TSTP Solution File: AGT010+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : AGT010+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 10:09:04 EDT 2024

% Result   : Theorem 6.08s 1.23s
% Output   : Refutation 6.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   92 (  40 unt;   0 def)
%            Number of atoms       :  233 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  285 ( 144   ~; 110   |;  20   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-2 aty)
%            Number of variables   :  126 ( 126   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27767,plain,
    $false,
    inference(resolution,[],[f27747,f1327]) ).

fof(f1327,plain,
    accept_population(countryamedicalorganization,atheist,n30),
    inference(cnf_transformation,[],[f287]) ).

fof(f287,axiom,
    accept_population(countryamedicalorganization,atheist,n30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_18) ).

fof(f27747,plain,
    ~ accept_population(countryamedicalorganization,atheist,n30),
    inference(resolution,[],[f27730,f1832]) ).

fof(f1832,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    inference(cnf_transformation,[],[f667]) ).

fof(f667,axiom,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).

fof(f27730,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n3))))
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f27644,f1698]) ).

fof(f1698,plain,
    rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
    inference(cnf_transformation,[],[f664]) ).

fof(f664,axiom,
    rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn27) ).

fof(f27644,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n27,rdn_pos(rdn(rdnn(X2),rdnn(n2))))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n3))))
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f25841,f1519]) ).

fof(f1519,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f904]) ).

fof(f904,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).

fof(f25841,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_positive_less(X4,X2)
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
      | ~ rdn_translate(n27,rdn_pos(rdn(rdnn(X3),X4)))
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f24881,f1982]) ).

fof(f1982,plain,
    ! [X2,X3,X0,X1] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(cnf_transformation,[],[f961]) ).

fof(f961,plain,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
      | ~ rdn_positive_less(X1,X3) ),
    inference(ennf_transformation,[],[f939]) ).

fof(f939,plain,
    ! [X0,X1,X2,X3] :
      ( rdn_positive_less(X1,X3)
     => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
    inference(rectify,[],[f912]) ).

fof(f912,axiom,
    ! [X9,X10,X11,X12] :
      ( rdn_positive_less(X10,X12)
     => rdn_positive_less(rdn(rdnn(X9),X10),rdn(rdnn(X11),X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).

fof(f24881,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(X1,X2)
      | ~ accept_population(countryamedicalorganization,atheist,X0)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(n27,rdn_pos(X1)) ),
    inference(resolution,[],[f24866,f1984]) ).

fof(f1984,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f965]) ).

fof(f965,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(flattening,[],[f964]) ).

fof(f964,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f941]) ).

fof(f941,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X2,X3)
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_pos(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f917]) ).

fof(f917,axiom,
    ! [X6,X7,X15,X16] :
      ( ( rdn_positive_less(X15,X16)
        & rdn_translate(X7,rdn_pos(X16))
        & rdn_translate(X6,rdn_pos(X15)) )
     => less(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f24866,plain,
    ! [X0] :
      ( ~ less(n27,X0)
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f24856,f1986]) ).

fof(f1986,plain,
    ! [X2,X3,X0,X1] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(cnf_transformation,[],[f969]) ).

fof(f969,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(flattening,[],[f968]) ).

fof(f968,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(ennf_transformation,[],[f943]) ).

fof(f943,plain,
    ! [X0,X1,X2,X3] :
      ( ( less(X2,X1)
        & accept_population(X0,X3,X1) )
     => accept_population(X0,X3,X2) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X2,X4,X5] :
      ( ( less(X4,X2)
        & accept_population(X0,X5,X2) )
     => accept_population(X0,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).

fof(f24856,plain,
    ~ accept_population(countryamedicalorganization,atheist,n27),
    inference(resolution,[],[f24845,f1698]) ).

fof(f24845,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f24798,f1826]) ).

fof(f1826,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    inference(cnf_transformation,[],[f649]) ).

fof(f649,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).

fof(f24798,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n12,rdn_pos(rdn(rdnn(X2),rdnn(n1))))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f24714,f1522]) ).

fof(f1522,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(cnf_transformation,[],[f903]) ).

fof(f903,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).

fof(f24714,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_positive_less(X4,X2)
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
      | ~ rdn_translate(n12,rdn_pos(rdn(rdnn(X3),X4)))
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f24634,f1982]) ).

fof(f24634,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(X1,X2)
      | ~ accept_population(countryamedicalorganization,atheist,X0)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(n12,rdn_pos(X1)) ),
    inference(resolution,[],[f24632,f1984]) ).

fof(f24632,plain,
    ! [X0] :
      ( ~ less(n12,X0)
      | ~ accept_population(countryamedicalorganization,atheist,X0) ),
    inference(resolution,[],[f24628,f1986]) ).

