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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : AGT010+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:06:45 AM UTC 2026

% Result   : Theorem 7.68s 1.60s
% Output   : Refutation 7.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  167 (  52 unt;  10 def)
%            Number of atoms       :  379 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  378 ( 166   ~; 163   |;  25   &)
%                                         (  15 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  23 usr;  11 prp; 0-4 aty)
%            Number of functors    :   32 (  32 usr;  29 con; 0-2 aty)
%            Number of variables   :  138 (   0 sgn 138   !;   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/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/AGT001+0.ax',a1_6) ).

fof(f14,axiom,
    ! [X0] :
      ( ( accept_population(X0,atheist,n12)
        & accept_population(X0,christian,n3)
        & accept_population(X0,muslim,n0)
        & accept_population(X0,native,n85)
        & accept_population(X0,other,n0) )
    <=> accept_city(X0,coastvillage) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_7) ).

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/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/sandbox/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/sandbox/benchmark/Axioms/AGT001+0.ax',a2_13) ).

fof(f47,axiom,
    accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_27) ).

fof(f57,axiom,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_37) ).

fof(f58,axiom,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_38) ).

fof(f146,axiom,
    accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_126) ).

fof(f178,axiom,
    the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_158) ).

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

fof(f271,axiom,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn1) ).

fof(f273,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).

fof(f282,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn12) ).

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

fof(f300,axiom,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn30) ).

fof(f527,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

fof(f535,axiom,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).

fof(f536,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

fof(f537,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).

fof(f544,axiom,
    ! [X0,X1,X2] :
      ( ( rdn_positive_less(rdnn(X0),rdnn(X1))
        & rdn_positive_less(rdnn(X1),rdnn(X2)) )
     => rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).

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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/NUM005+1.ax',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/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(f556,conjecture,
    ~ accept_population(countryamedicalorganization,native,n85),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_10) ).

fof(f557,negated_conjecture,
    ~ ~ accept_population(countryamedicalorganization,native,n85),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f558,plain,
    accept_population(countryamedicalorganization,native,n85),
    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(f567,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(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(f571,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
    inference(ennf_transformation,[],[f544]) ).

fof(f572,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
    inference(flattening,[],[f571]) ).

fof(f573,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(f576,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(ennf_transformation,[],[f547]) ).

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(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,[],[f566]) ).

fof(f591,plain,
    ! [X2,X0,X1] :
      ( accept_city(X0,X2)
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f593,plain,
    ! [X2,X0,X1] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f568]) ).

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,[],[f570]) ).

fof(f631,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n0)
      | accept_city(X0,coastvillage)
      | ~ accept_population(X0,native,n85)
      | ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,atheist,n12) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f644,plain,
    ! [X0] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,towna) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f647,plain,
    ! [X0] :
      ( accept_population(X0,christian,n24)
      | ~ accept_city(X0,towna) ),
    inference(cnf_transformation,[],[f16]) ).

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

fof(f672,plain,
    ! [X0] :
      ( accept_population(X0,atheist,n30)
      | ~ accept_city(X0,townc) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f699,plain,
    accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
    inference(cnf_transformation,[],[f47]) ).

fof(f709,plain,
    the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(cnf_transformation,[],[f57]) ).

fof(f710,plain,
    any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
    inference(cnf_transformation,[],[f58]) ).

fof(f798,plain,
    accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
    inference(cnf_transformation,[],[f146]) ).

fof(f830,plain,
    the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
    inference(cnf_transformation,[],[f178]) ).

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

fof(f923,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(cnf_transformation,[],[f271]) ).

fof(f925,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f273]) ).

fof(f934,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    inference(cnf_transformation,[],[f282]) ).

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

fof(f952,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    inference(cnf_transformation,[],[f300]) ).

fof(f1179,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f527]) ).

fof(f1187,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(cnf_transformation,[],[f535]) ).

fof(f1188,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(cnf_transformation,[],[f536]) ).

fof(f1189,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f537]) ).

fof(f1196,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2)) ),
    inference(cnf_transformation,[],[f572]) ).

