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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : AGT006+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 : Thu Sep 24 11:47:25 AM UTC 2026

% Result   : Theorem 23.90s 6.93s
% Output   : CNFRefutation 23.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  106 (  62 unt;   0 def)
%            Number of atoms       :  206 (   0 equ)
%            Maximal formula atoms :   16 (   1 avg)
%            Number of connectives :  178 (  78   ~;  74   |;  18   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-4 aty)
%            Number of functors    :   23 (  23 usr;  20 con; 0-2 aty)
%            Number of variables   :  104 (   9 sgn  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(less_entry_point_pos_pos,axiom,
    ! [X7,X8,X16,X17] :
      ( ( rdn_positive_less(X16,X17)
        & rdn_translate(X8,rdn_pos(X17))
        & rdn_translate(X7,rdn_pos(X16)) )
     => less(X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

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

fof(a1_2,axiom,
    ! [X1,X3,X5] :
      ( ( less(X5,X3)
        & accept_number(X1,X3) )
     => accept_number(X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_2) ).

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

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

fof(rdn65,axiom,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn65) ).

fof(rdn_extra_digits_positive_less,axiom,
    ! [X15,X12,X13] :
      ( rdn_non_zero(X13)
     => rdn_positive_less(rdnn(X15),rdn(rdnn(X12),X13)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).

fof(rdn85,axiom,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn85) ).

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

fof(rdn_positive_less_multi_digit_high,axiom,
    ! [X10,X11,X12,X13] :
      ( rdn_positive_less(X11,X13)
     => rdn_positive_less(rdn(rdnn(X10),X11),rdn(rdnn(X12),X13)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).

fof(a1_1,axiom,
    ! [X1,X2,X3,X4] :
      ( accept_team(X1,X4,X2,X3)
    <=> ( accept_number(X1,X3)
        & accept_leader(X1,X4)
        & accept_city(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).

fof(deduced_330,axiom,
    accept_number(countrybcivilorganization,n1),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_330) ).

fof(a1_3,axiom,
    ! [X1,X3,X5,X6] :
      ( ( less(X5,X3)
        & accept_population(X1,X6,X3) )
     => accept_population(X1,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).

fof(rdn7,axiom,
    rdn_translate(n7,rdn_pos(rdnn(n7))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn7) ).

fof(rdn_non_zero_by_digit,axiom,
    ! [X7] :
      ( rdn_non_zero_digit(rdnn(X7))
     => rdn_non_zero(rdnn(X7)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).

fof(rdn4,axiom,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn4) ).

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

fof(deduced_52,axiom,
    accept_population(countrybcivilorganization,atheist,n78),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_52) ).

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

fof(deduced_45,axiom,
    accept_population(countrybcivilorganization,muslim,n65),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_45) ).

fof(rdn_digit6,axiom,
    rdn_non_zero_digit(rdnn(n6)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).

fof(deduced_38,axiom,
    accept_population(countrybcivilorganization,native,n85),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_38) ).

fof(rdn_digit8,axiom,
    rdn_non_zero_digit(rdnn(n8)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit8) ).

fof(deduced_44,axiom,
    accept_population(countrybcivilorganization,other,n5),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_44) ).

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

fof(deduced_301,axiom,
    accept_leader(countrybcivilorganization,sufferterragovernment),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_301) ).

fof(a2_1,axiom,
    ! [X1] :
      ( ( accept_population(X1,other,n4)
        & accept_population(X1,native,n4)
        & accept_population(X1,muslim,n7)
        & accept_population(X1,christian,n20)
        & accept_population(X1,atheist,n65) )
    <=> accept_city(X1,suffertown) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_1) ).

fof(query_6,conjecture,
    accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_6) ).

fof(deduced_327,axiom,
    accept_number(countrybcivilorganization,n4),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_327) ).

fof(deduced_51,axiom,
    accept_population(countrybcivilorganization,christian,n20),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_51) ).

fof(deduced_292,axiom,
    accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_292) ).

fof(c_0_31,plain,
    ! [X47,X48,X49,X50] :
      ( less(X47,X48)
      | ~ rdn_positive_less(X49,X50)
      | ~ rdn_translate(X48,rdn_pos(X50))
      | ~ rdn_translate(X47,rdn_pos(X49)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])]) ).

cnf(c_0_32,plain,
    ( ~ rdn_positive_less(X2,X4)
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X2))
    | less(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_33,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(split_conjunct,[status(thm)],[rdn1]) ).

