TSTP Solution File: ARI195_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI195_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 : n012.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 18:49:39 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   23 (   7 atm;   2 fun;   2 num;  12 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    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   8   !;   4   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f29,plain,
    $false,
    inference(subsumption_resolution,[],[f28,f15]) ).

tff(f15,plain,
    ! [X0: $rat,X1: $rat] : ~ $less(X0,X1),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat,X1: $rat] : ~ $less(X0,X1),
    inference(ennf_transformation,[],[f2]) ).

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

tff(f1,conjecture,
    ? [X0: $rat,X1: $rat] : $less(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_6) ).

tff(f28,plain,
    ! [X0: $rat,X1: $rat] : $less(X1,$sum(X0,1/1)),
    inference(subsumption_resolution,[],[f12,f15]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ARI195_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 13:03:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (7833)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (7839)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (7837)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (7838)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (7834)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (7835)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (7840)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)
% 0.13/0.36  % (7836)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)
% 0.13/0.36  % (7840)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (7834)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (7835)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (7837)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.13/0.36  % (7834)Terminated due to inappropriate strategy.
% 0.13/0.36  % (7834)------------------------------
% 0.13/0.36  % (7834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (7835)Terminated due to inappropriate strategy.
% 0.13/0.36  % (7835)------------------------------
% 0.13/0.36  % (7835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (7834)Termination reason: Inappropriate
% 0.13/0.36  % (7835)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  
% 0.13/0.36  % (7834)Memory used [KB]: 716
% 0.13/0.36  % (7835)Memory used [KB]: 716
% 0.13/0.36  % (7834)Time elapsed: 0.002 s
% 0.13/0.36  % (7835)Time elapsed: 0.002 s
% 0.13/0.36  % (7837)Terminated due to inappropriate strategy.
% 0.13/0.36  % (7837)------------------------------
% 0.13/0.36  % (7837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (7834)Instructions burned: 2 (million)
% 0.13/0.36  % (7835)Instructions burned: 2 (million)
% 0.13/0.36  % (7837)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (7837)Memory used [KB]: 716
% 0.13/0.36  % (7837)Time elapsed: 0.002 s
% 0.13/0.36  % (7837)Instructions burned: 2 (million)
% 0.13/0.36  % (7840)Terminated due to inappropriate strategy.
% 0.13/0.36  % (7840)------------------------------
% 0.13/0.36  % (7840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (7840)Termination reason: Inappropriate
% 0.13/0.36  
% 0.13/0.36  % (7840)Memory used [KB]: 716
% 0.13/0.36  % (7840)Time elapsed: 0.002 s
% 0.13/0.36  % (7840)Instructions burned: 2 (million)
% 0.13/0.36  % (7837)------------------------------
% 0.13/0.36  % (7837)------------------------------
% 0.13/0.36  % (7835)------------------------------
% 0.13/0.36  % (7835)------------------------------
% 0.13/0.36  % (7834)------------------------------
% 0.13/0.36  % (7834)------------------------------
% 0.13/0.36  % (7840)------------------------------
% 0.13/0.36  % (7840)------------------------------
% 0.13/0.36  % (7839)Also succeeded, but the first one will report.
% 0.13/0.36  % (7838)First to succeed.
% 0.13/0.36  % (7836)Also succeeded, but the first one will report.
% 0.13/0.36  % (7838)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7833"
% 0.13/0.36  % (7838)Refutation found. Thanks to Tanya!
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36  % (7838)------------------------------
% 0.13/0.36  % (7838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (7838)Termination reason: Refutation
% 0.13/0.36  
% 0.13/0.36  % (7838)Memory used [KB]: 738
% 0.13/0.36  % (7838)Time elapsed: 0.003 s
% 0.13/0.36  % (7838)Instructions burned: 3 (million)
% 0.13/0.36  % (7833)Success in time 0.017 s
%------------------------------------------------------------------------------