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,[],[f573]) ).

fof(f1199,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(cnf_transformation,[],[f576]) ).

fof(f1200,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    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,[],[f580]) ).

fof(f1208,plain,
    accept_population(countryamedicalorganization,native,n85),
    inference(cnf_transformation,[],[f558]) ).

fof(f1216,plain,
    ( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
    | ~ accept_city(countryamedicalorganization,coastvillage) ),
    inference(resolution,[],[f594,f709]) ).

fof(f1229,definition,
    ( spl0_3
  <=> accept_city(countryamedicalorganization,coastvillage) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f1233,definition,
    ( spl0_4
  <=> accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f1235,plain,
    ( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f1236,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1216,f1233,f1229]) ).

fof(f1572,plain,
    ! [X0] :
      ( ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,native,n85)
      | accept_city(X0,coastvillage)
      | ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,atheist,n12)
      | ~ accept_city(X0,towna) ),
    inference(resolution,[],[f631,f644]) ).

fof(f3084,definition,
    ( spl0_14
  <=> accept_population(countryamedicalorganization,atheist,n12) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f3085,plain,
    ( accept_population(countryamedicalorganization,atheist,n12)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f3084]) ).

fof(f3086,plain,
    ( ~ accept_population(countryamedicalorganization,atheist,n12)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f3084]) ).

fof(f3088,definition,
    ( spl0_15
  <=> accept_population(countryamedicalorganization,christian,n3) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f3089,plain,
    ( accept_population(countryamedicalorganization,christian,n3)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f3088]) ).

fof(f3090,plain,
    ( ~ accept_population(countryamedicalorganization,christian,n3)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f3088]) ).

fof(f3092,definition,
    ( spl0_16
  <=> accept_population(countryamedicalorganization,muslim,n0) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f3093,plain,
    ( accept_population(countryamedicalorganization,muslim,n0)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f3092]) ).

fof(f3094,plain,
    ( ~ accept_population(countryamedicalorganization,muslim,n0)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f3092]) ).

fof(f3097,plain,
    ( ! [X0] :
        ( ~ accept_population(countryamedicalorganization,atheist,X0)
        | ~ less(n12,X0) )
    | spl0_14 ),
    inference(resolution,[],[f3086,f590]) ).

fof(f3103,plain,
    ( ~ less(n12,n30)
    | ~ accept_city(countryamedicalorganization,townc)
    | spl0_14 ),
    inference(resolution,[],[f3097,f672]) ).

fof(f3141,definition,
    ( spl0_21
  <=> accept_city(countryamedicalorganization,townc) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f3143,plain,
    ( ~ accept_city(countryamedicalorganization,townc)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f3141]) ).

fof(f3145,definition,
    ( spl0_22
  <=> less(n12,n30) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f3147,plain,
    ( ~ less(n12,n30)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f3145]) ).

fof(f3148,plain,
    ( ~ spl0_21
    | ~ spl0_22
    | spl0_14 ),
    inference(avatar_split_clause,[],[f3103,f3084,f3145,f3141]) ).

fof(f3150,plain,
    ( ! [X0,X1] : ~ accept_team(countryamedicalorganization,X0,townc,X1)
    | spl0_21 ),
    inference(resolution,[],[f3143,f587]) ).

fof(f3152,plain,
    ( $false
    | spl0_21 ),
    inference(resolution,[],[f3150,f798]) ).

fof(f3154,plain,
    spl0_21,
    inference(avatar_contradiction_clause,[],[f3152]) ).

fof(f3221,definition,
    ( spl0_32
  <=> accept_city(countryamedicalorganization,towna) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f3222,plain,
    ( accept_city(countryamedicalorganization,towna)
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f3221]) ).

fof(f3223,plain,
    ( ~ accept_city(countryamedicalorganization,towna)
    | spl0_32 ),
    inference(avatar_component_clause,[],[f3221]) ).

fof(f3230,definition,
    ( spl0_33
  <=> accept_city(countryamedicalorganization,cityb) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f3231,plain,
    ( accept_city(countryamedicalorganization,cityb)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f3230]) ).

