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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : AGT020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 12:50:58 PM UTC 2026

% Result   : Theorem 138.86s 22.05s
% Output   : CNFRefutation 138.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  190 (  71 unt;   0 def)
%            Number of atoms       :  528 (   6 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  606 ( 268   ~; 256   |;  70   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-4 aty)
%            Number of functors    :   31 (  31 usr;  28 con; 0-2 aty)
%            Number of variables   :  221 (   0 sgn 217   !;   4   ?;  93   :)

% 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/Axioms/AGT001+0.ax',a1_1) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( less(X2,X1)
        & accept_population(X0,X3,X1) )
     => accept_population(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( the_agent_not_in_any_proposed_teams(X0,X1,X2)
     => ~ ( accept_leader(X0,X1)
          & accept_city(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',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/Axioms/AGT001+0.ax',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/Axioms/AGT001+0.ax',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/Axioms/AGT001+0.ax',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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_11) ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_12) ).

fof(f192,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_172) ).

fof(f270,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).

fof(f271,axiom,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn1) ).

fof(f273,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).

fof(f275,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).

fof(f345,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).

fof(f348,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn78) ).

fof(f532,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).

fof(f535,axiom,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).

fof(f536,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

fof(f537,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).

fof(f538,axiom,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).

fof(f539,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

fof(f540,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).

fof(f541,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).

fof(f542,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).

fof(f544,axiom,
    ! [X0,X1,X2] :
      ( ( rdn_positive_less(rdnn(X1),rdnn(X2))
        & rdn_positive_less(rdnn(X0),rdnn(X1)) )
     => rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).

fof(f546,axiom,
    ! [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)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).

fof(f548,axiom,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).

fof(f550,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X2,X3)
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_pos(X2)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(f556,conjecture,
    ? [X0,X1] : ~ accept_population(X0,christian,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_20) ).

fof(f557,negated_conjecture,
    ~ ? [X0,X1] : ~ accept_population(X0,christian,X1),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f564,plain,
    ! [X0,X1,X2,X3] :
      ( ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f565,plain,
    ! [X0,X1,X2,X3] :
      ( ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2) ),
    inference(flattening,[],[f564]) ).

fof(f567,plain,
    ! [X0,X1,X2] :
      ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_leader(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f568,plain,
    ! [X0,X1,X2] :
      ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
      | ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f569,plain,
    ! [X0,X1,X2] :
      ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
      | ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2) ),
    inference(flattening,[],[f568]) ).

fof(f570,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(ennf_transformation,[],[f544]) ).

fof(f571,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(flattening,[],[f570]) ).

fof(f573,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(ennf_transformation,[],[f546]) ).

fof(f574,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(flattening,[],[f573]) ).

fof(f576,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(ennf_transformation,[],[f548]) ).

fof(f578,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(ennf_transformation,[],[f550]) ).

fof(f579,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(flattening,[],[f578]) ).

fof(f584,plain,
    ! [X0,X1] : accept_population(X0,christian,X1),
    inference(ennf_transformation,[],[f557]) ).

fof(f585,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(f586,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,[],[f585]) ).

fof(f603,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(f604,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,[],[f603]) ).

fof(f605,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(f606,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,[],[f605]) ).

fof(f609,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(f610,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,[],[f609]) ).

fof(f611,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(f612,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,[],[f611]) ).

fof(f617,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_team(X0,X3,X1,X2)
      | accept_city(X0,X1) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f620,plain,
    ! [X2,X3,X0,X1] :
      ( ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2) ),
    inference(cnf_transformation,[],[f565]) ).

fof(f623,plain,
    ! [X2,X0,X1] :
      ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f624,plain,
    ! [X2,X0,X1] :
      ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
      | ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f569]) ).

fof(f673,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) ),
    inference(cnf_transformation,[],[f604]) ).

fof(f674,plain,
    ! [X0] :
      ( ~ accept_city(X0,towna)
      | accept_population(X0,other,n0) ),
    inference(cnf_transformation,[],[f604]) ).

