TSTP Solution File: SET820-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET820-2 : TPTP v8.2.0. 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 : Tue May 21 03:13:26 EDT 2024

% Result   : Unsatisfiable 0.55s 0.73s
% Output   : Refutation 0.55s
% 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    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(resolution,[],[f19,f4]) ).

fof(f4,axiom,
    v_P(v_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f19,plain,
    ! [X0] : ~ v_P(X0),
    inference(superposition,[],[f9,f17]) ).

fof(f17,plain,
    ! [X0] : v_x(c_insert(X0,c_emptyset,tc_IntDef_Oint)) = X0,
    inference(resolution,[],[f13,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] : c_in(X2,c_insert(X2,X3,X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
      | v_x(c_insert(X0,c_emptyset,tc_IntDef_Oint)) = X0 ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( c_in(v_x(c_insert(X0,X1,tc_IntDef_Oint)),X1,tc_IntDef_Oint)
      | v_x(c_insert(X0,X1,tc_IntDef_Oint)) = X0
      | ~ c_in(X2,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
    inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
    ! [X6,X7] :
      ( c_in(v_x(X7),X7,tc_IntDef_Oint)
      | ~ c_in(X6,X7,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

fof(f9,plain,
    ! [X0,X1] : ~ v_P(v_x(c_insert(X0,X1,tc_IntDef_Oint))),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X8,X7] :
      ( ~ c_in(X8,X7,tc_IntDef_Oint)
      | ~ v_P(v_x(X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET820-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n003.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   : Mon May 20 11:15:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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
% 0.55/0.73  % (20382)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)
% 0.55/0.73  % (20382)Refutation not found, incomplete strategy% (20382)------------------------------
% 0.55/0.73  % (20382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (20382)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (20382)Memory used [KB]: 944
% 0.55/0.73  % (20382)Time elapsed: 0.001 s
% 0.55/0.73  % (20382)Instructions burned: 2 (million)
% 0.55/0.73  % (20382)------------------------------
% 0.55/0.73  % (20382)------------------------------
% 0.55/0.73  % (20377)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (20375)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)
% 0.55/0.73  % (20378)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)
% 0.55/0.73  % (20376)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)
% 0.55/0.73  % (20379)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 (2996ds/34Mi)
% 0.55/0.73  % (20378)Refutation not found, incomplete strategy% (20378)------------------------------
% 0.55/0.73  % (20378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (20375)Refutation not found, incomplete strategy% (20375)------------------------------
% 0.55/0.73  % (20375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (20375)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (20375)Memory used [KB]: 961
% 0.55/0.73  % (20375)Time elapsed: 0.002 s
% 0.55/0.73  % (20375)Instructions burned: 2 (million)
% 0.55/0.73  % (20378)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (20378)Memory used [KB]: 944
% 0.55/0.73  % (20378)Time elapsed: 0.002 s
% 0.55/0.73  % (20378)Instructions burned: 2 (million)
% 0.55/0.73  % (20379)Refutation not found, incomplete strategy% (20379)------------------------------
% 0.55/0.73  % (20379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (20379)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (20379)Memory used [KB]: 965
% 0.55/0.73  % (20379)Time elapsed: 0.002 s
% 0.55/0.73  % (20379)Instructions burned: 2 (million)
% 0.55/0.73  % (20375)------------------------------
% 0.55/0.73  % (20375)------------------------------
% 0.55/0.73  % (20378)------------------------------
% 0.55/0.73  % (20378)------------------------------
% 0.55/0.73  % (20379)------------------------------
% 0.55/0.73  % (20379)------------------------------
% 0.55/0.73  % (20376)First to succeed.
% 0.55/0.73  % (20376)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20374"
% 0.55/0.73  % (20377)Also succeeded, but the first one will report.
% 0.55/0.73  % (20381)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)
% 0.55/0.73  % (20381)Refutation not found, incomplete strategy% (20381)------------------------------
% 0.55/0.73  % (20381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (20381)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (20381)Memory used [KB]: 945
% 0.55/0.73  % (20381)Time elapsed: 0.001 s
% 0.55/0.73  % (20381)Instructions burned: 2 (million)
% 0.55/0.73  % (20376)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.55/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.73  % (20376)------------------------------
% 0.55/0.73  % (20376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (20376)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (20376)Memory used [KB]: 976
% 0.55/0.73  % (20376)Time elapsed: 0.003 s
% 0.55/0.73  % (20376)Instructions burned: 3 (million)
% 0.55/0.73  % (20374)Success in time 0.376 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------