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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : AGT018+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 : n006.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 09:06:47 AM UTC 2026

% Result   : Theorem 8.10s 1.65s
% Output   : Refutation 8.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  127 (  38 unt;   7 def)
%            Number of atoms       :  313 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  350 ( 164   ~; 148   |;  20   &)
%                                         (  11 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   8 prp; 0-4 aty)
%            Number of functors    :   29 (  29 usr;  26 con; 0-2 aty)
%            Number of variables   :  122 (   0 sgn 120   !;   2   ?)

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

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

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

fof(f33,axiom,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_13) ).

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

fof(f348,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn78) ).

fof(f532,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).

fof(f540,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).

fof(f541,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).

fof(f542,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).

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(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/Axioms/NUM005+1.ax',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/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,
    ? [X0] : ~ accept_population(X0,christian,n24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_18) ).

fof(f557,negated_conjecture,
    ~ ? [X0] : ~ accept_population(X0,christian,n24),
    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(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(f570,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(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(flattening,[],[f570]) ).

fof(f573,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(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(flattening,[],[f573]) ).

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

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] : accept_population(X0,christian,n24),
    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(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(f632,plain,
    ! [X0] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,coastvillage) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f643,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,other,n0)
      | ~ 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(f663,plain,
    ! [X0] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f19]) ).

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

fof(f666,plain,
    ! [X0] :
      ( accept_population(X0,atheist,n78)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f19]) ).

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(f685,plain,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
    inference(cnf_transformation,[],[f33]) ).

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

fof(f1000,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f348]) ).

fof(f1184,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f532]) ).

fof(f1192,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f540]) ).

fof(f1193,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f541]) ).

fof(f1194,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f542]) ).

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,[],[f571]) ).

fof(f1198,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,[],[f574]) ).

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

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] : accept_population(X0,christian,n24),
    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(f1585,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n0)
      | accept_city(X0,towna)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,atheist,n75) ),
    inference(forward_subsumption_resolution,[],[f643,f1208]) ).

fof(f1589,plain,
    ! [X0] :
      ( ~ accept_population(X0,native,n0)
      | accept_city(X0,towna)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,atheist,n75)
      | ~ accept_city(X0,coastvillage) ),
    inference(resolution,[],[f1585,f632]) ).

fof(f1616,definition,
    ( spl0_5
  <=> accept_city(muslimcountrybhumanitarianorganization,cityb) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f1617,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,cityb)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1616]) ).

fof(f1618,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f1616]) ).

fof(f1626,plain,
    ( ! [X0,X1] : ~ accept_team(muslimcountrybhumanitarianorganization,X0,cityb,X1)
    | spl0_5 ),
    inference(resolution,[],[f1618,f587]) ).

fof(f1636,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,atheist,n75)
      | ~ accept_city(X0,coastvillage)
      | ~ accept_city(X0,cityb) ),
    inference(resolution,[],[f1589,f663]) ).

fof(f1641,plain,
    ! [X0] :
      ( ~ accept_population(X0,atheist,n75)
      | accept_city(X0,towna)
      | ~ accept_city(X0,coastvillage)
      | ~ accept_city(X0,cityb) ),
    inference(forward_subsumption_resolution,[],[f1636,f664]) ).

fof(f1642,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f1626,f680]) ).

fof(f1648,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f1642]) ).

fof(f1723,plain,
    ! [X0,X1] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,coastvillage)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,atheist,X1)
      | ~ less(n75,X1) ),
    inference(resolution,[],[f1641,f590]) ).

fof(f2000,definition,
    ( spl0_19
  <=> ! [X0] :
        ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
        | ~ less(n75,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f2001,plain,
    ( ! [X0] :
        ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
        | ~ less(n75,X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f2000]) ).

fof(f2824,plain,
    ( ! [X0] :
        ( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
        | ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
        | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
        | ~ less(n75,X0) )
    | spl0_1 ),
    inference(resolution,[],[f1723,f1220]) ).

fof(f2827,plain,
    ( ! [X0] :
        ( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
        | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,X0)
        | ~ less(n75,X0) )
    | spl0_1
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f2824,f1617]) ).

fof(f3120,definition,
    ( spl0_22
  <=> accept_city(muslimcountrybhumanitarianorganization,coastvillage) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f3122,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f3120]) ).

