TSTP Solution File: AGT025+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : AGT025+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 02:02:58 EDT 2024

% Result   : Theorem 161.87s 22.26s
% Output   : CNFRefutation 161.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  219 (  64 unt;   0 def)
%            Number of atoms       :  681 (   9 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  790 ( 328   ~; 315   |; 121   &)
%                                         (   8 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-4 aty)
%            Number of functors    :   42 (  42 usr;  39 con; 0-2 aty)
%            Number of variables   :  306 (  22 sgn 176   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( accept_team(X0,X3,X1,X2)
    <=> ( accept_number(X0,X2)
        & accept_leader(X0,X3)
        & accept_city(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_1) ).

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(f4,axiom,
    ! [X0,X3,X1] :
      ( the_agent_in_all_proposed_teams(X0,X3,X1)
     => ( accept_city(X0,X1)
        & accept_leader(X0,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_4) ).

fof(f5,axiom,
    ! [X0,X3,X1] :
      ( any_agent_in_all_proposed_teams(X0,X3,X1)
     => accept_leader(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).

fof(f6,axiom,
    ! [X0,X3,X1] :
      ( the_agent_not_in_any_proposed_teams(X0,X3,X1)
     => ~ ( accept_leader(X0,X3)
          & accept_city(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).

fof(f13,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n2)
        & accept_population(X0,native,n15)
        & accept_population(X0,muslim,n0)
        & accept_population(X0,christian,n13)
        & accept_population(X0,atheist,n70) )
    <=> accept_city(X0,northport) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_6) ).

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) ).

fof(f15,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n0)
        & accept_population(X0,native,n100)
        & accept_population(X0,muslim,n0)
        & accept_population(X0,christian,n0)
        & accept_population(X0,atheist,n0) )
    <=> accept_city(X0,sunsetpoint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_8) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',a2_10) ).

fof(f19,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n1)
        & accept_population(X0,native,n0)
        & accept_population(X0,muslim,n1)
        & accept_population(X0,christian,n20)
        & accept_population(X0,atheist,n78) )
    <=> accept_city(X0,cityb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_12) ).

fof(f20,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n5)
        & accept_population(X0,native,n0)
        & accept_population(X0,muslim,n65)
        & accept_population(X0,christian,n0)
        & accept_population(X0,atheist,n30) )
    <=> accept_city(X0,townc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_13) ).

fof(f28,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_8) ).

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_11) ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_12) ).

fof(f33,axiom,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_13) ).

fof(f124,axiom,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_104) ).

fof(f192,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_172) ).

fof(f270,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).

fof(f294,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).

fof(f295,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).

fof(f345,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).

fof(f348,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).

fof(f527,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).

fof(f532,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).

fof(f539,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).

fof(f540,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).

fof(f541,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).

fof(f542,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).

fof(f544,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/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).

fof(f546,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/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).

fof(f547,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(f548,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(f550,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(f556,conjecture,
    ? [X6,X7] : ~ accept_population(X6,X7,n25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_25) ).

fof(f557,negated_conjecture,
    ~ ? [X6,X7] : ~ accept_population(X6,X7,n25),
    inference(negated_conjecture,[],[f556]) ).

fof(f559,plain,
    ! [X0,X1,X2,X3] :
      ( ( less(X2,X1)
        & accept_population(X0,X3,X1) )
     => accept_population(X0,X3,X2) ),
    inference(rectify,[],[f3]) ).

fof(f560,plain,
    ! [X0,X1,X2] :
      ( the_agent_in_all_proposed_teams(X0,X1,X2)
     => ( accept_city(X0,X2)
        & accept_leader(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f561,plain,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f562,plain,
    ! [X0,X1,X2] :
      ( the_agent_not_in_any_proposed_teams(X0,X1,X2)
     => ~ ( accept_leader(X0,X1)
          & accept_city(X0,X2) ) ),
    inference(rectify,[],[f6]) ).

fof(f564,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,[],[f544]) ).

fof(f566,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,[],[f546]) ).

fof(f567,plain,
    ! [X0,X1,X2] :
      ( rdn_non_zero(X2)
     => rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
    inference(rectify,[],[f547]) ).

fof(f568,plain,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    inference(rectify,[],[f548]) ).

fof(f570,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,[],[f550]) ).

