TSTP Solution File: AGT015+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : AGT015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n021.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 Sep  6 14:48:04 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   66 (  26 unt;   7 typ;   0 def)
%            Number of atoms       :  239 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  349 ( 191   ~; 106   |;  16   &)
%                                         (  30 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   22 (  22 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (   4   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :  168 ( 127   !;  20   ?; 168   :)

% Comments : 
%------------------------------------------------------------------------------
tff(accept_city_type,type,
    accept_city: ( $i * $i ) > $o ).

tff(towna_type,type,
    towna: $i ).

tff(muslimcountrybhumanitarianorganization_type,type,
    muslimcountrybhumanitarianorganization: $i ).

tff(accept_leader_type,type,
    accept_leader: ( $i * $i ) > $o ).

tff(countryacivilorganization_type,type,
    countryacivilorganization: $i ).

tff(any_agent_in_all_proposed_teams_type,type,
    any_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o ).

tff(the_agent_not_in_any_proposed_teams_type,type,
    the_agent_not_in_any_proposed_teams: ( $i * $i * $i ) > $o ).

tff(1,plain,
    ( any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
  <=> any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_12) ).

tff(3,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ^ [A: $i,L: $i,C: $i] :
      refl(
        ( ( ~ any_agent_in_all_proposed_teams(A,L,C)
          | accept_leader(A,L) )
      <=> ( ~ any_agent_in_all_proposed_teams(A,L,C)
          | accept_leader(A,L) ) )),
    inference(bind,[status(th)],]) ).

tff(5,plain,
    ( ! [A: $i,L: $i,C: $i] :
        ( ~ any_agent_in_all_proposed_teams(A,L,C)
        | accept_leader(A,L) )
  <=> ! [A: $i,L: $i,C: $i] :
        ( ~ any_agent_in_all_proposed_teams(A,L,C)
        | accept_leader(A,L) ) ),
    inference(quant_intro,[status(thm)],[4]) ).

tff(6,plain,
    ( ! [A: $i,L: $i,C: $i] :
        ( ~ any_agent_in_all_proposed_teams(A,L,C)
        | accept_leader(A,L) )
  <=> ! [A: $i,L: $i,C: $i] :
        ( ~ any_agent_in_all_proposed_teams(A,L,C)
        | accept_leader(A,L) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(7,plain,
    ^ [A: $i,L: $i,C: $i] :
      rewrite(
        ( ( any_agent_in_all_proposed_teams(A,L,C)
         => accept_leader(A,L) )
      <=> ( ~ any_agent_in_all_proposed_teams(A,L,C)
          | accept_leader(A,L) ) )),
    inference(bind,[status(th)],]) ).

tff(8,plain,
    ( ! [A: $i,L: $i,C: $i] :
        ( any_agent_in_all_proposed_teams(A,L,C)
       => accept_leader(A,L) )
  <=> ! [A: $i,L: $i,C: $i] :
        ( ~ any_agent_in_all_proposed_teams(A,L,C)
        | accept_leader(A,L) ) ),
    inference(quant_intro,[status(thm)],[7]) ).

tff(9,axiom,
    ! [A: $i,L: $i,C: $i] :
      ( any_agent_in_all_proposed_teams(A,L,C)
     => accept_leader(A,L) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_5) ).

tff(10,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ any_agent_in_all_proposed_teams(A,L,C)
      | accept_leader(A,L) ),
    inference(modus_ponens,[status(thm)],[9,8]) ).

tff(11,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ any_agent_in_all_proposed_teams(A,L,C)
      | accept_leader(A,L) ),
    inference(modus_ponens,[status(thm)],[10,6]) ).

tff(12,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ any_agent_in_all_proposed_teams(A,L,C)
      | accept_leader(A,L) ),
    inference(skolemize,[status(sab)],[11]) ).

tff(13,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ any_agent_in_all_proposed_teams(A,L,C)
      | accept_leader(A,L) ),
    inference(modus_ponens,[status(thm)],[12,5]) ).

tff(14,plain,
    ( ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ any_agent_in_all_proposed_teams(A,L,C)
            | accept_leader(A,L) )
      | ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )
  <=> ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ any_agent_in_all_proposed_teams(A,L,C)
            | accept_leader(A,L) )
      | ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(15,plain,
    ( ~ ! [A: $i,L: $i,C: $i] :
          ( ~ any_agent_in_all_proposed_teams(A,L,C)
          | accept_leader(A,L) )
    | ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
    | accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
    inference(quant_inst,[status(thm)],]) ).