fof(f3123,plain,
    ( spl0_19
    | ~ spl0_22
    | spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f2827,f1616,f1218,f3120,f2000]) ).

fof(f3124,plain,
    ( ! [X0,X1] : ~ accept_team(muslimcountrybhumanitarianorganization,X0,coastvillage,X1)
    | spl0_22 ),
    inference(resolution,[],[f3122,f587]) ).

fof(f3130,plain,
    ( $false
    | spl0_22 ),
    inference(resolution,[],[f3124,f685]) ).

fof(f3134,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f3130]) ).

fof(f3151,plain,
    ( ~ less(n75,n78)
    | ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
    | ~ spl0_19 ),
    inference(resolution,[],[f2001,f666]) ).

fof(f3153,plain,
    ( ~ less(n75,n78)
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f3151,f1617]) ).

fof(f3338,plain,
    ( ! [X0] : ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,X0)
    | spl0_2 ),
    inference(resolution,[],[f1224,f593]) ).

fof(f3559,definition,
    ( spl0_66
  <=> rdn_non_zero(rdnn(n7)) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f3560,plain,
    ( rdn_non_zero(rdnn(n7))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f3559]) ).

fof(f3561,plain,
    ( ~ rdn_non_zero(rdnn(n7))
    | spl0_66 ),
    inference(avatar_component_clause,[],[f3559]) ).

fof(f3566,plain,
    ( ~ rdn_non_zero_digit(rdnn(n7))
    | spl0_66 ),
    inference(resolution,[],[f3561,f1200]) ).

fof(f3567,plain,
    ( $false
    | spl0_66 ),
    inference(forward_subsumption_resolution,[],[f3566,f1184]) ).

fof(f3568,plain,
    spl0_66,
    inference(avatar_contradiction_clause,[],[f3567]) ).

fof(f3773,definition,
    ( spl0_69
  <=> rdn_positive_less(rdnn(n5),rdnn(n7)) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f3774,plain,
    ( rdn_positive_less(rdnn(n5),rdnn(n7))
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f3773]) ).

fof(f3775,plain,
    ( ~ rdn_positive_less(rdnn(n5),rdnn(n7))
    | spl0_69 ),
    inference(avatar_component_clause,[],[f3773]) ).

fof(f3781,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(rdnn(n5),rdnn(X0))
        | ~ rdn_positive_less(rdnn(X0),rdnn(n7)) )
    | spl0_69 ),
    inference(resolution,[],[f3775,f1196]) ).

fof(f3792,plain,
    ( ~ rdn_positive_less(rdnn(n6),rdnn(n7))
    | spl0_69 ),
    inference(resolution,[],[f3781,f1192]) ).

fof(f3795,plain,
    ( $false
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f3792,f1193]) ).

fof(f3796,plain,
    spl0_69,
    inference(avatar_contradiction_clause,[],[f3795]) ).

fof(f4236,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f3338,f684]) ).

fof(f4237,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f4236]) ).

fof(f4241,plain,
    ( ! [X0,X1] :
        ( ~ rdn_translate(n78,rdn_pos(X0))
        | ~ rdn_translate(n75,rdn_pos(X1))
        | ~ rdn_positive_less(X1,X0) )
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(resolution,[],[f3153,f1202]) ).

fof(f7297,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(X0,rdn(rdnn(n8),rdnn(n7)))
        | ~ rdn_translate(n75,rdn_pos(X0)) )
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(resolution,[],[f4241,f1000]) ).

fof(f39721,plain,
    ( ! [X0] :
        ( ~ rdn_translate(n75,rdn_pos(rdn(rdnn(X0),rdnn(n7))))
        | ~ rdn_positive_less(rdnn(X0),rdnn(n8))
        | ~ rdn_non_zero(rdnn(n7)) )
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(resolution,[],[f7297,f1198]) ).

fof(f39722,plain,
    ( ! [X0] :
        ( ~ rdn_translate(n75,rdn_pos(rdn(rdnn(X0),rdnn(n7))))
        | ~ rdn_positive_less(rdnn(X0),rdnn(n8)) )
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[],[f39721,f3560]) ).

fof(f42097,plain,
    ( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(resolution,[],[f39722,f997]) ).

