TSTP Solution File: AGT020+2 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : AGT020+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 : Fri May  3 02:02:57 EDT 2024

% Result   : Theorem 210.73s 28.27s
% Output   : CNFRefutation 210.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  100 (  49 unt;   0 def)
%            Number of atoms       :  259 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  279 ( 120   ~; 109   |;  38   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   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   :  122 (   2 sgn  86   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X2,X4,X5] :
      ( ( less(X4,X2)
        & accept_population(X0,X5,X2) )
     => accept_population(X0,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_3) ).

fof(f16,axiom,
    ! [X0] :
      ( ( 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) )
    <=> accept_city(X0,towna) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_9) ).

fof(f17,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n0)
        & accept_population(X0,native,n0)
        & accept_population(X0,muslim,n0)
        & accept_population(X0,christian,n25)
        & accept_population(X0,atheist,n75) )
    <=> accept_city(X0,citya) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_10) ).

fof(f362,axiom,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_93) ).

fof(f364,axiom,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_95) ).

fof(f472,axiom,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_203) ).

fof(f473,axiom,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_204) ).

fof(f475,axiom,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_206) ).

fof(f635,axiom,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_366) ).

fof(f712,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn75) ).

fof(f715,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn78) ).

fof(f899,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit7) ).

fof(f907,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56) ).

fof(f908,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67) ).

fof(f909,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less78) ).

fof(f911,axiom,
    ! [X6,X7,X8] :
      ( ( rdn_positive_less(rdnn(X7),rdnn(X8))
        & rdn_positive_less(rdnn(X6),rdnn(X7)) )
     => rdn_positive_less(rdnn(X6),rdnn(X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).

fof(f913,axiom,
    ! [X9,X13,X11] :
      ( ( rdn_non_zero(X13)
        & rdn_positive_less(rdnn(X9),rdnn(X11)) )
     => rdn_positive_less(rdn(rdnn(X9),X13),rdn(rdnn(X11),X13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).

fof(f915,axiom,
    ! [X6] :
      ( rdn_non_zero_digit(rdnn(X6))
     => rdn_non_zero(rdnn(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).

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/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f923,conjecture,
    ? [X6,X7] : ~ accept_population(X6,christian,X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_20) ).

fof(f924,negated_conjecture,
    ~ ? [X6,X7] : ~ accept_population(X6,christian,X7),
    inference(negated_conjecture,[],[f923]) ).

fof(f926,plain,
    ! [X0,X1,X2,X3] :
      ( ( less(X2,X1)
        & accept_population(X0,X3,X1) )
     => accept_population(X0,X3,X2) ),
    inference(rectify,[],[f3]) ).

fof(f931,plain,
    ! [X0,X1,X2] :
      ( ( rdn_positive_less(rdnn(X1),rdnn(X2))
        & rdn_positive_less(rdnn(X0),rdnn(X1)) )
     => rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(rectify,[],[f911]) ).

fof(f933,plain,
    ! [X0,X1,X2] :
      ( ( rdn_non_zero(X1)
        & rdn_positive_less(rdnn(X0),rdnn(X2)) )
     => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
    inference(rectify,[],[f913]) ).

fof(f935,plain,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    inference(rectify,[],[f915]) ).

fof(f937,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(f943,plain,
    ~ ? [X0,X1] : ~ accept_population(X0,christian,X1),
    inference(rectify,[],[f924]) ).

fof(f950,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(ennf_transformation,[],[f926]) ).

fof(f951,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(flattening,[],[f950]) ).

fof(f956,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(ennf_transformation,[],[f931]) ).

fof(f957,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(flattening,[],[f956]) ).

fof(f959,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_non_zero(X1)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(ennf_transformation,[],[f933]) ).

fof(f960,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_non_zero(X1)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(flattening,[],[f959]) ).

fof(f962,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f935]) ).

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,[],[f937]) ).

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(f970,plain,
    ! [X0,X1] : accept_population(X0,christian,X1),
    inference(ennf_transformation,[],[f943]) ).

fof(f989,plain,
    ! [X0] :
      ( ( ( 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) )
        | ~ accept_city(X0,towna) )
      & ( 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(nnf_transformation,[],[f16]) ).

fof(f990,plain,
    ! [X0] :
      ( ( ( 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) )
        | ~ accept_city(X0,towna) )
      & ( 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(flattening,[],[f989]) ).

fof(f991,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n25)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,citya) )
      & ( accept_city(X0,citya)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n25)
        | ~ accept_population(X0,atheist,n75) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f992,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n25)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,citya) )
      & ( accept_city(X0,citya)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n25)
        | ~ accept_population(X0,atheist,n75) ) ),
    inference(flattening,[],[f991]) ).