tff(16,plain,
    ( ~ ! [A: $i,L: $i,C: $i] :
          ( ~ any_agent_in_all_proposed_teams(A,L,C)
          | accept_leader(A,L) )
    | ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
    | accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(unit_resolution,[status(thm)],[16,13,3]) ).

tff(18,plain,
    ( the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
  <=> the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna) ),
    inference(rewrite,[status(thm)],]) ).

tff(19,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_11) ).

tff(20,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(modus_ponens,[status(thm)],[19,18]) ).

tff(21,plain,
    ^ [A: $i,L: $i,C: $i] :
      refl(
        ( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
          | ~ accept_city(A,C)
          | ~ accept_leader(A,L) )
      <=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
          | ~ accept_city(A,C)
          | ~ accept_leader(A,L) ) )),
    inference(bind,[status(th)],]) ).

tff(22,plain,
    ( ! [A: $i,L: $i,C: $i] :
        ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
        | ~ accept_city(A,C)
        | ~ accept_leader(A,L) )
  <=> ! [A: $i,L: $i,C: $i] :
        ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
        | ~ accept_city(A,C)
        | ~ accept_leader(A,L) ) ),
    inference(quant_intro,[status(thm)],[21]) ).

tff(23,plain,
    ^ [A: $i,L: $i,C: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              rewrite(
                ( ( accept_city(A,C)
                  & accept_leader(A,L) )
              <=> ~ ( ~ accept_city(A,C)
                    | ~ accept_leader(A,L) ) )),
              ( ~ ( accept_city(A,C)
                  & accept_leader(A,L) )
            <=> ~ ~ ( ~ accept_city(A,C)
                    | ~ accept_leader(A,L) ) )),
            rewrite(
              ( ~ ~ ( ~ accept_city(A,C)
                    | ~ accept_leader(A,L) )
            <=> ( ~ accept_city(A,C)
                | ~ accept_leader(A,L) ) )),
            ( ~ ( accept_city(A,C)
                & accept_leader(A,L) )
          <=> ( ~ accept_city(A,C)
              | ~ accept_leader(A,L) ) )),
          ( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ ( accept_city(A,C)
                & accept_leader(A,L) ) )
        <=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) ) )),
        rewrite(
          ( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) )
        <=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) ) )),
        ( ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
          | ~ ( accept_city(A,C)
              & accept_leader(A,L) ) )
      <=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
          | ~ accept_city(A,C)
          | ~ accept_leader(A,L) ) )),
    inference(bind,[status(th)],]) ).

tff(24,plain,
    ( ! [A: $i,L: $i,C: $i] :
        ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
        | ~ ( accept_city(A,C)
            & accept_leader(A,L) ) )
  <=> ! [A: $i,L: $i,C: $i] :
        ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
        | ~ accept_city(A,C)
        | ~ accept_leader(A,L) ) ),
    inference(quant_intro,[status(thm)],[23]) ).

tff(25,plain,
    ( ! [A: $i,L: $i,C: $i] :
        ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
        | ~ ( accept_city(A,C)
            & accept_leader(A,L) ) )
  <=> ! [A: $i,L: $i,C: $i] :
        ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
        | ~ ( accept_city(A,C)
            & accept_leader(A,L) ) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(26,plain,
    ^ [A: $i,L: $i,C: $i] :
      rewrite(
        ( ( the_agent_not_in_any_proposed_teams(A,L,C)
         => ~ ( accept_city(A,C)
              & accept_leader(A,L) ) )
      <=> ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
          | ~ ( accept_city(A,C)
              & accept_leader(A,L) ) ) )),
    inference(bind,[status(th)],]) ).

tff(27,plain,
    ( ! [A: $i,L: $i,C: $i] :
        ( the_agent_not_in_any_proposed_teams(A,L,C)
       => ~ ( accept_city(A,C)
            & accept_leader(A,L) ) )
  <=> ! [A: $i,L: $i,C: $i] :
        ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
        | ~ ( accept_city(A,C)
            & accept_leader(A,L) ) ) ),
    inference(quant_intro,[status(thm)],[26]) ).

tff(28,axiom,
    ! [A: $i,L: $i,C: $i] :
      ( the_agent_not_in_any_proposed_teams(A,L,C)
     => ~ ( accept_city(A,C)
          & accept_leader(A,L) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_6) ).

tff(29,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
      | ~ ( accept_city(A,C)
          & accept_leader(A,L) ) ),
    inference(modus_ponens,[status(thm)],[28,27]) ).