fof(f3232,plain,
    ( ~ accept_city(countryamedicalorganization,cityb)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f3230]) ).

fof(f3240,plain,
    ( ! [X0] : ~ the_agent_in_all_proposed_teams(countryamedicalorganization,X0,cityb)
    | spl0_33 ),
    inference(resolution,[],[f3232,f591]) ).

fof(f3241,plain,
    ( $false
    | spl0_33 ),
    inference(resolution,[],[f3240,f830]) ).

fof(f3242,plain,
    spl0_33,
    inference(avatar_contradiction_clause,[],[f3241]) ).

fof(f3262,plain,
    ( ! [X0] :
        ( ~ accept_population(countryamedicalorganization,muslim,X0)
        | ~ less(n0,X0) )
    | spl0_16 ),
    inference(resolution,[],[f3094,f590]) ).

fof(f3318,plain,
    ( ~ less(n0,n1)
    | ~ accept_city(countryamedicalorganization,cityb)
    | spl0_16 ),
    inference(resolution,[],[f3262,f664]) ).

fof(f3328,plain,
    ( ~ less(n0,n1)
    | spl0_16
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f3318,f3231]) ).

fof(f3361,plain,
    ( ! [X0] :
        ( ~ accept_population(countryamedicalorganization,christian,X0)
        | ~ less(n3,X0) )
    | spl0_15 ),
    inference(resolution,[],[f3090,f590]) ).

fof(f3363,plain,
    ( ~ accept_population(countryamedicalorganization,native,n85)
    | accept_city(countryamedicalorganization,coastvillage)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,atheist,n12)
    | ~ accept_city(countryamedicalorganization,towna)
    | ~ spl0_16 ),
    inference(resolution,[],[f3093,f1572]) ).

fof(f3380,plain,
    ( ~ less(n3,n24)
    | ~ accept_city(countryamedicalorganization,towna)
    | spl0_15 ),
    inference(resolution,[],[f3361,f647]) ).

fof(f3406,definition,
    ( spl0_49
  <=> less(n3,n24) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f3408,plain,
    ( ~ less(n3,n24)
    | spl0_49 ),
    inference(avatar_component_clause,[],[f3406]) ).

fof(f3409,plain,
    ( ~ spl0_32
    | ~ spl0_49
    | spl0_15 ),
    inference(avatar_split_clause,[],[f3380,f3088,f3406,f3221]) ).

fof(f3411,plain,
    ( ! [X0,X1] : ~ accept_team(countryamedicalorganization,X0,towna,X1)
    | spl0_32 ),
    inference(resolution,[],[f3223,f587]) ).

fof(f3413,plain,
    ( $false
    | spl0_32 ),
    inference(resolution,[],[f3411,f699]) ).

fof(f3419,plain,
    spl0_32,
    inference(avatar_contradiction_clause,[],[f3413]) ).

fof(f3433,plain,
    ( accept_city(countryamedicalorganization,coastvillage)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,atheist,n12)
    | ~ accept_city(countryamedicalorganization,towna)
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f3363,f1208]) ).

fof(f3437,plain,
    ( accept_city(countryamedicalorganization,coastvillage)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_city(countryamedicalorganization,towna)
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f3433,f3085]) ).

fof(f3438,plain,
    ( accept_city(countryamedicalorganization,coastvillage)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ spl0_14
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f3437,f3222]) ).

fof(f3442,plain,
    ( ! [X0] : ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,X0)
    | spl0_4 ),
    inference(resolution,[],[f1235,f593]) ).

fof(f3850,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f3442,f710]) ).

fof(f3851,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f3850]) ).

fof(f3853,plain,
    ( accept_city(countryamedicalorganization,coastvillage)
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f3438,f3089]) ).

fof(f3856,plain,
    ( spl0_3
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f3853,f3221,f3092,f3088,f3084,f1229]) ).

fof(f3867,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n30,rdn_pos(X0))
        | ~ rdn_translate(n12,rdn_pos(X1))
        | ~ rdn_positive_less(X1,X0) )
    | spl0_22 ),
    inference(resolution,[],[f3147,f1202]) ).