fof(f679,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) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f680,plain,
    ! [X0] :
      ( ~ accept_city(X0,citya)
      | accept_population(X0,other,n0) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ accept_city(X0,citya)
      | accept_population(X0,atheist,n75) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f692,plain,
    ! [X0] :
      ( ~ accept_city(X0,cityb)
      | accept_population(X0,other,n1) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f693,plain,
    ! [X0] :
      ( ~ accept_city(X0,cityb)
      | accept_population(X0,native,n0) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f694,plain,
    ! [X0] :
      ( ~ accept_city(X0,cityb)
      | accept_population(X0,muslim,n1) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f696,plain,
    ! [X0] :
      ( ~ accept_city(X0,cityb)
      | accept_population(X0,atheist,n78) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f698,plain,
    ! [X0] :
      ( ~ accept_city(X0,townc)
      | accept_population(X0,other,n5) ),
    inference(cnf_transformation,[],[f612]) ).

fof(f699,plain,
    ! [X0] :
      ( ~ accept_city(X0,townc)
      | accept_population(X0,native,n0) ),
    inference(cnf_transformation,[],[f612]) ).

fof(f700,plain,
    ! [X0] :
      ( ~ accept_city(X0,townc)
      | accept_population(X0,muslim,n65) ),
    inference(cnf_transformation,[],[f612]) ).

fof(f713,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f31]) ).

fof(f714,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f32]) ).

fof(f874,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    inference(cnf_transformation,[],[f192]) ).

fof(f952,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f270]) ).

fof(f953,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(cnf_transformation,[],[f271]) ).

fof(f955,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f273]) ).

fof(f957,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(cnf_transformation,[],[f275]) ).

fof(f1027,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f345]) ).

fof(f1030,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f348]) ).

fof(f1214,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f532]) ).

fof(f1217,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(cnf_transformation,[],[f535]) ).

fof(f1218,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(cnf_transformation,[],[f536]) ).

fof(f1219,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f537]) ).

fof(f1220,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    inference(cnf_transformation,[],[f538]) ).

fof(f1221,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f539]) ).

fof(f1222,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f540]) ).

fof(f1223,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f541]) ).

fof(f1224,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f542]) ).

fof(f1226,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1))
      | rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(cnf_transformation,[],[f571]) ).

fof(f1228,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_non_zero(X1)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2))
      | rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
    inference(cnf_transformation,[],[f574]) ).

fof(f1230,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f576]) ).

fof(f1232,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2))
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f579]) ).

fof(f1238,plain,
    ! [X0,X1] : accept_population(X0,christian,X1),
    inference(cnf_transformation,[],[f584]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_city(X0,X2)
      | ~ accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f617]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_population(X0,X1,X3)
      | ~ less(X3,X2)
      | ~ accept_population(X0,X1,X2) ),
    inference(cnf_transformation,[],[f620]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f623]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f624]) ).

tcf(c_111,plain,
    ! [X0: $i] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,towna) ),
    inference(cnf_transformation,[],[f674]) ).

tcf(c_112,plain,
    ! [X0: $i] :
      ( 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,[],[f673]) ).

tcf(c_113,plain,
    ! [X0: $i] :
      ( accept_population(X0,atheist,n75)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f684]) ).

tcf(c_117,plain,
    ! [X0: $i] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f680]) ).

tcf(c_118,plain,
    ! [X0: $i] :
      ( 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,[],[f679]) ).

tcf(c_125,plain,
    ! [X0: $i] :
      ( accept_population(X0,atheist,n78)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f696]) ).

tcf(c_127,plain,
    ! [X0: $i] :
      ( accept_population(X0,muslim,n1)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f694]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f693]) ).

tcf(c_129,plain,
    ! [X0: $i] :
      ( accept_population(X0,other,n1)
      | ~ accept_city(X0,cityb) ),
    inference(cnf_transformation,[],[f692]) ).

tcf(c_133,plain,
    ! [X0: $i] :
      ( accept_population(X0,muslim,n65)
      | ~ accept_city(X0,townc) ),
    inference(cnf_transformation,[],[f700]) ).

tcf(c_134,plain,
    ! [X0: $i] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,townc) ),
    inference(cnf_transformation,[],[f699]) ).

