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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : AGT009+1 : 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 : n014.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 11:47:26 AM UTC 2026

% Result   : Theorem 0.32s 0.96s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   75 (  33 unt;   0 def)
%            Number of atoms       :  224 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  246 (  97   ~;  89   |;  48   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-4 aty)
%            Number of functors    :   28 (  28 usr;  25 con; 0-2 aty)
%            Number of variables   :   94 (   4 sgn  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query_9,conjecture,
    ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_9) ).

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(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(rdn25,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn25) ).

fof(rdn_positive_less_multi_digit_low,axiom,
    ! [X10,X14,X12] :
      ( ( rdn_non_zero(X14)
        & rdn_positive_less(rdnn(X10),rdnn(X12)) )
     => rdn_positive_less(rdn(rdnn(X10),X14),rdn(rdnn(X12),X14)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).

fof(a1_5,axiom,
    ! [X1,X4,X2] :
      ( any_agent_in_all_proposed_teams(X1,X4,X2)
     => accept_leader(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).

fof(a1_4,axiom,
    ! [X1,X4,X2] :
      ( the_agent_in_all_proposed_teams(X1,X4,X2)
     => ( accept_city(X1,X2)
        & accept_leader(X1,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_4) ).

fof(a2_10,axiom,
    ! [X1] :
      ( ( accept_population(X1,other,n0)
        & accept_population(X1,native,n0)
        & accept_population(X1,muslim,n0)
        & accept_population(X1,christian,n25)
        & accept_population(X1,atheist,n75) )
    <=> accept_city(X1,citya) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_10) ).

fof(a1_6,axiom,
    ! [X1,X4,X2] :
      ( the_agent_not_in_any_proposed_teams(X1,X4,X2)
     => ~ ( accept_leader(X1,X4)
          & accept_city(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).

fof(event_249,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_249) ).

fof(a2_13,axiom,
    ! [X1] :
      ( ( accept_population(X1,other,n5)
        & accept_population(X1,native,n0)
        & accept_population(X1,muslim,n65)
        & accept_population(X1,christian,n0)
        & accept_population(X1,atheist,n30) )
    <=> accept_city(X1,townc) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).

fof(event_104,axiom,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_104) ).

fof(a2_12,axiom,
    ! [X1] :
      ( ( accept_population(X1,other,n1)
        & accept_population(X1,native,n0)
        & accept_population(X1,muslim,n1)
        & accept_population(X1,christian,n20)
        & accept_population(X1,atheist,n78) )
    <=> accept_city(X1,cityb) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).

fof(event_8,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_8) ).

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(rdn24,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn24) ).

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(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(event_248,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_248) ).

fof(a2_9,axiom,
    ! [X1] :
      ( ( accept_population(X1,other,n0)
        & accept_population(X1,native,n0)
        & accept_population(X1,muslim,n1)
        & accept_population(X1,christian,n24)
        & accept_population(X1,atheist,n75) )
    <=> accept_city(X1,towna) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).

fof(rdn_digit2,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

fof(c_0_21,negated_conjecture,
    ~ ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(assume_negation,[status(cth)],[query_9]) ).

fof(c_0_22,plain,
    ! [X51,X52,X53,X54] :
      ( less(X51,X52)
      | ~ rdn_positive_less(X53,X54)
      | ~ rdn_translate(X52,rdn_pos(X54))
      | ~ rdn_translate(X51,rdn_pos(X53)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])]) ).

fof(c_0_23,plain,
    ! [X22,X23,X24,X25] :
      ( ( accept_team(X22,X25,X23,X24)
        | ~ accept_number(X22,X24)
        | ~ accept_leader(X22,X25)
        | ~ accept_city(X22,X23) )
      & ( ~ accept_team(X22,X25,X23,X24)
        | accept_number(X22,X24) )
      & ( ~ accept_team(X22,X25,X23,X24)
        | accept_leader(X22,X25) )
      & ( ~ accept_team(X22,X25,X23,X24)
        | accept_city(X22,X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])])]) ).

fof(c_0_24,negated_conjecture,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

cnf(c_0_25,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_22]) ).

cnf(c_0_26,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn25]) ).

fof(c_0_27,plain,
    ! [X45,X46,X47] :
      ( rdn_positive_less(rdn(rdnn(X45),X46),rdn(rdnn(X47),X46))
      | ~ rdn_non_zero(X46)
      | ~ rdn_positive_less(rdnn(X45),rdnn(X47)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])])]) ).

fof(c_0_28,plain,
    ! [X67,X68,X69] :
      ( accept_leader(X67,X68)
      | ~ any_agent_in_all_proposed_teams(X67,X68,X69) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])])]) ).

