TSTP Solution File: AGT018+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : AGT018+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 16:59:20 EDT 2023

% Result   : Theorem 15.58s 2.81s
% Output   : CNFRefutation 15.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   94 (  46 unt;   0 def)
%            Number of atoms       :  236 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  239 (  97   ~;  90   |;  40   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 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   :  110 (   5 sgn;  63   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(rdn_positive_less_transitivity,axiom,
    ! [X7,X8,X9] :
      ( ( rdn_positive_less(rdnn(X7),rdnn(X8))
        & rdn_positive_less(rdnn(X8),rdnn(X9)) )
     => rdn_positive_less(rdnn(X7),rdnn(X9)) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_positive_less_transitivity) ).

fof(rdn_positive_less67,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_positive_less67) ).

fof(a1_1,axiom,
    ! [X1,X2,X3,X4] :
      ( accept_team(X1,X4,X2,X3)
    <=> ( accept_city(X1,X2)
        & accept_leader(X1,X4)
        & accept_number(X1,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a1_1) ).

fof(less_entry_point_pos_pos,axiom,
    ! [X7,X8,X16,X17] :
      ( ( rdn_translate(X7,rdn_pos(X16))
        & rdn_translate(X8,rdn_pos(X17))
        & rdn_positive_less(X16,X17) )
     => less(X7,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',less_entry_point_pos_pos) ).

fof(rdn_positive_less78,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_positive_less78) ).

fof(rdn_positive_less56,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_positive_less56) ).

fof(a2_12,axiom,
    ! [X1] :
      ( ( accept_population(X1,atheist,n78)
        & accept_population(X1,christian,n20)
        & accept_population(X1,muslim,n1)
        & accept_population(X1,native,n0)
        & accept_population(X1,other,n1) )
    <=> accept_city(X1,cityb) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a2_12) ).

fof(event_8,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',event_8) ).

fof(rdn78,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn78) ).

fof(rdn_positive_less_multi_digit_low,axiom,
    ! [X10,X14,X12] :
      ( ( rdn_positive_less(rdnn(X10),rdnn(X12))
        & rdn_non_zero(X14) )
     => rdn_positive_less(rdn(rdnn(X10),X14),rdn(rdnn(X12),X14)) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_positive_less_multi_digit_low) ).

fof(rdn_non_zero_by_digit,axiom,
    ! [X7] :
      ( rdn_non_zero_digit(rdnn(X7))
     => rdn_non_zero(rdnn(X7)) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_non_zero_by_digit) ).

fof(query_18,conjecture,
    ? [X7] : ~ accept_population(X7,christian,n24),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',query_18) ).

fof(a1_3,axiom,
    ! [X1,X3,X5,X6] :
      ( ( accept_population(X1,X6,X3)
        & less(X5,X3) )
     => accept_population(X1,X6,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a1_3) ).

fof(rdn75,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn75) ).

fof(rdn_digit7,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_digit7) ).

fof(a1_4,axiom,
    ! [X1,X4,X2] :
      ( the_agent_in_all_proposed_teams(X1,X4,X2)
     => ( accept_leader(X1,X4)
        & accept_city(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a1_4) ).

fof(rdn1,axiom,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn1) ).

fof(a2_9,axiom,
    ! [X1] :
      ( ( accept_population(X1,atheist,n75)
        & accept_population(X1,christian,n24)
        & accept_population(X1,muslim,n1)
        & accept_population(X1,native,n0)
        & accept_population(X1,other,n0) )
    <=> accept_city(X1,towna) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a2_9) ).

fof(a2_13,axiom,
    ! [X1] :
      ( ( accept_population(X1,atheist,n30)
        & accept_population(X1,christian,n0)
        & accept_population(X1,muslim,n65)
        & accept_population(X1,native,n0)
        & accept_population(X1,other,n5) )
    <=> accept_city(X1,townc) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a2_13) ).

fof(event_104,axiom,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',event_104) ).

fof(rdn0,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn0) ).

fof(rdn_positive_less01,axiom,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',rdn_positive_less01) ).

fof(a1_6,axiom,
    ! [X1,X4,X2] :
      ( the_agent_not_in_any_proposed_teams(X1,X4,X2)
     => ~ ( accept_city(X1,X2)
          & accept_leader(X1,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a1_6) ).

