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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : AGT009+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n008.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 : Fri Sep 25 12:50:57 PM UTC 2026

% Result   : Theorem 114.28s 26.73s
% Output   : CNFRefutation 114.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   81 (  31 unt;   0 def)
%            Number of atoms       :  235 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  267 ( 113   ~; 107   |;  40   &)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-4 aty)
%            Number of functors    :   20 (  20 usr;  17 con; 0-2 aty)
%            Number of variables   :  107 (   0 sgn 107   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( less(X2,X1)
        & accept_population(X0,X3,X1) )
     => accept_population(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).

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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).

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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_10) ).

fof(f362,axiom,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_93) ).

fof(f472,axiom,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_203) ).

fof(f473,axiom,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_204) ).

fof(f635,axiom,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_366) ).

fof(f661,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn24) ).

fof(f662,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn25) ).

fof(f894,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

fof(f906,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

fof(f913,axiom,
    ! [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)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).

fof(f915,axiom,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).

fof(f917,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rdn_positive_less(X2,X3)
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_pos(X2)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(f923,conjecture,
    ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_9) ).

fof(f924,negated_conjecture,
    ~ ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(negated_conjecture,[status(cth)],[f923]) ).

fof(f925,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(flattening,[],[f924]) ).

fof(f932,plain,
    ! [X0,X1,X2,X3] :
      ( ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f933,plain,
    ! [X0,X1,X2,X3] :
      ( ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2) ),
    inference(flattening,[],[f932]) ).

fof(f941,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(ennf_transformation,[],[f913]) ).

fof(f942,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(flattening,[],[f941]) ).

fof(f944,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(ennf_transformation,[],[f915]) ).

fof(f946,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(ennf_transformation,[],[f917]) ).

fof(f947,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(flattening,[],[f946]) ).

fof(f952,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(f953,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,[],[f952]) ).

fof(f970,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(f971,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,[],[f970]) ).

fof(f972,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(f973,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,[],[f972]) ).

fof(f984,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_team(X0,X3,X1,X2)
      | accept_city(X0,X1) ),
    inference(cnf_transformation,[],[f953]) ).

fof(f987,plain,
    ! [X2,X3,X0,X1] :
      ( ~ less(X2,X1)
      | ~ accept_population(X0,X3,X1)
      | accept_population(X0,X3,X2) ),
    inference(cnf_transformation,[],[f933]) ).

fof(f1040,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) ),
    inference(cnf_transformation,[],[f971]) ).

fof(f1050,plain,
    ! [X0] :
      ( ~ accept_city(X0,citya)
      | accept_population(X0,christian,n25) ),
    inference(cnf_transformation,[],[f973]) ).

fof(f1051,plain,
    ! [X0] :
      ( ~ accept_city(X0,citya)
      | accept_population(X0,atheist,n75) ),
    inference(cnf_transformation,[],[f973]) ).

fof(f1411,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(cnf_transformation,[],[f362]) ).

fof(f1521,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(cnf_transformation,[],[f472]) ).

fof(f1522,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(cnf_transformation,[],[f473]) ).

fof(f1684,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cnf_transformation,[],[f635]) ).

fof(f1710,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f661]) ).

fof(f1711,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(cnf_transformation,[],[f662]) ).

fof(f1943,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f894]) ).

fof(f1955,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f906]) ).

fof(f1962,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_non_zero(X1)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X2))
      | rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
    inference(cnf_transformation,[],[f942]) ).

fof(f1964,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f944]) ).

fof(f1966,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_positive_less(X2,X3)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X2))
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f947]) ).

fof(f1972,plain,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(cnf_transformation,[],[f925]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_city(X0,X2)
      | ~ accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f984]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_population(X0,X1,X3)
      | ~ less(X3,X2)
      | ~ accept_population(X0,X1,X2) ),
    inference(cnf_transformation,[],[f987]) ).