fof(c_0_34,plain,
    ! [X57,X58,X59] :
      ( accept_number(X57,X59)
      | ~ less(X59,X58)
      | ~ accept_number(X57,X58) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_2])])]) ).

cnf(c_0_35,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdnn(n1))
    | less(X1,n1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(split_conjunct,[status(thm)],[rdn0]) ).

cnf(c_0_37,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).

cnf(c_0_38,plain,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn65]) ).

fof(c_0_39,plain,
    ! [X44,X45,X46] :
      ( rdn_positive_less(rdnn(X44),rdn(rdnn(X45),X46))
      | ~ rdn_non_zero(X46) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])])]) ).

cnf(c_0_40,plain,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn85]) ).

cnf(c_0_41,plain,
    ( ~ less(X3,X2)
    | ~ accept_number(X1,X2)
    | accept_number(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_42,plain,
    less(n0,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_43,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn78]) ).

fof(c_0_44,plain,
    ! [X37,X38,X39,X40] :
      ( rdn_positive_less(rdn(rdnn(X37),X38),rdn(rdnn(X39),X40))
      | ~ rdn_positive_less(X38,X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])])]) ).

cnf(c_0_45,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n6)))
    | less(X1,n65) ),
    inference(spm,[status(thm)],[c_0_32,c_0_38]) ).

cnf(c_0_46,plain,
    ( ~ rdn_non_zero(X1)
    | rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n8)))
    | less(X1,n85) ),
    inference(spm,[status(thm)],[c_0_32,c_0_40]) ).

fof(c_0_48,plain,
    ! [X18,X19,X20,X21] :
      ( ( accept_team(X18,X21,X19,X20)
        | ~ accept_number(X18,X20)
        | ~ accept_leader(X18,X21)
        | ~ accept_city(X18,X19) )
      & ( ~ accept_team(X18,X21,X19,X20)
        | accept_number(X18,X20) )
      & ( ~ accept_team(X18,X21,X19,X20)
        | accept_leader(X18,X21) )
      & ( ~ accept_team(X18,X21,X19,X20)
        | accept_city(X18,X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])])]) ).

cnf(c_0_49,plain,
    ( ~ accept_number(X1,n1)
    | accept_number(X1,n0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,plain,
    accept_number(countrybcivilorganization,n1),
    inference(split_conjunct,[status(thm)],[deduced_330]) ).

fof(c_0_51,plain,
    ! [X60,X61,X62,X63] :
      ( accept_population(X60,X63,X62)
      | ~ less(X62,X61)
      | ~ accept_population(X60,X63,X61) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])])]) ).

cnf(c_0_52,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdn(rdnn(n8),rdnn(n7)))
    | less(X1,n78) ),
    inference(spm,[status(thm)],[c_0_32,c_0_43]) ).

cnf(c_0_53,plain,
    ( ~ rdn_positive_less(X1,X2)
    | rdn_positive_less(rdn(rdnn(X3),X1),rdn(rdnn(X4),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_54,plain,
    ( ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
    | ~ rdn_non_zero(rdnn(n6))
    | less(X1,n65) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_55,plain,
    rdn_translate(n7,rdn_pos(rdnn(n7))),
    inference(split_conjunct,[status(thm)],[rdn7]) ).

fof(c_0_56,plain,
    ! [X33] :
      ( rdn_non_zero(rdnn(X33))
      | ~ rdn_non_zero_digit(rdnn(X33)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])])]) ).

cnf(c_0_57,plain,
    ( ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
    | ~ rdn_non_zero(rdnn(n8))
    | less(X1,n85) ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

cnf(c_0_58,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    inference(split_conjunct,[status(thm)],[rdn4]) ).

cnf(c_0_59,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(split_conjunct,[status(thm)],[rdn5]) ).

cnf(c_0_60,plain,
    ( ~ accept_number(X1,X4)
    | ~ accept_leader(X1,X3)
    | ~ accept_city(X1,X2)
    | accept_team(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_61,plain,
    accept_number(countrybcivilorganization,n0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_62,plain,
    ( ~ less(X4,X3)
    | ~ accept_population(X1,X2,X3)
    | accept_population(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_63,plain,
    accept_population(countrybcivilorganization,atheist,n78),
    inference(split_conjunct,[status(thm)],[deduced_52]) ).

