%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM659_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n013.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 : Thu Aug 31 12:13:58 EDT 2023

% Result   : Theorem 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   29 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  13   ~;   7   |;   1   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    nat: $tType ).

tff(func_def_0,type,
    x: nat ).

tff(func_def_1,type,
    y: nat ).

tff(pred_def_1,type,
    less: ( nat * nat ) > $o ).

tff(pred_def_2,type,
    more: ( nat * nat ) > $o ).

tff(f28,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f19]) ).

tff(f19,plain,
    x != y,
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ( x != y )
    & ~ less(x,y) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ~ ( ~ less(x,y)
     => ( x = y ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZJaXrkvlze/Vampire---4.8_6436',n) ).

tff(f27,plain,
    x = y,
    inference(subsumption_resolution,[],[f26,f18]) ).

tff(f18,plain,
    ~ less(x,y),
    inference(cnf_transformation,[],[f13]) ).

tff(f26,plain,
    ( less(x,y)
    | ( x = y ) ),
    inference(resolution,[],[f21,f17]) ).

tff(f17,plain,
    ~ more(x,y),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ~ more(x,y),
    inference(flattening,[],[f5]) ).

tff(f5,negated_conjecture,
    ~ more(x,y),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    more(x,y),
    file('/export/starexec/sandbox/tmp/tmp.ZJaXrkvlze/Vampire---4.8_6436',satz10k) ).

tff(f21,plain,
    ! [X0: nat,X1: nat] :
      ( more(X0,X1)
      | less(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: nat,X1: nat] :
      ( less(X0,X1)
      | more(X0,X1)
      | ( X0 = X1 ) ),
    inference(flattening,[],[f15]) ).

tff(f15,plain,
    ! [X0: nat,X1: nat] :
      ( less(X0,X1)
      | more(X0,X1)
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 != X1 )
     => ( ~ more(X0,X1)
       => less(X0,X1) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: nat,X2: nat] :
      ( ( X1 != X2 )
     => ( ~ more(X1,X2)
       => less(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZJaXrkvlze/Vampire---4.8_6436',satz10a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM659_8 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri Aug 25 08:24:47 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TX0_THM_EQU_NAR problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ZJaXrkvlze/Vampire---4.8_6436
% 0.22/0.36  % (6582)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41  % (6584)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.41  % (6584)First to succeed.
% 0.22/0.41  % (6584)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Theorem for Vampire---4
% 0.22/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.41  % (6584)------------------------------
% 0.22/0.41  % (6584)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.41  % (6584)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.41  % (6584)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (6584)Memory used [KB]: 9850
% 0.22/0.41  % (6584)Time elapsed: 0.004 s
% 0.22/0.41  % (6584)------------------------------
% 0.22/0.41  % (6584)------------------------------
% 0.22/0.41  % (6582)Success in time 0.047 s
% 0.22/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------