fof(f5361,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n24,rdn_pos(X0))
        | ~ rdn_translate(n3,rdn_pos(X1))
        | ~ rdn_positive_less(X1,X0) )
    | spl0_49 ),
    inference(resolution,[],[f3408,f1202]) ).

fof(f27941,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(X0,rdn(rdnn(n0),rdnn(n3)))
        | ~ rdn_translate(n12,rdn_pos(X0)) )
    | spl0_22 ),
    inference(resolution,[],[f3867,f952]) ).

fof(f28371,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(rdnn(n3),X0)
        | ~ rdn_translate(n24,rdn_pos(X0)) )
    | spl0_49 ),
    inference(resolution,[],[f5361,f925]) ).

fof(f28644,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n24,rdn_pos(rdn(rdnn(X0),X1)))
        | ~ rdn_non_zero(X1) )
    | spl0_49 ),
    inference(resolution,[],[f28371,f1199]) ).

fof(f28773,plain,
    ( ~ rdn_non_zero(rdnn(n2))
    | spl0_49 ),
    inference(resolution,[],[f28644,f946]) ).

fof(f28902,plain,
    ( ~ rdn_non_zero_digit(rdnn(n2))
    | spl0_49 ),
    inference(resolution,[],[f28773,f1200]) ).

fof(f28903,plain,
    ( $false
    | spl0_49 ),
    inference(forward_subsumption_resolution,[],[f28902,f1179]) ).

fof(f28904,plain,
    spl0_49,
    inference(avatar_contradiction_clause,[],[f28903]) ).

fof(f29951,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n12,rdn_pos(rdn(rdnn(X0),X1)))
        | ~ rdn_positive_less(X1,rdnn(n3)) )
    | spl0_22 ),
    inference(resolution,[],[f27941,f1197]) ).

fof(f33523,plain,
    ( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
    | spl0_22 ),
    inference(resolution,[],[f29951,f934]) ).

fof(f33652,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(rdnn(n1),rdnn(X0))
        | ~ rdn_positive_less(rdnn(X0),rdnn(n3)) )
    | spl0_22 ),
    inference(resolution,[],[f33523,f1196]) ).

fof(f33783,plain,
    ( ~ rdn_positive_less(rdnn(n1),rdnn(n2))
    | spl0_22 ),
    inference(resolution,[],[f33652,f1189]) ).

fof(f33784,plain,
    ( $false
    | spl0_22 ),
    inference(forward_subsumption_resolution,[],[f33783,f1188]) ).

fof(f33785,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f33784]) ).

fof(f34186,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n1,rdn_pos(X0))
        | ~ rdn_translate(n0,rdn_pos(X1))
        | ~ rdn_positive_less(X1,X0) )
    | spl0_16
    | ~ spl0_33 ),
    inference(resolution,[],[f3328,f1202]) ).

fof(f38346,plain,
    ( ~ rdn_translate(n1,rdn_pos(rdnn(n1)))
    | ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
    | spl0_16
    | ~ spl0_33 ),
    inference(resolution,[],[f34186,f1187]) ).

fof(f38353,plain,
    ( ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
    | spl0_16
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f38346,f923]) ).

fof(f38354,plain,
    ( $false
    | spl0_16
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f38353,f922]) ).

fof(f38355,plain,
    ( spl0_16
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f38354]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f1236]) ).

cnf(s9,plain,
    ( spl0_14
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f3148]) ).

cnf(s10,plain,
    spl0_21,
    inference(sat_conversion,[],[f3154]) ).

cnf(s18,plain,
    spl0_33,
    inference(sat_conversion,[],[f3242]) ).

cnf(s30,plain,
    ( spl0_15
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f3409]) ).

cnf(s33,plain,
    spl0_32,
    inference(sat_conversion,[],[f3419]) ).

cnf(s65,plain,
    spl0_4,
    inference(sat_conversion,[],[f3851]) ).

cnf(s66,plain,
    ( spl0_3
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f3856]) ).

