
% 5.08/1.44  % (663690)------------------------------
% 5.08/1.44  % (663700)lrs+10_1_sil=8000:sp=occurrence:random_seed=675408708:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.08/1.44  % (663701)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3472821255:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.08/1.44  % (663700)Refutation not found, incomplete strategy
% 5.08/1.44  % (663700)------------------------------
% 5.08/1.44  % (663700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.08/1.44  % (663700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.44  % (663700)CaDiCaL version: 2.1.3
% 5.08/1.44  % (663700)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.82  % (663700)Time elapsed: 0.003 s
% 7.20/1.82  % (663700)Peak memory usage: 88 MB
% 7.20/1.82  % (663700)Instructions burned: 3 (million)
% 7.20/1.82  % (663701)Refutation not found, incomplete strategy
% 7.20/1.82  % (663701)------------------------------
% 7.20/1.82  % (663701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.82  % (663701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.82  % (663701)CaDiCaL version: 2.1.3
% 7.20/1.82  % (663701)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.82  % (663701)Time elapsed: 0.004 s
% 7.20/1.82  % (663701)Peak memory usage: 88 MB
% 7.20/1.82  % (663701)Instructions burned: 6 (million)
% 7.20/1.82  % (663702)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2901562438:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.20/1.82  % (663702)Refutation not found, incomplete strategy
% 7.20/1.82  % (663702)------------------------------
% 7.20/1.82  % (663702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.82  % (663702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.82  % (663702)CaDiCaL version: 2.1.3
% 7.20/1.82  % (663702)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.82  % (663702)Time elapsed: 0.001 s
% 7.20/1.82  % (663702)Peak memory usage: 88 MB
% 7.20/1.82  % (663702)Instructions burned: 2 (million)
% 7.20/1.82  % (663689)------------------------------
% 7.20/1.82  % (663689)------------------------------
% 7.20/1.82  % (663702)------------------------------
% 7.20/1.82  % (663702)------------------------------
% 7.20/1.82  [W928 19:11:39.072910625 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.072954395 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.072992898 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.073025808 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.073054865 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.073067091 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.073092435 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.073103815 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.82  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.82  [W928 19:11:39.073128408 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.88  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.88  [W928 19:11:39.073139678 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.88  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.88  [W928 19:11:39.073170502 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.88  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.88  [W928 19:11:39.073181028 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 7.20/1.88  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 7.20/1.88  % (663706)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2448312825:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.20/1.88  % (663700)------------------------------
% 7.20/1.88  % (663700)------------------------------
% 7.20/1.88  % (663701)------------------------------
% 7.20/1.88  % (663701)------------------------------
% 7.20/1.88  % (663707)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2990875798:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.20/1.88  % (663707)Refutation not found, incomplete strategy
% 7.20/1.88  % (663707)------------------------------
% 7.20/1.88  % (663707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663707)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663707)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663707)Time elapsed: 0.002 s
% 7.20/1.88  % (663707)Peak memory usage: 88 MB
% 7.20/1.88  % (663707)Instructions burned: 6 (million)
% 7.20/1.88  % (663706)Instruction limit reached! 
% 7.20/1.88  % (663706)------------------------------
% 7.20/1.88  % (663706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663706)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663706)Termination reason: Instruction limit
% 7.20/1.88  % (663706)Termination phase: Saturation
% 7.20/1.88  % (663706)Time elapsed: 0.115 s
% 7.20/1.88  % (663706)Peak memory usage: 94 MB
% 7.20/1.88  % (663706)Instructions burned: 250 (million)
% 7.20/1.88  % (663687)Refutation not found, incomplete strategy
% 7.20/1.88  % (663687)------------------------------
% 7.20/1.88  % (663687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663687)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663687)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663687)Time elapsed: 0.572 s
% 7.20/1.88  % (663687)Peak memory usage: 127 MB
% 7.20/1.88  % (663687)Instructions burned: 838 (million)
% 7.20/1.88  % (663709)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1670769727:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.20/1.88  % (663711)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1496248465:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.20/1.88  % (663711)Refutation not found, incomplete strategy
% 7.20/1.88  % (663711)------------------------------
% 7.20/1.88  % (663711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663711)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663711)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663711)Time elapsed: 0.003 s
% 7.20/1.88  % (663711)Peak memory usage: 88 MB
% 7.20/1.88  % (663711)Instructions burned: 3 (million)
% 7.20/1.88  % (663688)Refutation not found, incomplete strategy
% 7.20/1.88  % (663688)------------------------------
% 7.20/1.88  % (663688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663688)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663688)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663688)Time elapsed: 0.615 s
% 7.20/1.88  % (663688)Peak memory usage: 128 MB
% 7.20/1.88  % (663688)Instructions burned: 897 (million)
% 7.20/1.88  % (663707)------------------------------
% 7.20/1.88  % (663707)------------------------------
% 7.20/1.88  % (663712)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2771045508:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.20/1.88  % (663712)Instruction limit reached! 
