TSTP Solution File: NUM025-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM025-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 14:12:44 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(resolution,[],[f26,f15]) ).

fof(f15,axiom,
    less(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_less_than_b) ).

fof(f26,plain,
    ~ less(a,b),
    inference(resolution,[],[f25,f16]) ).

fof(f16,axiom,
    less(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_not_less_than_a) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ less(X1,X0) ),
    inference(resolution,[],[f7,f14]) ).

fof(f14,axiom,
    ! [X0] : ~ less(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_number_less_than_itself) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( less(X2,X1)
      | ~ less(X2,X0)
      | ~ less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : NUM025-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Apr 29 23:25:33 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (6358)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (6361)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (6362)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (6364)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)
% 0.14/0.38  % (6366)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (6367)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (6365)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (6368)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  % (6364)First to succeed.
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (6367)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (6366)Also succeeded, but the first one will report.
% 0.14/0.38  % (6364)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (6364)------------------------------
% 0.14/0.38  % (6364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (6364)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (6364)Memory used [KB]: 783
% 0.14/0.38  % (6364)Time elapsed: 0.003 s
% 0.14/0.38  % (6364)Instructions burned: 3 (million)
% 0.14/0.38  % (6364)------------------------------
% 0.14/0.38  % (6364)------------------------------
% 0.14/0.38  % (6358)Success in time 0.019 s
%------------------------------------------------------------------------------