tcf(c_135,plain,
    ! [X0: $i] :
      ( accept_population(X0,other,n5)
      | ~ accept_city(X0,townc) ),
    inference(cnf_transformation,[],[f698]) ).

tcf(c_147,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f713]) ).

tcf(c_148,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f714]) ).

tcf(c_308,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n5),
    inference(cnf_transformation,[],[f874]) ).

tcf(c_386,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f952]) ).

tcf(c_387,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(cnf_transformation,[],[f953]) ).

tcf(c_389,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f955]) ).

tcf(c_391,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(cnf_transformation,[],[f957]) ).

tcf(c_461,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f1027]) ).

tcf(c_464,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f1030]) ).

tcf(c_648,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f1214]) ).

tcf(c_651,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(cnf_transformation,[],[f1217]) ).

tcf(c_652,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(cnf_transformation,[],[f1218]) ).

tcf(c_653,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f1219]) ).

tcf(c_654,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    inference(cnf_transformation,[],[f1220]) ).

tcf(c_655,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f1221]) ).

tcf(c_656,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f1222]) ).

tcf(c_657,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f1223]) ).

tcf(c_658,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f1224]) ).

tcf(c_660,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(cnf_transformation,[],[f1226]) ).

tcf(c_662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( rdn_positive_less(rdn(rdnn(X0),X2),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(cnf_transformation,[],[f1228]) ).

tcf(c_664,plain,
    ! [X0: $i] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f1230]) ).

tcf(c_666,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( less(X0,X2)
      | ~ rdn_positive_less(X1,X3)
      | ~ rdn_translate(X2,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(cnf_transformation,[],[f1232]) ).

tcf(c_672,negated_conjecture,
    ! [X0: $i,X1: $i] : accept_population(X0,christian,X1),
    inference(cnf_transformation,[],[f1238]) ).

tcf(c_995,plain,
    ! [X0: $i] :
      ( accept_city(X0,citya)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n0)
      | ~ accept_population(X0,atheist,n75) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_118,c_672]) ).

tcf(c_996,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,atheist,n75) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_112,c_672]) ).

tcf(c_2758,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ( X2 != towna )
      | ( X1 != countryacivilorganization )
      | ( X0 != muslimcountrybhumanitarianorganization ) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_147]) ).

tcf(c_2759,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(unflattening,[status(thm)],[c_2758]) ).

tcf(c_3038,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_leader(X0,X1)
      | ( X2 != towna )
      | ( X1 != countryacivilorganization )
      | ( X0 != muslimcountrybhumanitarianorganization ) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_148]) ).

tcf(c_3039,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(unflattening,[status(thm)],[c_3038]) ).

tcf(c_3185,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(backward_subsumption_resolution,[status(thm)],[c_2759,c_3039]) ).

tcf(c_9918,plain,
    ! [X0: $i] :
      ( rdn_positive_less(rdnn(X0),rdnn(n2))
      | ~ rdn_positive_less(rdnn(n1),rdnn(n2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(n1)) ),
    inference(instantiation,[status(thm)],[c_660]) ).

tcf(c_10908,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,atheist,n75) ),
    inference(superposition,[status(thm)],[c_127,c_996]) ).

tcf(c_10930,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,atheist,n75) ),
    inference(global_subsumption_just,[status(thm)],[c_10908,c_128,c_10908]) ).

tcf(c_10937,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,cityb)
      | ~ accept_city(X0,citya)
      | ~ accept_population(X0,atheist,n75) ),
    inference(superposition,[status(thm)],[c_117,c_10930]) ).

tcf(c_11023,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,cityb)
      | ~ accept_city(X0,citya) ),
    inference(global_subsumption_just,[status(thm)],[c_10937,c_117,c_113,c_10930]) ).

tcf(c_16653,plain,
    ( rdn_positive_less(rdnn(n0),rdnn(n2))
    | ~ rdn_positive_less(rdnn(n0),rdnn(n1))
    | ~ rdn_positive_less(rdnn(n1),rdnn(n2)) ),
    inference(instantiation,[status(thm)],[c_9918]) ).