fof(f1006,plain,
    ! [X2,X3,X0,X1] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(cnf_transformation,[],[f951]) ).

fof(f1059,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,[],[f990]) ).

fof(f1065,plain,
    ! [X0] :
      ( accept_city(X0,citya)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,christian,n25)
      | ~ accept_population(X0,atheist,n75) ),
    inference(cnf_transformation,[],[f992]) ).

fof(f1430,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(cnf_transformation,[],[f362]) ).

fof(f1432,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n0),
    inference(cnf_transformation,[],[f364]) ).

fof(f1540,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(cnf_transformation,[],[f472]) ).

fof(f1541,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(cnf_transformation,[],[f473]) ).

fof(f1543,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    inference(cnf_transformation,[],[f475]) ).

fof(f1703,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cnf_transformation,[],[f635]) ).

fof(f1780,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f712]) ).

fof(f1783,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f715]) ).

fof(f1967,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f899]) ).

fof(f1975,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f907]) ).

fof(f1976,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f908]) ).

fof(f1977,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f909]) ).

fof(f1979,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(cnf_transformation,[],[f957]) ).

fof(f1981,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_non_zero(X1)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(cnf_transformation,[],[f960]) ).

fof(f1983,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f962]) ).

fof(f1985,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(f1991,plain,
    ! [X0,X1] : accept_population(X0,christian,X1),
    inference(cnf_transformation,[],[f970]) ).

cnf(c_54,plain,
    ( ~ accept_population(X0,X1,X2)
    | ~ less(X3,X2)
    | accept_population(X0,X1,X3) ),
    inference(cnf_transformation,[],[f1006]) ).

cnf(c_112,plain,
    ( ~ 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)
    | accept_city(X0,towna) ),
    inference(cnf_transformation,[],[f1059]) ).

cnf(c_118,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,muslim,n0)
    | ~ accept_population(X0,christian,n25)
    | ~ accept_population(X0,atheist,n75)
    | accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f1065]) ).

cnf(c_478,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(cnf_transformation,[],[f1430]) ).

cnf(c_480,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n0),
    inference(cnf_transformation,[],[f1432]) ).

cnf(c_588,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(cnf_transformation,[],[f1540]) ).

cnf(c_589,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(cnf_transformation,[],[f1541]) ).

cnf(c_591,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    inference(cnf_transformation,[],[f1543]) ).

cnf(c_751,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cnf_transformation,[],[f1703]) ).

cnf(c_828,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f1780]) ).

cnf(c_831,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f1783]) ).

cnf(c_1015,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f1967]) ).

cnf(c_1023,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f1975]) ).

cnf(c_1024,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f1976]) ).

cnf(c_1025,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f1977]) ).

cnf(c_1027,plain,
    ( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(cnf_transformation,[],[f1979]) ).

cnf(c_1029,plain,
    ( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
    | ~ rdn_non_zero(X2)
    | rdn_positive_less(rdn(rdnn(X0),X2),rdn(rdnn(X1),X2)) ),
    inference(cnf_transformation,[],[f1981]) ).

cnf(c_1031,plain,
    ( ~ rdn_non_zero_digit(rdnn(X0))
    | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f1983]) ).

cnf(c_1033,plain,
    ( ~ rdn_translate(X0,rdn_pos(X1))
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_positive_less(X1,X3)
    | less(X0,X2) ),
    inference(cnf_transformation,[],[f1985]) ).

cnf(c_1039,negated_conjecture,
    accept_population(X0,christian,X1),
    inference(cnf_transformation,[],[f1991]) ).

cnf(c_1933,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,muslim,n1)
    | ~ accept_population(X0,atheist,n75)
    | accept_city(X0,towna) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_112,c_1039]) ).

cnf(c_1936,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,muslim,n0)
    | ~ accept_population(X0,atheist,n75)
    | accept_city(X0,citya) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_118,c_1039]) ).

cnf(c_15992,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(superposition,[status(thm)],[c_589,c_1933]) ).

cnf(c_15993,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(forward_subsumption_resolution,[status(thm)],[c_15992,c_751,c_588,c_478]) ).

cnf(c_29109,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,citya) ),
    inference(superposition,[status(thm)],[c_480,c_1936]) ).

cnf(c_29111,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,citya) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_29109,c_588,c_478]) ).

cnf(c_29118,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(global_subsumption_just,[status(thm)],[c_29111,c_15993]) ).

