TSTP Solution File: AGT019+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : AGT019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 10:09:06 EDT 2024

% Result   : Theorem 72.32s 10.76s
% Output   : Refutation 72.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  110 (  45 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  360 ( 139   ~; 120   |;  79   &)
%                                         (   6 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-4 aty)
%            Number of functors    :   32 (  32 usr;  29 con; 0-2 aty)
%            Number of variables   :  166 ( 160   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1053808,plain,
    $false,
    inference(subsumption_resolution,[],[f1053802,f268522]) ).

fof(f268522,plain,
    rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
    inference(unit_resulting_resolution,[],[f1268,f111423,f1247]) ).

fof(f1247,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_non_zero(X1)
      | rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
    inference(cnf_transformation,[],[f592]) ).

fof(f592,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_non_zero(X1)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(flattening,[],[f591]) ).

fof(f591,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
      | ~ rdn_non_zero(X1)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
    inference(ennf_transformation,[],[f570]) ).

fof(f570,plain,
    ! [X0,X1,X2] :
      ( ( rdn_non_zero(X1)
        & rdn_positive_less(rdnn(X0),rdnn(X2)) )
     => rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
    inference(rectify,[],[f546]) ).

fof(f546,axiom,
    ! [X9,X13,X11] :
      ( ( rdn_non_zero(X13)
        & rdn_positive_less(rdnn(X9),rdnn(X11)) )
     => rdn_positive_less(rdn(rdnn(X9),X13),rdn(rdnn(X11),X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).

fof(f111423,plain,
    rdn_positive_less(rdnn(n5),rdnn(n8)),
    inference(unit_resulting_resolution,[],[f786,f96325,f1248]) ).

fof(f1248,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(cnf_transformation,[],[f594]) ).

fof(f594,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(flattening,[],[f593]) ).

fof(f593,plain,
    ! [X0,X1,X2] :
      ( rdn_positive_less(rdnn(X0),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(ennf_transformation,[],[f571]) ).

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(rectify,[],[f544]) ).

fof(f544,axiom,
    ! [X6,X7,X8] :
      ( ( rdn_positive_less(rdnn(X7),rdnn(X8))
        & rdn_positive_less(rdnn(X6),rdnn(X7)) )
     => rdn_positive_less(rdnn(X6),rdnn(X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).

fof(f96325,plain,
    rdn_positive_less(rdnn(n6),rdnn(n8)),
    inference(unit_resulting_resolution,[],[f789,f782,f1248]) ).

fof(f782,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(cnf_transformation,[],[f542]) ).

fof(f542,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).

fof(f789,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(cnf_transformation,[],[f541]) ).

fof(f541,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).

fof(f786,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f540]) ).

fof(f540,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).

fof(f1268,plain,
    rdn_non_zero(rdnn(n7)),
    inference(unit_resulting_resolution,[],[f636,f1158]) ).

fof(f1158,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f582]) ).

fof(f582,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f559]) ).

fof(f559,plain,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    inference(rectify,[],[f548]) ).

fof(f548,axiom,
    ! [X6] :
      ( rdn_non_zero_digit(rdnn(X6))
     => rdn_non_zero(rdnn(X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).

fof(f636,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(cnf_transformation,[],[f532]) ).

fof(f532,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).

fof(f1053802,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
    inference(unit_resulting_resolution,[],[f1096,f210180,f1263]) ).

fof(f1263,plain,
    ! [X2,X3,X0] :
      ( ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | sP2(X0,X3) ),
    inference(cnf_transformation,[],[f1263_D]) ).

fof(f1263_D,plain,
    ! [X3,X0] :
      ( ! [X2] :
          ( ~ rdn_positive_less(X2,X3)
          | ~ rdn_translate(X0,rdn_pos(X2)) )
    <=> ~ sP2(X0,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f210180,plain,
    ~ sP2(n75,rdn(rdnn(n8),rdnn(n7))),
    inference(unit_resulting_resolution,[],[f1082,f210178,f1264]) ).

fof(f1264,plain,
    ! [X3,X0,X1] :
      ( ~ sP2(X0,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | less(X0,X1) ),
    inference(general_splitting,[],[f1251,f1263_D]) ).

fof(f1251,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f599]) ).

fof(f599,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(flattening,[],[f598]) ).

fof(f598,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f574]) ).

fof(f574,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X2,X3)
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_pos(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f550]) ).

fof(f550,axiom,
    ! [X6,X7,X15,X16] :
      ( ( rdn_positive_less(X15,X16)
        & rdn_translate(X7,rdn_pos(X16))
        & rdn_translate(X6,rdn_pos(X15)) )
     => less(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f210178,plain,
    ~ less(n75,n78),
    inference(unit_resulting_resolution,[],[f208989,f41928,f1253]) ).