cnf(c_0_64,plain,
    ( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X3),X2)))
    | ~ rdn_positive_less(X2,rdnn(n7))
    | less(X1,n78) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_65,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less67]) ).

cnf(c_0_66,plain,
    accept_population(countrybcivilorganization,muslim,n65),
    inference(split_conjunct,[status(thm)],[deduced_45]) ).

cnf(c_0_67,plain,
    ( ~ rdn_non_zero(rdnn(n6))
    | less(n7,n65) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_68,plain,
    ( ~ rdn_non_zero_digit(rdnn(X1))
    | rdn_non_zero(rdnn(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_69,plain,
    rdn_non_zero_digit(rdnn(n6)),
    inference(split_conjunct,[status(thm)],[rdn_digit6]) ).

cnf(c_0_70,plain,
    accept_population(countrybcivilorganization,native,n85),
    inference(split_conjunct,[status(thm)],[deduced_38]) ).

cnf(c_0_71,plain,
    ( ~ rdn_non_zero(rdnn(n8))
    | less(n4,n85) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_72,plain,
    rdn_non_zero_digit(rdnn(n8)),
    inference(split_conjunct,[status(thm)],[rdn_digit8]) ).

cnf(c_0_73,plain,
    accept_population(countrybcivilorganization,other,n5),
    inference(split_conjunct,[status(thm)],[deduced_44]) ).

cnf(c_0_74,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdnn(n5))
    | less(X1,n5) ),
    inference(spm,[status(thm)],[c_0_32,c_0_59]) ).

cnf(c_0_75,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).

cnf(c_0_76,plain,
    ( ~ accept_city(countrybcivilorganization,X2)
    | ~ accept_leader(countrybcivilorganization,X1)
    | accept_team(countrybcivilorganization,X1,X2,n0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_77,plain,
    accept_leader(countrybcivilorganization,sufferterragovernment),
    inference(split_conjunct,[status(thm)],[deduced_301]) ).

fof(c_0_78,plain,
    ! [X22] :
      ( ( ~ accept_city(X22,suffertown)
        | accept_population(X22,other,n4) )
      & ( ~ accept_city(X22,suffertown)
        | accept_population(X22,native,n4) )
      & ( ~ accept_city(X22,suffertown)
        | accept_population(X22,muslim,n7) )
      & ( ~ accept_city(X22,suffertown)
        | accept_population(X22,christian,n20) )
      & ( ~ accept_city(X22,suffertown)
        | accept_population(X22,atheist,n65) )
      & ( accept_city(X22,suffertown)
        | ~ accept_population(X22,other,n4)
        | ~ accept_population(X22,native,n4)
        | ~ accept_population(X22,muslim,n7)
        | ~ accept_population(X22,christian,n20)
        | ~ accept_population(X22,atheist,n65) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_1])])])]) ).

cnf(c_0_79,plain,
    ( ~ less(X1,n78)
    | accept_population(countrybcivilorganization,atheist,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_80,plain,
    less(n65,n78),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_38]),c_0_65])]) ).

cnf(c_0_81,plain,
    ( ~ less(X1,n65)
    | accept_population(countrybcivilorganization,muslim,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_66]) ).

cnf(c_0_82,plain,
    less(n7,n65),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).

cnf(c_0_83,plain,
    ( ~ less(X1,n85)
    | accept_population(countrybcivilorganization,native,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_70]) ).

cnf(c_0_84,plain,
    less(n4,n85),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_68]),c_0_72])]) ).

cnf(c_0_85,plain,
    ( ~ less(X1,n5)
    | accept_population(countrybcivilorganization,other,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_73]) ).

cnf(c_0_86,plain,
    less(n4,n5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_58]),c_0_75])]) ).

fof(c_0_87,negated_conjecture,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
    inference(assume_negation,[status(cth)],[query_6]) ).

cnf(c_0_88,plain,
    accept_number(countrybcivilorganization,n4),
    inference(split_conjunct,[status(thm)],[deduced_327]) ).

cnf(c_0_89,plain,
    ( ~ accept_city(countrybcivilorganization,X1)
    | accept_team(countrybcivilorganization,sufferterragovernment,X1,n0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_90,plain,
    ( ~ accept_population(X1,other,n4)
    | ~ accept_population(X1,native,n4)
    | ~ accept_population(X1,muslim,n7)
    | ~ accept_population(X1,christian,n20)
    | ~ accept_population(X1,atheist,n65)
    | accept_city(X1,suffertown) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_91,plain,
    accept_population(countrybcivilorganization,atheist,n65),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_92,plain,
    accept_population(countrybcivilorganization,christian,n20),
    inference(split_conjunct,[status(thm)],[deduced_51]) ).