fof(a1_5,axiom,
    ! [X1,X4,X2] :
      ( any_agent_in_all_proposed_teams(X1,X4,X2)
     => accept_leader(X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',a1_5) ).

fof(event_249,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',event_249) ).

fof(event_248,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    file('/export/starexec/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p',event_248) ).

fof(c_0_26,plain,
    ! [X57,X58,X59] :
      ( ~ rdn_positive_less(rdnn(X57),rdnn(X58))
      | ~ rdn_positive_less(rdnn(X58),rdnn(X59))
      | rdn_positive_less(rdnn(X57),rdnn(X59)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])]) ).

cnf(c_0_27,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X2),rdnn(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_28,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less67]) ).

fof(c_0_29,plain,
    ! [X44,X45,X46,X47] :
      ( ( accept_city(X44,X45)
        | ~ accept_team(X44,X47,X45,X46) )
      & ( accept_leader(X44,X47)
        | ~ accept_team(X44,X47,X45,X46) )
      & ( accept_number(X44,X46)
        | ~ accept_team(X44,X47,X45,X46) )
      & ( ~ accept_city(X44,X45)
        | ~ accept_leader(X44,X47)
        | ~ accept_number(X44,X46)
        | accept_team(X44,X47,X45,X46) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])]) ).

fof(c_0_30,plain,
    ! [X28,X29,X30,X31] :
      ( ~ rdn_translate(X28,rdn_pos(X30))
      | ~ rdn_translate(X29,rdn_pos(X31))
      | ~ rdn_positive_less(X30,X31)
      | less(X28,X29) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).

cnf(c_0_31,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less78]) ).

cnf(c_0_32,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n7))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less56]) ).

fof(c_0_34,plain,
    ! [X77] :
      ( ( ~ accept_population(X77,atheist,n78)
        | ~ accept_population(X77,christian,n20)
        | ~ accept_population(X77,muslim,n1)
        | ~ accept_population(X77,native,n0)
        | ~ accept_population(X77,other,n1)
        | accept_city(X77,cityb) )
      & ( accept_population(X77,atheist,n78)
        | ~ accept_city(X77,cityb) )
      & ( accept_population(X77,christian,n20)
        | ~ accept_city(X77,cityb) )
      & ( accept_population(X77,muslim,n1)
        | ~ accept_city(X77,cityb) )
      & ( accept_population(X77,native,n0)
        | ~ accept_city(X77,cityb) )
      & ( accept_population(X77,other,n1)
        | ~ accept_city(X77,cityb) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_12])])]) ).

cnf(c_0_35,plain,
    ( accept_city(X1,X2)
    | ~ accept_team(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
    inference(split_conjunct,[status(thm)],[event_8]) ).

cnf(c_0_37,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn78]) ).

fof(c_0_39,plain,
    ! [X64,X65,X66] :
      ( ~ rdn_positive_less(rdnn(X64),rdnn(X66))
      | ~ rdn_non_zero(X65)
      | rdn_positive_less(rdn(rdnn(X64),X65),rdn(rdnn(X66),X65)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])]) ).

cnf(c_0_40,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n8))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_31]) ).

cnf(c_0_41,plain,
    rdn_positive_less(rdnn(n5),rdnn(n7)),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_42,plain,
    ! [X78] :
      ( ~ rdn_non_zero_digit(rdnn(X78))
      | rdn_non_zero(rdnn(X78)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).

fof(c_0_43,negated_conjecture,
    ~ ? [X7] : ~ accept_population(X7,christian,n24),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_18])]) ).

fof(c_0_44,plain,
    ! [X19,X20,X21,X22] :
      ( ~ accept_population(X19,X22,X20)
      | ~ less(X21,X20)
      | accept_population(X19,X22,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])]) ).

cnf(c_0_45,plain,
    ( accept_population(X1,atheist,n78)
    | ~ accept_city(X1,cityb) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_46,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_47,plain,
    ( less(X1,n78)
    | ~ rdn_positive_less(X2,rdn(rdnn(n8),rdnn(n7)))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_48,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn75]) ).