fof(f24628,plain,
    ~ accept_population(countryamedicalorganization,atheist,n12),
    inference(resolution,[],[f24627,f1325]) ).

fof(f1325,plain,
    accept_population(countryamedicalorganization,christian,n24),
    inference(cnf_transformation,[],[f492]) ).

fof(f492,axiom,
    accept_population(countryamedicalorganization,christian,n24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_223) ).

fof(f24627,plain,
    ( ~ accept_population(countryamedicalorganization,christian,n24)
    | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f24467,f1536]) ).

fof(f1536,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f640]) ).

fof(f640,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).

fof(f24467,plain,
    ! [X0] :
      ( ~ rdn_translate(n3,rdn_pos(rdnn(X0)))
      | ~ accept_population(countryamedicalorganization,christian,n24)
      | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f5878,f1829]) ).

fof(f1829,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f661]) ).

fof(f661,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).

fof(f5878,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
      | ~ rdn_translate(n3,rdn_pos(rdnn(X2)))
      | ~ accept_population(countryamedicalorganization,christian,X0)
      | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f5772,f1012]) ).

fof(f1012,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f894]) ).

fof(f894,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).

fof(f5772,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero_digit(rdnn(X2))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(X2))))
      | ~ rdn_translate(n3,rdn_pos(rdnn(X3)))
      | ~ accept_population(countryamedicalorganization,christian,X0)
      | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f4716,f1891]) ).

fof(f1891,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f948]) ).

fof(f948,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f926]) ).

fof(f926,plain,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    inference(rectify,[],[f915]) ).

fof(f915,axiom,
    ! [X6] :
      ( rdn_non_zero_digit(rdnn(X6))
     => rdn_non_zero(rdnn(X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).

fof(f4716,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(X2)
      | ~ accept_population(countryamedicalorganization,atheist,n12)
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
      | ~ rdn_translate(n3,rdn_pos(rdnn(X3)))
      | ~ accept_population(countryamedicalorganization,christian,X0) ),
    inference(resolution,[],[f4599,f1974]) ).

fof(f1974,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(cnf_transformation,[],[f950]) ).

fof(f950,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(ennf_transformation,[],[f931]) ).

fof(f931,plain,
    ! [X0,X1,X2] :
      ( rdn_non_zero(X2)
     => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
    inference(rectify,[],[f914]) ).

fof(f914,axiom,
    ! [X14,X11,X12] :
      ( rdn_non_zero(X12)
     => rdn_positive_less(rdnn(X14),rdn(rdnn(X11),X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).

fof(f4599,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(X1,X2)
      | ~ accept_population(countryamedicalorganization,christian,X0)
      | ~ accept_population(countryamedicalorganization,atheist,n12)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(n3,rdn_pos(X1)) ),
    inference(resolution,[],[f4597,f1984]) ).

fof(f4597,plain,
    ! [X0] :
      ( ~ less(n3,X0)
      | ~ accept_population(countryamedicalorganization,atheist,n12)
      | ~ accept_population(countryamedicalorganization,christian,X0) ),
    inference(resolution,[],[f4590,f1986]) ).

fof(f4590,plain,
    ( ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f4584,f1323]) ).

fof(f1323,plain,
    accept_population(countryamedicalorganization,other,n0),
    inference(cnf_transformation,[],[f489]) ).

fof(f489,axiom,
    accept_population(countryamedicalorganization,other,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_220) ).

fof(f4584,plain,
    ( ~ accept_population(countryamedicalorganization,other,n0)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f4583,f1321]) ).

fof(f1321,plain,
    accept_population(countryamedicalorganization,muslim,n1),
    inference(cnf_transformation,[],[f491]) ).

fof(f491,axiom,
    accept_population(countryamedicalorganization,muslim,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_222) ).

fof(f4583,plain,
    ( ~ accept_population(countryamedicalorganization,muslim,n1)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,other,n0)
    | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f4581,f1541]) ).

fof(f1541,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(cnf_transformation,[],[f638]) ).

fof(f638,axiom,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).

fof(f4581,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_pos(rdnn(n1)))
      | ~ accept_population(countryamedicalorganization,muslim,X0)
      | ~ accept_population(countryamedicalorganization,christian,n3)
      | ~ accept_population(countryamedicalorganization,other,n0)
      | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f4346,f1539]) ).

fof(f1539,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f637]) ).

fof(f637,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).

fof(f4346,plain,
    ! [X0] :
      ( ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(n1)))
      | ~ accept_population(countryamedicalorganization,muslim,X0)
      | ~ accept_population(countryamedicalorganization,christian,n3)
      | ~ accept_population(countryamedicalorganization,other,n0)
      | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f2470,f1520]) ).

