TSTP Solution File: SET822-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET822-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 : Wed May  1 03:49:07 EDT 2024

% Result   : Unsatisfiable 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   19 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(resolution,[],[f14,f4]) ).

fof(f4,axiom,
    v_P(v_f(v_b)),
    file('/export/starexec/sandbox2/tmp/tmp.BYJQFfczwK/Vampire---4.8_27110',cls_conjecture_0) ).

fof(f14,plain,
    ! [X0] : ~ v_P(v_f(X0)),
    inference(superposition,[],[f8,f13]) ).

fof(f13,plain,
    ! [X0] : v_f(X0) = v_x(X0,c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint)),
    inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] : c_in(X2,c_insert(X2,X3,X1),X1),
    file('/export/starexec/sandbox2/tmp/tmp.BYJQFfczwK/Vampire---4.8_27110',cls_Set_OinsertCI_1) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ c_in(v_f(X0),c_insert(X1,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
      | v_x(X0,c_insert(X1,c_emptyset,tc_IntDef_Oint)) = X1 ),
    inference(resolution,[],[f9,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
    file('/export/starexec/sandbox2/tmp/tmp.BYJQFfczwK/Vampire---4.8_27110',cls_Set_OemptyE_0) ).

fof(f9,plain,
    ! [X2,X0,X1] :
      ( c_in(v_x(X0,c_insert(X1,X2,tc_IntDef_Oint)),X2,tc_IntDef_Oint)
      | v_x(X0,c_insert(X1,X2,tc_IntDef_Oint)) = X1
      | ~ c_in(v_f(X0),c_insert(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X6,X7] :
      ( c_in(v_x(X6,X7),X7,tc_IntDef_Oint)
      | ~ c_in(v_f(X6),X7,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox2/tmp/tmp.BYJQFfczwK/Vampire---4.8_27110',cls_conjecture_1) ).

fof(f3,axiom,
    ! [X0,X1,X4,X5] :
      ( ~ c_in(X0,c_insert(X4,X5,X1),X1)
      | c_in(X0,X5,X1)
      | X0 = X4 ),
    file('/export/starexec/sandbox2/tmp/tmp.BYJQFfczwK/Vampire---4.8_27110',cls_Set_OinsertE_0) ).

fof(f8,plain,
    ! [X0,X1] : ~ v_P(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint))),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X6,X7] :
      ( ~ c_in(v_f(X6),X7,tc_IntDef_Oint)
      | ~ v_P(v_x(X6,X7)) ),
    file('/export/starexec/sandbox2/tmp/tmp.BYJQFfczwK/Vampire---4.8_27110',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET822-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 17:57:26 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.BYJQFfczwK/Vampire---4.8_27110
% 0.62/0.80  % (27329)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 (2995ds/51Mi)
% 0.62/0.80  % (27334)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 (2995ds/83Mi)
% 0.62/0.80  % (27334)Refutation not found, incomplete strategy% (27334)------------------------------
% 0.62/0.80  % (27334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (27334)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (27334)Memory used [KB]: 945
% 0.62/0.80  % (27334)Time elapsed: 0.002 s
% 0.62/0.80  % (27334)Instructions burned: 2 (million)
% 0.62/0.80  % (27334)------------------------------
% 0.62/0.80  % (27334)------------------------------
% 0.62/0.80  % (27329)First to succeed.
% 0.62/0.80  % (27328)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 (2995ds/34Mi)
% 0.62/0.80  % (27330)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (27331)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80  % (27332)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 (2995ds/34Mi)
% 0.62/0.80  % (27333)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80  % (27329)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (27329)------------------------------
% 0.62/0.80  % (27329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (27329)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (27329)Memory used [KB]: 976
% 0.62/0.80  % (27329)Time elapsed: 0.004 s
% 0.62/0.80  % (27329)Instructions burned: 3 (million)
% 0.62/0.80  % (27329)------------------------------
% 0.62/0.80  % (27329)------------------------------
% 0.62/0.80  % (27302)Success in time 0.43 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------