fof(f576,plain,
    ~ ? [X0,X1] : ~ accept_population(X0,X1,n25),
    inference(rectify,[],[f557]) ).

fof(f583,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(ennf_transformation,[],[f559]) ).

fof(f584,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(flattening,[],[f583]) ).

fof(f585,plain,
    ! [X0,X1,X2] :
      ( ( accept_city(X0,X2)
        & accept_leader(X0,X1) )
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f586,plain,
    ! [X0,X1,X2] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f561]) ).

fof(f587,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f562]) ).

fof(f588,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(flattening,[],[f587]) ).

fof(f589,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,[],[f564]) ).

fof(f590,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,[],[f589]) ).

fof(f592,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,[],[f566]) ).

fof(f593,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,[],[f592]) ).

fof(f594,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(ennf_transformation,[],[f567]) ).

fof(f595,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f568]) ).

fof(f597,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,[],[f570]) ).

fof(f598,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,[],[f597]) ).

fof(f603,plain,
    ! [X0,X1] : accept_population(X0,X1,n25),
    inference(ennf_transformation,[],[f576]) ).

fof(f604,plain,
    ! [X0,X1,X2,X3] :
      ( ( accept_team(X0,X3,X1,X2)
        | ~ accept_number(X0,X2)
        | ~ accept_leader(X0,X3)
        | ~ accept_city(X0,X1) )
      & ( ( accept_number(X0,X2)
          & accept_leader(X0,X3)
          & accept_city(X0,X1) )
        | ~ accept_team(X0,X3,X1,X2) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f605,plain,
    ! [X0,X1,X2,X3] :
      ( ( accept_team(X0,X3,X1,X2)
        | ~ accept_number(X0,X2)
        | ~ accept_leader(X0,X3)
        | ~ accept_city(X0,X1) )
      & ( ( accept_number(X0,X2)
          & accept_leader(X0,X3)
          & accept_city(X0,X1) )
        | ~ accept_team(X0,X3,X1,X2) ) ),
    inference(flattening,[],[f604]) ).

fof(f616,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n2)
          & accept_population(X0,native,n15)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n13)
          & accept_population(X0,atheist,n70) )
        | ~ accept_city(X0,northport) )
      & ( accept_city(X0,northport)
        | ~ accept_population(X0,other,n2)
        | ~ accept_population(X0,native,n15)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n13)
        | ~ accept_population(X0,atheist,n70) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f617,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n2)
          & accept_population(X0,native,n15)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n13)
          & accept_population(X0,atheist,n70) )
        | ~ accept_city(X0,northport) )
      & ( accept_city(X0,northport)
        | ~ accept_population(X0,other,n2)
        | ~ accept_population(X0,native,n15)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n13)
        | ~ accept_population(X0,atheist,n70) ) ),
    inference(flattening,[],[f616]) ).

fof(f618,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(f619,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,[],[f618]) ).

fof(f620,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n100)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n0)
          & accept_population(X0,atheist,n0) )
        | ~ accept_city(X0,sunsetpoint) )
      & ( accept_city(X0,sunsetpoint)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n100)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n0)
        | ~ accept_population(X0,atheist,n0) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f621,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n100)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n0)
          & accept_population(X0,atheist,n0) )
        | ~ accept_city(X0,sunsetpoint) )
      & ( accept_city(X0,sunsetpoint)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n100)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n0)
        | ~ accept_population(X0,atheist,n0) ) ),
    inference(flattening,[],[f620]) ).

fof(f622,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(f623,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,[],[f622]) ).

fof(f624,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(f625,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,[],[f624]) ).

fof(f628,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n1)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,christian,n20)
          & accept_population(X0,atheist,n78) )
        | ~ accept_city(X0,cityb) )
      & ( accept_city(X0,cityb)
        | ~ accept_population(X0,other,n1)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,christian,n20)
        | ~ accept_population(X0,atheist,n78) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f629,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n1)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,christian,n20)
          & accept_population(X0,atheist,n78) )
        | ~ accept_city(X0,cityb) )
      & ( accept_city(X0,cityb)
        | ~ accept_population(X0,other,n1)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,christian,n20)
        | ~ accept_population(X0,atheist,n78) ) ),
    inference(flattening,[],[f628]) ).

