%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM695_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 : n019.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 14:37:15 EDT 2024

% Result   : Theorem 0.22s 0.38s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   12 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   4   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 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,
    suc: nat > nat ).

tff(func_def_2,type,
    n_1: nat ).

tff(func_def_3,type,
    pl: ( nat * nat ) > nat ).

tff(func_def_6,type,
    sK0: nat > nat ).

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

tff(f33,plain,
    $false,
    inference(resolution,[],[f32,f22]) ).

tff(f22,plain,
    ~ more(suc(x),n_1),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ~ more(suc(x),n_1),
    inference(flattening,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ more(suc(x),n_1),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    more(suc(x),n_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24b) ).

tff(f32,plain,
    ! [X0: nat] : more(suc(X0),n_1),
    inference(superposition,[],[f27,f24]) ).

tff(f24,plain,
    ! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X1: nat] : ( suc(X1) = pl(n_1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4g) ).

tff(f27,plain,
    ! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X1: nat,X3: nat] : more(pl(X1,X3),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM695_8 : TPTP v8.1.2. Released v8.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 00:00:14 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (23679)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37  % (23684)WARNING: value z3 for option sas not known
% 0.22/0.37  % (23684)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)
% 0.22/0.38  % (23684)First to succeed.
% 0.22/0.38  % (23684)Refutation found. Thanks to Tanya!
% 0.22/0.38  % SZS status Theorem for theBenchmark
% 0.22/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38  % (23684)------------------------------
% 0.22/0.38  % (23684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38  % (23684)Termination reason: Refutation
% 0.22/0.38  
% 0.22/0.38  % (23684)Memory used [KB]: 742
% 0.22/0.38  % (23684)Time elapsed: 0.004 s
% 0.22/0.38  % (23684)Instructions burned: 3 (million)
% 0.22/0.38  % (23684)------------------------------
% 0.22/0.38  % (23684)------------------------------
% 0.22/0.38  % (23679)Success in time 0.016 s
%------------------------------------------------------------------------------