tcf(c_86529,plain,
    ! [X0: $i] :
      ( rdn_positive_less(rdnn(X0),rdnn(n3))
      | ~ rdn_positive_less(rdnn(n2),rdnn(n3))
      | ~ rdn_positive_less(rdnn(X0),rdnn(n2)) ),
    inference(instantiation,[status(thm)],[c_660]) ).

tcf(c_88341,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_population(X0,X1,X2)
      | ~ less(X2,n5)
      | ~ accept_population(X0,X1,n5) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_89168,plain,
    ! [X0: $i,X1: $i] :
      ( accept_population(X0,other,X1)
      | ~ less(X1,n5)
      | ~ accept_population(X0,other,n5) ),
    inference(instantiation,[status(thm)],[c_88341]) ).

tcf(c_89653,plain,
    ( rdn_positive_less(rdnn(n0),rdnn(n3))
    | ~ rdn_positive_less(rdnn(n2),rdnn(n3))
    | ~ rdn_positive_less(rdnn(n0),rdnn(n2)) ),
    inference(instantiation,[status(thm)],[c_86529]) ).

tcf(c_94310,plain,
    ! [X0: $i,X1: $i] :
      ( accept_population(X0,X1,n0)
      | ~ less(n0,n3)
      | ~ accept_population(X0,X1,n3) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_96271,plain,
    ! [X0: $i] :
      ( accept_population(X0,other,n0)
      | ~ less(n0,n3)
      | ~ accept_population(X0,other,n3) ),
    inference(instantiation,[status(thm)],[c_94310]) ).

tcf(c_96273,plain,
    ! [X0: $i] :
      ( accept_population(X0,other,n3)
      | ~ less(n3,n5)
      | ~ accept_population(X0,other,n5) ),
    inference(instantiation,[status(thm)],[c_89168]) ).

tcf(c_107091,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,atheist,n75) ),
    inference(superposition,[status(thm)],[c_127,c_996]) ).

tcf(c_107103,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,atheist,n75) ),
    inference(global_subsumption_just,[status(thm)],[c_107091,c_10930]) ).

tcf(c_107326,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(superposition,[status(thm)],[c_308,c_50]) ).

tcf(c_107762,plain,
    ! [X0: $i,X1: $i] :
      ( accept_population(X0,other,X1)
      | ~ less(X1,n1)
      | ~ accept_city(X0,cityb) ),
    inference(superposition,[status(thm)],[c_129,c_54]) ).

tcf(c_107767,plain,
    ! [X0: $i,X1: $i] :
      ( accept_population(X0,muslim,X1)
      | ~ less(X1,n1)
      | ~ accept_city(X0,cityb) ),
    inference(superposition,[status(thm)],[c_127,c_54]) ).

tcf(c_107797,plain,
    ! [X0: $i,X1: $i] :
      ( accept_population(X0,atheist,X1)
      | ~ less(X1,n78)
      | ~ accept_city(X0,cityb) ),
    inference(superposition,[status(thm)],[c_125,c_54]) ).

tcf(c_107798,plain,
    ! [X0: $i,X1: $i] :
      ( accept_population(X0,muslim,X1)
      | ~ less(X1,n65)
      | ~ accept_city(X0,townc) ),
    inference(superposition,[status(thm)],[c_133,c_54]) ).

tcf(c_108036,plain,
    ! [X0: $i] :
      ( rdn_positive_less(rdnn(n3),rdnn(X0))
      | ~ rdn_positive_less(rdnn(n4),rdnn(X0)) ),
    inference(superposition,[status(thm)],[c_654,c_660]) ).

tcf(c_108046,plain,
    ! [X0: $i,X1: $i] :
      ( less(n0,X0)
      | ~ rdn_positive_less(rdnn(n0),X1)
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(superposition,[status(thm)],[c_386,c_666]) ).

tcf(c_108049,plain,
    ! [X0: $i,X1: $i] :
      ( less(n3,X0)
      | ~ rdn_positive_less(rdnn(n3),X1)
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(superposition,[status(thm)],[c_389,c_666]) ).

tcf(c_119913,plain,
    rdn_positive_less(rdnn(n3),rdnn(n5)),
    inference(superposition,[status(thm)],[c_655,c_108036]) ).

