TSTP Solution File: ARI011_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI011_1 : TPTP v8.1.2. 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 : Tue Apr 30 10:34:22 EDT 2024

% Result   : Theorem 0.22s 0.38s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   45 (  12 atm;   8 fun;  12 num;  13 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    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f36,plain,
    $false,
    inference(resolution,[],[f34,f8]) ).

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

tff(f34,plain,
    ! [X0: $int] : $less(-1,X0),
    inference(subsumption_resolution,[],[f33,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less(X0,0),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ~ $less(X0,0),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $less(X0,0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $less(X0,0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_0) ).

tff(f33,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | $less(-1,X0) ),
    inference(evaluation,[],[f32]) ).

tff(f32,plain,
    ! [X0: $int] :
      ( $less(X0,0)
      | $less($uminus(1),X0) ),
    inference(superposition,[],[f12,f17]) ).

tff(f17,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f7,f13]) ).

tff(f13,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_148,[]) ).

tff(f7,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI011_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 05:37:14 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (31970)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (31972)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (31971)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (31974)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (31976)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (31973)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (31975)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (31977)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)
% 0.15/0.38  % (31971)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (31972)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (31971)Terminated due to inappropriate strategy.
% 0.15/0.38  % (31971)------------------------------
% 0.15/0.38  % (31971)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (31972)Terminated due to inappropriate strategy.
% 0.15/0.38  % (31972)------------------------------
% 0.15/0.38  % (31972)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (31971)Termination reason: Inappropriate
% 0.15/0.38  % (31972)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (31971)Memory used [KB]: 716
% 0.15/0.38  % (31972)Memory used [KB]: 716
% 0.15/0.38  % (31972)Time elapsed: 0.002 s
% 0.15/0.38  % (31971)Time elapsed: 0.002 s
% 0.15/0.38  % (31972)Instructions burned: 2 (million)
% 0.15/0.38  % (31971)Instructions burned: 2 (million)
% 0.15/0.38  % (31972)------------------------------
% 0.15/0.38  % (31972)------------------------------
% 0.15/0.38  % (31971)------------------------------
% 0.15/0.38  % (31971)------------------------------
% 0.15/0.38  % (31974)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (31974)Terminated due to inappropriate strategy.
% 0.15/0.38  % (31974)------------------------------
% 0.15/0.38  % (31974)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (31974)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (31974)Memory used [KB]: 716
% 0.15/0.38  % (31974)Time elapsed: 0.002 s
% 0.15/0.38  % (31974)Instructions burned: 2 (million)
% 0.15/0.38  % (31974)------------------------------
% 0.15/0.38  % (31974)------------------------------
% 0.15/0.38  % (31977)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (31977)Terminated due to inappropriate strategy.
% 0.15/0.38  % (31977)------------------------------
% 0.15/0.38  % (31977)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (31977)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (31977)Memory used [KB]: 716
% 0.15/0.38  % (31977)Time elapsed: 0.002 s
% 0.15/0.38  % (31977)Instructions burned: 2 (million)
% 0.15/0.38  % (31977)------------------------------
% 0.15/0.38  % (31977)------------------------------
% 0.22/0.38  % (31975)First to succeed.
% 0.22/0.38  % (31976)Also succeeded, but the first one will report.
% 0.22/0.38  % (31975)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  % (31975)------------------------------
% 0.22/0.38  % (31975)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38  % (31975)Termination reason: Refutation
% 0.22/0.38  
% 0.22/0.38  % (31975)Memory used [KB]: 751
% 0.22/0.38  % (31975)Time elapsed: 0.004 s
% 0.22/0.38  % (31975)Instructions burned: 3 (million)
% 0.22/0.38  % (31975)------------------------------
% 0.22/0.38  % (31975)------------------------------
% 0.22/0.38  % (31970)Success in time 0.018 s
%------------------------------------------------------------------------------