TSTP Solution File: LAT263-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT263-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 : Mon May 20 23:34:00 EDT 2024

% Result   : Unsatisfiable 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   27 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(subsumption_resolution,[],[f16,f1]) ).

fof(f1,axiom,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f16,plain,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(resolution,[],[f15,f9]) ).

fof(f9,plain,
    ~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
    inference(definition_unfolding,[],[f2,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : c_Tarski_Oglb(X2,X0,X1) = c_Tarski_Olub(X2,c_Tarski_Odual(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).

fof(f2,axiom,
    ~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f15,plain,
    ! [X0] :
      ( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
    inference(forward_demodulation,[],[f14,f3]) ).

fof(f3,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f14,plain,
    ! [X0] :
      ( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
    inference(forward_demodulation,[],[f13,f8]) ).

fof(f8,axiom,
    ! [X0,X1] : c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

fof(f13,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,v_A,tc_set(t_a))
      | c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a) ),
    inference(forward_demodulation,[],[f12,f3]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
      | c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a) ),
    inference(forward_demodulation,[],[f11,f8]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ 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_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a) ),
    inference(subsumption_resolution,[],[f10,f5]) ).

fof(f5,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/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

fof(f10,plain,
    ! [X0] :
      ( ~ 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_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),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)) ),
    inference(resolution,[],[f4,f6]) ).

fof(f6,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/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
      | c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1)
      | ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : LAT263-2 : TPTP v8.2.0. Released v3.2.0.
% 0.17/0.17  % 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
% 0.17/0.38  % Computer : n013.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Sun May 19 19:51:23 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.17/0.39  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/benchmark/theBenchmark.p
% 0.60/0.77  % (7740)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)
% 0.60/0.77  % (7738)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.77  % (7733)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)
% 0.60/0.77  % (7735)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.77  % (7734)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)
% 0.60/0.77  % (7736)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)
% 0.60/0.77  % (7737)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)
% 0.60/0.77  % (7740)Refutation not found, incomplete strategy% (7740)------------------------------
% 0.60/0.77  % (7740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7738)Refutation not found, incomplete strategy% (7738)------------------------------
% 0.60/0.77  % (7738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7738)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7738)Memory used [KB]: 951
% 0.60/0.77  % (7738)Time elapsed: 0.001 s
% 0.60/0.77  % (7738)Instructions burned: 2 (million)
% 0.60/0.77  % (7740)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7740)Memory used [KB]: 951
% 0.60/0.77  % (7740)Time elapsed: 0.003 s
% 0.60/0.77  % (7740)Instructions burned: 2 (million)
% 0.60/0.77  % (7738)------------------------------
% 0.60/0.77  % (7738)------------------------------
% 0.60/0.77  % (7740)------------------------------
% 0.60/0.77  % (7740)------------------------------
% 0.60/0.77  % (7733)Refutation not found, incomplete strategy% (7733)------------------------------
% 0.60/0.77  % (7733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7733)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7733)Memory used [KB]: 950
% 0.60/0.77  % (7733)Time elapsed: 0.003 s
% 0.60/0.77  % (7733)Instructions burned: 2 (million)
% 0.60/0.77  % (7736)Refutation not found, incomplete strategy% (7736)------------------------------
% 0.60/0.77  % (7736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7736)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7736)Memory used [KB]: 952
% 0.60/0.77  % (7736)Time elapsed: 0.002 s
% 0.60/0.77  % (7736)Instructions burned: 2 (million)
% 0.60/0.77  % (7733)------------------------------
% 0.60/0.77  % (7733)------------------------------
% 0.60/0.77  % (7736)------------------------------
% 0.60/0.77  % (7736)------------------------------
% 0.60/0.77  % (7735)First to succeed.
% 0.60/0.77  % (7737)Refutation not found, incomplete strategy% (7737)------------------------------
% 0.60/0.77  % (7737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (7737)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (7737)Memory used [KB]: 951
% 0.60/0.77  % (7737)Time elapsed: 0.003 s
% 0.60/0.77  % (7737)Instructions burned: 2 (million)
% 0.60/0.77  % (7734)Also succeeded, but the first one will report.
% 0.60/0.77  % (7737)------------------------------
% 0.60/0.77  % (7737)------------------------------
% 0.60/0.77  % (7735)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7732"
% 0.60/0.78  % (7735)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.78  % (7735)------------------------------
% 0.60/0.78  % (7735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (7735)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (7735)Memory used [KB]: 965
% 0.60/0.78  % (7735)Time elapsed: 0.003 s
% 0.60/0.78  % (7735)Instructions burned: 3 (million)
% 0.60/0.78  % (7732)Success in time 0.379 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------