cnf(c_0_93,plain,
    accept_population(countrybcivilorganization,muslim,n7),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_94,plain,
    accept_population(countrybcivilorganization,native,n4),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_95,plain,
    accept_population(countrybcivilorganization,other,n4),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

fof(c_0_96,negated_conjecture,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

cnf(c_0_97,plain,
    ( ~ accept_city(countrybcivilorganization,X2)
    | ~ accept_leader(countrybcivilorganization,X1)
    | accept_team(countrybcivilorganization,X1,X2,n4) ),
    inference(spm,[status(thm)],[c_0_60,c_0_88]) ).

cnf(c_0_98,plain,
    accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
    inference(split_conjunct,[status(thm)],[deduced_292]) ).

cnf(c_0_99,plain,
    ( ~ accept_team(X1,X3,X2,X4)
    | accept_city(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_100,plain,
    accept_team(countrybcivilorganization,sufferterragovernment,suffertown,n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95])]) ).

fof(c_0_101,negated_conjecture,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
    inference(fof_nnf,[status(thm)],[c_0_96]) ).

cnf(c_0_102,plain,
    ( ~ accept_city(countrybcivilorganization,X1)
    | accept_team(countrybcivilorganization,countrybhumanitarianorganization,X1,n4) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_103,plain,
    accept_city(countrybcivilorganization,suffertown),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_104,negated_conjecture,
    ~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_105,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT006+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.38  % Computer : n020.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8046.5625MB
% 0.14/0.38  % OS       : Linux 6.8.0-71-generic
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Mon Sep 21 12:49:18 UTC 2026
% 0.14/0.38  % CPUTime  : 
% 0.14/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43  Running first-order theorem proving
% 0.14/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.90/6.93  % Version: 3.5.1
% 23.90/6.93  % Preprocessing class: FSLMSMSLSSSNFFN.
% 23.90/6.93  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.90/6.93  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 23.90/6.93  % Starting new_bool_3 with 600s (2) cores
% 23.90/6.93  % Starting new_bool_1 with 600s (2) cores
% 23.90/6.93  % Starting sh5l with 300s (1) cores
% 23.90/6.93  % new_bool_3 with pid 2952481 completed with status 9
% 23.90/6.93  % new_bool_1 with pid 2952482 completed with status 9
% 23.90/6.93  % sh5l with pid 2952483 completed with status 0
% 23.90/6.93  % Result found by sh5l
% 23.90/6.93  % Preprocessing class: FSLMSMSLSSSNFFN.
% 23.90/6.93  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.90/6.93  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 23.90/6.93  % Starting new_bool_3 with 600s (2) cores
% 23.90/6.93  % Starting new_bool_1 with 600s (2) cores
% 23.90/6.93  % Starting sh5l with 300s (1) cores
% 23.90/6.93  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 23.90/6.93  % SinE strategy is gf500_gu_R04_F100_L20000
% 23.90/6.93  % Search class: FGHSF-FSLM21-MFFFFFNN
% 23.90/6.93  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 23.90/6.93  % Starting SubtermCWHack with 28s (1) cores
% 23.90/6.93  % SubtermCWHack with pid 2952491 completed with status 0
% 23.90/6.93  % Result found by SubtermCWHack
% 23.90/6.93  % Preprocessing class: FSLMSMSLSSSNFFN.
% 23.90/6.93  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.90/6.93  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 23.90/6.93  % Starting new_bool_3 with 600s (2) cores
% 23.90/6.93  % Starting new_bool_1 with 600s (2) cores
% 23.90/6.93  % Starting sh5l with 300s (1) cores
% 23.90/6.93  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 23.90/6.93  % SinE strategy is gf500_gu_R04_F100_L20000
% 23.90/6.93  % Search class: FGHSF-FSLM21-MFFFFFNN
% 23.90/6.93  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 23.90/6.93  % Starting SubtermCWHack with 28s (1) cores