tcf(c_112,plain,
    ! [X0: $i] :
      ( 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,[],[f1040]) ).

tcf(c_113,plain,
    ! [X0: $i] :
      ( accept_population(X0,atheist,n75)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f1051]) ).

tcf(c_114,plain,
    ! [X0: $i] :
      ( accept_population(X0,christian,n25)
      | ~ accept_city(X0,citya) ),
    inference(cnf_transformation,[],[f1050]) ).

tcf(c_478,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(cnf_transformation,[],[f1411]) ).

tcf(c_588,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(cnf_transformation,[],[f1521]) ).

tcf(c_589,plain,
    accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
    inference(cnf_transformation,[],[f1522]) ).

tcf(c_751,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cnf_transformation,[],[f1684]) ).

tcf(c_777,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(cnf_transformation,[],[f1710]) ).

tcf(c_778,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(cnf_transformation,[],[f1711]) ).

tcf(c_1010,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f1943]) ).

tcf(c_1022,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(cnf_transformation,[],[f1955]) ).

tcf(c_1029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( rdn_positive_less(rdn(rdnn(X0),X2),rdn(rdnn(X1),X2))
      | ~ rdn_non_zero(X2)
      | ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
    inference(cnf_transformation,[],[f1962]) ).

tcf(c_1031,plain,
    ! [X0: $i] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f1964]) ).

tcf(c_1033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( less(X0,X2)
      | ~ rdn_positive_less(X1,X3)
      | ~ rdn_translate(X2,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(cnf_transformation,[],[f1966]) ).

tcf(c_1039,negated_conjecture,
    accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2),
    inference(cnf_transformation,[],[f1972]) ).

tcf(c_15338,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,citya)
    | ~ accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_16695,plain,
    rdn_non_zero(rdnn(n2)),
    inference(superposition,[status(thm)],[c_1010,c_1031]) ).

tcf(c_21777,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,christian,n25)
    | ~ accept_city(muslimcountrybhumanitarianorganization,citya) ),
    inference(instantiation,[status(thm)],[c_114]) ).

tcf(c_21778,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_city(muslimcountrybhumanitarianorganization,citya) ),
    inference(instantiation,[status(thm)],[c_113]) ).

tcf(c_30479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_population(X0,X1,X2)
      | ~ less(X2,n25)
      | ~ accept_population(X0,X1,n25) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_31562,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(superposition,[status(thm)],[c_589,c_112]) ).

tcf(c_35721,plain,
    ! [X0: $i] :
      ( accept_population(muslimcountrybhumanitarianorganization,christian,X0)
      | ~ less(X0,n25)
      | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25) ),
    inference(instantiation,[status(thm)],[c_30479]) ).

tcf(c_38246,plain,
    ( accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ less(n24,n25)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n25) ),
    inference(instantiation,[status(thm)],[c_35721]) ).

tcf(c_87821,plain,
    ! [X0: $i,X1: $i] :
      ( less(n24,X1)
      | ~ rdn_translate(X1,rdn_pos(X0))
      | ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),X0) ),
    inference(superposition,[status(thm)],[c_777,c_1033]) ).

tcf(c_110056,plain,
    ! [X0: $i,X1: $i] :
      ( less(n24,X0)
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_positive_less(rdnn(n4),rdnn(X1))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2)))) ),
    inference(superposition,[status(thm)],[c_1029,c_87821]) ).

tcf(c_161557,plain,
    ! [X0: $i,X1: $i] :
      ( less(n24,X1)
      | ~ rdn_translate(X1,rdn_pos(X0))
      | ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),X0) ),
    inference(superposition,[status(thm)],[c_777,c_1033]) ).

tcf(c_252600,plain,
    ! [X0: $i,X1: $i] :
      ( less(n24,X0)
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_positive_less(rdnn(n4),rdnn(X1))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2)))) ),
    inference(superposition,[status(thm)],[c_1029,c_161557]) ).