fof(f1253,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_population(X0,X3,X1)
      | ~ less(X2,X1)
      | accept_population(X0,X3,X2) ),
    inference(cnf_transformation,[],[f603]) ).

fof(f603,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(flattening,[],[f602]) ).

fof(f602,plain,
    ! [X0,X1,X2,X3] :
      ( accept_population(X0,X3,X2)
      | ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1) ),
    inference(ennf_transformation,[],[f576]) ).

fof(f576,plain,
    ! [X0,X1,X2,X3] :
      ( ( less(X2,X1)
        & accept_population(X0,X3,X1) )
     => accept_population(X0,X3,X2) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X2,X4,X5] :
      ( ( less(X4,X2)
        & accept_population(X0,X5,X2) )
     => accept_population(X0,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).

fof(f41928,plain,
    accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
    inference(unit_resulting_resolution,[],[f41677,f1172]) ).

fof(f1172,plain,
    ! [X0] :
      ( ~ accept_city(X0,cityb)
      | accept_population(X0,atheist,n78) ),
    inference(cnf_transformation,[],[f609]) ).

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(flattening,[],[f608]) ).

fof(f608,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(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/sandbox/benchmark/theBenchmark.p',a2_12) ).

fof(f41677,plain,
    accept_city(muslimcountrybhumanitarianorganization,cityb),
    inference(unit_resulting_resolution,[],[f865,f1254]) ).

fof(f1254,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_team(X0,X3,X1,X2)
      | accept_city(X0,X1) ),
    inference(cnf_transformation,[],[f633]) ).

fof(f633,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,[],[f632]) ).

fof(f632,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(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/sandbox/benchmark/theBenchmark.p',a1_1) ).

fof(f865,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,axiom,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_173) ).

fof(f208989,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
    inference(subsumption_resolution,[],[f208988,f41926]) ).

fof(f41926,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(unit_resulting_resolution,[],[f41677,f1174]) ).

fof(f1174,plain,
    ! [X0] :
      ( ~ accept_city(X0,cityb)
      | accept_population(X0,muslim,n1) ),
    inference(cnf_transformation,[],[f609]) ).

fof(f208988,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(subsumption_resolution,[],[f208987,f1583]) ).

fof(f1583,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(unit_resulting_resolution,[],[f1429,f1211]) ).

fof(f1211,plain,
    ! [X0] :
      ( ~ accept_city(X0,townc)
      | accept_population(X0,native,n0) ),
    inference(cnf_transformation,[],[f621]) ).

fof(f621,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,[],[f620]) ).

fof(f620,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(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/sandbox/benchmark/theBenchmark.p',a2_13) ).

fof(f1429,plain,
    accept_city(muslimcountrybhumanitarianorganization,townc),
    inference(unit_resulting_resolution,[],[f697,f1244]) ).

fof(f1244,plain,
    ! [X2,X0,X1] :
      ( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f587]) ).

fof(f587,plain,
    ! [X0,X1,X2] :
      ( ( accept_city(X0,X2)
        & accept_leader(X0,X1) )
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f566]) ).

fof(f566,plain,
    ! [X0,X1,X2] :
      ( the_agent_in_all_proposed_teams(X0,X1,X2)
     => ( accept_city(X0,X2)
        & accept_leader(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X3,X1] :
      ( the_agent_in_all_proposed_teams(X0,X3,X1)
     => ( accept_city(X0,X1)
        & accept_leader(X0,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_4) ).

fof(f697,plain,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,axiom,
    the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_104) ).

fof(f208987,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(subsumption_resolution,[],[f208981,f59565]) ).

fof(f59565,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(unit_resulting_resolution,[],[f1694,f683,f1242]) ).

fof(f1242,plain,
    ! [X2,X0,X1] :
      ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
      | ~ accept_city(X0,X2)
      | ~ accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f586,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(flattening,[],[f585]) ).

fof(f585,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f565]) ).

fof(f565,plain,
    ! [X0,X1,X2] :
      ( the_agent_not_in_any_proposed_teams(X0,X1,X2)
     => ~ ( accept_leader(X0,X1)
          & accept_city(X0,X2) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X3,X1] :
      ( the_agent_not_in_any_proposed_teams(X0,X3,X1)
     => ~ ( accept_leader(X0,X3)
          & accept_city(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).

fof(f683,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f31]) ).

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

fof(f1694,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(unit_resulting_resolution,[],[f726,f1245]) ).

fof(f1245,plain,
    ! [X2,X0,X1] :
      ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f588]) ).

fof(f588,plain,
    ! [X0,X1,X2] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f567]) ).

fof(f567,plain,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X3,X1] :
      ( any_agent_in_all_proposed_teams(X0,X3,X1)
     => accept_leader(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).

fof(f726,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f32]) ).

