↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : AGT007+2 : 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 : n003.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 37.55s 9.26s
% Output   : Refutation 37.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  133 (  62 unt;   4 def)
%            Number of atoms       :  294 (   9 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  286 ( 125   ~; 114   |;  33   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   5 prp; 0-4 aty)
%            Number of functors    :   26 (  26 usr;  23 con; 0-2 aty)
%            Number of variables   :  112 (   0 sgn 112   !;   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(f2,axiom,
    ! [X0,X1,X2] :
      ( ( accept_number(X0,X1)
        & less(X2,X1) )
     => accept_number(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_2) ).

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(f18,axiom,
    ! [X0] :
      ( ( accept_population(X0,atheist,n70)
        & accept_population(X0,christian,n20)
        & accept_population(X0,muslim,n8)
        & accept_population(X0,native,n0)
        & accept_population(X0,other,n2) )
    <=> accept_city(X0,townb) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_11) ).

fof(f27,axiom,
    accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_7) ).

fof(f163,axiom,
    ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n5),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_143) ).

fof(f224,axiom,
    accept_number(countrybcivilorganization,n3),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_204) ).

fof(f234,axiom,
    accept_number(countryccivilorganization,n2),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_214) ).

fof(f313,axiom,
    accept_population(countrybcivilorganization,other,n5),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_44) ).

fof(f314,axiom,
    accept_population(countrybcivilorganization,muslim,n65),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_45) ).

fof(f320,axiom,
    accept_population(countrybcivilorganization,christian,n20),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_51) ).

fof(f327,axiom,
    ~ accept_number(countryccivilorganization,n5),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_58) ).

fof(f561,axiom,
    accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_292) ).

fof(f565,axiom,
    accept_population(countrybcivilorganization,native,n0),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_296) ).

fof(f568,axiom,
    accept_population(countrybcivilorganization,atheist,n75),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_299) ).

fof(f645,axiom,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn8) ).

fof(f702,axiom,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn65) ).

fof(f707,axiom,
    rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn70) ).

fof(f712,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn75) ).

fof(f898,axiom,
    rdn_non_zero_digit(rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).

fof(f899,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).

fof(f902,axiom,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).

fof(f903,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

fof(f904,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).

fof(f905,axiom,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).

fof(f906,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

fof(f911,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(f913,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(f914,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(f915,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(f917,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(f920,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( ~ less(X1,X0)
        & X1 != X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).

fof(f923,conjecture,
    accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_7) ).

fof(f924,negated_conjecture,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
    inference(negated_conjecture,[status(cth)],[f923]) ).

fof(f925,plain,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
    inference(flattening,[],[f924]) ).

fof(f930,plain,
    ! [X0,X1,X2] :
      ( accept_number(X0,X2)
      | ~ accept_number(X0,X1)
      | ~ less(X2,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f931,plain,
    ! [X0,X1,X2] :
      ( accept_number(X0,X2)
      | ~ accept_number(X0,X1)
      | ~ less(X2,X1) ),
    inference(flattening,[],[f930]) ).

fof(f932,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f933,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1) ),
    inference(flattening,[],[f932]) ).

fof(f938,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,[],[f911]) ).

fof(f939,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,[],[f938]) ).

fof(f941,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,[],[f913]) ).

fof(f942,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,[],[f941]) ).

fof(f943,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(ennf_transformation,[],[f914]) ).

fof(f944,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f915]) ).

fof(f946,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,[],[f917]) ).

fof(f947,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,[],[f946]) ).

fof(f952,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(f953,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,[],[f952]) ).

fof(f974,plain,
    ! [X0] :
      ( ( ( accept_population(X0,atheist,n70)
          & accept_population(X0,christian,n20)
          & accept_population(X0,muslim,n8)
          & accept_population(X0,native,n0)
          & accept_population(X0,other,n2) )
        | ~ accept_city(X0,townb) )
      & ( accept_city(X0,townb)
        | ~ accept_population(X0,atheist,n70)
        | ~ accept_population(X0,christian,n20)
        | ~ accept_population(X0,muslim,n8)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,other,n2) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f975,plain,
    ! [X0] :
      ( ( ( accept_population(X0,atheist,n70)
          & accept_population(X0,christian,n20)
          & accept_population(X0,muslim,n8)
          & accept_population(X0,native,n0)
          & accept_population(X0,other,n2) )
        | ~ accept_city(X0,townb) )
      & ( accept_city(X0,townb)
        | ~ accept_population(X0,atheist,n70)
        | ~ accept_population(X0,christian,n20)
        | ~ accept_population(X0,muslim,n8)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,other,n2) ) ),
    inference(flattening,[],[f974]) ).