fof(f630,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n5)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n65)
          & accept_population(X0,christian,n0)
          & accept_population(X0,atheist,n30) )
        | ~ accept_city(X0,townc) )
      & ( accept_city(X0,townc)
        | ~ accept_population(X0,other,n5)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n65)
        | ~ accept_population(X0,christian,n0)
        | ~ accept_population(X0,atheist,n30) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f631,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n5)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n65)
          & accept_population(X0,christian,n0)
          & accept_population(X0,atheist,n30) )
        | ~ accept_city(X0,townc) )
      & ( accept_city(X0,townc)
        | ~ accept_population(X0,other,n5)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n65)
        | ~ accept_population(X0,christian,n0)
        | ~ accept_population(X0,atheist,n30) ) ),
    inference(flattening,[],[f630]) ).

fof(f634,plain,
    ! [X2,X3,X0,X1] :
      ( accept_city(X0,X1)
      | ~ accept_team(X0,X3,X1,X2) ),
    inference(cnf_transformation,[],[f605]) ).

fof(f639,plain,
    ! [X2,X3,X0,X1] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f641,plain,
    ! [X2,X0,X1] :
      ( accept_city(X0,X2)
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f585]) ).

fof(f642,plain,
    ! [X2,X0,X1] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f643,plain,
    ! [X2,X0,X1] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f588]) ).

fof(f677,plain,
    ! [X0] :
      ( accept_population(X0,muslim,n0)
      | ~ accept_city(X0,northport) ),
    inference(cnf_transformation,[],[f617]) ).

fof(f685,plain,
    ! [X0] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,coastvillage) ),
    inference(cnf_transformation,[],[f619]) ).

fof(f689,plain,
    ! [X0] :
      ( accept_population(X0,muslim,n0)
      | ~ accept_city(X0,sunsetpoint) ),
    inference(cnf_transformation,[],[f621]) ).

fof(f691,plain,
    ! [X0] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,sunsetpoint) ),
    inference(cnf_transformation,[],[f621]) ).

fof(f692,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,[],[f623]) ).

fof(f698,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,[],[f625]) ).

fof(f699,plain,
    ! [X0] :
      ( accept_population(X0,atheist,n75)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f625]) ).

fof(f711,plain,
    ! [X0] :
      ( accept_population(X0,atheist,n78)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f629]) ).

fof(f713,plain,
    ! [X0] :
      ( accept_population(X0,muslim,n1)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f629]) ).

fof(f720,plain,
    ! [X0] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,townc) ),
    inference(cnf_transformation,[],[f631]) ).

fof(f729,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    inference(cnf_transformation,[],[f28]) ).

fof(f732,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f31]) ).

fof(f733,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f32]) ).

fof(f734,plain,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
    inference(cnf_transformation,[],[f33]) ).

fof(f825,plain,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    inference(cnf_transformation,[],[f124]) ).

fof(f893,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    inference(cnf_transformation,[],[f192]) ).

fof(f971,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f270]) ).

fof(f995,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f294]) ).

fof(f996,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(cnf_transformation,[],[f295]) ).

fof(f1046,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f345]) ).

fof(f1049,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f348]) ).

fof(f1228,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f527]) ).

fof(f1233,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f532]) ).

fof(f1240,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f539]) ).

fof(f1241,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f540]) ).

fof(f1242,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f541]) ).

fof(f1243,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f542]) ).

fof(f1245,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,[],[f590]) ).

fof(f1247,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,[],[f593]) ).

fof(f1248,plain,
    ! [X2,X0,X1] :
      ( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2) ),
    inference(cnf_transformation,[],[f594]) ).

fof(f1249,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f595]) ).

fof(f1251,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,[],[f598]) ).

fof(f1257,plain,
    ! [X0,X1] : accept_population(X0,X1,n25),
    inference(cnf_transformation,[],[f603]) ).

cnf(c_52,plain,
    ( ~ accept_team(X0,X1,X2,X3)
    | accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f634]) ).

cnf(c_54,plain,
    ( ~ accept_population(X0,X1,X2)
    | ~ less(X3,X2)
    | accept_population(X0,X1,X3) ),
    inference(cnf_transformation,[],[f639]) ).

cnf(c_55,plain,
    ( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
    | accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f641]) ).

cnf(c_57,plain,
    ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
    | accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f642]) ).

cnf(c_58,plain,
    ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
    | ~ accept_leader(X0,X1)
    | ~ accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f643]) ).

