TSTP Solution File: CAT005-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CAT005-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 : Mon May 20 19:00:30 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   21 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,plain,
    $false,
    inference(subsumption_resolution,[],[f56,f21]) ).

fof(f21,axiom,
    d != domain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).

fof(f56,plain,
    d = domain(a),
    inference(subsumption_resolution,[],[f52,f35]) ).

fof(f35,plain,
    there_exists(d),
    inference(subsumption_resolution,[],[f33,f23]) ).

fof(f23,plain,
    there_exists(domain(a)),
    inference(unit_resulting_resolution,[],[f18,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).

fof(f18,axiom,
    there_exists(compose(a,d)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ad_exists) ).

fof(f33,plain,
    ( ~ there_exists(domain(a))
    | there_exists(d) ),
    inference(superposition,[],[f5,f24]) ).

fof(f24,plain,
    domain(a) = codomain(d),
    inference(unit_resulting_resolution,[],[f18,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ there_exists(codomain(X0))
      | there_exists(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_has_elements) ).

fof(f52,plain,
    ( ~ there_exists(d)
    | d = domain(a) ),
    inference(superposition,[],[f19,f34]) ).

fof(f34,plain,
    d = compose(domain(a),d),
    inference(superposition,[],[f11,f24]) ).

fof(f11,axiom,
    ! [X0] : compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).

fof(f19,axiom,
    ! [X0] :
      ( ~ there_exists(compose(X0,d))
      | compose(X0,d) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xd_equals_x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : CAT005-3 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n002.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   : Sat May 18 11:41:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74  % (13482)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.75  % (13476)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.75  % (13478)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75  % (13477)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.75  % (13481)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.75  % (13479)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.75  % (13482)First to succeed.
% 0.55/0.75  % (13482)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13475"
% 0.55/0.75  % (13483)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75  % (13482)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.55/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.75  % (13482)------------------------------
% 0.55/0.75  % (13482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (13482)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (13482)Memory used [KB]: 996
% 0.55/0.75  % (13482)Time elapsed: 0.003 s
% 0.55/0.75  % (13482)Instructions burned: 4 (million)
% 0.55/0.75  % (13475)Success in time 0.38 s
% 0.55/0.75  % Vampire---4.8 exiting
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