TSTP Solution File: AGT023+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : AGT023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 : Wed Aug 30 15:54:36 EDT 2023

% Result   : Theorem 207.88s 28.35s
% Output   : CNFRefutation 207.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  107 (  32 unt;   0 def)
%            Number of atoms       :  318 (   6 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  359 ( 148   ~; 135   |;  60   &)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-4 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-2 aty)
%            Number of variables   :  170 (   7 sgn; 119   !;   3   ?)

% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',a1_3) ).

fof(f5,axiom,
    ! [X0,X3,X1] :
      ( any_agent_in_all_proposed_teams(X0,X3,X1)
     => accept_leader(X0,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',a1_6) ).

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(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/sandbox2/benchmark/theBenchmark.p',a2_12) ).

fof(f28,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_8) ).

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_11) ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_12) ).

fof(f294,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn24) ).

fof(f295,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn25) ).

fof(f527,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).

fof(f539,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).

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

fof(f548,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(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/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f556,conjecture,
    ? [X6] : ~ accept_city(X6,citya),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_23) ).

fof(f557,negated_conjecture,
    ~ ? [X6] : ~ accept_city(X6,citya),
    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(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(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(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] : ~ accept_city(X0,citya),
    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(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(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(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] : accept_city(X0,citya),
    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(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(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(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(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(f699,plain,
    ! [X0] :
      ( accept_population(X0,atheist,n75)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f625]) ).

fof(f700,plain,
    ! [X0] :
      ( accept_population(X0,christian,n25)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f625]) ).

fof(f702,plain,
    ! [X0] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f625]) ).

fof(f703,plain,
    ! [X0] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f625]) ).

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

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

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

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(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] : accept_city(X0,citya),
    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_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_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_113,plain,
    ( ~ accept_city(X0,citya)
    | accept_population(X0,other,n0) ),
    inference(cnf_transformation,[],[f703]) ).

cnf(c_114,plain,
    ( ~ accept_city(X0,citya)
    | accept_population(X0,native,n0) ),
    inference(cnf_transformation,[],[f702]) ).

cnf(c_116,plain,
    ( ~ accept_city(X0,citya)
    | accept_population(X0,christian,n25) ),
    inference(cnf_transformation,[],[f700]) ).

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

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

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_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_643,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f1228]) ).

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

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_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_city(X0,citya),
    inference(cnf_transformation,[],[f1257]) ).

cnf(c_779,plain,
    accept_population(X0,christian,n25),
    inference(global_subsumption_just,[status(thm)],[c_116,c_672,c_116]) ).

cnf(c_817,plain,
    ( ~ accept_population(X0,christian,n24)
    | ~ accept_population(X0,muslim,n1)
    | accept_city(X0,towna) ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_672,c_117,c_114,c_113,c_112]) ).

cnf(c_818,plain,
    ( ~ accept_population(X0,muslim,n1)
    | ~ accept_population(X0,christian,n24)
    | accept_city(X0,towna) ),
    inference(renaming,[status(thm)],[c_817]) ).

cnf(c_2761,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_2762,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(unflattening,[status(thm)],[c_2761]) ).

cnf(c_3041,plain,
    ( X0 != muslimcountrybhumanitarianorganization
    | X1 != countryacivilorganization
    | X2 != towna
    | accept_leader(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_148]) ).

cnf(c_3042,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(unflattening,[status(thm)],[c_3041]) ).

cnf(c_9544,plain,
    ( ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)
    | accept_city(muslimcountrybhumanitarianorganization,cityb) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_14812,plain,
    ( ~ accept_city(muslimcountrybhumanitarianorganization,cityb)
    | accept_population(muslimcountrybhumanitarianorganization,muslim,n1) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_24017,plain,
    ( ~ less(X0,n25)
    | accept_population(X1,christian,X0) ),
    inference(resolution,[status(thm)],[c_54,c_779]) ).

cnf(c_35256,plain,
    ( ~ accept_population(X0,muslim,n1)
    | ~ less(n24,n25)
    | accept_city(X0,towna) ),
    inference(resolution,[status(thm)],[c_24017,c_818]) ).

cnf(c_66980,plain,
    rdn_non_zero(rdnn(n2)),
    inference(superposition,[status(thm)],[c_643,c_664]) ).

cnf(c_184151,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_214023,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_184151]) ).

cnf(c_214024,plain,
    ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
    | ~ rdn_positive_less(rdnn(n4),rdnn(X1))
    | less(n24,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_214023,c_66980]) ).

cnf(c_214464,plain,
    ( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
    | less(n24,n25) ),
    inference(superposition,[status(thm)],[c_411,c_214024]) ).

cnf(c_214473,plain,
    less(n24,n25),
    inference(forward_subsumption_resolution,[status(thm)],[c_214464,c_655]) ).

cnf(c_218345,plain,
    ( ~ accept_population(X0,muslim,n1)
    | accept_city(X0,towna) ),
    inference(global_subsumption_just,[status(thm)],[c_818,c_35256,c_214473]) ).

cnf(c_221451,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(instantiation,[status(thm)],[c_218345]) ).

cnf(c_221452,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_221451,c_14812,c_9544,c_3042,c_2762,c_144]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : AGT023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n028.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sun Aug 27 17:27:24 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 207.88/28.35  % SZS status Started for theBenchmark.p
% 207.88/28.35  % SZS status Theorem for theBenchmark.p
% 207.88/28.35  
% 207.88/28.35  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 207.88/28.35  
% 207.88/28.35  ------  iProver source info
% 207.88/28.35  
% 207.88/28.35  git: date: 2023-05-31 18:12:56 +0000
% 207.88/28.35  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 207.88/28.35  git: non_committed_changes: false
% 207.88/28.35  git: last_make_outside_of_git: false
% 207.88/28.35  
% 207.88/28.35  ------ Parsing...
% 207.88/28.35  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 207.88/28.35  
% 207.88/28.35  ------ 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 
% 207.88/28.35  
% 207.88/28.35  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 207.88/28.35  
% 207.88/28.35  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 207.88/28.35  ------ Proving...
% 207.88/28.35  ------ Problem Properties 
% 207.88/28.35  
% 207.88/28.35  
% 207.88/28.35  clauses                                 602
% 207.88/28.35  conjectures                             1
% 207.88/28.35  EPR                                     319
% 207.88/28.35  Horn                                    601
% 207.88/28.35  unary                                   524
% 207.88/28.35  binary                                  57
% 207.88/28.35  lits                                    729
% 207.88/28.35  lits eq                                 1
% 207.88/28.35  fd_pure                                 0
% 207.88/28.35  fd_pseudo                               0
% 207.88/28.35  fd_cond                                 0
% 207.88/28.35  fd_pseudo_cond                          1
% 207.88/28.35  AC symbols                              0
% 207.88/28.35  
% 207.88/28.35  ------ Input Options Time Limit: Unbounded
% 207.88/28.35  
% 207.88/28.35  
% 207.88/28.35  ------ 
% 207.88/28.35  Current options:
% 207.88/28.35  ------ 
% 207.88/28.35  
% 207.88/28.35  
% 207.88/28.35  
% 207.88/28.35  
% 207.88/28.35  ------ Proving...
% 207.88/28.35  
% 207.88/28.35  
% 207.88/28.35  % SZS status Theorem for theBenchmark.p
% 207.88/28.35  
% 207.88/28.35  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 207.88/28.35  
% 207.88/28.35  
%------------------------------------------------------------------------------