fof(f980,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f920]) ).

fof(f981,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f980]) ).

fof(f985,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_number(X0,X2)
      | ~ accept_city(X0,X1)
      | ~ accept_leader(X0,X3)
      | accept_team(X0,X3,X1,X2) ),
    inference(cnf_transformation,[],[f953]) ).

fof(f986,plain,
    ! [X2,X0,X1] :
      ( ~ less(X2,X1)
      | ~ accept_number(X0,X1)
      | accept_number(X0,X2) ),
    inference(cnf_transformation,[],[f931]) ).

fof(f987,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2)
      | ~ less(X2,X1) ),
    inference(cnf_transformation,[],[f933]) ).

fof(f1052,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n2)
      | ~ accept_population(X0,atheist,n70)
      | ~ accept_population(X0,christian,n20)
      | ~ accept_population(X0,muslim,n8)
      | ~ accept_population(X0,native,n0)
      | accept_city(X0,townb) ),
    inference(cnf_transformation,[],[f975]) ).

fof(f1076,plain,
    accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2),
    inference(cnf_transformation,[],[f27]) ).

fof(f1212,plain,
    ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n5),
    inference(cnf_transformation,[],[f163]) ).

fof(f1273,plain,
    accept_number(countrybcivilorganization,n3),
    inference(cnf_transformation,[],[f224]) ).

fof(f1283,plain,
    accept_number(countryccivilorganization,n2),
    inference(cnf_transformation,[],[f234]) ).

fof(f1362,plain,
    accept_population(countrybcivilorganization,other,n5),
    inference(cnf_transformation,[],[f313]) ).

fof(f1363,plain,
    accept_population(countrybcivilorganization,muslim,n65),
    inference(cnf_transformation,[],[f314]) ).

fof(f1369,plain,
    accept_population(countrybcivilorganization,christian,n20),
    inference(cnf_transformation,[],[f320]) ).

fof(f1376,plain,
    ~ accept_number(countryccivilorganization,n5),
    inference(cnf_transformation,[],[f327]) ).

fof(f1610,plain,
    accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
    inference(cnf_transformation,[],[f561]) ).

fof(f1614,plain,
    accept_population(countrybcivilorganization,native,n0),
    inference(cnf_transformation,[],[f565]) ).

fof(f1617,plain,
    accept_population(countrybcivilorganization,atheist,n75),
    inference(cnf_transformation,[],[f568]) ).

fof(f1694,plain,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    inference(cnf_transformation,[],[f645]) ).

fof(f1751,plain,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    inference(cnf_transformation,[],[f702]) ).

fof(f1756,plain,
    rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
    inference(cnf_transformation,[],[f707]) ).

fof(f1761,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f712]) ).

fof(f1947,plain,
    rdn_non_zero_digit(rdnn(n6)),
    inference(cnf_transformation,[],[f898]) ).

fof(f1948,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f899]) ).

fof(f1951,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(cnf_transformation,[],[f902]) ).

fof(f1952,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(cnf_transformation,[],[f903]) ).

fof(f1953,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f904]) ).

fof(f1954,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    inference(cnf_transformation,[],[f905]) ).

fof(f1955,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f906]) ).

fof(f1960,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1))
      | rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(cnf_transformation,[],[f939]) ).

fof(f1962,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(rdnn(X0),rdnn(X2))
      | rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_non_zero(X1) ),
    inference(cnf_transformation,[],[f942]) ).

fof(f1963,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_non_zero(X2)
      | rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
    inference(cnf_transformation,[],[f943]) ).

fof(f1964,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f944]) ).

fof(f1966,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,[],[f947]) ).

fof(f1971,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | less(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f981]) ).

fof(f1972,plain,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
    inference(cnf_transformation,[],[f925]) ).

fof(f1974,plain,
    rdn_non_zero(rdnn(n7)),
    inference(unit_resulting_resolution,[],[f1964,f1948]) ).

fof(f1982,plain,
    rdn_non_zero(rdnn(n6)),
    inference(unit_resulting_resolution,[],[f1964,f1947]) ).

fof(f3285,plain,
    ~ less(n5,n2),
    inference(unit_resulting_resolution,[],[f986,f1376,f1283]) ).

fof(f3295,plain,
    ! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n6))),
    inference(unit_resulting_resolution,[],[f1963,f1982]) ).

fof(f3328,plain,
    ( less(n2,n5)
    | n2 = n5 ),
    inference(resolution,[],[f1971,f3285]) ).