cnf(s82,plain,
    spl0_49,
    inference(sat_conversion,[],[f28904]) ).

cnf(s92,plain,
    spl0_22,
    inference(sat_conversion,[],[f33785]) ).

cnf(s101,plain,
    ( spl0_16
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f38355]) ).

cnf(s105,plain,
    spl0_15,
    inference(rat,[],[s30,s82,s33]) ).

cnf(s107,plain,
    spl0_16,
    inference(rat,[],[s101,s18]) ).

cnf(s110,plain,
    spl0_14,
    inference(rat,[],[s9,s92,s10]) ).

cnf(s111,plain,
    spl0_3,
    inference(rat,[],[s66,s33,s107,s105,s110]) ).

cnf(s113,plain,
    $false,
    inference(rat,[],[s2,s65,s111]) ).

fof(f38356,plain,
    $false,
    inference(avatar_sat_refutation,[],[s113]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : AGT010+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n008.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 19:09:54 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  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
% 7.68/1.60  % (2536687)Will run a generic schedule for satisfiability detection.
% 7.68/1.60  % (2536693)% WARNING: option uhcvi not known.
% 7.68/1.60  % (2536693)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4076193567:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.68/1.60  % (2536692)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3304626337_2999 on theBenchmark for (2999ds/0Mi)
% 7.68/1.60  % (2536695)dis+10_1_sil=32000:sp=arity:random_seed=2587131314:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.68/1.60  % (2536694)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3112375183:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.68/1.60  % (2536696)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3174069993:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.68/1.60  % (2536697)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=210211426:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.68/1.60  % (2536698)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=800940467:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.68/1.60  % TRYING [1]
% 7.68/1.60  % TRYING [2]
% 7.68/1.60  % (2536695)Instruction limit reached! 
% 7.68/1.60  % (2536695)------------------------------
% 7.68/1.60  % (2536695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536695)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536695)Termination reason: Instruction limit
% 7.68/1.60  % (2536695)Termination phase: Saturation
% 7.68/1.60  % (2536695)Time elapsed: 0.052 s
% 7.68/1.60  % (2536695)Peak memory usage: 13 MB
% 7.68/1.60  % (2536695)Instructions burned: 103 (million)
% 7.68/1.60  % TRYING [3]
% 7.68/1.60  % (2536696)Instruction limit reached! 
% 7.68/1.60  % (2536696)------------------------------
% 7.68/1.60  % (2536696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536696)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536696)Termination reason: Instruction limit
% 7.68/1.60  % (2536696)Termination phase: Saturation
% 7.68/1.60  % (2536696)Time elapsed: 0.060 s
% 7.68/1.60  % (2536696)Peak memory usage: 13 MB
% 7.68/1.60  % (2536696)Instructions burned: 116 (million)
% 7.68/1.60  % (2536697)Instruction limit reached! 
% 7.68/1.60  % (2536697)------------------------------
% 7.68/1.60  % (2536697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536697)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536697)Termination reason: Instruction limit
% 7.68/1.60  % (2536697)Termination phase: Saturation
% 7.68/1.60  % (2536697)Time elapsed: 0.065 s
% 7.68/1.60  % (2536697)Peak memory usage: 14 MB
% 7.68/1.60  % (2536697)Instructions burned: 131 (million)
% 7.68/1.60  % (2536706)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3370090146:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.68/1.60  % (2536707)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2670743780:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.68/1.60  % (2536708)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=2080095508:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.68/1.60  % (2536698)Instruction limit reached! 
% 7.68/1.60  % (2536698)------------------------------
% 7.68/1.60  % (2536698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536698)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536698)Termination reason: Instruction limit
% 7.68/1.60  % (2536698)Termination phase: Saturation