fof(f42100,plain,
    ( ! [X0] :
        ( ~ rdn_positive_less(rdnn(n5),rdnn(X0))
        | ~ rdn_positive_less(rdnn(X0),rdnn(n8)) )
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(resolution,[],[f42097,f1196]) ).

fof(f42106,plain,
    ( ~ rdn_positive_less(rdnn(n5),rdnn(n7))
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_66 ),
    inference(resolution,[],[f42100,f1194]) ).

fof(f42107,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_19
    | ~ spl0_66
    | ~ spl0_69 ),
    inference(forward_subsumption_resolution,[],[f42106,f3774]) ).

fof(f42108,plain,
    ( ~ spl0_5
    | ~ spl0_19
    | ~ spl0_66
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f42107]) ).

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

cnf(s6,plain,
    spl0_5,
    inference(sat_conversion,[],[f1648]) ).

cnf(s16,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_19
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f3123]) ).

cnf(s18,plain,
    spl0_22,
    inference(sat_conversion,[],[f3134]) ).

cnf(s47,plain,
    spl0_66,
    inference(sat_conversion,[],[f3568]) ).

cnf(s55,plain,
    spl0_69,
    inference(sat_conversion,[],[f3796]) ).

cnf(s76,plain,
    spl0_2,
    inference(sat_conversion,[],[f4237]) ).

cnf(s221,plain,
    ( ~ spl0_5
    | ~ spl0_19
    | ~ spl0_66
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f42108]) ).

cnf(s238,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_19 ),
    inference(rat,[],[s16,s18]) ).

cnf(s241,plain,
    ~ spl0_19,
    inference(rat,[],[s221,s55,s47,s6]) ).

cnf(s242,plain,
    spl0_1,
    inference(rat,[],[s238,s241,s6]) ).

cnf(s243,plain,
    $false,
    inference(rat,[],[s1,s76,s242]) ).

