TSTP Solution File: AGT023+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : AGT023+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 : n031.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 10:09:07 EDT 2024

% Result   : Theorem 75.35s 11.21s
% Output   : Refutation 75.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   87 (  34 unt;   0 def)
%            Number of atoms       :  264 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  293 ( 116   ~; 100   |;  60   &)
%                                         (   5 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-4 aty)
%            Number of functors    :   25 (  25 usr;  22 con; 0-2 aty)
%            Number of variables   :  138 ( 135   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1004896,plain,
    $false,
    inference(subsumption_resolution,[],[f1004892,f217940]) ).

fof(f217940,plain,
    ~ sP2(n24,rdn(rdnn(n5),rdnn(n2))),
    inference(unit_resulting_resolution,[],[f1091,f217801,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(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(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(f217801,plain,
    ~ less(n24,n25),
    inference(unit_resulting_resolution,[],[f1270,f217665,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(f217665,plain,
    ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
    inference(unit_resulting_resolution,[],[f59707,f41661,f1274]) ).

fof(f1274,plain,
    ! [X0] :
      ( ~ accept_population(X0,muslim,n1)
      | accept_city(X0,towna)
      | ~ accept_population(X0,christian,n24) ),
    inference(subsumption_resolution,[],[f1273,f1271]) ).

fof(f1271,plain,
    ! [X0] : accept_population(X0,atheist,n75),
    inference(subsumption_resolution,[],[f1184,f634]) ).

fof(f634,plain,
    ! [X0] : accept_city(X0,citya),
    inference(cnf_transformation,[],[f581]) ).

fof(f581,plain,
    ! [X0] : accept_city(X0,citya),
    inference(ennf_transformation,[],[f558]) ).

fof(f558,plain,
    ~ ? [X0] : ~ accept_city(X0,citya),
    inference(rectify,[],[f557]) ).

fof(f557,negated_conjecture,
    ~ ? [X6] : ~ accept_city(X6,citya),
    inference(negated_conjecture,[],[f556]) ).

fof(f556,conjecture,
    ? [X6] : ~ accept_city(X6,citya),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_23) ).

fof(f1184,plain,
    ! [X0] :
      ( accept_population(X0,atheist,n75)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f613,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n25)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,citya) )
      & ( accept_city(X0,citya)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n25)
        | ~ accept_population(X0,atheist,n75) ) ),
    inference(flattening,[],[f612]) ).

fof(f612,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n0)
          & accept_population(X0,christian,n25)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,citya) )
      & ( accept_city(X0,citya)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n0)
        | ~ accept_population(X0,christian,n25)
        | ~ accept_population(X0,atheist,n75) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n0)
        & accept_population(X0,native,n0)
        & accept_population(X0,muslim,n0)
        & accept_population(X0,christian,n25)
        & accept_population(X0,atheist,n75) )
    <=> accept_city(X0,citya) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_10) ).

fof(f1273,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,atheist,n75) ),
    inference(subsumption_resolution,[],[f1272,f1268]) ).

fof(f1268,plain,
    ! [X0] : accept_population(X0,native,n0),
    inference(subsumption_resolution,[],[f1187,f634]) ).

fof(f1187,plain,
    ! [X0] :
      ( accept_population(X0,native,n0)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f1272,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,atheist,n75) ),
    inference(subsumption_resolution,[],[f1189,f1267]) ).

fof(f1267,plain,
    ! [X0] : accept_population(X0,other,n0),
    inference(subsumption_resolution,[],[f1188,f634]) ).

fof(f1188,plain,
    ! [X0] :
      ( accept_population(X0,other,n0)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f613]) ).

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(f41661,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(unit_resulting_resolution,[],[f41428,f1174]) ).

fof(f1174,plain,
    ! [X0] :
      ( ~ accept_city(X0,cityb)
      | accept_population(X0,muslim,n1) ),
    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(f41428,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(f59707,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(unit_resulting_resolution,[],[f1674,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(f1674,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(f1270,plain,
    ! [X0] : accept_population(X0,christian,n25),
    inference(subsumption_resolution,[],[f1185,f634]) ).

fof(f1185,plain,
    ! [X0] :
      ( accept_population(X0,christian,n25)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f1091,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(cnf_transformation,[],[f295]) ).

fof(f295,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).

fof(f1004892,plain,
    sP2(n24,rdn(rdnn(n5),rdnn(n2))),
    inference(unit_resulting_resolution,[],[f1089,f96010,f1263]) ).

fof(f96010,plain,
    rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
    inference(unit_resulting_resolution,[],[f1286,f785,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(f785,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f539]) ).

fof(f539,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).

fof(f1286,plain,
    rdn_non_zero(rdnn(n2)),
    inference(unit_resulting_resolution,[],[f641,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(f641,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f527]) ).

fof(f527,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).

fof(f1089,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f294]) ).

fof(f294,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : AGT023+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 : n031.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 03:32:28 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  % (30924)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39  % (30927)WARNING: value z3 for option sas not known
% 0.20/0.39  % (30926)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  % (30925)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39  % (30929)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)
% 0.20/0.39  % (30930)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  % (30931)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  % (30928)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39  % (30927)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)
% 0.20/0.43  TRYING [1]
% 0.20/0.44  TRYING [2]
% 0.20/0.47  TRYING [1]
% 0.20/0.49  TRYING [2]
% 0.20/0.51  TRYING [3]
% 1.38/0.58  TRYING [3]
% 2.71/0.75  TRYING [4]
% 3.46/0.92  TRYING [4]
% 5.66/1.21  TRYING [5]
% 7.75/1.52  TRYING [1]
% 7.75/1.53  TRYING [2]
% 8.43/1.59  TRYING [3]
% 9.86/1.78  TRYING [4]
% 12.31/2.14  TRYING [5]
% 12.62/2.24  TRYING [6]
% 16.83/2.85  TRYING [6]
% 24.42/3.90  TRYING [7]
% 27.82/4.37  TRYING [7]
% 28.06/4.40  TRYING [5]
% 46.15/7.04  TRYING [8]
% 49.58/7.49  TRYING [8]
% 67.67/10.07  TRYING [9]
% 75.35/11.19  % (30931)First to succeed.
% 75.35/11.21  % (30931)Refutation found. Thanks to Tanya!
% 75.35/11.21  % SZS status Theorem for theBenchmark
% 75.35/11.21  % SZS output start Proof for theBenchmark
% See solution above
% 75.35/11.21  % (30931)------------------------------
% 75.35/11.21  % (30931)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 75.35/11.21  % (30931)Termination reason: Refutation
% 75.35/11.21  
% 75.35/11.21  % (30931)Memory used [KB]: 98047
% 75.35/11.21  % (30931)Time elapsed: 10.789 s
% 75.35/11.21  % (30931)Instructions burned: 21777 (million)
% 75.35/11.21  % (30931)------------------------------
% 75.35/11.21  % (30931)------------------------------
% 75.35/11.21  % (30924)Success in time 10.776 s
%------------------------------------------------------------------------------