fof(f3747,plain,
    ! [X0] :
      ( ~ less(X0,n75)
      | accept_population(countrybcivilorganization,atheist,X0) ),
    inference(resolution,[],[f987,f1617]) ).

fof(f3754,plain,
    ! [X0] :
      ( ~ less(X0,n65)
      | accept_population(countrybcivilorganization,muslim,X0) ),
    inference(resolution,[],[f987,f1363]) ).

fof(f3830,definition,
    ( spl0_3
  <=> n2 = n5 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f3832,plain,
    ( n2 = n5
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f3830]) ).

fof(f3834,definition,
    ( spl0_4
  <=> less(n2,n5) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f3836,plain,
    ( less(n2,n5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f3834]) ).

fof(f3837,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f3328,f3834,f3830]) ).

fof(f3855,plain,
    ( ~ accept_team(countryccivilorganization,countrybhumanitarianorganization,cityb,n2)
    | ~ spl0_3 ),
    inference(superposition,[],[f1212,f3832]) ).

fof(f3935,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f3855,f1076]) ).

fof(f3936,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f3935]) ).

fof(f3947,plain,
    ( accept_population(countrybcivilorganization,other,n2)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f987,f1362,f3836]) ).

fof(f66420,plain,
    ~ accept_city(countrybcivilorganization,townb),
    inference(unit_resulting_resolution,[],[f985,f1610,f1972,f1273]) ).

fof(f123422,plain,
    ( ~ accept_population(countrybcivilorganization,atheist,n70)
    | ~ accept_population(countrybcivilorganization,christian,n20)
    | ~ accept_population(countrybcivilorganization,muslim,n8)
    | ~ accept_population(countrybcivilorganization,native,n0)
    | accept_city(countrybcivilorganization,townb)
    | ~ spl0_4 ),
    inference(resolution,[],[f1052,f3947]) ).

fof(f123427,plain,
    ( ~ accept_population(countrybcivilorganization,atheist,n70)
    | ~ accept_population(countrybcivilorganization,muslim,n8)
    | ~ accept_population(countrybcivilorganization,native,n0)
    | accept_city(countrybcivilorganization,townb)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f123422,f1369]) ).

fof(f123438,plain,
    ( ~ accept_population(countrybcivilorganization,atheist,n70)
    | ~ accept_population(countrybcivilorganization,muslim,n8)
    | accept_city(countrybcivilorganization,townb)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f123427,f1614]) ).

fof(f123446,plain,
    ( ~ accept_population(countrybcivilorganization,atheist,n70)
    | ~ accept_population(countrybcivilorganization,muslim,n8)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f123438,f66420]) ).

fof(f123448,definition,
    ( spl0_11
  <=> accept_population(countrybcivilorganization,muslim,n8) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f123450,plain,
    ( ~ accept_population(countrybcivilorganization,muslim,n8)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f123448]) ).

fof(f123452,definition,
    ( spl0_12
  <=> accept_population(countrybcivilorganization,atheist,n70) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f123454,plain,
    ( ~ accept_population(countrybcivilorganization,atheist,n70)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f123452]) ).

fof(f123455,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f123446,f3834,f123452,f123448]) ).

fof(f123457,plain,
    ( ~ less(n8,n65)
    | spl0_11 ),
    inference(unit_resulting_resolution,[],[f3754,f123450]) ).

fof(f123489,plain,
    ( ~ rdn_positive_less(rdnn(n8),rdn(rdnn(n5),rdnn(n6)))
    | spl0_11 ),
    inference(unit_resulting_resolution,[],[f1966,f1751,f1694,f123457]) ).

fof(f123493,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f123489,f3295]) ).

fof(f123494,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f123493]) ).

fof(f123627,plain,
    ( ~ less(n70,n75)
    | spl0_12 ),
    inference(unit_resulting_resolution,[],[f3747,f123454]) ).

fof(f123647,plain,
    ( ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n5),rdnn(n7)))
    | spl0_12 ),
    inference(unit_resulting_resolution,[],[f1966,f1761,f1756,f123627]) ).

fof(f194886,plain,
    ( ~ rdn_positive_less(rdnn(n0),rdnn(n5))
    | spl0_12 ),
    inference(unit_resulting_resolution,[],[f1962,f1974,f123647]) ).

fof(f194890,plain,
    ( ~ rdn_positive_less(rdnn(n0),rdnn(n4))
    | spl0_12 ),
    inference(unit_resulting_resolution,[],[f1960,f1955,f194886]) ).