tff(30,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
      | ~ ( accept_city(A,C)
          & accept_leader(A,L) ) ),
    inference(modus_ponens,[status(thm)],[29,25]) ).

tff(31,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
      | ~ ( accept_city(A,C)
          & accept_leader(A,L) ) ),
    inference(skolemize,[status(sab)],[30]) ).

tff(32,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
      | ~ accept_city(A,C)
      | ~ accept_leader(A,L) ),
    inference(modus_ponens,[status(thm)],[31,24]) ).

tff(33,plain,
    ! [A: $i,L: $i,C: $i] :
      ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
      | ~ accept_city(A,C)
      | ~ accept_leader(A,L) ),
    inference(modus_ponens,[status(thm)],[32,22]) ).

tff(34,plain,
    ( ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) )
      | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )
  <=> ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) )
      | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(35,plain,
    ( ( ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )
  <=> ( ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(36,plain,
    ( ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) )
      | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )
  <=> ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) )
      | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ) ),
    inference(monotonicity,[status(thm)],[35]) ).

tff(37,plain,
    ( ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) )
      | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) )
  <=> ( ~ ! [A: $i,L: $i,C: $i] :
            ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
            | ~ accept_city(A,C)
            | ~ accept_leader(A,L) )
      | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
      | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
      | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ) ),
    inference(transitivity,[status(thm)],[36,34]) ).

tff(38,plain,
    ( ~ ! [A: $i,L: $i,C: $i] :
          ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
          | ~ accept_city(A,C)
          | ~ accept_leader(A,L) )
    | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
    inference(quant_inst,[status(thm)],]) ).

tff(39,plain,
    ( ~ ! [A: $i,L: $i,C: $i] :
          ( ~ the_agent_not_in_any_proposed_teams(A,L,C)
          | ~ accept_city(A,C)
          | ~ accept_leader(A,L) )
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna)
    | ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization) ),
    inference(modus_ponens,[status(thm)],[38,37]) ).

tff(40,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(unit_resolution,[status(thm)],[39,33,20,17]) ).

tff(41,plain,
    ^ [X: $i,Y: $i] :
      refl(
        ( accept_city(X,Y)
      <=> accept_city(X,Y) )),
    inference(bind,[status(th)],]) ).

tff(42,plain,
    ( ! [X: $i,Y: $i] : accept_city(X,Y)
  <=> ! [X: $i,Y: $i] : accept_city(X,Y) ),
    inference(quant_intro,[status(thm)],[41]) ).

tff(43,plain,
    ^ [X: $i,Y: $i] :
      rewrite(
        ( ~ ~ accept_city(X,Y)
      <=> accept_city(X,Y) )),
    inference(bind,[status(th)],]) ).

tff(44,plain,
    ( ! [X: $i,Y: $i] :
        ~ ~ accept_city(X,Y)
  <=> ! [X: $i,Y: $i] : accept_city(X,Y) ),
    inference(quant_intro,[status(thm)],[43]) ).

tff(45,plain,
    ( ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y)
  <=> ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y) ),
    inference(rewrite,[status(thm)],]) ).

tff(46,axiom,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_15) ).

tff(47,plain,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[46,45]) ).

tff(48,plain,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[47,45]) ).

tff(49,plain,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[48,45]) ).

tff(50,plain,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[49,45]) ).

tff(51,plain,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[50,45]) ).

tff(52,plain,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[51,45]) ).

tff(53,plain,
    ~ ? [X: $i,Y: $i] : ~ accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[52,45]) ).

tff(54,plain,
    ^ [X: $i,Y: $i] :
      refl(
        $oeq(
          ~ ~ accept_city(X,Y),
          ~ ~ accept_city(X,Y))),
    inference(bind,[status(th)],]) ).

tff(55,plain,
    ! [X: $i,Y: $i] :
      ~ ~ accept_city(X,Y),
    inference(nnf-neg,[status(sab)],[53,54]) ).

tff(56,plain,
    ! [X: $i,Y: $i] : accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[55,44]) ).

tff(57,plain,
    ! [X: $i,Y: $i] : accept_city(X,Y),
    inference(modus_ponens,[status(thm)],[56,42]) ).

tff(58,plain,
    ( ~ ! [X: $i,Y: $i] : accept_city(X,Y)
    | accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(quant_inst,[status(thm)],]) ).

tff(59,plain,
    $false,
    inference(unit_resolution,[status(thm)],[58,57,40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : AGT015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 29 12:24:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 0.19/0.47  % SZS status Theorem
% 0.19/0.47  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------