fof(c_0_29,plain,
    ! [X26,X27,X28] :
      ( ( ~ the_agent_in_all_proposed_teams(X26,X27,X28)
        | accept_city(X26,X28) )
      & ( ~ the_agent_in_all_proposed_teams(X26,X27,X28)
        | accept_leader(X26,X27) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_4])])])]) ).

fof(c_0_30,plain,
    ! [X18] :
      ( ( ~ accept_city(X18,citya)
        | accept_population(X18,other,n0) )
      & ( ~ accept_city(X18,citya)
        | accept_population(X18,native,n0) )
      & ( ~ accept_city(X18,citya)
        | accept_population(X18,muslim,n0) )
      & ( ~ accept_city(X18,citya)
        | accept_population(X18,christian,n25) )
      & ( ~ accept_city(X18,citya)
        | accept_population(X18,atheist,n75) )
      & ( accept_city(X18,citya)
        | ~ accept_population(X18,other,n0)
        | ~ accept_population(X18,native,n0)
        | ~ accept_population(X18,muslim,n0)
        | ~ accept_population(X18,christian,n25)
        | ~ accept_population(X18,atheist,n75) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_10])])])]) ).

cnf(c_0_31,plain,
    ( ~ accept_team(X1,X3,X2,X4)
    | accept_city(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n2)))
    | less(X1,n25) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_34,plain,
    ( ~ rdn_non_zero(X3)
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_35,plain,
    ! [X29,X30,X31] :
      ( ~ accept_leader(X29,X30)
      | ~ accept_city(X29,X31)
      | ~ the_agent_not_in_any_proposed_teams(X29,X30,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])])]) ).

cnf(c_0_36,plain,
    ( ~ any_agent_in_all_proposed_teams(X1,X2,X3)
    | accept_leader(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(split_conjunct,[status(thm)],[event_249]) ).

fof(c_0_38,plain,
    ! [X36] :
      ( ( ~ accept_city(X36,townc)
        | accept_population(X36,other,n5) )
      & ( ~ accept_city(X36,townc)
        | accept_population(X36,native,n0) )
      & ( ~ accept_city(X36,townc)
        | accept_population(X36,muslim,n65) )
      & ( ~ accept_city(X36,townc)
        | accept_population(X36,christian,n0) )
      & ( ~ accept_city(X36,townc)
        | accept_population(X36,atheist,n30) )
      & ( accept_city(X36,townc)
        | ~ accept_population(X36,other,n5)
        | ~ accept_population(X36,native,n0)
        | ~ accept_population(X36,muslim,n65)
        | ~ accept_population(X36,christian,n0)
        | ~ accept_population(X36,atheist,n30) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_13])])])]) ).

cnf(c_0_39,plain,
    ( ~ the_agent_in_all_proposed_teams(X1,X3,X2)
    | accept_city(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,plain,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    inference(split_conjunct,[status(thm)],[event_104]) ).

fof(c_0_41,plain,
    ! [X79] :
      ( ( ~ accept_city(X79,cityb)
        | accept_population(X79,other,n1) )
      & ( ~ accept_city(X79,cityb)
        | accept_population(X79,native,n0) )
      & ( ~ accept_city(X79,cityb)
        | accept_population(X79,muslim,n1) )
      & ( ~ accept_city(X79,cityb)
        | accept_population(X79,christian,n20) )
      & ( ~ accept_city(X79,cityb)
        | accept_population(X79,atheist,n78) )
      & ( accept_city(X79,cityb)
        | ~ accept_population(X79,other,n1)
        | ~ accept_population(X79,native,n0)
        | ~ accept_population(X79,muslim,n1)
        | ~ accept_population(X79,christian,n20)
        | ~ accept_population(X79,atheist,n78) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_12])])])]) ).

cnf(c_0_42,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    inference(split_conjunct,[status(thm)],[event_8]) ).

fof(c_0_43,plain,
    ! [X32,X33,X34,X35] :
      ( accept_population(X32,X35,X34)
      | ~ less(X34,X33)
      | ~ accept_population(X32,X35,X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])])]) ).

cnf(c_0_44,plain,
    ( ~ accept_city(X1,citya)
    | accept_population(X1,christian,n25) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_45,negated_conjecture,
    accept_city(muslimcountrybhumanitarianorganization,citya),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_46,plain,
    ( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),rdnn(n2))))
    | ~ rdn_positive_less(rdnn(X2),rdnn(n5))
    | ~ rdn_non_zero(rdnn(n2))
    | less(X1,n25) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_47,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn24]) ).

cnf(c_0_48,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).

fof(c_0_49,plain,
    ! [X72] :
      ( rdn_non_zero(rdnn(X72))
      | ~ rdn_non_zero_digit(rdnn(X72)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])])]) ).

cnf(c_0_50,plain,
    ( ~ accept_leader(X1,X2)
    | ~ accept_city(X1,X3)
    | ~ the_agent_not_in_any_proposed_teams(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_51,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(split_conjunct,[status(thm)],[event_248]) ).