fof(f42109,plain,
    $false,
    inference(avatar_sat_refutation,[],[s243]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT018+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17  % Computer : n006.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Mon Sep 28 19:11:40 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20  Running first-order model finding
% 0.06/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.10/1.65  % (81323)Will run a generic schedule for satisfiability detection.
% 8.10/1.65  % (81330)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2754458569:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.10/1.65  % (81329)% WARNING: option uhcvi not known.
% 8.10/1.65  % (81328)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2548007900_2999 on theBenchmark for (2999ds/0Mi)
% 8.10/1.65  % (81329)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3572924516:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.10/1.65  % (81332)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=114497910:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.10/1.65  % (81331)dis+10_1_sil=32000:sp=arity:random_seed=4202659452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.10/1.65  % (81333)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3355933920:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.10/1.65  % (81334)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=771720363:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.10/1.65  % TRYING [1]
% 8.10/1.65  % TRYING [2]
% 8.10/1.65  % (81331)Instruction limit reached! 
% 8.10/1.65  % (81331)------------------------------
% 8.10/1.65  % (81331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81331)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81331)Termination reason: Instruction limit
% 8.10/1.65  % (81331)Termination phase: Saturation
% 8.10/1.65  % (81331)Time elapsed: 0.052 s
% 8.10/1.65  % (81331)Peak memory usage: 13 MB
% 8.10/1.65  % (81331)Instructions burned: 104 (million)
% 8.10/1.65  % TRYING [3]
% 8.10/1.65  % (81332)Instruction limit reached! 
% 8.10/1.65  % (81332)------------------------------
% 8.10/1.65  % (81332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81332)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81332)Termination reason: Instruction limit
% 8.10/1.65  % (81332)Termination phase: Saturation
% 8.10/1.65  % (81332)Time elapsed: 0.060 s
% 8.10/1.65  % (81332)Peak memory usage: 14 MB
% 8.10/1.65  % (81332)Instructions burned: 117 (million)
% 8.10/1.65  % (81333)Instruction limit reached! 
% 8.10/1.65  % (81333)------------------------------
% 8.10/1.65  % (81333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81333)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81333)Termination reason: Instruction limit
% 8.10/1.65  % (81333)Termination phase: Saturation
% 8.10/1.65  % (81333)Time elapsed: 0.066 s
% 8.10/1.65  % (81333)Peak memory usage: 15 MB
% 8.10/1.65  % (81333)Instructions burned: 132 (million)
% 8.10/1.65  % (81342)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3883740978:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.10/1.65  % (81343)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3556480264:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.10/1.65  % (81344)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=2178923493:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.10/1.65  % (81334)Instruction limit reached! 
% 8.10/1.65  % (81334)------------------------------
% 8.10/1.65  % (81334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81334)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81334)Termination reason: Instruction limit
% 8.10/1.65  % (81334)Termination phase: Saturation
% 8.10/1.65  % (81334)Time elapsed: 0.088 s
% 8.10/1.65  % (81334)Peak memory usage: 15 MB
% 8.10/1.65  % (81334)Instructions burned: 159 (million)
% 8.10/1.65  % TRYING [1]
% 8.10/1.65  % (81348)ott-21_1_sil=16000:fs=off:random_seed=3730405239:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.10/1.65  % TRYING [4]
% 8.10/1.65  % TRYING [2]
% 8.10/1.65  % TRYING [3]
% 8.10/1.65  % (81343)Instruction limit reached! 
% 8.10/1.65  % (81343)------------------------------
% 8.10/1.65  % (81343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81343)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81343)Termination reason: Instruction limit
% 8.10/1.65  % (81343)Termination phase: Saturation
% 8.10/1.65  % (81343)Time elapsed: 0.069 s
% 8.10/1.65  % (81343)Peak memory usage: 14 MB
% 8.10/1.65  % (81343)Instructions burned: 131 (million)
% 8.10/1.65  % (81350)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3732619625:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.10/1.65  % (81348)Instruction limit reached! 
% 8.10/1.65  % (81348)------------------------------
% 8.10/1.65  % (81348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81348)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81348)Termination reason: Instruction limit
% 8.10/1.65  % (81348)Termination phase: Saturation
% 8.10/1.65  % (81348)Time elapsed: 0.083 s
% 8.10/1.65  % (81348)Peak memory usage: 14 MB
% 8.10/1.65  % (81348)Instructions burned: 182 (million)
% 8.10/1.65  % (81352)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2557597585:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.10/1.65  % TRYING [4]
% 8.10/1.65  % TRYING [1]
% 8.10/1.65  % TRYING [2]
% 8.10/1.65  % TRYING [3]
% 8.10/1.65  % (81342)Instruction limit reached! 
% 8.10/1.65  % (81342)------------------------------
% 8.10/1.65  % (81342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81342)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81342)Termination reason: Instruction limit
% 8.10/1.65  % (81342)Termination phase: Finite model building SAT solving
% 8.10/1.65  % (81342)Time elapsed: 0.316 s
% 8.10/1.65  % (81342)Peak memory usage: 34 MB
% 8.10/1.65  % (81342)Instructions burned: 714 (million)
% 8.10/1.65  % TRYING [5]
% 8.10/1.65  % (81354)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1785415638:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.10/1.65  % (81350)Instruction limit reached! 
