TSTP Solution File: SET001-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 15:03:53 EDT 2024

% Result   : Unsatisfiable 0.18s 0.39s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,plain,
    $false,
    inference(resolution,[],[f16,f8]) ).

fof(f8,axiom,
    member(element_of_b,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_of_b) ).

fof(f16,plain,
    ~ member(element_of_b,b),
    inference(resolution,[],[f14,f10]) ).

fof(f10,plain,
    subset(b,bb),
    inference(resolution,[],[f4,f7]) ).

fof(f7,axiom,
    equal_sets(b,bb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_equals_bb) ).

fof(f4,axiom,
    ! [X2,X1] :
      ( ~ equal_sets(X1,X2)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_equal_sets_are_subsets1) ).

fof(f14,plain,
    ! [X0] :
      ( ~ subset(X0,bb)
      | ~ member(element_of_b,X0) ),
    inference(resolution,[],[f1,f9]) ).

fof(f9,axiom,
    ~ member(element_of_b,bb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_element_of_bb) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X2)
      | ~ subset(X1,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',membership_in_subsets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35  % Computer : n032.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Tue Apr 30 01:43:05 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.18/0.35  % (26927)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38  % (26928)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.38  % (26930)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)
% 0.18/0.38  TRYING [1]
% 0.18/0.38  % (26930)First to succeed.
% 0.18/0.38  TRYING [2]
% 0.18/0.38  % (26933)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.38  % (26928)Also succeeded, but the first one will report.
% 0.18/0.39  % (26930)Refutation found. Thanks to Tanya!
% 0.18/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.39  % (26930)------------------------------
% 0.18/0.39  % (26930)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.39  % (26930)Termination reason: Refutation
% 0.18/0.39  
% 0.18/0.39  % (26930)Memory used [KB]: 764
% 0.18/0.39  % (26930)Time elapsed: 0.004 s
% 0.18/0.39  % (26930)Instructions burned: 2 (million)
% 0.18/0.39  % (26930)------------------------------
% 0.18/0.39  % (26930)------------------------------
% 0.18/0.39  % (26927)Success in time 0.03 s
%------------------------------------------------------------------------------