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

fof(f208981,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(resolution,[],[f41914,f1267]) ).

fof(f1267,plain,
    ! [X0] :
      ( ~ accept_population(X0,other,n0)
      | accept_city(X0,towna)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,atheist,n75) ),
    inference(subsumption_resolution,[],[f1189,f634]) ).

fof(f634,plain,
    ! [X0,X1] : accept_population(X0,X1,n24),
    inference(cnf_transformation,[],[f581]) ).

fof(f581,plain,
    ! [X0,X1] : accept_population(X0,X1,n24),
    inference(ennf_transformation,[],[f558]) ).

fof(f558,plain,
    ~ ? [X0,X1] : ~ accept_population(X0,X1,n24),
    inference(rectify,[],[f557]) ).

fof(f557,negated_conjecture,
    ~ ? [X6,X7] : ~ accept_population(X6,X7,n24),
    inference(negated_conjecture,[],[f556]) ).

fof(f556,conjecture,
    ? [X6,X7] : ~ accept_population(X6,X7,n24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_19) ).

fof(f1189,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,atheist,n75) ),
    inference(cnf_transformation,[],[f615]) ).

fof(f615,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,[],[f614]) ).

fof(f614,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(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/sandbox/benchmark/theBenchmark.p',a2_9) ).

fof(f41914,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(unit_resulting_resolution,[],[f41674,f1182]) ).

fof(f1182,plain,
    ! [X0] :
      ( ~ accept_city(X0,coastvillage)
      | accept_population(X0,other,n0) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f611,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n85)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n3)
          & accept_population(X0,atheist,n12) )
        | ~ accept_city(X0,coastvillage) )
      & ( accept_city(X0,coastvillage)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n85)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n3)
        | ~ accept_population(X0,atheist,n12) ) ),
    inference(flattening,[],[f610]) ).

fof(f610,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n85)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n3)
          & accept_population(X0,atheist,n12) )
        | ~ accept_city(X0,coastvillage) )
      & ( accept_city(X0,coastvillage)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n85)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n3)
        | ~ accept_population(X0,atheist,n12) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n0)
        & accept_population(X0,native,n85)
        & accept_population(X0,muslim,n0)
        & accept_population(X0,christian,n3)
        & accept_population(X0,atheist,n12) )
    <=> accept_city(X0,coastvillage) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_7) ).

fof(f41674,plain,
    accept_city(muslimcountrybhumanitarianorganization,coastvillage),
    inference(unit_resulting_resolution,[],[f861,f1254]) ).

fof(f861,plain,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,axiom,
    accept_team(muslimcountrybhumanitarianorganization,christiancountrychumanitarianorganization,coastvillage,n6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_97) ).

fof(f1082,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(cnf_transformation,[],[f348]) ).

fof(f348,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).

fof(f1096,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(cnf_transformation,[],[f345]) ).

fof(f345,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : AGT019+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 03:17:20 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  % (5019)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39  % (5022)WARNING: value z3 for option sas not known
% 0.20/0.39  % (5025)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.39  % (5022)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.39  % (5026)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.39  % (5020)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39  % (5023)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39  % (5021)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39  % (5024)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.43  TRYING [1]
% 0.20/0.43  TRYING [2]
% 0.20/0.46  TRYING [1]
% 0.20/0.47  TRYING [2]
% 0.20/0.48  TRYING [3]
% 1.29/0.56  TRYING [3]
% 2.29/0.69  TRYING [4]
% 3.40/0.89  TRYING [4]
% 5.29/1.12  TRYING [5]
% 7.70/1.52  TRYING [1]
% 7.70/1.53  TRYING [2]
% 8.43/1.59  TRYING [3]
% 9.80/1.78  TRYING [4]
% 11.29/2.03  TRYING [6]
% 12.29/2.14  TRYING [5]
% 16.84/2.80  TRYING [6]
% 23.78/3.76  TRYING [7]
% 27.07/4.26  TRYING [7]
% 34.89/5.37  TRYING [5]
% 44.34/6.72  TRYING [8]
% 47.71/7.21  TRYING [8]
% 63.83/9.56  TRYING [9]
% 72.32/10.74  % (5026)First to succeed.
% 72.32/10.76  % (5026)Refutation found. Thanks to Tanya!
% 72.32/10.76  % SZS status Theorem for theBenchmark
% 72.32/10.76  % SZS output start Proof for theBenchmark
% See solution above
% 72.32/10.76  % (5026)------------------------------
% 72.32/10.76  % (5026)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 72.32/10.76  % (5026)Termination reason: Refutation
% 72.32/10.76  
% 72.32/10.76  % (5026)Memory used [KB]: 97830
% 72.32/10.76  % (5026)Time elapsed: 10.365 s
% 72.32/10.76  % (5026)Instructions burned: 22475 (million)
% 72.32/10.76  % (5026)------------------------------
% 72.32/10.76  % (5026)------------------------------
% 72.32/10.76  % (5019)Success in time 10.289 s
%------------------------------------------------------------------------------