cnf(c_0_49,plain,
    ( rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_non_zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_50,plain,
    rdn_positive_less(rdnn(n5),rdnn(n8)),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_51,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(split_conjunct,[status(thm)],[rdn_digit7]) ).

fof(c_0_53,plain,
    ! [X48,X49,X50] :
      ( ( accept_leader(X48,X49)
        | ~ the_agent_in_all_proposed_teams(X48,X49,X50) )
      & ( accept_city(X48,X50)
        | ~ the_agent_in_all_proposed_teams(X48,X49,X50) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_4])])]) ).

cnf(c_0_54,plain,
    ( accept_population(X1,other,n1)
    | ~ accept_city(X1,cityb) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_55,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(split_conjunct,[status(thm)],[rdn1]) ).

fof(c_0_56,plain,
    ! [X23] :
      ( ( ~ accept_population(X23,atheist,n75)
        | ~ accept_population(X23,christian,n24)
        | ~ accept_population(X23,muslim,n1)
        | ~ accept_population(X23,native,n0)
        | ~ accept_population(X23,other,n0)
        | accept_city(X23,towna) )
      & ( accept_population(X23,atheist,n75)
        | ~ accept_city(X23,towna) )
      & ( accept_population(X23,christian,n24)
        | ~ accept_city(X23,towna) )
      & ( accept_population(X23,muslim,n1)
        | ~ accept_city(X23,towna) )
      & ( accept_population(X23,native,n0)
        | ~ accept_city(X23,towna) )
      & ( accept_population(X23,other,n0)
        | ~ accept_city(X23,towna) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])]) ).

fof(c_0_57,negated_conjecture,
    ! [X18] : accept_population(X18,christian,n24),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).

cnf(c_0_58,plain,
    ( accept_population(X1,X2,X4)
    | ~ accept_population(X1,X2,X3)
    | ~ less(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_59,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_60,plain,
    ( less(n75,n78)
    | ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_61,plain,
    ( rdn_positive_less(rdn(rdnn(n5),X1),rdn(rdnn(n8),X1))
    | ~ rdn_non_zero(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_62,plain,
    rdn_non_zero(rdnn(n7)),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_63,plain,
    ! [X24] :
      ( ( ~ accept_population(X24,atheist,n30)
        | ~ accept_population(X24,christian,n0)
        | ~ accept_population(X24,muslim,n65)
        | ~ accept_population(X24,native,n0)
        | ~ accept_population(X24,other,n5)
        | accept_city(X24,townc) )
      & ( accept_population(X24,atheist,n30)
        | ~ accept_city(X24,townc) )
      & ( accept_population(X24,christian,n0)
        | ~ accept_city(X24,townc) )
      & ( accept_population(X24,muslim,n65)
        | ~ accept_city(X24,townc) )
      & ( accept_population(X24,native,n0)
        | ~ accept_city(X24,townc) )
      & ( accept_population(X24,other,n5)
        | ~ accept_city(X24,townc) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_13])])]) ).

cnf(c_0_64,plain,
    ( accept_city(X1,X2)
    | ~ the_agent_in_all_proposed_teams(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_65,plain,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    inference(split_conjunct,[status(thm)],[event_104]) ).

cnf(c_0_66,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n1),
    inference(spm,[status(thm)],[c_0_54,c_0_46]) ).

cnf(c_0_67,plain,
    ( less(X1,n1)
    | ~ rdn_positive_less(X2,rdnn(n1))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_55]) ).

cnf(c_0_68,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(split_conjunct,[status(thm)],[rdn0]) ).

cnf(c_0_69,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).

cnf(c_0_70,plain,
    ( accept_city(X1,towna)
    | ~ accept_population(X1,atheist,n75)
    | ~ accept_population(X1,christian,n24)
    | ~ accept_population(X1,muslim,n1)
    | ~ accept_population(X1,native,n0)
    | ~ accept_population(X1,other,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_71,negated_conjecture,
    accept_population(X1,christian,n24),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_72,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
    | ~ less(X1,n78) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_73,plain,
    less(n75,n78),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_74,plain,
    ( accept_population(X1,muslim,n1)
    | ~ accept_city(X1,cityb) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_75,plain,
    ( accept_population(X1,native,n0)
    | ~ accept_city(X1,townc) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_76,plain,
    accept_city(muslimcountrybhumanitarianorganization,townc),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_77,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,other,X1)
    | ~ less(X1,n1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_66]) ).