cnf(c_91,plain,
    ( ~ accept_city(X0,northport)
    | accept_population(X0,muslim,n0) ),
    inference(cnf_transformation,[],[f677]) ).

cnf(c_95,plain,
    ( ~ accept_city(X0,coastvillage)
    | accept_population(X0,other,n0) ),
    inference(cnf_transformation,[],[f685]) ).

cnf(c_101,plain,
    ( ~ accept_city(X0,sunsetpoint)
    | accept_population(X0,other,n0) ),
    inference(cnf_transformation,[],[f691]) ).

cnf(c_103,plain,
    ( ~ accept_city(X0,sunsetpoint)
    | accept_population(X0,muslim,n0) ),
    inference(cnf_transformation,[],[f689]) ).

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,[],[f692]) ).

cnf(c_117,plain,
    ( ~ accept_city(X0,citya)
    | accept_population(X0,atheist,n75) ),
    inference(cnf_transformation,[],[f699]) ).

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,[],[f698]) ).

cnf(c_127,plain,
    ( ~ accept_city(X0,cityb)
    | accept_population(X0,muslim,n1) ),
    inference(cnf_transformation,[],[f713]) ).

cnf(c_129,plain,
    ( ~ accept_city(X0,cityb)
    | accept_population(X0,atheist,n78) ),
    inference(cnf_transformation,[],[f711]) ).

cnf(c_132,plain,
    ( ~ accept_city(X0,townc)
    | accept_population(X0,native,n0) ),
    inference(cnf_transformation,[],[f720]) ).

cnf(c_144,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    inference(cnf_transformation,[],[f729]) ).

cnf(c_147,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f732]) ).

cnf(c_148,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f733]) ).

cnf(c_149,plain,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5),
    inference(cnf_transformation,[],[f734]) ).

cnf(c_240,plain,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    inference(cnf_transformation,[],[f825]) ).

cnf(c_308,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    inference(cnf_transformation,[],[f893]) ).

cnf(c_386,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f971]) ).

cnf(c_410,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f995]) ).

cnf(c_411,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(cnf_transformation,[],[f996]) ).

cnf(c_461,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f1046]) ).

cnf(c_464,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f1049]) ).

cnf(c_643,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f1228]) ).

cnf(c_648,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f1233]) ).

cnf(c_655,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f1240]) ).

cnf(c_656,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f1241]) ).

cnf(c_657,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f1242]) ).

cnf(c_658,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f1243]) ).

cnf(c_660,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,[],[f1245]) ).

cnf(c_662,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,[],[f1247]) ).

cnf(c_663,plain,
    ( ~ rdn_non_zero(X0)
    | rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)) ),
    inference(cnf_transformation,[],[f1248]) ).

cnf(c_664,plain,
    ( ~ rdn_non_zero_digit(rdnn(X0))
    | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f1249]) ).

cnf(c_666,plain,
    ( ~ rdn_translate(X0,rdn_pos(X1))
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_positive_less(X1,X3)
    | less(X0,X2) ),
    inference(cnf_transformation,[],[f1251]) ).

cnf(c_672,negated_conjecture,
    accept_population(X0,X1,n25),
    inference(cnf_transformation,[],[f1257]) ).

cnf(c_782,plain,
    ( accept_leader(X0,X1)
    | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

cnf(c_783,plain,
    ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
    | accept_leader(X0,X1) ),
    inference(renaming,[status(thm)],[c_782]) ).

cnf(c_786,plain,
    ( accept_city(X0,X2)
    | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_55]) ).

cnf(c_787,plain,
    ( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
    | accept_city(X0,X2) ),
    inference(renaming,[status(thm)],[c_786]) ).

cnf(c_1290,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_672]) ).

cnf(c_2664,plain,
    ( X0 != muslimcountrybhumanitarianorganization
    | X1 != countryacivilorganization
    | X2 != towna
    | ~ accept_leader(X0,X1)
    | ~ accept_city(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_147]) ).

cnf(c_2665,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(unflattening,[status(thm)],[c_2664]) ).

cnf(c_2944,plain,
    ( X0 != muslimcountrybhumanitarianorganization
    | X1 != countryacivilorganization
    | X2 != towna
    | accept_leader(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_783,c_148]) ).

cnf(c_2945,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(unflattening,[status(thm)],[c_2944]) ).