fof(f194896,plain,
    ( ~ rdn_positive_less(rdnn(n0),rdnn(n3))
    | spl0_12 ),
    inference(unit_resulting_resolution,[],[f1960,f1954,f194890]) ).

fof(f194905,plain,
    ( ~ rdn_positive_less(rdnn(n0),rdnn(n2))
    | spl0_12 ),
    inference(unit_resulting_resolution,[],[f1960,f1953,f194896]) ).

fof(f194917,plain,
    ( ~ rdn_positive_less(rdnn(n1),rdnn(n2))
    | spl0_12 ),
    inference(unit_resulting_resolution,[],[f1960,f1951,f194905]) ).

fof(f194922,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[],[f194917,f1952]) ).

fof(f194923,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f194922]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f3837]) ).

cnf(s4,plain,
    ~ spl0_3,
    inference(sat_conversion,[],[f3936]) ).

cnf(s12,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f123455]) ).

cnf(s14,plain,
    spl0_11,
    inference(sat_conversion,[],[f123494]) ).

cnf(s25,plain,
    spl0_12,
    inference(sat_conversion,[],[f194923]) ).

cnf(s26,plain,
    ~ spl0_4,
    inference(rat,[],[s12,s25,s14]) ).

cnf(s30,plain,
    $false,
    inference(rat,[],[s2,s26,s4]) ).