% 8.10/1.65  % (81350)------------------------------
% 8.10/1.65  % (81350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81350)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81350)Termination reason: Instruction limit
% 8.10/1.65  % (81350)Termination phase: Saturation
% 8.10/1.65  % (81350)Time elapsed: 0.244 s
% 8.10/1.65  % (81350)Peak memory usage: 17 MB
% 8.10/1.65  % (81350)Instructions burned: 478 (million)
% 8.10/1.65  % (81356)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2475260363:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.10/1.65  % (81344)Instruction limit reached! 
% 8.10/1.65  % (81344)------------------------------
% 8.10/1.65  % (81344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81344)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81344)Termination reason: Instruction limit
% 8.10/1.65  % (81344)Termination phase: Saturation
% 8.10/1.65  % (81344)Time elapsed: 0.355 s
% 8.10/1.65  % (81344)Peak memory usage: 23 MB
% 8.10/1.65  % (81344)Instructions burned: 685 (million)
% 8.10/1.65  % (81358)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=804304231: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)
% 8.10/1.65  % TRYING [14]
% 8.10/1.65  % TRYING [4]
% 8.10/1.65  % (81352)Instruction limit reached! 
% 8.10/1.65  % (81352)------------------------------
% 8.10/1.65  % (81352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81352)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81352)Termination reason: Instruction limit
% 8.10/1.65  % (81352)Termination phase: Finite model building constraint generation
% 8.10/1.65  % (81352)Time elapsed: 0.314 s
% 8.10/1.65  % (81352)Peak memory usage: 21 MB
% 8.10/1.65  % (81352)Instructions burned: 867 (million)
% 8.10/1.65  % (81360)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=538744519:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.10/1.65  % (81356)Instruction limit reached! 
% 8.10/1.65  % (81356)------------------------------
% 8.10/1.65  % (81356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81356)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81356)Termination reason: Instruction limit
% 8.10/1.65  % (81356)Termination phase: Finite model building constraint generation
% 8.10/1.65  % (81356)Time elapsed: 0.327 s
% 8.10/1.65  % (81356)Peak memory usage: 73 MB
% 8.10/1.65  % (81356)Instructions burned: 891 (million)
% 8.10/1.65  % (81354)Instruction limit reached! 
% 8.10/1.65  % (81354)------------------------------
% 8.10/1.65  % (81354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81354)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81354)Termination reason: Instruction limit
% 8.10/1.65  % (81354)Termination phase: Saturation
% 8.10/1.65  % (81354)Time elapsed: 0.375 s
% 8.10/1.65  % (81354)Peak memory usage: 13 MB
% 8.10/1.65  % (81354)Instructions burned: 1180 (million)
% 8.10/1.65  % (81362)fmb+10_1_sil=64000:random_seed=124669462:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 8.10/1.65  % (81364)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3693226098:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 8.10/1.65  % TRYING [1]
% 8.10/1.65  % (81358)Instruction limit reached! 
% 8.10/1.65  % (81358)------------------------------
% 8.10/1.65  % (81358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81358)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81358)Termination reason: Instruction limit
% 8.10/1.65  % (81358)Termination phase: Saturation
% 8.10/1.65  % (81358)Time elapsed: 0.360 s
% 8.10/1.65  % (81358)Peak memory usage: 26 MB
% 8.10/1.65  % (81358)Instructions burned: 692 (million)
% 8.10/1.65  % TRYING [2]
% 8.10/1.65  % TRYING [20]
% 8.10/1.65  % (81366)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1877292088:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 8.10/1.65  % TRYING [8]
% 8.10/1.65  % TRYING [3]
% 8.10/1.65  % (81360)Instruction limit reached! 
% 8.10/1.65  % (81360)------------------------------
% 8.10/1.65  % (81360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81360)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81360)Termination reason: Instruction limit
% 8.10/1.65  % (81360)Termination phase: Saturation
% 8.10/1.65  % (81360)Time elapsed: 0.394 s
% 8.10/1.65  % (81360)Peak memory usage: 23 MB
% 8.10/1.65  % (81360)Instructions burned: 879 (million)
% 8.10/1.65  % (81368)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1377585573:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 8.10/1.65  % TRYING [4]
% 8.10/1.65  % (81366)Instruction limit reached! 
% 8.10/1.65  % (81366)------------------------------
% 8.10/1.65  % (81366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81366)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81366)Termination reason: Instruction limit
% 8.10/1.65  % (81366)Termination phase: Finite model building constraint generation
% 8.10/1.65  % (81366)Time elapsed: 0.331 s
% 8.10/1.65  % (81366)Peak memory usage: 68 MB
% 8.10/1.65  % (81366)Instructions burned: 921 (million)
% 8.10/1.65  % (81370)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2054558616:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.10/1.65  % TRYING [6]
% 8.10/1.65  % (81368) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-81323-81368"...
% 8.10/1.65  % (81368)...printing done.
% 8.10/1.65  % (81368)Refutation found. Thanks to Tanya!
% 8.10/1.65  % SZS status Theorem for theBenchmark
% 8.10/1.65  % SZS output start Proof for theBenchmark
% See solution above
% 8.10/1.65  % (81368)------------------------------
% 8.10/1.65  % (81368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.65  % (81368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.65  % (81368)CaDiCaL version: 2.1.3
% 8.10/1.65  % (81368)Termination reason: Refutation
% 8.10/1.65  % (81368)Time elapsed: 0.406 s
% 8.10/1.65  % (81368)Peak memory usage: 25 MB
% 8.10/1.65  % (81368)Instructions burned: 820 (million)
% 8.10/1.65  % (81323)Success in time 1.446 s
% 8.10/1.65  % Vampire exiting
%------------------------------------------------------------------------------