% 23.90/6.93  % Preprocessing time       : 0.006 s
% 23.90/6.93  
% 23.90/6.93  % Proof found!
% 23.90/6.93  % SZS status Theorem
% 23.90/6.93  % SZS output start CNFRefutation
% See solution above
% 23.90/6.93  % Parsed axioms                        : 923
% 23.90/6.93  % Removed by relevancy pruning/SinE    : 252
% 23.90/6.93  % Initial clauses                      : 704
% 23.90/6.93  % Removed in clause preprocessing      : 0
% 23.90/6.93  % Initial clauses in saturation        : 704
% 23.90/6.93  % Processed clauses                    : 21663
% 23.90/6.93  % ...of these trivial                  : 5591
% 23.90/6.93  % ...subsumed                          : 4092
% 23.90/6.93  % ...remaining for further processing  : 11980
% 23.90/6.93  % Other redundant clauses eliminated   : 2
% 23.90/6.93  % Clauses deleted for lack of memory   : 0
% 23.90/6.93  % Backward-subsumed                    : 431
% 23.90/6.93  % Backward-rewritten                   : 6151
% 23.90/6.93  % Generated clauses                    : 739536
% 23.90/6.93  % ...of the previous two non-redundant : 89715
% 23.90/6.93  % ...aggressively subsumed             : 0
% 23.90/6.93  % Contextual simplify-reflections      : 0
% 23.90/6.93  % Paramodulations                      : 739532
% 23.90/6.93  % Factorizations                       : 2
% 23.90/6.93  % NegExts                              : 0
% 23.90/6.93  % Equation resolutions                 : 2
% 23.90/6.93  % Disequality decompositions           : 0
% 23.90/6.93  % Total rewrite steps                  : 778052
% 23.90/6.93  % ...of those cached                   : 775237
% 23.90/6.93  % Propositional unsat checks           : 0
% 23.90/6.93  %    Propositional check models        : 0
% 23.90/6.93  %    Propositional check unsatisfiable : 0
% 23.90/6.93  %    Propositional clauses             : 0
% 23.90/6.93  %    Propositional clauses after purity: 0
% 23.90/6.93  %    Propositional unsat core size     : 0
% 23.90/6.93  %    Propositional preprocessing time  : 0.000
% 23.90/6.93  %    Propositional encoding time       : 0.000
% 23.90/6.93  %    Propositional solver time         : 0.000
% 23.90/6.93  %    Success case prop preproc time    : 0.000
% 23.90/6.93  %    Success case prop encoding time   : 0.000
% 23.90/6.93  %    Success case prop solver time     : 0.000
% 23.90/6.93  % Current number of processed clauses  : 5396
% 23.90/6.93  %    Positive orientable unit clauses  : 2983
% 23.90/6.93  %    Positive unorientable unit clauses: 0
% 23.90/6.93  %    Negative unit clauses             : 271
% 23.90/6.93  %    Non-unit-clauses                  : 2142
% 23.90/6.93  % Current number of unprocessed clauses: 68671
% 23.90/6.93  % ...number of literals in the above   : 269627
% 23.90/6.93  % Current number of archived formulas  : 0
% 23.90/6.93  % Current number of archived clauses   : 6582
% 23.90/6.93  % Clause-clause subsumption calls (NU) : 2062511
% 23.90/6.93  % Rec. Clause-clause subsumption calls : 867855
% 23.90/6.93  % Non-unit clause-clause subsumptions  : 4048
% 23.90/6.93  % Unit Clause-clause subsumption calls : 329819
% 23.90/6.93  % Rewrite failures with RHS unbound    : 0
% 23.90/6.93  % BW rewrite match attempts            : 35766
% 23.90/6.93  % BW rewrite match successes           : 446
% 23.90/6.93  % Condensation attempts                : 0
% 23.90/6.93  % Condensation successes               : 0
% 23.90/6.93  % Termbank termtop insertions          : 8074780
% 23.90/6.93  % Search garbage collected termcells   : 1851
% 23.90/6.93  
% 23.90/6.93  % -------------------------------------------------
% 23.90/6.93  % User time                : 5.854 s
% 23.90/6.93  % System time              : 0.064 s
% 23.90/6.93  % Total time               : 5.918 s
% 23.90/6.93  % Maximum resident set size: 5016 pages
% 23.90/6.93  
% 23.90/6.93  % -------------------------------------------------
% 23.90/6.93  % User time                : 10.524 s
% 23.90/6.93  % System time              : 0.435 s
% 23.90/6.93  % Total time               : 10.960 s
% 23.90/6.93  % Maximum resident set size: 4864 pages
% 23.90/6.93  % E exiting
%------------------------------------------------------------------------------