fof(f194924,plain,
    $false,
    inference(avatar_sat_refutation,[],[s30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT007+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n003.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 19:10:43 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  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
% 25.82/3.93  % (1887806)Will run a generic schedule for satisfiability detection.
% 25.82/3.93  % (1887814)dis+10_1_sil=32000:sp=arity:random_seed=4248875383:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 25.82/3.93  % (1887812)% WARNING: option uhcvi not known.
% 25.82/3.93  % (1887811)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2241734077_2999 on theBenchmark for (2999ds/0Mi)
% 25.82/3.93  % (1887812)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3459729670:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 25.82/3.93  % (1887813)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3312907729:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 25.82/3.93  % (1887815)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=852615997:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 25.82/3.93  % (1887816)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1348016080:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 25.82/3.93  % (1887817)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=570464949:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 25.82/3.93  % (1887814)Instruction limit reached! 
% 25.82/3.93  % (1887814)------------------------------
% 25.82/3.93  % (1887814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.82/3.93  % (1887814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.82/3.93  % (1887814)CaDiCaL version: 2.1.3
% 25.82/3.93  % (1887814)Termination reason: Instruction limit
% 25.82/3.93  % (1887814)Termination phase: Saturation
% 25.82/3.93  % (1887814)Time elapsed: 0.027 s
% 25.82/3.93  % (1887814)Peak memory usage: 13 MB
% 25.82/3.93  % (1887814)Instructions burned: 104 (million)
% 25.82/3.93  % (1887825)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3929847840:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 25.82/3.93  % TRYING [1]
% 25.82/3.93  % TRYING [2]
% 25.82/3.93  % TRYING [1]
% 25.82/3.93  % TRYING [2]
% 25.82/3.93  % (1887815)Instruction limit reached! 
% 25.82/3.93  % (1887815)------------------------------
% 25.82/3.93  % (1887815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.82/3.93  % (1887815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.82/3.93  % (1887815)CaDiCaL version: 2.1.3
% 25.82/3.93  % (1887815)Termination reason: Instruction limit
% 25.82/3.93  % (1887815)Termination phase: Saturation
% 25.82/3.93  % (1887815)Time elapsed: 0.057 s
% 25.82/3.93  % (1887815)Peak memory usage: 14 MB
% 25.82/3.93  % (1887815)Instructions burned: 118 (million)
% 25.82/3.93  % TRYING [3]
% 25.82/3.93  % TRYING [3]
% 25.82/3.93  % (1887827)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2347125344:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 25.82/3.93  % (1887817)Instruction limit reached! 
% 25.82/3.93  % (1887817)------------------------------
% 25.82/3.93  % (1887817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.82/3.93  % (1887817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.82/3.93  % (1887817)CaDiCaL version: 2.1.3
% 25.82/3.93  % (1887817)Termination reason: Instruction limit
% 25.82/3.93  % (1887817)Termination phase: Saturation
% 25.82/3.93  % (1887817)Time elapsed: 0.085 s
% 25.82/3.93  % (1887817)Peak memory usage: 15 MB
% 25.82/3.93  % (1887817)Instructions burned: 160 (million)
% 25.82/3.93  % (1887816)Instruction limit reached! 
% 25.82/3.93  % (1887816)------------------------------
% 25.82/3.93  % (1887816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.82/3.93  % (1887816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.82/3.93  % (1887816)CaDiCaL version: 2.1.3
% 25.82/3.93  % (1887816)Termination reason: Instruction limit
% 25.82/3.93  % (1887816)Termination phase: Saturation
% 25.82/3.93  % (1887816)Time elapsed: 0.086 s
% 25.82/3.93  % (1887816)Peak memory usage: 15 MB
% 25.82/3.93  % (1887816)Instructions burned: 132 (million)
% 25.82/3.93  % TRYING [4]
% 25.82/3.93  % (1887830)ott-21_1_sil=16000:fs=off:random_seed=2594211443:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 25.82/3.93  % (1887829)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=2912234464:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 25.82/3.93  % TRYING [4]
% 25.82/3.93  % (1887827)Instruction limit reached! 
% 25.82/3.93  % (1887827)------------------------------
% 25.82/3.93  % (1887827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.82/3.93  % (1887827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.04/5.23  % (1887827)CaDiCaL version: 2.1.3
% 35.04/5.23  % (1887827)Termination reason: Instruction limit
% 35.04/5.23  % (1887827)Termination phase: Saturation
% 35.04/5.23  % (1887827)Time elapsed: 0.067 s
% 35.04/5.23  % (1887827)Peak memory usage: 14 MB
% 35.04/5.23  % (1887827)Instructions burned: 132 (million)
% 35.04/5.23  % (1887833)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3903036018:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 35.04/5.23  % (1887830)Instruction limit reached! 
% 35.04/5.23  % (1887830)------------------------------
% 35.04/5.23  % (1887830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.04/5.23  % (1887830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.04/5.23  % (1887830)CaDiCaL version: 2.1.3
