TSTP Solution File: SET025-8 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET025-8 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 03:15:28 EDT 2024

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f213,plain,
    $false,
    inference(resolution,[],[f211,f153]) ).

fof(f153,axiom,
    ~ little_set(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_predicate_is_small) ).

fof(f211,plain,
    little_set(a),
    inference(superposition,[],[f151,f209]) ).

fof(f209,plain,
    a = ordered_pair(f2(a),f3(a)),
    inference(resolution,[],[f13,f152]) ).

fof(f152,axiom,
    ordered_pair_predicate(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_ordered_pair_predicate) ).

fof(f13,axiom,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | ordered_pair(f2(X0),f3(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate3) ).

fof(f151,axiom,
    ! [X0,X1] : little_set(ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pairs_are_small1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SET025-8 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 13:18:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.36  % (11753)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (11755)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40  % (11756)WARNING: value z3 for option sas not known
% 0.22/0.40  % (11760)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)
% 0.22/0.40  % (11759)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)
% 0.22/0.40  % (11757)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40  % (11754)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40  % (11756)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)
% 0.22/0.40  % (11758)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)
% 0.22/0.41  % (11759)First to succeed.
% 0.22/0.41  % (11759)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11753"
% 0.22/0.41  % (11759)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41  % (11759)------------------------------
% 0.22/0.41  % (11759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41  % (11759)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (11759)Memory used [KB]: 1053
% 0.22/0.41  % (11759)Time elapsed: 0.012 s
% 0.22/0.41  % (11759)Instructions burned: 12 (million)
% 0.22/0.41  % (11753)Success in time 0.048 s
%------------------------------------------------------------------------------