% 7.68/1.60  % (2536698)Time elapsed: 0.088 s
% 7.68/1.60  % (2536698)Peak memory usage: 15 MB
% 7.68/1.60  % (2536698)Instructions burned: 160 (million)
% 7.68/1.60  % (2536712)ott-21_1_sil=16000:fs=off:random_seed=1137016846:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.68/1.60  % TRYING [4]
% 7.68/1.60  % TRYING [1]
% 7.68/1.60  % TRYING [2]
% 7.68/1.60  % TRYING [3]
% 7.68/1.60  % (2536707)Instruction limit reached! 
% 7.68/1.60  % (2536707)------------------------------
% 7.68/1.60  % (2536707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536707)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536707)Termination reason: Instruction limit
% 7.68/1.60  % (2536707)Termination phase: Saturation
% 7.68/1.60  % (2536707)Time elapsed: 0.068 s
% 7.68/1.60  % (2536707)Peak memory usage: 15 MB
% 7.68/1.60  % (2536707)Instructions burned: 131 (million)
% 7.68/1.60  % (2536714)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3924168149:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.68/1.60  % (2536712)Instruction limit reached! 
% 7.68/1.60  % (2536712)------------------------------
% 7.68/1.60  % (2536712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536712)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536712)Termination reason: Instruction limit
% 7.68/1.60  % (2536712)Termination phase: Saturation
% 7.68/1.60  % (2536712)Time elapsed: 0.082 s
% 7.68/1.60  % (2536712)Peak memory usage: 13 MB
% 7.68/1.60  % (2536712)Instructions burned: 181 (million)
% 7.68/1.60  % (2536716)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4193657364:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.68/1.60  % TRYING [4]
% 7.68/1.60  % TRYING [1]
% 7.68/1.60  % TRYING [2]
% 7.68/1.60  % TRYING [3]
% 7.68/1.60  % TRYING [5]
% 7.68/1.60  % (2536706)Instruction limit reached! 
% 7.68/1.60  % (2536706)------------------------------
% 7.68/1.60  % (2536706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536706)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536706)Termination reason: Instruction limit
% 7.68/1.60  % (2536706)Termination phase: Finite model building SAT solving
% 7.68/1.60  % (2536706)Time elapsed: 0.316 s
% 7.68/1.60  % (2536706)Peak memory usage: 30 MB
% 7.68/1.60  % (2536706)Instructions burned: 714 (million)
% 7.68/1.60  % (2536714)Instruction limit reached! 
% 7.68/1.60  % (2536714)------------------------------
% 7.68/1.60  % (2536714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536714)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536714)Termination reason: Instruction limit
% 7.68/1.60  % (2536714)Termination phase: Saturation
% 7.68/1.60  % (2536714)Time elapsed: 0.243 s
% 7.68/1.60  % (2536714)Peak memory usage: 16 MB
% 7.68/1.60  % (2536714)Instructions burned: 479 (million)
% 7.68/1.60  % (2536718)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3920308870:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.68/1.60  % (2536720)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2971385814:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.68/1.60  % (2536708)Instruction limit reached! 
% 7.68/1.60  % (2536708)------------------------------
% 7.68/1.60  % (2536708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536708)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536708)Termination reason: Instruction limit
% 7.68/1.60  % (2536708)Termination phase: Saturation
% 7.68/1.60  % (2536708)Time elapsed: 0.354 s
% 7.68/1.60  % (2536708)Peak memory usage: 23 MB
% 7.68/1.60  % (2536708)Instructions burned: 685 (million)
% 7.68/1.60  % (2536722)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=1590940994: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)
% 7.68/1.60  % TRYING [14]
% 7.68/1.60  % (2536716)Instruction limit reached! 
% 7.68/1.60  % (2536716)------------------------------
% 7.68/1.60  % (2536716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536716)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536716)Termination reason: Instruction limit
% 7.68/1.60  % (2536716)Termination phase: Finite model building SAT solving
% 7.68/1.60  % (2536716)Time elapsed: 0.303 s
% 7.68/1.60  % (2536716)Peak memory usage: 20 MB
% 7.68/1.60  % (2536716)Instructions burned: 865 (million)
% 7.68/1.60  % (2536724)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2224402486:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.68/1.60  % (2536720)Instruction limit reached! 
