TSTP Solution File: NUM023-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM023-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 May 21 01:47:50 EDT 2024

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    5 (   4 unt;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,plain,
    $false,
    inference(resolution,[],[f28,f15]) ).

fof(f15,axiom,
    ~ less(n0,successor(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_is_less_than_all_successors) ).

fof(f28,plain,
    ! [X0] : less(n0,successor(X0)),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    ! [X0] : equalish(add(X0,n0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adding_zero) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(add(successor(X0),X1),X2)
      | less(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',smaller_number) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM023-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n029.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   : Mon May 20 05:02:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (31330)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (31336)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.36  % (31334)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.36  % (31335)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.36  % (31333)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)
% 0.19/0.36  % (31331)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.36  % (31332)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.36  % (31337)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)
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  % (31336)First to succeed.
% 0.19/0.37  % (31333)Also succeeded, but the first one will report.
% 0.19/0.37  % (31335)Also succeeded, but the first one will report.
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  % (31336)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31330"
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  % (31336)Refutation found. Thanks to Tanya!
% 0.19/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37  % (31336)------------------------------
% 0.19/0.37  % (31336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.37  % (31336)Termination reason: Refutation
% 0.19/0.37  
% 0.19/0.37  % (31336)Memory used [KB]: 781
% 0.19/0.37  % (31336)Time elapsed: 0.003 s
% 0.19/0.37  % (31336)Instructions burned: 2 (million)
% 0.19/0.37  % (31330)Success in time 0.009 s
%------------------------------------------------------------------------------