% 35.04/5.23  % (1887830)Termination reason: Instruction limit
% 35.04/5.23  % (1887830)Termination phase: Saturation
% 35.04/5.23  % (1887830)Time elapsed: 0.081 s
% 35.04/5.23  % (1887830)Peak memory usage: 13 MB
% 35.04/5.23  % (1887830)Instructions burned: 181 (million)
% 35.04/5.23  % (1887825)Instruction limit reached! 
% 35.04/5.23  % (1887825)------------------------------
% 35.04/5.23  % (1887825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.04/5.23  % (1887825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.04/5.23  % (1887825)CaDiCaL version: 2.1.3
% 35.04/5.23  % (1887825)Termination reason: Instruction limit
% 35.04/5.23  % (1887825)Termination phase: Finite model building SAT solving
% 35.04/5.23  % (1887825)Time elapsed: 0.165 s
% 35.04/5.23  % (1887825)Peak memory usage: 32 MB
% 35.04/5.23  % (1887825)Instructions burned: 716 (million)
% 35.04/5.23  % (1887835)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3882587316:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 35.04/5.23  % (1887836)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1549234053:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 35.04/5.23  % TRYING [1]
% 35.04/5.23  % TRYING [2]
% 35.04/5.23  % TRYING [5]
% 35.04/5.23  % TRYING [3]
% 35.04/5.23  % (1887833)Instruction limit reached! 
% 35.04/5.23  % (1887833)------------------------------
% 35.04/5.23  % (1887833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.04/5.23  % (1887833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.04/5.23  % (1887833)CaDiCaL version: 2.1.3
% 35.04/5.23  % (1887833)Termination reason: Instruction limit
% 35.04/5.23  % (1887833)Termination phase: Saturation
% 35.04/5.23  % (1887833)Time elapsed: 0.237 s
% 35.04/5.23  % (1887833)Peak memory usage: 17 MB
% 35.04/5.23  % (1887833)Instructions burned: 480 (million)
% 35.04/5.23  % (1887839)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=469962461:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 35.04/5.23  % (1887829)Instruction limit reached! 
% 35.04/5.23  % (1887829)------------------------------
% 35.04/5.23  % (1887829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.04/5.23  % (1887829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.04/5.23  % (1887829)CaDiCaL version: 2.1.3
% 35.04/5.23  % (1887829)Termination reason: Instruction limit
% 35.04/5.23  % (1887829)Termination phase: Saturation
% 35.04/5.23  % (1887829)Time elapsed: 0.355 s
% 35.04/5.23  % (1887829)Peak memory usage: 23 MB
% 35.04/5.23  % (1887829)Instructions burned: 685 (million)
% 35.04/5.23  % (1887841)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=2849752779:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 35.04/5.23  % TRYING [14]
% 35.04/5.23  % (1887835)Instruction limit reached! 
% 35.04/5.23  % (1887835)------------------------------
% 35.04/5.23  % (1887835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.04/5.23  % (1887835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.04/5.23  % (1887835)CaDiCaL version: 2.1.3
% 35.04/5.23  % (1887835)Termination reason: Instruction limit
% 35.04/5.23  % (1887835)Termination phase: Finite model building SAT solving
% 35.04/5.23  % (1887835)Time elapsed: 0.309 s
% 35.04/5.23  % (1887835)Peak memory usage: 21 MB
% 35.04/5.23  % (1887835)Instructions burned: 866 (million)
% 35.04/5.23  % (1887843)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3406828344:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 35.04/5.23  % (1887836)Instruction limit reached! 
% 35.04/5.23  % (1887836)------------------------------
% 35.04/5.23  % (1887836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887836)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887836)Termination reason: Instruction limit
% 37.55/9.26  % (1887836)Termination phase: Saturation
% 37.55/9.26  % (1887836)Time elapsed: 0.344 s
% 37.55/9.26  % (1887836)Peak memory usage: 33 MB
% 37.55/9.26  % (1887836)Instructions burned: 1181 (million)
% 37.55/9.26  % (1887845)fmb+10_1_sil=64000:random_seed=1201350397:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 37.55/9.26  % TRYING [1]
% 37.55/9.26  % TRYING [2]
% 37.55/9.26  % TRYING [3]
% 37.55/9.26  % TRYING [6]
% 37.55/9.26  % TRYING [4]
% 37.55/9.26  % (1887839)Instruction limit reached! 
% 37.55/9.26  % (1887839)------------------------------
% 37.55/9.26  % (1887839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887839)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887839)Termination reason: Instruction limit
% 37.55/9.26  % (1887839)Termination phase: Finite model building constraint generation
% 37.55/9.26  % (1887839)Time elapsed: 0.329 s
% 37.55/9.26  % (1887839)Peak memory usage: 74 MB
% 37.55/9.26  % (1887839)Instructions burned: 889 (million)
% 37.55/9.26  % (1887847)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1480669382:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 37.55/9.26  % TRYING [20]
% 37.55/9.26  % (1887841)Instruction limit reached! 
% 37.55/9.26  % (1887841)------------------------------
% 37.55/9.26  % (1887841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887841)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887841)Termination reason: Instruction limit
% 37.55/9.26  % (1887841)Termination phase: Saturation
% 37.55/9.26  % (1887841)Time elapsed: 0.394 s
% 37.55/9.26  % (1887841)Peak memory usage: 26 MB
% 37.55/9.26  % (1887841)Instructions burned: 692 (million)