% 7.20/1.88  % (663712)------------------------------
% 7.20/1.88  % (663712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663712)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663712)Termination reason: Instruction limit
% 7.20/1.88  % (663712)Termination phase: Saturation
% 7.20/1.88  % (663712)Time elapsed: 0.061 s
% 7.20/1.88  % (663712)Peak memory usage: 89 MB
% 7.20/1.88  % (663712)Instructions burned: 128 (million)
% 7.20/1.88  % (663715)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3575334437:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.20/1.88  % (663715)Refutation not found, incomplete strategy
% 7.20/1.88  % (663715)------------------------------
% 7.20/1.88  % (663715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663715)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663715)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663715)Time elapsed: 0.004 s
% 7.20/1.88  % (663715)Peak memory usage: 88 MB
% 7.20/1.88  % (663715)Instructions burned: 16 (million)
% 7.20/1.88  % (663686)First to succeed.
% 7.20/1.88  % (663686)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-663681"
% 7.20/1.88  % (663687)------------------------------
% 7.20/1.88  % (663687)------------------------------
% 7.20/1.88  % (663711)------------------------------
% 7.20/1.88  % (663711)------------------------------
% 7.20/1.88  % (663717)lrs+10_1_sil=8000:sp=occurrence:random_seed=1734759780:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.20/1.88  % (663717)Refutation not found, incomplete strategy
% 7.20/1.88  % (663717)------------------------------
% 7.20/1.88  % (663717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663717)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663717)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663717)Time elapsed: 0.004 s
% 7.20/1.88  % (663717)Peak memory usage: 88 MB
% 7.20/1.88  % (663717)Instructions burned: 6 (million)
% 7.20/1.88  % (663688)------------------------------
% 7.20/1.88  % (663688)------------------------------
% 7.20/1.88  % (663715)------------------------------
% 7.20/1.88  % (663715)------------------------------
% 7.20/1.88  % (663719)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1443191032:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.20/1.88  % (663719)Refutation not found, incomplete strategy
% 7.20/1.88  % (663719)------------------------------
% 7.20/1.88  % (663719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663719)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663719)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663719)Time elapsed: 0.002 s
% 7.20/1.88  % (663719)Peak memory usage: 88 MB
% 7.20/1.88  % (663719)Instructions burned: 2 (million)
% 7.20/1.88  % (663723)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3482735842:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 7.20/1.88  % (663723)Refutation not found, incomplete strategy
% 7.20/1.88  % (663723)------------------------------
% 7.20/1.88  % (663723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663723)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663723)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663723)Time elapsed: 0.004 s
% 7.20/1.88  % (663723)Peak memory usage: 88 MB
% 7.20/1.88  % (663723)Instructions burned: 12 (million)
% 7.20/1.88  % (663721)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3311378855:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.20/1.88  % (663722)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2086904013:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.20/1.88  % (663722)Refutation not found, incomplete strategy
% 7.20/1.88  % (663722)------------------------------
% 7.20/1.88  % (663722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.88  % (663722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.88  % (663722)CaDiCaL version: 2.1.3
% 7.20/1.88  % (663722)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.88  % (663722)Time elapsed: 0.004 s
% 7.20/1.88  % (663722)Peak memory usage: 88 MB
% 7.20/1.88  % (663722)Instructions burned: 4 (million)
% 7.20/1.88  % (663686)Refutation found. Thanks to Tanya!
% 7.20/1.88  % SZS status Theorem for theBenchmark
% 7.20/1.88  % SZS output start Proof for theBenchmark
% See solution above
% 9.14/2.08  % (663686)------------------------------
% 9.14/2.08  % (663686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.08  % (663686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.08  % (663686)CaDiCaL version: 2.1.3
% 9.14/2.08  % (663686)Termination reason: Refutation
% 9.14/2.08  % (663686)Time elapsed: 0.781 s
% 9.14/2.08  % (663686)Peak memory usage: 136 MB
% 9.14/2.08  % (663686)Instructions burned: 1174 (million)
% 9.14/2.08  % (663686)------------------------------
% 9.14/2.08  % (663686)------------------------------
% 9.14/2.08  % (663681)Success in time 1.217 s
% 9.14/2.08  % Vampire exiting
%------------------------------------------------------------------------------