cnf(c_3201,plain,
    ( X0 != muslimcountrybhumanitarianorganization
    | X1 != countryahumanitarianorganization
    | X2 != townc
    | accept_city(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_787,c_240]) ).

cnf(c_3202,plain,
    accept_city(muslimcountrybhumanitarianorganization,townc),
    inference(unflattening,[status(thm)],[c_3201]) ).

cnf(c_10111,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,townc)
    | accept_population(muslimcountrybhumanitarianorganization,native,n0) ),
    inference(instantiation,[status(thm)],[c_132]) ).

cnf(c_10526,plain,
    ( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)
    | accept_city(muslimcountrybhumanitarianorganization,cityb) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_10527,plain,
    ( ~ accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n5)
    | accept_city(muslimcountrybhumanitarianorganization,coastvillage) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_10645,plain,
    ( ~ rdn_positive_less(rdnn(X0),rdnn(n6))
    | ~ rdn_positive_less(rdnn(n6),rdnn(n7))
    | rdn_positive_less(rdnn(X0),rdnn(n7)) ),
    inference(instantiation,[status(thm)],[c_660]) ).

cnf(c_11001,plain,
    rdn_non_zero(rdnn(n2)),
    inference(superposition,[status(thm)],[c_643,c_664]) ).

cnf(c_11006,plain,
    rdn_non_zero(rdnn(n7)),
    inference(superposition,[status(thm)],[c_648,c_664]) ).

cnf(c_11081,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ accept_city(X0,sunsetpoint)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_103,c_1290]) ).

cnf(c_11085,plain,
    ( ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ accept_city(X0,sunsetpoint)
    | accept_city(X0,citya) ),
    inference(global_subsumption_just,[status(thm)],[c_11081,c_103,c_101,c_1290]) ).

cnf(c_15869,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
    | accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_15880,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,coastvillage)
    | accept_population(muslimcountrybhumanitarianorganization,other,n0) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_16719,plain,
    ( ~ rdn_positive_less(rdnn(n5),rdnn(n6))
    | ~ rdn_positive_less(rdnn(n6),rdnn(n7))
    | rdn_positive_less(rdnn(n5),rdnn(n7)) ),
    inference(instantiation,[status(thm)],[c_10645]) ).

cnf(c_21018,plain,
    ( ~ less(X0,n25)
    | accept_population(X1,X2,X0) ),
    inference(superposition,[status(thm)],[c_672,c_54]) ).

cnf(c_22525,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ less(n0,n25)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_21018,c_1290]) ).

cnf(c_24097,plain,
    ( ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ less(n0,n25)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_21018,c_22525]) ).

cnf(c_26881,plain,
    ( ~ less(X0,n25)
    | accept_population(X1,X2,X0) ),
    inference(superposition,[status(thm)],[c_672,c_54]) ).

cnf(c_27391,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ less(n0,n25)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_26881,c_1290]) ).

cnf(c_29207,plain,
    ( ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ less(n0,n25)
    | accept_city(X0,citya) ),
    inference(global_subsumption_just,[status(thm)],[c_27391,c_24097]) ).

cnf(c_29214,plain,
    ( ~ accept_population(X0,atheist,n75)
    | ~ less(n0,n25)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_26881,c_29207]) ).

cnf(c_58992,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ accept_city(X0,northport)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_91,c_1290]) ).

cnf(c_58999,plain,
    ( ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ accept_city(X0,northport)
    | ~ accept_city(X0,sunsetpoint)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_101,c_58992]) ).

cnf(c_59000,plain,
    ( ~ accept_population(X0,atheist,n75)
    | ~ accept_population(X0,native,n0)
    | ~ accept_city(X0,sunsetpoint)
    | accept_city(X0,citya) ),
    inference(global_subsumption_just,[status(thm)],[c_58999,c_11085]) ).

cnf(c_59001,plain,
    ( ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,atheist,n75)
    | ~ accept_city(X0,sunsetpoint)
    | accept_city(X0,citya) ),
    inference(renaming,[status(thm)],[c_59000]) ).

cnf(c_59625,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(superposition,[status(thm)],[c_308,c_52]) ).

cnf(c_59780,plain,
    ( ~ rdn_positive_less(rdnn(X0),rdnn(n7))
    | ~ rdn_positive_less(rdnn(n7),rdnn(n8))
    | rdn_positive_less(rdnn(X0),rdnn(n8)) ),
    inference(instantiation,[status(thm)],[c_660]) ).