% 7.68/1.60  % (2536720)------------------------------
% 7.68/1.60  % (2536720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536720)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536720)Termination reason: Instruction limit
% 7.68/1.60  % (2536720)Termination phase: Finite model building constraint generation
% 7.68/1.60  % (2536720)Time elapsed: 0.322 s
% 7.68/1.60  % (2536720)Peak memory usage: 73 MB
% 7.68/1.60  % (2536720)Instructions burned: 889 (million)
% 7.68/1.60  % (2536726)fmb+10_1_sil=64000:random_seed=1180815778:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.68/1.60  % (2536718)Instruction limit reached! 
% 7.68/1.60  % (2536718)------------------------------
% 7.68/1.60  % (2536718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536718)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536718)Termination reason: Instruction limit
% 7.68/1.60  % (2536718)Termination phase: Saturation
% 7.68/1.60  % (2536718)Time elapsed: 0.373 s
% 7.68/1.60  % (2536718)Peak memory usage: 12 MB
% 7.68/1.60  % (2536718)Instructions burned: 1179 (million)
% 7.68/1.60  % (2536728)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3413593822:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.68/1.60  % TRYING [6]
% 7.68/1.60  % TRYING [1]
% 7.68/1.60  % TRYING [2]
% 7.68/1.60  % (2536722)Instruction limit reached! 
% 7.68/1.60  % (2536722)------------------------------
% 7.68/1.60  % (2536722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536722)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536722)Termination reason: Instruction limit
% 7.68/1.60  % (2536722)Termination phase: Saturation
% 7.68/1.60  % (2536722)Time elapsed: 0.366 s
% 7.68/1.60  % (2536722)Peak memory usage: 24 MB
% 7.68/1.60  % (2536722)Instructions burned: 692 (million)
% 7.68/1.60  % TRYING [20]
% 7.68/1.60  % (2536730)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3056521194:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 7.68/1.60  % TRYING [3]
% 7.68/1.60  % TRYING [8]
% 7.68/1.60  % (2536724)Instruction limit reached! 
% 7.68/1.60  % (2536724)------------------------------
% 7.68/1.60  % (2536724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536724)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536724)Termination reason: Instruction limit
% 7.68/1.60  % (2536724)Termination phase: Saturation
% 7.68/1.60  % (2536724)Time elapsed: 0.396 s
% 7.68/1.60  % (2536724)Peak memory usage: 23 MB
% 7.68/1.60  % (2536724)Instructions burned: 880 (million)
% 7.68/1.60  % (2536732)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1876887019:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 7.68/1.60  % TRYING [4]
% 7.68/1.60  % (2536730)Instruction limit reached! 
% 7.68/1.60  % (2536730)------------------------------
% 7.68/1.60  % (2536730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536730)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536730)Termination reason: Instruction limit
% 7.68/1.60  % (2536730)Termination phase: Finite model building constraint generation
% 7.68/1.60  % (2536730)Time elapsed: 0.326 s
% 7.68/1.60  % (2536730)Peak memory usage: 68 MB
% 7.68/1.60  % (2536730)Instructions burned: 921 (million)
% 7.68/1.60  % (2536734)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2153128646:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 7.68/1.60  % (2536732) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2536687-2536732"...
% 7.68/1.60  % (2536732)...printing done.
% 7.68/1.60  % (2536732)Refutation found. Thanks to Tanya!
% 7.68/1.60  % SZS status Theorem for theBenchmark
% 7.68/1.60  % SZS output start Proof for theBenchmark
% See solution above
% 7.68/1.60  % (2536732)------------------------------
% 7.68/1.60  % (2536732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.68/1.60  % (2536732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.68/1.60  % (2536732)CaDiCaL version: 2.1.3
% 7.68/1.60  % (2536732)Termination reason: Refutation
% 7.68/1.60  % (2536732)Time elapsed: 0.341 s
% 7.68/1.60  % (2536732)Peak memory usage: 23 MB
% 7.68/1.60  % (2536732)Instructions burned: 706 (million)
% 7.68/1.60  % (2536687)Success in time 1.367 s
% 7.68/1.60  % Vampire exiting
%------------------------------------------------------------------------------