TSTP Solution File: LAT268-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT268-2 : 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 : n004.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 03:07:42 EDT 2024

% Result   : Unsatisfiable 0.61s 0.75s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   40 (   4 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   42 (  23   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   9 con; 0-4 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f2]) ).

fof(f2,axiom,
    c_in(v_x,v_S,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_conjecture_1) ).

fof(f20,plain,
    ~ c_in(v_x,v_S,t_a),
    inference(subsumption_resolution,[],[f19,f1]) ).

fof(f1,axiom,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_conjecture_0) ).

fof(f19,plain,
    ( ~ c_lessequals(v_S,v_A,tc_set(t_a))
    | ~ c_in(v_x,v_S,t_a) ),
    inference(resolution,[],[f18,f12]) ).

fof(f12,plain,
    ~ c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(definition_unfolding,[],[f3,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X1] : c_Tarski_Oglb(X1,X3,X2) = c_Tarski_Olub(X1,c_Tarski_Odual(X3,X2),X2),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_Oglb__dual__lub_0) ).

fof(f3,axiom,
    ~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_conjecture_2) ).

fof(f18,plain,
    ! [X0,X1] :
      ( c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_lessequals(X0,v_A,tc_set(t_a))
      | ~ c_in(X1,X0,t_a) ),
    inference(forward_demodulation,[],[f17,f11]) ).

fof(f11,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,v_A,tc_set(t_a))
      | ~ c_in(X1,X0,t_a)
      | c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f16,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X4] :
      ( ~ c_in(c_Pair(X0,X4,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
      | c_in(c_Pair(X4,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).

fof(f16,plain,
    ! [X0,X1] :
      ( c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
      | ~ c_lessequals(X0,v_A,tc_set(t_a))
      | ~ c_in(X1,X0,t_a) ),
    inference(forward_demodulation,[],[f15,f4]) ).

fof(f4,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
      | c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
      | ~ c_in(X1,X0,t_a) ),
    inference(forward_demodulation,[],[f14,f10]) ).

fof(f10,axiom,
    ! [X2,X3] : c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))
      | c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
      | ~ c_in(X1,X0,t_a) ),
    inference(subsumption_resolution,[],[f13,f7]) ).

fof(f7,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))
      | c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
      | ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
      | ~ c_in(X1,X0,t_a) ),
    inference(resolution,[],[f5,f8]) ).

fof(f8,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
      | ~ c_lessequals(X1,c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit),tc_set(X2))
      | c_in(c_Pair(X0,c_Tarski_Olub(X1,X3,X2),X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
      | ~ c_in(X3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9FX5i5LZBb/Vampire---4.8_8513',cls_Tarski_OCL_Olub__upper_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT268-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:16:18 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37  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.9FX5i5LZBb/Vampire---4.8_8513
% 0.54/0.75  % (8834)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)
% 0.54/0.75  % (8831)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)
% 0.54/0.75  % (8833)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (8832)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)
% 0.54/0.75  % (8836)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)
% 0.54/0.75  % (8838)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)
% 0.54/0.75  % (8834)Refutation not found, incomplete strategy% (8834)------------------------------
% 0.54/0.75  % (8834)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (8834)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8834)Memory used [KB]: 957
% 0.54/0.75  % (8834)Time elapsed: 0.002 s
% 0.54/0.75  % (8834)Instructions burned: 2 (million)
% 0.54/0.75  % (8834)------------------------------
% 0.54/0.75  % (8834)------------------------------
% 0.54/0.75  % (8836)Refutation not found, incomplete strategy% (8836)------------------------------
% 0.54/0.75  % (8836)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (8836)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8838)Refutation not found, incomplete strategy% (8838)------------------------------
% 0.54/0.75  % (8838)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (8838)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8838)Memory used [KB]: 954
% 0.54/0.75  % (8838)Time elapsed: 0.002 s
% 0.54/0.75  % (8838)Instructions burned: 2 (million)
% 0.54/0.75  % (8838)------------------------------
% 0.54/0.75  % (8838)------------------------------
% 0.54/0.75  % (8836)Memory used [KB]: 956
% 0.54/0.75  % (8836)Time elapsed: 0.003 s
% 0.54/0.75  % (8836)Instructions burned: 2 (million)
% 0.54/0.75  % (8836)------------------------------
% 0.54/0.75  % (8836)------------------------------
% 0.54/0.75  % (8837)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)
% 0.54/0.75  % (8835)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)
% 0.54/0.75  % (8833)First to succeed.
% 0.54/0.75  % (8835)Refutation not found, incomplete strategy% (8835)------------------------------
% 0.54/0.75  % (8835)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (8835)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8835)Memory used [KB]: 956
% 0.54/0.75  % (8835)Time elapsed: 0.003 s
% 0.54/0.75  % (8835)Instructions burned: 2 (million)
% 0.54/0.75  % (8835)------------------------------
% 0.54/0.75  % (8835)------------------------------
% 0.61/0.75  % (8837)Refutation not found, incomplete strategy% (8837)------------------------------
% 0.61/0.75  % (8837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.75  % (8837)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75  
% 0.61/0.75  % (8837)Memory used [KB]: 958
% 0.61/0.75  % (8837)Time elapsed: 0.003 s
% 0.61/0.75  % (8837)Instructions burned: 3 (million)
% 0.61/0.75  % (8837)------------------------------
% 0.61/0.75  % (8837)------------------------------
% 0.61/0.75  % (8831)Refutation not found, incomplete strategy% (8831)------------------------------
% 0.61/0.75  % (8831)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.75  % (8831)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75  
% 0.61/0.75  % (8831)Memory used [KB]: 1037
% 0.61/0.75  % (8831)Time elapsed: 0.005 s
% 0.61/0.75  % (8831)Instructions burned: 7 (million)
% 0.61/0.75  % (8831)------------------------------
% 0.61/0.75  % (8831)------------------------------
% 0.61/0.75  % (8833)Refutation found. Thanks to Tanya!
% 0.61/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.75  % (8833)------------------------------
% 0.61/0.75  % (8833)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.75  % (8833)Termination reason: Refutation
% 0.61/0.75  
% 0.61/0.75  % (8833)Memory used [KB]: 986
% 0.61/0.75  % (8833)Time elapsed: 0.004 s
% 0.61/0.75  % (8833)Instructions burned: 4 (million)
% 0.61/0.75  % (8833)------------------------------
% 0.61/0.75  % (8833)------------------------------
% 0.61/0.75  % (8789)Success in time 0.377 s
% 0.61/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------