TSTP Solution File: ARI033_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI033_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 : n006.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 15:47:12 EDT 2022

% Result   : Theorem 0.13s 0.47s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   38 (  12 atm;   3 fun;   3 num;  20 var)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   20 (  12   !;   8   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ0_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_4,type,
    sQ1_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_5,type,
    sQ2_eqProxy: ( $real * $real ) > $o ).

tff(f70,plain,
    $false,
    inference(subsumption_resolution,[],[f69,f24]) ).

tff(f24,plain,
    ! [X0: $int,X1: $int] : ~ $less(X0,X1),
    inference(literal_reordering,[],[f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] : ~ $less(X0,X1),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] : ~ $less(X0,X1),
    inference(ennf_transformation,[],[f16]) ).

tff(f16,plain,
    ~ ? [X0: $int,X1: $int] : $less(X0,X1),
    inference(rectify,[],[f3]) ).

tff(f3,plain,
    ~ ? [X1: $int,X0: $int] : $less(X1,X0),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X1: $int,X0: $int] : $greater(X0,X1),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X1: $int,X0: $int] : $greater(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_greater_something) ).

tff(f69,plain,
    ! [X0: $int,X1: $int] : $less(X1,$sum(X0,1)),
    inference(subsumption_resolution,[],[f22,f24]) ).

tff(f22,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
      | $less(X1,$sum(X0,1)) ),
    inference(literal_reordering,[],[f13]) ).

tff(f13,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : ARI033=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n006.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Aug 29 15:20:25 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.13/0.45  % (11411)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.13/0.46  % (11413)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.13/0.46  % (11403)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)
% 0.13/0.46  % (11404)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.13/0.47  % (11419)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.13/0.47  % (11405)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.47  % (11420)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)
% 0.13/0.47  % (11412)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.13/0.47  % (11411)First to succeed.
% 0.13/0.47  % (11403)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.47  % (11405)Instruction limit reached!
% 0.13/0.47  % (11405)------------------------------
% 0.13/0.47  % (11405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.47  % (11413)Also succeeded, but the first one will report.
% 0.13/0.47  % (11411)Refutation found. Thanks to Tanya!
% 0.13/0.47  % SZS status Theorem for theBenchmark
% 0.13/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.47  % (11411)------------------------------
% 0.13/0.47  % (11411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.47  % (11411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.47  % (11411)Termination reason: Refutation
% 0.13/0.47  
% 0.13/0.47  % (11411)Memory used [KB]: 5756
% 0.13/0.47  % (11411)Time elapsed: 0.005 s
% 0.13/0.47  % (11411)Instructions burned: 3 (million)
% 0.13/0.47  % (11411)------------------------------
% 0.13/0.47  % (11411)------------------------------
% 0.13/0.47  % (11396)Success in time 0.163 s
%------------------------------------------------------------------------------