cnf(c_0_78,plain,
    less(n0,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).

fof(c_0_79,plain,
    ! [X51,X52,X53] :
      ( ~ the_agent_not_in_any_proposed_teams(X51,X52,X53)
      | ~ accept_city(X51,X53)
      | ~ accept_leader(X51,X52) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])]) ).

cnf(c_0_80,plain,
    ( accept_city(X1,towna)
    | ~ accept_population(X1,atheist,n75)
    | ~ accept_population(X1,muslim,n1)
    | ~ accept_population(X1,native,n0)
    | ~ accept_population(X1,other,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_81,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_82,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(spm,[status(thm)],[c_0_74,c_0_46]) ).

cnf(c_0_83,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

fof(c_0_85,plain,
    ! [X73,X74,X75] :
      ( ~ any_agent_in_all_proposed_teams(X73,X74,X75)
      | accept_leader(X73,X74) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])]) ).

cnf(c_0_86,plain,
    ( ~ the_agent_not_in_any_proposed_teams(X1,X2,X3)
    | ~ accept_city(X1,X3)
    | ~ accept_leader(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_87,plain,
    accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]),c_0_84])]) ).

cnf(c_0_88,plain,
    ( accept_leader(X1,X2)
    | ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_89,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(split_conjunct,[status(thm)],[event_249]) ).

cnf(c_0_90,plain,
    ( ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,X1,towna)
    | ~ accept_leader(muslimcountrybhumanitarianorganization,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_91,plain,
    accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_92,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
    inference(split_conjunct,[status(thm)],[event_248]) ).