cnf(c_60185,plain,
    ( ~ accept_city(X0,cityb)
    | ~ less(X1,n78)
    | accept_population(X0,atheist,X1) ),
    inference(superposition,[status(thm)],[c_129,c_54]) ).

cnf(c_60188,plain,
    ( ~ less(X0,n25)
    | accept_population(X1,X2,X0) ),
    inference(superposition,[status(thm)],[c_672,c_54]) ).

cnf(c_61107,plain,
    ( ~ accept_population(X0,atheist,n75)
    | ~ accept_city(X0,sunsetpoint)
    | ~ less(n0,n25)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_60188,c_59001]) ).

cnf(c_61323,plain,
    ( ~ rdn_translate(X0,rdn_pos(X1))
    | ~ rdn_positive_less(rdnn(n0),X1)
    | less(n0,X0) ),
    inference(superposition,[status(thm)],[c_386,c_666]) ).

cnf(c_61347,plain,
    ( ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),X0)
    | ~ rdn_translate(X1,rdn_pos(X0))
    | less(n24,X1) ),
    inference(superposition,[status(thm)],[c_410,c_666]) ).

cnf(c_61398,plain,
    ( ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0)
    | ~ rdn_translate(X1,rdn_pos(X0))
    | less(n75,X1) ),
    inference(superposition,[status(thm)],[c_461,c_666]) ).

cnf(c_62780,plain,
    ( ~ accept_population(X0,atheist,n75)
    | ~ less(n0,n25)
    | accept_city(X0,citya) ),
    inference(global_subsumption_just,[status(thm)],[c_61107,c_29214]) ).

cnf(c_90726,plain,
    ( ~ rdn_positive_less(rdnn(n7),rdnn(n8))
    | ~ rdn_positive_less(rdnn(n5),rdnn(n7))
    | rdn_positive_less(rdnn(n5),rdnn(n8)) ),
    inference(instantiation,[status(thm)],[c_59780]) ).

cnf(c_102235,plain,
    ( ~ accept_city(X0,cityb)
    | ~ less(n0,n25)
    | ~ less(n75,n78)
    | accept_city(X0,citya) ),
    inference(superposition,[status(thm)],[c_60185,c_62780]) ).

cnf(c_103395,plain,
    ( ~ less(n0,n25)
    | ~ less(n75,n78)
    | accept_city(muslimcountrybhumanitarianorganization,citya) ),
    inference(superposition,[status(thm)],[c_59625,c_102235]) ).

cnf(c_103939,plain,
    ( ~ rdn_positive_less(rdnn(n0),rdn(rdnn(n5),rdnn(n2)))
    | less(n0,n25) ),
    inference(superposition,[status(thm)],[c_411,c_61323]) ).

cnf(c_114557,plain,
    ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
    | ~ rdn_positive_less(rdnn(n4),rdnn(X1))
    | ~ rdn_non_zero(rdnn(n2))
    | less(n24,X0) ),
    inference(superposition,[status(thm)],[c_662,c_61347]) ).

cnf(c_120491,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_662,c_61398]) ).

cnf(c_125874,plain,
    ( ~ accept_population(X0,X1,n25)
    | ~ less(X2,n25)
    | accept_population(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_126596,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_129323,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25)
    | ~ less(n24,n25)
    | accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
    inference(instantiation,[status(thm)],[c_125874]) ).

cnf(c_132549,plain,
    accept_population(muslimcountrybhumanitarianorganization,christian,n25),
    inference(instantiation,[status(thm)],[c_672]) ).

cnf(c_133097,plain,
    ( ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),X0)
    | ~ rdn_translate(X1,rdn_pos(X0))
    | less(n24,X1) ),
    inference(superposition,[status(thm)],[c_410,c_666]) ).

cnf(c_133148,plain,
    ( ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0)
    | ~ rdn_translate(X1,rdn_pos(X0))
    | less(n75,X1) ),
    inference(superposition,[status(thm)],[c_461,c_666]) ).

cnf(c_137898,plain,
    ( ~ rdn_non_zero(rdnn(X0))
    | rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(X0))) ),
    inference(instantiation,[status(thm)],[c_663]) ).