cnf(c_0_52,plain,
    accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_53,plain,
    ! [X37] :
      ( ( ~ accept_city(X37,towna)
        | accept_population(X37,other,n0) )
      & ( ~ accept_city(X37,towna)
        | accept_population(X37,native,n0) )
      & ( ~ accept_city(X37,towna)
        | accept_population(X37,muslim,n1) )
      & ( ~ accept_city(X37,towna)
        | accept_population(X37,christian,n24) )
      & ( ~ accept_city(X37,towna)
        | accept_population(X37,atheist,n75) )
      & ( accept_city(X37,towna)
        | ~ accept_population(X37,other,n0)
        | ~ accept_population(X37,native,n0)
        | ~ accept_population(X37,muslim,n1)
        | ~ accept_population(X37,christian,n24)
        | ~ accept_population(X37,atheist,n75) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])])]) ).

cnf(c_0_54,plain,
    ( ~ accept_city(X1,townc)
    | accept_population(X1,native,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_55,plain,
    accept_city(muslimcountrybhumanitarianorganization,townc),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_56,plain,
    ( ~ accept_city(X1,citya)
    | accept_population(X1,atheist,n75) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_57,plain,
    ( ~ accept_city(X1,cityb)
    | accept_population(X1,muslim,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_58,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(spm,[status(thm)],[c_0_31,c_0_42]) ).

cnf(c_0_59,plain,
    ( ~ accept_city(X1,citya)
    | accept_population(X1,other,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_60,plain,
    ( ~ less(X4,X3)
    | ~ accept_population(X1,X2,X3)
    | accept_population(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_61,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,christian,n25),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_62,plain,
    ( ~ rdn_non_zero(rdnn(n2))
    | less(n24,n25) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).

cnf(c_0_63,plain,
    ( ~ rdn_non_zero_digit(rdnn(X1))
    | rdn_non_zero(rdnn(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_64,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(split_conjunct,[status(thm)],[rdn_digit2]) ).

cnf(c_0_65,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).

cnf(c_0_66,plain,
    ( ~ accept_population(X1,other,n0)
    | ~ accept_population(X1,native,n0)
    | ~ accept_population(X1,muslim,n1)
    | ~ accept_population(X1,christian,n24)
    | ~ accept_population(X1,atheist,n75)
    | accept_city(X1,towna) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_67,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(spm,[status(thm)],[c_0_56,c_0_45]) ).

cnf(c_0_69,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_70,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(spm,[status(thm)],[c_0_59,c_0_45]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ less(X1,n25)
    | accept_population(muslimcountrybhumanitarianorganization,christian,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_72,plain,
    less(n24,n25),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).

