TSTP Solution File: COL018-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL018-1 : TPTP v8.1.2. 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 : 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 : Sun May  5 04:44:39 EDT 2024

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   1   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(resolution,[],[f12,f6]) ).

fof(f6,plain,
    ! [X0,X1] : sQ0_eqProxy(apply(apply(l,X0),X1),apply(X0,apply(X1,X1))),
    inference(equality_proxy_replacement,[],[f1,f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f1,axiom,
    ! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
    file('/export/starexec/sandbox/tmp/tmp.qAkJ6XSr6U/Vampire---4.8_23628',l_definition) ).

fof(f12,plain,
    ! [X0] : ~ sQ0_eqProxy(X0,apply(combinator,X0)),
    inference(resolution,[],[f9,f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ sQ0_eqProxy(X0,X1)
      | sQ0_eqProxy(X1,X0) ),
    inference(equality_proxy_axiom,[],[f5]) ).

fof(f9,plain,
    ! [X1] : ~ sQ0_eqProxy(apply(combinator,X1),X1),
    inference(equality_proxy_replacement,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox/tmp/tmp.qAkJ6XSr6U/Vampire---4.8_23628',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem    : COL018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.15  % 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
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 18:27:52 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  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/tmp/tmp.qAkJ6XSr6U/Vampire---4.8_23628
% 0.60/0.77  % (23736)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 Vampire---4 for (2996ds/34Mi)
% 0.60/0.77  % (23738)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77  % (23739)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.77  % (23741)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.77  % (23740)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 Vampire---4 for (2996ds/34Mi)
% 0.60/0.77  % (23742)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 Vampire---4 for (2996ds/83Mi)
% 0.60/0.77  % (23737)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 Vampire---4 for (2996ds/51Mi)
% 0.60/0.77  % (23743)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.77  % (23736)Refutation not found, incomplete strategy% (23736)------------------------------
% 0.60/0.77  % (23736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (23739)Refutation not found, incomplete strategy% (23739)------------------------------
% 0.60/0.77  % (23739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (23739)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (23739)Memory used [KB]: 946
% 0.60/0.77  % (23739)Time elapsed: 0.002 s
% 0.60/0.77  % (23739)Instructions burned: 2 (million)
% 0.60/0.77  % (23736)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  % (23741)Refutation not found, incomplete strategy% (23741)------------------------------
% 0.60/0.77  % (23741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  
% 0.60/0.77  % (23736)Memory used [KB]: 962
% 0.60/0.77  % (23736)Time elapsed: 0.002 s
% 0.60/0.77  % (23736)Instructions burned: 2 (million)
% 0.60/0.77  % (23741)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (23741)Memory used [KB]: 946
% 0.60/0.77  % (23741)Time elapsed: 0.002 s
% 0.60/0.77  % (23743)Refutation not found, incomplete strategy% (23743)------------------------------
% 0.60/0.77  % (23743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (23743)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (23743)Memory used [KB]: 947
% 0.60/0.77  % (23743)Time elapsed: 0.002 s
% 0.60/0.77  % (23743)Instructions burned: 2 (million)
% 0.60/0.77  % (23742)Refutation not found, incomplete strategy% (23742)------------------------------
% 0.60/0.77  % (23742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (23742)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (23742)Memory used [KB]: 946
% 0.60/0.77  % (23742)Time elapsed: 0.002 s
% 0.60/0.77  % (23742)Instructions burned: 2 (million)
% 0.60/0.77  % (23741)Instructions burned: 2 (million)
% 0.60/0.77  % (23740)First to succeed.
% 0.60/0.77  % (23736)------------------------------
% 0.60/0.77  % (23736)------------------------------
% 0.60/0.77  % (23739)------------------------------
% 0.60/0.77  % (23739)------------------------------
% 0.60/0.77  % (23743)------------------------------
% 0.60/0.77  % (23743)------------------------------
% 0.60/0.77  % (23742)------------------------------
% 0.60/0.77  % (23742)------------------------------
% 0.60/0.77  % (23741)------------------------------
% 0.60/0.77  % (23741)------------------------------
% 0.60/0.77  % (23737)Also succeeded, but the first one will report.
% 0.60/0.77  % (23740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23735"
% 0.60/0.77  % (23738)Also succeeded, but the first one will report.
% 0.60/0.77  % (23740)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (23740)------------------------------
% 0.60/0.77  % (23740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (23740)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (23740)Memory used [KB]: 971
% 0.60/0.77  % (23740)Time elapsed: 0.002 s
% 0.60/0.77  % (23740)Instructions burned: 2 (million)
% 0.60/0.77  % (23735)Success in time 0.398 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------