%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM658_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 14:37:03 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   26 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  11   ~;   7   |;   1   &)
%                                         (   0 <=>;   3  =>;   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   :    8 (   8   !;   0   ?;   8   :)

% 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,
    more: ( nat * nat ) > $o ).

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

tff(f27,plain,
    $false,
    inference(subsumption_resolution,[],[f26,f18]) ).

tff(f18,plain,
    x != y,
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ( ( x != y )
    & ~ more(x,y) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ~ ( ~ more(x,y)
     => ( x = y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).

tff(f26,plain,
    x = y,
    inference(subsumption_resolution,[],[f25,f17]) ).

tff(f17,plain,
    ~ more(x,y),
    inference(cnf_transformation,[],[f12]) ).

tff(f25,plain,
    ( more(x,y)
    | ( x = y ) ),
    inference(resolution,[],[f20,f16]) ).

tff(f16,plain,
    ~ less(x,y),
    inference(cnf_transformation,[],[f10]) ).

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

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

tff(f4,conjecture,
    less(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10j) ).

tff(f20,plain,
    ! [X0: nat,X1: nat] :
      ( less(X0,X1)
      | more(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: nat,X1: nat] :
      ( less(X0,X1)
      | more(X0,X1)
      | ( X0 = X1 ) ),
    inference(flattening,[],[f14]) ).

tff(f14,plain,
    ! [X0: nat,X1: nat] :
      ( less(X0,X1)
      | more(X0,X1)
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,axiom,
    ! [X0: nat,X1: nat] :
      ( ( X0 != X1 )
     => ( ~ more(X0,X1)
       => less(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM658_8 : TPTP v8.1.2. Released v8.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Apr 29 23:42:04 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (22769)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (22772)WARNING: value z3 for option sas not known
% 0.14/0.36  % (22772)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)
% 0.14/0.37  % (22772)First to succeed.
% 0.14/0.37  % (22772)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Theorem for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (22772)------------------------------
% 0.14/0.37  % (22772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (22772)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (22772)Memory used [KB]: 739
% 0.14/0.37  % (22772)Time elapsed: 0.003 s
% 0.14/0.37  % (22772)Instructions burned: 2 (million)
% 0.14/0.37  % (22772)------------------------------
% 0.14/0.37  % (22772)------------------------------
% 0.14/0.37  % (22769)Success in time 0.013 s
%------------------------------------------------------------------------------