TSTP Solution File: CAT013-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CAT013-1 : 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 : n014.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 19:00:34 EDT 2024

% Result   : Unsatisfiable 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   26 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  17   ~;  11   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,plain,
    $false,
    inference(subsumption_resolution,[],[f40,f11]) ).

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

fof(f40,plain,
    ~ identity_map(codomain(a)),
    inference(resolution,[],[f34,f14]) ).

fof(f14,axiom,
    ! [X0] : product(X0,domain(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_domain) ).

fof(f34,plain,
    ! [X0] :
      ( ~ product(X0,domain(codomain(a)),codomain(a))
      | ~ identity_map(X0) ),
    inference(subsumption_resolution,[],[f28,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( defined(X0,X1)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property1) ).

fof(f28,plain,
    ! [X0] :
      ( ~ product(X0,domain(codomain(a)),codomain(a))
      | ~ identity_map(X0)
      | ~ defined(X0,domain(codomain(a))) ),
    inference(resolution,[],[f25,f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( product(X0,X1,X1)
      | ~ identity_map(X0)
      | ~ defined(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity1) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,domain(codomain(a)))
      | ~ product(X0,X1,codomain(a)) ),
    inference(resolution,[],[f22,f21]) ).

fof(f21,plain,
    ! [X2,X0,X1,X6] :
      ( sQ0_eqProxy(X2,X6)
      | ~ product(X0,X1,X6)
      | ~ product(X0,X1,X2) ),
    inference(equality_proxy_replacement,[],[f18,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f18,axiom,
    ! [X2,X0,X1,X6] :
      ( X2 = X6
      | ~ product(X0,X1,X6)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_well_defined) ).

fof(f22,plain,
    ~ sQ0_eqProxy(codomain(a),domain(codomain(a))),
    inference(equality_proxy_replacement,[],[f19,f20]) ).

fof(f19,axiom,
    codomain(a) != domain(codomain(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : CAT013-1 : TPTP v8.2.0. Released v1.0.0.
% 0.02/0.10  % 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
% 0.09/0.30  % Computer : n014.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sat May 18 11:44:07 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.09/0.30  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
% 0.57/0.78  % (16346)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.57/0.78  % (16345)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 (2995ds/51Mi)
% 0.57/0.78  % (16344)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 (2995ds/34Mi)
% 0.57/0.78  % (16347)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.57/0.78  % (16348)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.57/0.78  % (16349)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.57/0.78  % (16351)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 (2995ds/56Mi)
% 0.57/0.78  % (16349)Refutation not found, incomplete strategy% (16349)------------------------------
% 0.57/0.78  % (16349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (16349)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (16349)Memory used [KB]: 967
% 0.57/0.78  % (16349)Time elapsed: 0.002 s
% 0.57/0.78  % (16349)Instructions burned: 2 (million)
% 0.57/0.78  % (16344)Refutation not found, incomplete strategy% (16344)------------------------------
% 0.57/0.78  % (16344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (16344)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (16344)Memory used [KB]: 984
% 0.57/0.78  % (16344)Time elapsed: 0.003 s
% 0.57/0.78  % (16344)Instructions burned: 2 (million)
% 0.57/0.78  % (16347)Refutation not found, incomplete strategy% (16347)------------------------------
% 0.57/0.78  % (16347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (16347)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (16347)Memory used [KB]: 971
% 0.57/0.78  % (16347)Time elapsed: 0.002 s
% 0.57/0.78  % (16347)Instructions burned: 2 (million)
% 0.57/0.78  % (16349)------------------------------
% 0.57/0.78  % (16349)------------------------------
% 0.57/0.78  % (16344)------------------------------
% 0.57/0.78  % (16344)------------------------------
% 0.57/0.78  % (16347)------------------------------
% 0.57/0.78  % (16347)------------------------------
% 0.57/0.78  % (16348)First to succeed.
% 0.57/0.78  % (16348)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16343"
% 0.57/0.78  % (16346)Also succeeded, but the first one will report.
% 0.57/0.78  % (16348)Refutation found. Thanks to Tanya!
% 0.57/0.78  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.78  % (16348)------------------------------
% 0.57/0.78  % (16348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (16348)Termination reason: Refutation
% 0.57/0.78  
% 0.57/0.78  % (16348)Memory used [KB]: 996
% 0.57/0.78  % (16348)Time elapsed: 0.003 s
% 0.57/0.78  % (16348)Instructions burned: 3 (million)
% 0.57/0.78  % (16343)Success in time 0.461 s
% 0.57/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------