TSTP Solution File: ARI013_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI013_1 : TPTP v8.2.0. Released v5.0.0.
% 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 : Mon May 20 18:49:12 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   23 (   8 atm;   1 fun;   6 num;   8 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   6   !;   2   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f36,plain,
    $false,
    inference(resolution,[],[f29,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f29,plain,
    ! [X0: $int] : $less(X0,-2),
    inference(resolution,[],[f12,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less(-2,X0),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ~ $less(-2,X0),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $less(-2,X0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $less(-2,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n2_less_something) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : ARI013_1 : TPTP v8.2.0. Released v5.0.0.
% 0.09/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 13:33:08 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (31067)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (31073)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36  % (31071)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.36  % (31072)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36  % (31074)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36  % (31074)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36  % (31071)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36  % (31074)Terminated due to inappropriate strategy.
% 0.12/0.36  % (31074)------------------------------
% 0.12/0.36  % (31074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (31074)Termination reason: Inappropriate
% 0.12/0.36  
% 0.12/0.36  % (31074)Memory used [KB]: 717
% 0.12/0.36  % (31071)Terminated due to inappropriate strategy.
% 0.12/0.36  % (31071)------------------------------
% 0.12/0.36  % (31071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (31074)Time elapsed: 0.002 s
% 0.12/0.36  % (31071)Termination reason: Inappropriate
% 0.12/0.36  
% 0.12/0.36  % (31074)Instructions burned: 2 (million)
% 0.12/0.36  % (31071)Memory used [KB]: 716
% 0.12/0.36  % (31071)Time elapsed: 0.002 s
% 0.12/0.36  % (31071)Instructions burned: 2 (million)
% 0.12/0.36  % (31074)------------------------------
% 0.12/0.36  % (31074)------------------------------
% 0.12/0.36  % (31071)------------------------------
% 0.12/0.36  % (31071)------------------------------
% 0.12/0.36  % (31068)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36  % (31073)Also succeeded, but the first one will report.
% 0.12/0.36  % (31072)First to succeed.
% 0.12/0.36  % (31068)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36  % (31068)Terminated due to inappropriate strategy.
% 0.12/0.36  % (31068)------------------------------
% 0.12/0.36  % (31068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (31068)Termination reason: Inappropriate
% 0.12/0.36  
% 0.12/0.36  % (31068)Memory used [KB]: 716
% 0.12/0.36  % (31068)Time elapsed: 0.002 s
% 0.12/0.36  % (31068)Instructions burned: 2 (million)
% 0.12/0.36  % (31072)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31067"
% 0.12/0.36  % (31068)------------------------------
% 0.12/0.36  % (31068)------------------------------
% 0.12/0.36  % (31072)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Theorem for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (31072)------------------------------
% 0.12/0.36  % (31072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (31072)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (31072)Memory used [KB]: 752
% 0.12/0.36  % (31072)Time elapsed: 0.003 s
% 0.12/0.36  % (31072)Instructions burned: 3 (million)
% 0.12/0.36  % (31067)Success in time 0.016 s
%------------------------------------------------------------------------------