tcf(c_254054,plain,
    ! [X0: $i,X1: $i] :
      ( less(n24,X0)
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
      | ~ rdn_positive_less(rdnn(n4),rdnn(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_252600,c_16695,c_110056]) ).

tcf(c_254055,plain,
    ! [X0: $i,X1: $i] :
      ( less(n24,X0)
      | ~ rdn_positive_less(rdnn(n4),rdnn(X1))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2)))) ),
    inference(renaming,[status(thm)],[c_254054]) ).

tcf(c_254062,plain,
    ( less(n24,n25)
    | ~ rdn_positive_less(rdnn(n4),rdnn(n5)) ),
    inference(superposition,[status(thm)],[c_778,c_254055]) ).

tcf(c_254067,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_254062,c_38246,c_31562,c_21777,c_21778,c_15338,c_1022,c_1039,c_478,c_588,c_751]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : AGT009+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.42  % Computer : n008.cluster.edu
% 0.13/5.42  % Model    : x86_64 x86_64
% 0.13/5.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.42  % Memory   : 8046.5625MB
% 0.13/5.42  % OS       : Linux 6.8.0-71-generic
% 0.13/5.42  % CPULimit : 300
% 0.13/5.42  % WCLimit  : 300
% 0.13/5.42  % DateTime : Fri Sep 25 04:23:19 UTC 2026
% 0.13/5.42  % CPUTime  : 
% 0.13/5.42  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.48  Running first-order theorem proving
% 0.13/5.48  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.50  
% 0.13/5.50  % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.50  
% 0.19/5.50  % Detected problem language: tptp
% 0.19/5.52  % Proving...
% 114.28/26.73  % SZS status Started for theBenchmark.p
% 114.28/26.73  % SZS status Theorem for theBenchmark.p
% 114.28/26.73  
% 114.28/26.73  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 114.28/26.73  
% 114.28/26.73  % ------  iProver source info
% 114.28/26.73  
% 114.28/26.73  % git: date: 2026-07-19 20:42:38 +0200
% 114.28/26.73  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 114.28/26.73  % git: non_committed_changes: false
% 114.28/26.73  
% 114.28/26.73  % ------ Parsing...
% 114.28/26.73  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 114.28/26.73  
% 114.28/26.73  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 114.28/26.73  
% 114.28/26.73  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 114.28/26.73  
% 114.28/26.73  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 114.28/26.73  % ------ Proving...
% 114.28/26.73  % ------ Problem Properties 
% 114.28/26.73  
% 114.28/26.73  % 
% 114.28/26.73  % clauses                               889
% 114.28/26.73  % conjectures                           1
% 114.28/26.73  % EPR                                   606
% 114.28/26.73  % Horn                                  888
% 114.28/26.73  % unary                                 794
% 114.28/26.73  % binary                                73
% 114.28/26.73  % lits                                  1048
% 114.28/26.73  % lits eq                               1
% 114.28/26.73  % fd_pure                               0
% 114.28/26.73  % fd_pseudo                             0
% 114.28/26.73  % fd_cond                               0
% 114.28/26.73  % fd_pseudo_cond                        1
% 114.28/26.73  % AC symbols                            0
% 114.28/26.73  
% 114.28/26.73  % ------ Input Options Time Limit: Unbounded
% 114.28/26.73  
% 114.28/26.73  
% 114.28/26.73  % ------ 
% 114.28/26.73  % Current options:
% 114.28/26.73  % ------ 
% 114.28/26.73  
% 114.28/26.73  
% 114.28/26.73  % 
% 114.28/26.73  
% 114.28/26.73  % ------ Proving...
% 114.28/26.73  % 
% 114.28/26.73  
% 114.28/26.73  % SZS status Theorem for theBenchmark.p
% 114.28/26.73  
% 114.28/26.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 114.28/26.73  
% 114.28/26.73  
%------------------------------------------------------------------------------