%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI166_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.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 : Wed Aug 31 15:47:32 EDT 2022

% Result   : Theorem 0.10s 0.37s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   17 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   43 (   8 atm;   7 fun;  24 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   1 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $int ).

tff(f22,plain,
    $false,
    inference(evaluation,[],[f21]) ).

tff(f21,plain,
    ~ $less(4,5),
    inference(forward_demodulation,[],[f18,f20]) ).

tff(f20,plain,
    5 = sK0,
    inference(evaluation,[],[f19]) ).

tff(f19,plain,
    $sum(2,3) = sK0,
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ( $sum(2,3) = sK0 )
    & ~ $less(4,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int] :
        ( ( $sum(2,3) = X0 )
        & ~ $less(4,X0) )
   => ( ( $sum(2,3) = sK0 )
      & ~ $less(4,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int] :
      ( ( $sum(2,3) = X0 )
      & ~ $less(4,X0) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( $sum(2,3) = X0 )
       => $less(4,X0) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $sum(2,3) = X0 )
     => $less(4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_2_3_greater_4) ).

tff(f18,plain,
    ~ $less(4,sK0),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : ARI166=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.26  % Computer : n008.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit   : 300
% 0.06/0.26  % WCLimit    : 300
% 0.06/0.26  % DateTime   : Mon Aug 29 15:27:25 EDT 2022
% 0.06/0.26  % CPUTime    : 
% 0.10/0.36  % (10628)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.10/0.36  % (10634)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.37  % (10631)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.37  % (10629)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.10/0.37  % (10633)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.10/0.37  % (10629)First to succeed.
% 0.10/0.37  % (10647)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.37  % (10651)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.10/0.37  % (10629)Refutation found. Thanks to Tanya!
% 0.10/0.37  % SZS status Theorem for theBenchmark
% 0.10/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.37  % (10629)------------------------------
% 0.10/0.37  % (10629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.37  % (10629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.37  % (10629)Termination reason: Refutation
% 0.10/0.37  
% 0.10/0.37  % (10629)Memory used [KB]: 5373
% 0.10/0.37  % (10629)Time elapsed: 0.004 s
% 0.10/0.37  % (10629)Instructions burned: 1 (million)
% 0.10/0.37  % (10629)------------------------------
% 0.10/0.37  % (10629)------------------------------
% 0.10/0.37  % (10627)Success in time 0.108 s
%------------------------------------------------------------------------------