% 37.55/9.26  % (1887849)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2158822982:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 37.55/9.26  % (1887843)Instruction limit reached! 
% 37.55/9.26  % (1887843)------------------------------
% 37.55/9.26  % (1887843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887843)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887843)Termination reason: Instruction limit
% 37.55/9.26  % (1887843)Termination phase: Saturation
% 37.55/9.26  % (1887843)Time elapsed: 0.401 s
% 37.55/9.26  % (1887843)Peak memory usage: 24 MB
% 37.55/9.26  % (1887843)Instructions burned: 879 (million)
% 37.55/9.26  % TRYING [8]
% 37.55/9.26  % (1887851)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3871403616:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 37.55/9.26  % TRYING [5]
% 37.55/9.26  % (1887849)Instruction limit reached! 
% 37.55/9.26  % (1887849)------------------------------
% 37.55/9.26  % (1887849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887849)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887849)Termination reason: Instruction limit
% 37.55/9.26  % (1887849)Termination phase: Finite model building constraint generation
% 37.55/9.26  % (1887849)Time elapsed: 0.325 s
% 37.55/9.26  % (1887849)Peak memory usage: 68 MB
% 37.55/9.26  % (1887849)Instructions burned: 921 (million)
% 37.55/9.26  % (1887853)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3687294041:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 37.55/9.26  % TRYING [7]
% 37.55/9.26  % TRYING [6]
% 37.55/9.26  % (1887853)Instruction limit reached! 
% 37.55/9.26  % (1887853)------------------------------
% 37.55/9.26  % (1887853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887853)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887853)Termination reason: Instruction limit
% 37.55/9.26  % (1887853)Termination phase: Saturation
% 37.55/9.26  % (1887853)Time elapsed: 0.776 s
% 37.55/9.26  % (1887853)Peak memory usage: 30 MB
% 37.55/9.26  % (1887853)Instructions burned: 1473 (million)
% 37.55/9.26  % (1887855)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1700178950:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 37.55/9.26  % TRYING [77]
% 37.55/9.26  % TRYING [7]
% 37.55/9.26  % TRYING [8]
% 37.55/9.26  % (1887851)Instruction limit reached! 
% 37.55/9.26  % (1887851)------------------------------
% 37.55/9.26  % (1887851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887851)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887851)Termination reason: Instruction limit
% 37.55/9.26  % (1887851)Termination phase: Saturation
% 37.55/9.26  % (1887851)Time elapsed: 2.671 s
% 37.55/9.26  % (1887851)Peak memory usage: 48 MB
% 37.55/9.26  % (1887851)Instructions burned: 5132 (million)
% 37.55/9.26  % (1887857)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=28459681:fmbsr=2.30978:i=2174_2963 on theBenchmark for (2963ds/2174Mi)
% 37.55/9.26  % TRYING [16]
% 37.55/9.26  % (1887847)Instruction limit reached! 
% 37.55/9.26  % (1887847)------------------------------
% 37.55/9.26  % (1887847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887847)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887847)Termination reason: Instruction limit
% 37.55/9.26  % (1887847)Termination phase: Finite model building constraint generation
% 37.55/9.26  % (1887847)Time elapsed: 3.521 s
% 37.55/9.26  % (1887847)Peak memory usage: 565 MB
% 37.55/9.26  % (1887847)Instructions burned: 9517 (million)
% 37.55/9.26  % (1887859)ott-2_1_sil=16000:newcnf=on:random_seed=22953624:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 37.55/9.26  % (1887855)Instruction limit reached! 
% 37.55/9.26  % (1887855)------------------------------
% 37.55/9.26  % (1887855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887855)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887855)Termination reason: Instruction limit
% 37.55/9.26  % (1887855)Termination phase: Finite model building constraint generation
% 37.55/9.26  % (1887855)Time elapsed: 2.364 s
% 37.55/9.26  % (1887855)Peak memory usage: 525 MB
% 37.55/9.26  % (1887855)Instructions burned: 6325 (million)
% 37.55/9.26  % (1887857)Instruction limit reached! 
% 37.55/9.26  % (1887857)------------------------------
% 37.55/9.26  % (1887857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887857)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887857)Termination reason: Instruction limit
% 37.55/9.26  % (1887857)Termination phase: Finite model building constraint generation
% 37.55/9.26  % (1887857)Time elapsed: 0.791 s
% 37.55/9.26  % (1887857)Peak memory usage: 153 MB
% 37.55/9.26  % (1887857)Instructions burned: 2174 (million)
% 37.55/9.26  % (1887861)ott+10_1_sil=32000:tgt=ground:random_seed=1856618177:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 37.55/9.26  % (1887862)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=516482174:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 37.55/9.26  % TRYING [1]
% 37.55/9.26  % TRYING [2]
% 37.55/9.26  % TRYING [3]
% 37.55/9.26  % TRYING [4]
% 37.55/9.26  % TRYING [8]
% 37.55/9.26  % TRYING [5]
% 37.55/9.26  % (1887859)Instruction limit reached! 
% 37.55/9.26  % (1887859)------------------------------
% 37.55/9.26  % (1887859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887859)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887859)Termination reason: Instruction limit
% 37.55/9.26  % (1887859)Termination phase: Saturation