cnf(c_0_93,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem    : AGT018+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.17  % Command    : run_E %s %d THM
% 0.16/0.38  % Computer : n002.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 2400
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon Oct  2 22:18:29 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.55  Running first-order theorem proving
% 0.23/0.55  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.80XipKDhES/E---3.1_29461.p
% 15.58/2.81  # Version: 3.1pre001
% 15.58/2.81  # Preprocessing class: FSLMSMSLSSSNFFN.
% 15.58/2.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.58/2.81  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 15.58/2.81  # Starting new_bool_3 with 600s (2) cores
% 15.58/2.81  # Starting new_bool_1 with 600s (2) cores
% 15.58/2.81  # Starting sh5l with 300s (1) cores
% 15.58/2.81  # sh5l with pid 29549 completed with status 0
% 15.58/2.81  # Result found by sh5l
% 15.58/2.81  # Preprocessing class: FSLMSMSLSSSNFFN.
% 15.58/2.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.58/2.81  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 15.58/2.81  # Starting new_bool_3 with 600s (2) cores
% 15.58/2.81  # Starting new_bool_1 with 600s (2) cores
% 15.58/2.81  # Starting sh5l with 300s (1) cores
% 15.58/2.81  # SinE strategy is gf500_gu_R04_F100_L20000
% 15.58/2.81  # Search class: FGHSF-FSLM21-MFFFFFNN
% 15.58/2.81  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 15.58/2.81  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 15.58/2.81  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 29554 completed with status 0
% 15.58/2.81  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 15.58/2.81  # Preprocessing class: FSLMSMSLSSSNFFN.
% 15.58/2.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.58/2.81  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 15.58/2.81  # Starting new_bool_3 with 600s (2) cores
% 15.58/2.81  # Starting new_bool_1 with 600s (2) cores
% 15.58/2.81  # Starting sh5l with 300s (1) cores
% 15.58/2.81  # SinE strategy is gf500_gu_R04_F100_L20000
% 15.58/2.81  # Search class: FGHSF-FSLM21-MFFFFFNN
% 15.58/2.81  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 15.58/2.81  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 15.58/2.81  # Preprocessing time       : 0.004 s
% 15.58/2.81  # Presaturation interreduction done
% 15.58/2.81  
% 15.58/2.81  # Proof found!
% 15.58/2.81  # SZS status Theorem
% 15.58/2.81  # SZS output start CNFRefutation
% See solution above
% 15.58/2.81  # Parsed axioms                        : 556
% 15.58/2.81  # Removed by relevancy pruning/SinE    : 242
% 15.58/2.81  # Initial clauses                      : 367
% 15.58/2.81  # Removed in clause preprocessing      : 0
% 15.58/2.81  # Initial clauses in saturation        : 367
% 15.58/2.81  # Processed clauses                    : 21453
% 15.58/2.81  # ...of these trivial                  : 11678
% 15.58/2.81  # ...subsumed                          : 1992
% 15.58/2.81  # ...remaining for further processing  : 7783
% 15.58/2.81  # Other redundant clauses eliminated   : 2
% 15.58/2.81  # Clauses deleted for lack of memory   : 0
% 15.58/2.81  # Backward-subsumed                    : 454
% 15.58/2.81  # Backward-rewritten                   : 432
% 15.58/2.81  # Generated clauses                    : 301911
% 15.58/2.81  # ...of the previous two non-redundant : 29319
% 15.58/2.81  # ...aggressively subsumed             : 0
% 15.58/2.81  # Contextual simplify-reflections      : 0
% 15.58/2.81  # Paramodulations                      : 301900
% 15.58/2.81  # Factorizations                       : 2
% 15.58/2.81  # NegExts                              : 0
% 15.58/2.81  # Equation resolutions                 : 2
% 15.58/2.81  # Total rewrite steps                  : 431453
% 15.58/2.81  # Propositional unsat checks           : 0
% 15.58/2.81  #    Propositional check models        : 0
% 15.58/2.81  #    Propositional check unsatisfiable : 0
% 15.58/2.81  #    Propositional clauses             : 0
% 15.58/2.81  #    Propositional clauses after purity: 0
% 15.58/2.81  #    Propositional unsat core size     : 0
% 15.58/2.81  #    Propositional preprocessing time  : 0.000
% 15.58/2.81  #    Propositional encoding time       : 0.000
% 15.58/2.81  #    Propositional solver time         : 0.000
% 15.58/2.81  #    Success case prop preproc time    : 0.000
% 15.58/2.81  #    Success case prop encoding time   : 0.000
% 15.58/2.81  #    Success case prop solver time     : 0.000
% 15.58/2.81  # Current number of processed clauses  : 6522
% 15.58/2.81  #    Positive orientable unit clauses  : 2895
% 15.58/2.81  #    Positive unorientable unit clauses: 0
% 15.58/2.81  #    Negative unit clauses             : 533
% 15.58/2.81  #    Non-unit-clauses                  : 3094
% 15.58/2.81  # Current number of unprocessed clauses: 6018
% 15.58/2.81  # ...number of literals in the above   : 21085
% 15.58/2.81  # Current number of archived formulas  : 0
% 15.58/2.81  # Current number of archived clauses   : 1259
% 15.58/2.81  # Clause-clause subsumption calls (NU) : 1182734
% 15.58/2.81  # Rec. Clause-clause subsumption calls : 900174
% 15.58/2.81  # Non-unit clause-clause subsumptions  : 2054
% 15.58/2.81  # Unit Clause-clause subsumption calls : 236992
% 15.58/2.81  # Rewrite failures with RHS unbound    : 0
% 15.58/2.81  # BW rewrite match attempts            : 27295
% 15.58/2.81  # BW rewrite match successes           : 243
% 15.58/2.81  # Condensation attempts                : 0
% 15.58/2.81  # Condensation successes               : 0
% 15.58/2.81  # Termbank termtop insertions          : 2720422
% 15.58/2.81  
% 15.58/2.81  # -------------------------------------------------
% 15.58/2.81  # User time                : 2.108 s
% 15.58/2.81  # System time              : 0.034 s
% 15.58/2.81  # Total time               : 2.142 s
% 15.58/2.81  # Maximum resident set size: 3128 pages
% 15.58/2.81  
% 15.58/2.81  # -------------------------------------------------
% 15.58/2.81  # User time                : 2.116 s
% 15.58/2.81  # System time              : 0.038 s
% 15.58/2.81  # Total time               : 2.153 s
% 15.58/2.81  # Maximum resident set size: 2120 pages
% 15.58/2.81  % E---3.1 exiting
% 15.58/2.82  % E---3.1 exiting
%------------------------------------------------------------------------------