TSTP Solution File: SET821-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET821-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 09:08:37 EDT 2024

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   40 (   8 unt;   0 def)
%            Number of atoms       :   82 (   7 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   78 (  36   ~;  38   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f106,plain,
    $false,
    inference(avatar_sat_refutation,[],[f51,f70,f80,f94,f105]) ).

fof(f105,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f104]) ).

fof(f104,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f103,f10]) ).

fof(f10,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',clsarity_IntDef__Oint_31) ).

fof(f103,plain,
    ( ~ class_Orderings_Oorder(tc_IntDef_Oint)
    | ~ spl0_1 ),
    inference(resolution,[],[f96,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ c_less(X1,X1,X0)
      | ~ class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_Orderings_Oorder__less__irrefl__iff1_0) ).

fof(f96,plain,
    ( c_less(v_b,v_b,tc_IntDef_Oint)
    | ~ spl0_1 ),
    inference(superposition,[],[f8,f43]) ).

fof(f43,plain,
    ( v_b = v_c
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_1
  <=> v_b = v_c ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f8,axiom,
    c_less(v_b,v_c,tc_IntDef_Oint),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_conjecture_1) ).

fof(f94,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f82,f5]) ).

fof(f5,axiom,
    ! [X0,X1,X5] : c_in(X1,c_insert(X1,X5,X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_Set_OinsertCI_1) ).

fof(f82,plain,
    ( ! [X0] : ~ c_in(v_b,X0,tc_IntDef_Oint)
    | ~ spl0_6 ),
    inference(resolution,[],[f79,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0] :
      ( ~ c_in(X2,c_uminus(X3,tc_set(X0)),X0)
      | ~ c_in(X2,X3,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_Set_OComplD__dest_0) ).

fof(f79,plain,
    ( ! [X0] : c_in(v_b,X0,tc_IntDef_Oint)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl0_6
  <=> ! [X0] : c_in(v_b,X0,tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f80,plain,
    ( spl0_4
    | spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f76,f49,f78,f53]) ).

fof(f53,plain,
    ( spl0_4
  <=> v_a = v_b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f49,plain,
    ( spl0_3
  <=> ! [X0] :
        ( c_in(v_b,X0,tc_IntDef_Oint)
        | ~ c_in(v_a,X0,tc_IntDef_Oint) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f76,plain,
    ( ! [X0] :
        ( c_in(v_b,X0,tc_IntDef_Oint)
        | v_a = v_b )
    | ~ spl0_3 ),
    inference(resolution,[],[f71,f6]) ).

fof(f6,axiom,
    ! [X3,X0,X6,X4] :
      ( ~ c_in(X4,c_insert(X6,X3,X0),X0)
      | c_in(X4,X3,X0)
      | X4 = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_Set_OinsertE_0) ).

fof(f71,plain,
    ( ! [X0] : c_in(v_b,c_insert(v_a,X0,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ spl0_3 ),
    inference(resolution,[],[f50,f5]) ).

fof(f50,plain,
    ( ! [X0] :
        ( ~ c_in(v_a,X0,tc_IntDef_Oint)
        | c_in(v_b,X0,tc_IntDef_Oint) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f70,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f68,f10]) ).

fof(f68,plain,
    ( ~ class_Orderings_Oorder(tc_IntDef_Oint)
    | ~ spl0_4 ),
    inference(resolution,[],[f62,f1]) ).

fof(f62,plain,
    ( c_less(v_b,v_b,tc_IntDef_Oint)
    | ~ spl0_4 ),
    inference(superposition,[],[f7,f55]) ).

fof(f55,plain,
    ( v_a = v_b
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f7,axiom,
    c_less(v_a,v_b,tc_IntDef_Oint),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_conjecture_0) ).

fof(f51,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f37,f49,f41]) ).

fof(f37,plain,
    ! [X0] :
      ( c_in(v_b,X0,tc_IntDef_Oint)
      | v_b = v_c
      | ~ c_in(v_a,X0,tc_IntDef_Oint) ),
    inference(resolution,[],[f6,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( c_in(v_b,c_insert(v_c,X0,tc_IntDef_Oint),tc_IntDef_Oint)
      | ~ c_in(v_a,X0,tc_IntDef_Oint) ),
    inference(resolution,[],[f4,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ c_in(v_a,c_insert(v_c,X0,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_in(v_b,c_insert(v_c,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(resolution,[],[f15,f5]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ c_in(v_c,X0,tc_IntDef_Oint)
      | c_in(v_b,X0,tc_IntDef_Oint)
      | ~ c_in(v_a,X0,tc_IntDef_Oint) ),
    inference(resolution,[],[f14,f2]) ).