tcf(c_122752,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ less(n0,n1)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,atheist,n75) ),
    inference(superposition,[status(thm)],[c_107762,c_107103]) ).

tcf(c_123464,plain,
    ! [X0: $i] :
      ( accept_city(X0,citya)
      | ~ less(n0,n1)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,atheist,n75) ),
    inference(superposition,[status(thm)],[c_107767,c_995]) ).

tcf(c_125036,plain,
    ! [X0: $i] :
      ( accept_city(X0,citya)
      | ~ less(n0,n1)
      | ~ accept_city(X0,cityb)
      | ~ accept_population(X0,atheist,n75) ),
    inference(global_subsumption_just,[status(thm)],[c_123464,c_128,c_111,c_122752,c_123464]) ).

tcf(c_131075,plain,
    ! [X0: $i] :
      ( accept_city(X0,citya)
      | ~ less(n75,n78)
      | ~ less(n0,n1)
      | ~ accept_city(X0,cityb) ),
    inference(superposition,[status(thm)],[c_107797,c_125036]) ).

tcf(c_131180,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ less(n1,n65)
      | ~ accept_city(X0,townc)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,atheist,n75) ),
    inference(superposition,[status(thm)],[c_107798,c_996]) ).

tcf(c_131445,plain,
    ( less(n0,n1)
    | ~ rdn_positive_less(rdnn(n0),rdnn(n1)) ),
    inference(superposition,[status(thm)],[c_387,c_108046]) ).

tcf(c_131447,plain,
    ( less(n0,n3)
    | ~ rdn_positive_less(rdnn(n0),rdnn(n3)) ),
    inference(superposition,[status(thm)],[c_389,c_108046]) ).

tcf(c_131573,plain,
    less(n0,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_131445,c_651]) ).

tcf(c_134059,plain,
    ( less(n3,n5)
    | ~ rdn_positive_less(rdnn(n3),rdnn(n5)) ),
    inference(superposition,[status(thm)],[c_391,c_108049]) ).

tcf(c_134182,plain,
    less(n3,n5),
    inference(forward_subsumption_resolution,[status(thm)],[c_134059,c_119913]) ).

tcf(c_143421,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ less(n1,n65)
      | ~ accept_city(X0,townc)
      | ~ accept_population(X0,atheist,n75) ),
    inference(global_subsumption_just,[status(thm)],[c_131180,c_653,c_652,c_651,c_135,c_134,c_16653,c_89653,c_96271,c_96273,c_131180,c_131447,c_134182]) ).

tcf(c_143430,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ less(n75,n78)
      | ~ less(n1,n65)
      | ~ accept_city(X0,townc)
      | ~ accept_city(X0,cityb) ),
    inference(superposition,[status(thm)],[c_107797,c_143421]) ).

tcf(c_153297,plain,
    ! [X0: $i] :
      ( accept_city(X0,towna)
      | ~ less(n75,n78)
      | ~ accept_city(X0,cityb) ),
    inference(global_subsumption_just,[status(thm)],[c_143430,c_11023,c_131075,c_131573]) ).

tcf(c_153310,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ less(n75,n78) ),
    inference(superposition,[status(thm)],[c_107326,c_153297]) ).

tcf(c_153314,plain,
    ~ less(n75,n78),
    inference(forward_subsumption_resolution,[status(thm)],[c_153310,c_3185]) ).

tcf(c_340399,plain,
    rdn_non_zero(rdnn(n7)),
    inference(superposition,[status(thm)],[c_648,c_664]) ).

tcf(c_340517,plain,
    ! [X0: $i] :
      ( rdn_positive_less(rdnn(n5),rdnn(X0))
      | ~ rdn_positive_less(rdnn(n6),rdnn(X0)) ),
    inference(superposition,[status(thm)],[c_656,c_660]) ).

tcf(c_340518,plain,
    ! [X0: $i] :
      ( rdn_positive_less(rdnn(n6),rdnn(X0))
      | ~ rdn_positive_less(rdnn(n7),rdnn(X0)) ),
    inference(superposition,[status(thm)],[c_657,c_660]) ).