fof(f1520,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(cnf_transformation,[],[f902]) ).

fof(f902,axiom,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).

fof(f2470,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(X1,X2)
      | ~ accept_population(countryamedicalorganization,atheist,n12)
      | ~ accept_population(countryamedicalorganization,other,n0)
      | ~ accept_population(countryamedicalorganization,muslim,X0)
      | ~ accept_population(countryamedicalorganization,christian,n3)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(n0,rdn_pos(X1)) ),
    inference(resolution,[],[f2440,f1984]) ).

fof(f2440,plain,
    ! [X0] :
      ( ~ less(n0,X0)
      | ~ accept_population(countryamedicalorganization,christian,n3)
      | ~ accept_population(countryamedicalorganization,atheist,n12)
      | ~ accept_population(countryamedicalorganization,other,n0)
      | ~ accept_population(countryamedicalorganization,muslim,X0) ),
    inference(resolution,[],[f2426,f1986]) ).

fof(f2426,plain,
    ( ~ accept_population(countryamedicalorganization,muslim,n0)
    | ~ accept_population(countryamedicalorganization,other,n0)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f2380,f1000]) ).

fof(f1000,plain,
    accept_population(countryamedicalorganization,native,n85),
    inference(cnf_transformation,[],[f925]) ).

fof(f925,plain,
    accept_population(countryamedicalorganization,native,n85),
    inference(flattening,[],[f924]) ).

fof(f924,negated_conjecture,
    ~ ~ accept_population(countryamedicalorganization,native,n85),
    inference(negated_conjecture,[],[f923]) ).

fof(f923,conjecture,
    ~ accept_population(countryamedicalorganization,native,n85),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_10) ).

fof(f2380,plain,
    ( ~ accept_population(countryamedicalorganization,native,n85)
    | ~ accept_population(countryamedicalorganization,other,n0)
    | ~ accept_population(countryamedicalorganization,muslim,n0)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,atheist,n12) ),
    inference(resolution,[],[f1922,f1001]) ).

fof(f1001,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(cnf_transformation,[],[f282]) ).

fof(f282,axiom,
    ~ accept_city(countryamedicalorganization,coastvillage),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_13) ).

fof(f1922,plain,
    ! [X0] :
      ( accept_city(X0,coastvillage)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n85)
      | ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,christian,n3)
      | ~ accept_population(X0,atheist,n12) ),
    inference(cnf_transformation,[],[f981]) ).

fof(f981,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n85)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n3)
          & accept_population(X0,atheist,n12) )
        | ~ accept_city(X0,coastvillage) )
      & ( accept_city(X0,coastvillage)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n85)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n3)
        | ~ accept_population(X0,atheist,n12) ) ),
    inference(flattening,[],[f980]) ).

fof(f980,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n85)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n3)
          & accept_population(X0,atheist,n12) )
        | ~ accept_city(X0,coastvillage) )
      & ( accept_city(X0,coastvillage)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n85)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n3)
        | ~ accept_population(X0,atheist,n12) ) ),
    inference(nnf_transformation,[],[f14]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : AGT010+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 02:29:49 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.36  % (1114)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40  % (1117)WARNING: value z3 for option sas not known
% 0.21/0.40  % (1115)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40  % (1116)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40  % (1118)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40  % (1117)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40  % (1119)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.40  % (1121)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40  % (1120)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.44  TRYING [1]
% 0.21/0.45  TRYING [2]
% 0.21/0.48  TRYING [1]
% 0.21/0.50  TRYING [2]
% 0.21/0.51  TRYING [3]
% 1.44/0.58  TRYING [3]
% 2.08/0.68  TRYING [4]
% 2.81/0.79  TRYING [4]
% 4.64/1.04  TRYING [5]
% 6.08/1.23  % (1120)First to succeed.
% 6.08/1.23  % (1120)Refutation found. Thanks to Tanya!
% 6.08/1.23  % SZS status Theorem for theBenchmark
% 6.08/1.23  % SZS output start Proof for theBenchmark
% See solution above
% 6.08/1.23  % (1120)------------------------------
% 6.08/1.23  % (1120)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.08/1.23  % (1120)Termination reason: Refutation
% 6.08/1.23  
% 6.08/1.23  % (1120)Memory used [KB]: 6637
% 6.08/1.23  % (1120)Time elapsed: 0.833 s
% 6.08/1.23  % (1120)Instructions burned: 3126 (million)
% 6.08/1.23  % (1120)------------------------------
% 6.08/1.23  % (1120)------------------------------
% 6.08/1.23  % (1114)Success in time 0.861 s
%------------------------------------------------------------------------------