fof(f14,plain,
    ! [X0] :
      ( c_in(v_a,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
      | c_in(v_b,X0,tc_IntDef_Oint)
      | ~ c_in(v_c,X0,tc_IntDef_Oint) ),
    inference(resolution,[],[f12,f2]) ).

fof(f12,plain,
    ! [X0] :
      ( c_in(v_c,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
      | c_in(v_a,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
      | c_in(v_b,X0,tc_IntDef_Oint) ),
    inference(resolution,[],[f3,f9]) ).

fof(f9,axiom,
    ! [X7] :
      ( ~ c_in(v_b,X7,tc_IntDef_Oint)
      | c_in(v_a,X7,tc_IntDef_Oint)
      | c_in(v_c,X7,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_conjecture_2) ).

fof(f3,axiom,
    ! [X2,X3,X0] :
      ( c_in(X2,c_uminus(X3,tc_set(X0)),X0)
      | c_in(X2,X3,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_Set_OComplI_0) ).

fof(f4,axiom,
    ! [X0,X6,X4,X5] :
      ( c_in(X4,c_insert(X6,X5,X0),X0)
      | ~ c_in(X4,X5,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.eWE5MZfEFp/Vampire---4.8_18358',cls_Set_OinsertCI_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11  % 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
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 16:56:52 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.15/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.31  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.eWE5MZfEFp/Vampire---4.8_18358
% 0.60/0.76  % (18470)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)
% 0.60/0.76  % (18468)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)
% 0.60/0.76  % (18472)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)
% 0.60/0.76  % (18467)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)
% 0.60/0.76  % (18469)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.76  % (18471)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)
% 0.60/0.77  % (18473)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)
% 0.60/0.77  % (18472)Refutation not found, incomplete strategy% (18472)------------------------------
% 0.60/0.77  % (18472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18470)Refutation not found, incomplete strategy% (18470)------------------------------
% 0.60/0.77  % (18470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18470)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (18470)Memory used [KB]: 949
% 0.60/0.77  % (18470)Time elapsed: 0.002 s
% 0.60/0.77  % (18470)Instructions burned: 2 (million)
% 0.60/0.77  % (18472)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (18472)Memory used [KB]: 949
% 0.60/0.77  % (18472)Time elapsed: 0.002 s
% 0.60/0.77  % (18472)Instructions burned: 2 (million)
% 0.60/0.77  % (18474)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 (2995ds/56Mi)
% 0.60/0.77  % (18470)------------------------------
% 0.60/0.77  % (18470)------------------------------
% 0.60/0.77  % (18472)------------------------------
% 0.60/0.77  % (18472)------------------------------
% 0.60/0.77  % (18467)Refutation not found, incomplete strategy% (18467)------------------------------
% 0.60/0.77  % (18467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18467)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (18467)Memory used [KB]: 979
% 0.60/0.77  % (18467)Time elapsed: 0.003 s
% 0.60/0.77  % (18467)Instructions burned: 2 (million)
% 0.60/0.77  % (18473)Refutation not found, incomplete strategy% (18473)------------------------------
% 0.60/0.77  % (18473)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18473)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (18473)Memory used [KB]: 949
% 0.60/0.77  % (18473)Time elapsed: 0.002 s
% 0.60/0.77  % (18473)Instructions burned: 2 (million)
% 0.60/0.77  % (18467)------------------------------
% 0.60/0.77  % (18467)------------------------------
% 0.60/0.77  % (18471)Refutation not found, incomplete strategy% (18471)------------------------------
% 0.60/0.77  % (18471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18471)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (18471)Memory used [KB]: 969
% 0.60/0.77  % (18471)Time elapsed: 0.003 s
% 0.60/0.77  % (18471)Instructions burned: 3 (million)
% 0.60/0.77  % (18474)Refutation not found, incomplete strategy% (18474)------------------------------
% 0.60/0.77  % (18474)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18474)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (18474)Memory used [KB]: 946
% 0.60/0.77  % (18474)Time elapsed: 0.002 s
% 0.60/0.77  % (18474)Instructions burned: 2 (million)
% 0.60/0.77  % (18473)------------------------------
% 0.60/0.77  % (18473)------------------------------
% 0.60/0.77  % (18471)------------------------------
% 0.60/0.77  % (18471)------------------------------
% 0.60/0.77  % (18474)------------------------------
% 0.60/0.77  % (18474)------------------------------
% 0.60/0.77  % (18468)First to succeed.
% 0.60/0.77  % (18468)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18465"
% 0.60/0.77  % (18468)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  % (18468)------------------------------
% 0.60/0.77  % (18468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18468)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (18468)Memory used [KB]: 1002
% 0.60/0.77  % (18468)Time elapsed: 0.005 s
% 0.60/0.77  % (18468)Instructions burned: 5 (million)
% 0.60/0.77  % (18465)Success in time 0.45 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------