cnf(c_0_73,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]),c_0_68]),c_0_69]),c_0_70])]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : AGT009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47  % Computer : n014.cluster.edu
% 0.20/0.47  % Model    : x86_64 x86_64
% 0.20/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47  % Memory   : 8046.5625MB
% 0.20/0.47  % OS       : Linux 6.8.0-71-generic
% 0.20/0.47  % CPULimit : 300
% 0.20/0.47  % WCLimit  : 300
% 0.20/0.47  % DateTime : Mon Sep 21 12:48:21 UTC 2026
% 0.20/0.47  % CPUTime  : 
% 0.20/0.47  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.57  Running first-order theorem proving
% 0.25/0.57  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
% 0.32/0.96  % Version: 3.5.1
% 0.32/0.96  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.32/0.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.96  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.32/0.96  % Starting new_bool_3 with 600s (2) cores
% 0.32/0.96  % Starting new_bool_1 with 600s (2) cores
% 0.32/0.96  % Starting sh5l with 300s (1) cores
% 0.32/0.96  % new_bool_1 with pid 4096663 completed with status 9
% 0.32/0.96  % sh5l with pid 4096664 completed with status 0
% 0.32/0.96  % Result found by sh5l
% 0.32/0.96  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.32/0.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.96  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.32/0.96  % Starting new_bool_3 with 600s (2) cores
% 0.32/0.96  % Starting new_bool_1 with 600s (2) cores
% 0.32/0.96  % Starting sh5l with 300s (1) cores
% 0.32/0.96  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.32/0.96  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.32/0.96  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.32/0.96  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.32/0.96  % Starting SubtermCWHack with 28s (1) cores
% 0.32/0.96  % SubtermCWHack with pid 4096672 completed with status 0
% 0.32/0.96  % Result found by SubtermCWHack
% 0.32/0.96  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.32/0.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.96  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.32/0.96  % Starting new_bool_3 with 600s (2) cores
% 0.32/0.96  % Starting new_bool_1 with 600s (2) cores
% 0.32/0.96  % Starting sh5l with 300s (1) cores
% 0.32/0.96  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.32/0.96  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.32/0.96  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.32/0.96  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.32/0.96  % Starting SubtermCWHack with 28s (1) cores
% 0.32/0.96  % Preprocessing time       : 0.006 s
% 0.32/0.96  
% 0.32/0.96  % Proof found!
% 0.32/0.96  % SZS status Theorem
% 0.32/0.96  % SZS output start CNFRefutation
% See solution above
% 0.32/0.96  % Parsed axioms                        : 556
% 0.32/0.96  % Removed by relevancy pruning/SinE    : 246
% 0.32/0.96  % Initial clauses                      : 353
% 0.32/0.96  % Removed in clause preprocessing      : 0
% 0.32/0.96  % Initial clauses in saturation        : 353
% 0.32/0.96  % Processed clauses                    : 2264
% 0.32/0.96  % ...of these trivial                  : 439
% 0.32/0.96  % ...subsumed                          : 42
% 0.32/0.96  % ...remaining for further processing  : 1783
% 0.32/0.96  % Other redundant clauses eliminated   : 2
% 0.32/0.96  % Clauses deleted for lack of memory   : 0
% 0.32/0.96  % Backward-subsumed                    : 4
% 0.32/0.96  % Backward-rewritten                   : 9
% 0.32/0.96  % Generated clauses                    : 13691
% 0.32/0.96  % ...of the previous two non-redundant : 7943
% 0.32/0.96  % ...aggressively subsumed             : 0
% 0.32/0.96  % Contextual simplify-reflections      : 0
% 0.32/0.96  % Paramodulations                      : 13687
% 0.32/0.96  % Factorizations                       : 2
% 0.32/0.96  % NegExts                              : 0
% 0.32/0.96  % Equation resolutions                 : 2
% 0.32/0.96  % Disequality decompositions           : 0
% 0.32/0.96  % Total rewrite steps                  : 10634
% 0.32/0.96  % ...of those cached                   : 9915
% 0.32/0.96  % Propositional unsat checks           : 0
% 0.32/0.96  %    Propositional check models        : 0
% 0.32/0.96  %    Propositional check unsatisfiable : 0
% 0.32/0.96  %    Propositional clauses             : 0
% 0.32/0.96  %    Propositional clauses after purity: 0
% 0.32/0.96  %    Propositional unsat core size     : 0
% 0.32/0.96  %    Propositional preprocessing time  : 0.000
% 0.32/0.96  %    Propositional encoding time       : 0.000
% 0.32/0.96  %    Propositional solver time         : 0.000
% 0.32/0.96  %    Success case prop preproc time    : 0.000
% 0.32/0.96  %    Success case prop encoding time   : 0.000
% 0.32/0.96  %    Success case prop solver time     : 0.000
% 0.32/0.96  % Current number of processed clauses  : 1768
% 0.32/0.96  %    Positive orientable unit clauses  : 1011
% 0.32/0.96  %    Positive unorientable unit clauses: 0
% 0.32/0.96  %    Negative unit clauses             : 100
% 0.32/0.96  %    Non-unit-clauses                  : 657
% 0.32/0.96  % Current number of unprocessed clauses: 6030
% 0.32/0.96  % ...number of literals in the above   : 18202
% 0.32/0.96  % Current number of archived formulas  : 0
% 0.32/0.96  % Current number of archived clauses   : 13
% 0.32/0.96  % Clause-clause subsumption calls (NU) : 23118
% 0.32/0.96  % Rec. Clause-clause subsumption calls : 21418
% 0.32/0.96  % Non-unit clause-clause subsumptions  : 23
% 0.32/0.96  % Unit Clause-clause subsumption calls : 10642
% 0.32/0.96  % Rewrite failures with RHS unbound    : 0
% 0.32/0.96  % BW rewrite match attempts            : 4810
% 0.32/0.96  % BW rewrite match successes           : 9
% 0.32/0.96  % Condensation attempts                : 0
% 0.32/0.96  % Condensation successes               : 0
% 0.32/0.96  % Termbank termtop insertions          : 136199
% 0.32/0.96  % Search garbage collected termcells   : 1951
% 0.32/0.96  
% 0.32/0.96  % -------------------------------------------------
% 0.32/0.96  % User time                : 0.287 s
% 0.32/0.96  % System time              : 0.019 s
% 0.32/0.96  % Total time               : 0.307 s
% 0.32/0.96  % Maximum resident set size: 5108 pages
% 0.32/0.96  
% 0.32/0.96  % -------------------------------------------------
% 0.32/0.96  % User time                : 0.610 s
% 0.32/0.96  % System time              : 0.102 s
% 0.32/0.96  % Total time               : 0.712 s
% 0.32/0.96  % Maximum resident set size: 5376 pages
% 0.32/0.96  % E exiting
%------------------------------------------------------------------------------