tcf(c_340952,plain,
    rdn_positive_less(rdnn(n6),rdnn(n8)),
    inference(superposition,[status(thm)],[c_658,c_340518]) ).

tcf(c_340954,plain,
    rdn_positive_less(rdnn(n5),rdnn(n8)),
    inference(superposition,[status(thm)],[c_340952,c_340517]) ).

tcf(c_342388,plain,
    ! [X0: $i,X1: $i] :
      ( less(n75,X1)
      | ~ rdn_translate(X1,rdn_pos(X0))
      | ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),X0) ),
    inference(superposition,[status(thm)],[c_461,c_666]) ).

tcf(c_366452,plain,
    ! [X0: $i,X1: $i] :
      ( less(n75,X0)
      | ~ rdn_non_zero(rdnn(n7))
      | ~ rdn_positive_less(rdnn(n5),rdnn(X1))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7)))) ),
    inference(superposition,[status(thm)],[c_662,c_342388]) ).

tcf(c_366453,plain,
    ! [X0: $i,X1: $i] :
      ( less(n75,X0)
      | ~ rdn_positive_less(rdnn(n5),rdnn(X1))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n7)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_366452,c_340399]) ).

tcf(c_366898,plain,
    ( less(n75,n78)
    | ~ rdn_positive_less(rdnn(n5),rdnn(n8)) ),
    inference(superposition,[status(thm)],[c_464,c_366453]) ).

tcf(c_366901,plain,
    less(n75,n78),
    inference(forward_subsumption_resolution,[status(thm)],[c_366898,c_340954]) ).

tcf(c_366904,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_366901,c_153314]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : AGT020+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n004.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Fri Sep 25 04:26:36 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38  Running first-order theorem proving
% 0.13/0.38  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39  
% 0.13/0.39  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39  
% 0.13/0.40  % Detected problem language: tptp
% 0.13/0.41  % Proving...
% 138.86/22.05  % SZS status Started for theBenchmark.p
% 138.86/22.05  % SZS status Theorem for theBenchmark.p
% 138.86/22.05  
% 138.86/22.05  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 138.86/22.05  
% 138.86/22.05  % ------  iProver source info
% 138.86/22.05  
% 138.86/22.05  % git: date: 2026-07-19 20:42:38 +0200
% 138.86/22.05  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 138.86/22.05  % git: non_committed_changes: false
% 138.86/22.05  
% 138.86/22.05  % ------ Parsing...
% 138.86/22.05  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 138.86/22.05  
% 138.86/22.05  % ------ 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 % 
% 138.86/22.05  
% 138.86/22.05  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 138.86/22.05  
% 138.86/22.05  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 138.86/22.05  % ------ Proving...
% 138.86/22.05  % ------ Problem Properties 
% 138.86/22.05  
% 138.86/22.05  % 
% 138.86/22.05  % clauses                               601
% 138.86/22.05  % conjectures                           1
% 138.86/22.05  % EPR                                   318
% 138.86/22.05  % Horn                                  600
% 138.86/22.05  % unary                                 519
% 138.86/22.05  % binary                                60
% 138.86/22.05  % lits                                  734
% 138.86/22.05  % lits eq                               1
% 138.86/22.05  % fd_pure                               0
% 138.86/22.05  % fd_pseudo                             0
% 138.86/22.05  % fd_cond                               0
% 138.86/22.05  % fd_pseudo_cond                        1
% 138.86/22.05  % AC symbols                            0
% 138.86/22.05  
% 138.86/22.05  % ------ Input Options Time Limit: Unbounded
% 138.86/22.05  
% 138.86/22.05  
% 138.86/22.05  % ------ 
% 138.86/22.05  % Current options:
% 138.86/22.05  % ------ 
% 138.86/22.05  
% 138.86/22.05  
% 138.86/22.05  % 
% 138.86/22.05  
% 138.86/22.05  % ------ Proving...
% 138.86/22.05  % 
% 138.86/22.05  
% 138.86/22.05  % SZS status Theorem for theBenchmark.p
% 138.86/22.05  
% 138.86/22.05  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 138.86/22.06  
% 138.86/22.06  
%------------------------------------------------------------------------------