cnf(c_31459,plain,
    ( ~ less(X0,n78)
    | accept_population(muslimcountrybhumanitarianorganization,atheist,X0) ),
    inference(superposition,[status(thm)],[c_591,c_54]) ).

cnf(c_40396,plain,
    ~ less(n75,n78),
    inference(superposition,[status(thm)],[c_31459,c_29118]) ).

cnf(c_472659,plain,
    rdn_non_zero(rdnn(n7)),
    inference(superposition,[status(thm)],[c_1015,c_1031]) ).

cnf(c_473458,plain,
    ( ~ rdn_positive_less(rdnn(n6),rdnn(X0))
    | rdn_positive_less(rdnn(n5),rdnn(X0)) ),
    inference(superposition,[status(thm)],[c_1023,c_1027]) ).

cnf(c_473459,plain,
    ( ~ rdn_positive_less(rdnn(n7),rdnn(X0))
    | rdn_positive_less(rdnn(n6),rdnn(X0)) ),
    inference(superposition,[status(thm)],[c_1024,c_1027]) ).

cnf(c_473951,plain,
    rdn_positive_less(rdnn(n6),rdnn(n8)),
    inference(superposition,[status(thm)],[c_1025,c_473459]) ).

cnf(c_473997,plain,
    rdn_positive_less(rdnn(n5),rdnn(n8)),
    inference(superposition,[status(thm)],[c_473951,c_473458]) ).

cnf(c_474754,plain,
    ( ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0)
    | ~ rdn_translate(X1,rdn_pos(X0))
    | less(n75,X1) ),
    inference(superposition,[status(thm)],[c_828,c_1033]) ).

cnf(c_538059,plain,
    ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
    | ~ rdn_positive_less(rdnn(n5),rdnn(X1))
    | ~ rdn_non_zero(rdnn(n7))
    | less(n75,X0) ),
    inference(superposition,[status(thm)],[c_1029,c_474754]) ).

cnf(c_538060,plain,
    ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
    | ~ rdn_positive_less(rdnn(n5),rdnn(X1))
    | less(n75,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_538059,c_472659]) ).

cnf(c_538307,plain,
    ( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
    | less(n75,n78) ),
    inference(superposition,[status(thm)],[c_831,c_538060]) ).

cnf(c_538310,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_538307,c_40396,c_473997]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : AGT020+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 22:25:57 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 210.73/28.27  % SZS status Started for theBenchmark.p
% 210.73/28.27  % SZS status Theorem for theBenchmark.p
% 210.73/28.27  
% 210.73/28.27  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 210.73/28.27  
% 210.73/28.27  ------  iProver source info
% 210.73/28.27  
% 210.73/28.27  git: date: 2024-05-02 19:28:25 +0000
% 210.73/28.27  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 210.73/28.27  git: non_committed_changes: false
% 210.73/28.27  
% 210.73/28.27  ------ Parsing...
% 210.73/28.27  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 210.73/28.27  
% 210.73/28.27  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 210.73/28.27  
% 210.73/28.27  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 210.73/28.27  
% 210.73/28.27  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 210.73/28.27  ------ Proving...
% 210.73/28.27  ------ Problem Properties 
% 210.73/28.27  
% 210.73/28.27  
% 210.73/28.27  clauses                                 834
% 210.73/28.27  conjectures                             1
% 210.73/28.27  EPR                                     551
% 210.73/28.27  Horn                                    833
% 210.73/28.27  unary                                   752
% 210.73/28.27  binary                                  60
% 210.73/28.27  lits                                    967
% 210.73/28.27  lits eq                                 1
% 210.73/28.27  fd_pure                                 0
% 210.73/28.27  fd_pseudo                               0
% 210.73/28.27  fd_cond                                 0
% 210.73/28.27  fd_pseudo_cond                          1
% 210.73/28.27  AC symbols                              0
% 210.73/28.27  
% 210.73/28.27  ------ Input Options Time Limit: Unbounded
% 210.73/28.27  
% 210.73/28.27  
% 210.73/28.27  ------ 
% 210.73/28.27  Current options:
% 210.73/28.27  ------ 
% 210.73/28.27  
% 210.73/28.27  
% 210.73/28.27  
% 210.73/28.27  
% 210.73/28.27  ------ Proving...
% 210.73/28.27  
% 210.73/28.27  
% 210.73/28.27  % SZS status Theorem for theBenchmark.p
% 210.73/28.27  
% 210.73/28.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 210.73/28.27  
% 210.73/28.28  
%------------------------------------------------------------------------------