cnf(c_142330,plain,
    ( ~ rdn_non_zero(rdnn(n2))
    | rdn_positive_less(rdnn(n0),rdn(rdnn(n5),rdnn(n2))) ),
    inference(instantiation,[status(thm)],[c_137898]) ).

cnf(c_214778,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,citya)
    | accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_217918,plain,
    ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
    | ~ rdn_positive_less(rdnn(n4),rdnn(X1))
    | ~ rdn_non_zero(rdnn(n2))
    | less(n24,X0) ),
    inference(superposition,[status(thm)],[c_662,c_133097]) ).

cnf(c_218285,plain,
    ( ~ rdn_positive_less(rdnn(n4),rdnn(X1))
    | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
    | less(n24,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217918,c_11001,c_114557]) ).

cnf(c_218286,plain,
    ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
    | ~ rdn_positive_less(rdnn(n4),rdnn(X1))
    | less(n24,X0) ),
    inference(renaming,[status(thm)],[c_218285]) ).

cnf(c_218293,plain,
    ( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
    | less(n24,n25) ),
    inference(superposition,[status(thm)],[c_411,c_218286]) ).

cnf(c_239004,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_662,c_133148]) ).

cnf(c_239477,plain,
    ( ~ rdn_positive_less(rdnn(n5),rdnn(X1))
    | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
    | less(n75,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_239004,c_11006,c_120491]) ).

cnf(c_239478,plain,
    ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7))))
    | ~ rdn_positive_less(rdnn(n5),rdnn(X1))
    | less(n75,X0) ),
    inference(renaming,[status(thm)],[c_239477]) ).

cnf(c_239488,plain,
    ( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
    | less(n75,n78) ),
    inference(superposition,[status(thm)],[c_464,c_239478]) ).

cnf(c_239490,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_239488,c_218293,c_214778,c_142330,c_132549,c_129323,c_126596,c_103939,c_103395,c_90726,c_16719,c_15880,c_15869,c_11001,c_10527,c_10526,c_10111,c_3202,c_2945,c_2665,c_144,c_149,c_655,c_656,c_657,c_658]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : AGT025+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:37:51 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 161.87/22.26  % SZS status Started for theBenchmark.p
% 161.87/22.26  % SZS status Theorem for theBenchmark.p
% 161.87/22.26  
% 161.87/22.26  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 161.87/22.26  
% 161.87/22.26  ------  iProver source info
% 161.87/22.26  
% 161.87/22.26  git: date: 2024-05-02 19:28:25 +0000
% 161.87/22.26  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 161.87/22.26  git: non_committed_changes: false
% 161.87/22.26  
% 161.87/22.26  ------ Parsing...
% 161.87/22.26  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 161.87/22.26  
% 161.87/22.26  ------ 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 
% 161.87/22.26  
% 161.87/22.26  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 161.87/22.26  
% 161.87/22.26  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 161.87/22.26  ------ Proving...
% 161.87/22.26  ------ Problem Properties 
% 161.87/22.26  
% 161.87/22.26  
% 161.87/22.26  clauses                                 613
% 161.87/22.26  conjectures                             1
% 161.87/22.26  EPR                                     330
% 161.87/22.26  Horn                                    612
% 161.87/22.26  unary                                   519
% 161.87/22.26  binary                                  72
% 161.87/22.26  lits                                    770
% 161.87/22.26  lits eq                                 1
% 161.87/22.26  fd_pure                                 0
% 161.87/22.26  fd_pseudo                               0
% 161.87/22.26  fd_cond                                 0
% 161.87/22.26  fd_pseudo_cond                          1
% 161.87/22.26  AC symbols                              0
% 161.87/22.26  
% 161.87/22.26  ------ Input Options Time Limit: Unbounded
% 161.87/22.26  
% 161.87/22.26  
% 161.87/22.26  ------ 
% 161.87/22.26  Current options:
% 161.87/22.26  ------ 
% 161.87/22.26  
% 161.87/22.26  
% 161.87/22.26  
% 161.87/22.26  
% 161.87/22.26  ------ Proving...
% 161.87/22.26  
% 161.87/22.26  
% 161.87/22.26  % SZS status Theorem for theBenchmark.p
% 161.87/22.26  
% 161.87/22.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 161.87/22.27  
% 161.87/22.27  
%------------------------------------------------------------------------------