TSTP Solution File: NUM183-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 : Sun May  5 08:18:26 EDT 2024

% Result   : Unsatisfiable 2.00s 0.63s
% Output   : Refutation 2.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   19 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23792,plain,
    $false,
    inference(subsumption_resolution,[],[f23791,f161]) ).

fof(f161,axiom,
    ~ member(x,limit_ordinals),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_3) ).

fof(f23791,plain,
    member(x,limit_ordinals),
    inference(forward_demodulation,[],[f22403,f139]) ).

fof(f139,axiom,
    intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',limit_ordinals) ).

fof(f22403,plain,
    member(x,intersection(complement(kind_1_ordinals),ordinal_numbers)),
    inference(unit_resulting_resolution,[],[f10480,f159,f23]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,X0)
      | ~ member(X4,X1)
      | member(X4,intersection(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

fof(f159,axiom,
    member(x,ordinal_numbers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_1) ).

fof(f10480,plain,
    member(x,complement(kind_1_ordinals)),
    inference(unit_resulting_resolution,[],[f160,f1563,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( ~ member(X4,universal_class)
      | member(X4,X0)
      | member(X4,complement(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f1563,plain,
    member(x,universal_class),
    inference(unit_resulting_resolution,[],[f4,f159,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ subclass(X0,X1)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f160,axiom,
    ~ member(x,kind_1_ordinals),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 13:54:33 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (7514)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (7521)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37  % (7517)WARNING: value z3 for option sas not known
% 0.15/0.38  % (7515)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (7516)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (7518)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (7517)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (7519)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (7520)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.42  TRYING [1]
% 0.21/0.43  TRYING [2]
% 0.21/0.50  TRYING [3]
% 0.21/0.54  TRYING [1]
% 0.21/0.55  TRYING [2]
% 1.83/0.61  TRYING [4]
% 2.00/0.63  % (7521)First to succeed.
% 2.00/0.63  % (7521)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7514"
% 2.00/0.63  % (7521)Refutation found. Thanks to Tanya!
% 2.00/0.63  % SZS status Unsatisfiable for theBenchmark
% 2.00/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.63  % (7521)------------------------------
% 2.00/0.63  % (7521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.00/0.63  % (7521)Termination reason: Refutation
% 2.00/0.63  
% 2.00/0.63  % (7521)Memory used [KB]: 8124
% 2.00/0.63  % (7521)Time elapsed: 0.262 s
% 2.00/0.63  % (7521)Instructions burned: 768 (million)
% 2.00/0.63  % (7514)Success in time 0.259 s
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