% 37.55/9.26  % (1887859)Time elapsed: 0.493 s
% 37.55/9.26  % (1887859)Peak memory usage: 20 MB
% 37.55/9.26  % (1887859)Instructions burned: 870 (million)
% 37.55/9.26  % (1887845)Instruction limit reached! 
% 37.55/9.26  % (1887845)------------------------------
% 37.55/9.26  % (1887845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887865)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2574356443:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 37.55/9.26  % (1887845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887845)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887845)Termination reason: Instruction limit
% 37.55/9.26  % (1887845)Termination phase: Finite model building constraint generation
% 37.55/9.26  % (1887845)Time elapsed: 4.353 s
% 37.55/9.26  % (1887845)Peak memory usage: 105 MB
% 37.55/9.26  % (1887845)Instructions burned: 22066 (million)
% 37.55/9.26  % (1887867)dis+21_1_sil=32000:sas=cadical:random_seed=687407259:i=3773:amm=off_2950 on theBenchmark for (2950ds/3773Mi)
% 37.55/9.26  % TRYING [6]
% 37.55/9.26  % TRYING [9]
% 37.55/9.26  % (1887867)Instruction limit reached! 
% 37.55/9.26  % (1887867)------------------------------
% 37.55/9.26  % (1887867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887867)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887867)Termination reason: Instruction limit
% 37.55/9.26  % (1887867)Termination phase: Saturation
% 37.55/9.26  % (1887867)Time elapsed: 0.953 s
% 37.55/9.26  % (1887867)Peak memory usage: 41 MB
% 37.55/9.26  % (1887867)Instructions burned: 3778 (million)
% 37.55/9.26  % (1887869)ott+11_1_sil=16000:gs=on:random_seed=2485479485:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2940 on theBenchmark for (2940ds/2251Mi)
% 37.55/9.26  % TRYING [7]
% 37.55/9.26  % (1887865)Instruction limit reached! 
% 37.55/9.26  % (1887865)------------------------------
% 37.55/9.26  % (1887865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887865)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887865)Termination reason: Instruction limit
% 37.55/9.26  % (1887865)Termination phase: Saturation
% 37.55/9.26  % (1887865)Time elapsed: 1.555 s
% 37.55/9.26  % (1887865)Peak memory usage: 53 MB
% 37.55/9.26  % (1887865)Instructions burned: 3514 (million)
% 37.55/9.26  % (1887871)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2962626238:fmbsr=1.6:i=67534_2934 on theBenchmark for (2934ds/67534Mi)
% 37.55/9.26  % TRYING [7]
% 37.55/9.26  % (1887869)Instruction limit reached! 
% 37.55/9.26  % (1887869)------------------------------
% 37.55/9.26  % (1887869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887869)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887869)Termination reason: Instruction limit
% 37.55/9.26  % (1887869)Termination phase: Saturation
% 37.55/9.26  % (1887869)Time elapsed: 0.674 s
% 37.55/9.26  % (1887869)Peak memory usage: 44 MB
% 37.55/9.26  % (1887869)Instructions burned: 2254 (million)
% 37.55/9.26  % (1887873)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2730436176:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2933 on theBenchmark for (2933ds/4591Mi)
% 37.55/9.26  % (1887861)Instruction limit reached! 
% 37.55/9.26  % (1887861)------------------------------
% 37.55/9.26  % (1887861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887861)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887861)Termination reason: Instruction limit
% 37.55/9.26  % (1887861)Termination phase: Saturation
% 37.55/9.26  % (1887861)Time elapsed: 2.432 s
% 37.55/9.26  % (1887861)Peak memory usage: 72 MB
% 37.55/9.26  % (1887861)Instructions burned: 5114 (million)
% 37.55/9.26  % (1887875)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2260874781:i=29340_2930 on theBenchmark for (2930ds/29340Mi)
% 37.55/9.26  % TRYING [8]
% 37.55/9.26  % (1887873)Instruction limit reached! 
% 37.55/9.26  % (1887873)------------------------------
% 37.55/9.26  % (1887873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.26  % (1887873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.26  % (1887873)CaDiCaL version: 2.1.3
% 37.55/9.26  % (1887873)Termination reason: Instruction limit
% 37.55/9.26  % (1887873)Termination phase: Saturation
% 37.55/9.26  % (1887873)Time elapsed: 1.373 s
% 37.55/9.26  % (1887873)Peak memory usage: 65 MB
% 37.55/9.26  % (1887873)Instructions burned: 4593 (million)
% 37.55/9.26  % (1887877)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3674748326:i=5211_2919 on theBenchmark for (2919ds/5211Mi)
% 37.55/9.26  % (1887875) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1887806-1887875"...
% 37.55/9.26  % (1887875)...printing done.
% 37.55/9.26  % (1887875)Refutation found. Thanks to Tanya!
% 37.55/9.26  % SZS status Theorem for theBenchmark
% 37.55/9.26  % SZS output start Proof for theBenchmark
% See solution above
% 37.55/9.27  % (1887875)------------------------------
% 37.55/9.27  % (1887875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.55/9.27  % (1887875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.55/9.27  % (1887875)CaDiCaL version: 2.1.3
% 37.55/9.27  % (1887875)Termination reason: Refutation
% 37.55/9.27  % (1887875)Time elapsed: 1.904 s
% 37.55/9.27  % (1887875)Peak memory usage: 54 MB
% 37.55/9.27  % (1887875)Instructions burned: 4283 (million)
% 37.55/9.27  % (1887806)Success in time 9.02 s
% 37.55/9.27  % Vampire exiting
%------------------------------------------------------------------------------