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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT268-2 : 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 : Mon May 20 23:34:03 EDT 2024

% Result   : Unsatisfiable 0.75s 0.92s
% Output   : Refutation 0.75s
% 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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LAT268-2 : TPTP v8.2.0. Released v3.2.0.
% 0.08/0.14  % 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
% 0.15/0.36  % Computer : n003.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   : Sun May 19 19:37:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.36  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
% 0.75/0.92  % (21880)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 (2994ds/34Mi)
% 0.75/0.92  % (21883)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.75/0.92  % (21885)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.75/0.92  % (21881)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 (2994ds/51Mi)
% 0.75/0.92  % (21882)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.75/0.92  % (21886)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 (2994ds/83Mi)
% 0.75/0.92  % (21884)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 (2994ds/34Mi)
% 0.75/0.92  % (21887)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 (2994ds/56Mi)
% 0.75/0.92  % (21887)Refutation not found, incomplete strategy% (21887)------------------------------
% 0.75/0.92  % (21887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.92  % (21887)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.92  
% 0.75/0.92  % (21887)Memory used [KB]: 954
% 0.75/0.92  % (21887)Time elapsed: 0.003 s
% 0.75/0.92  % (21887)Instructions burned: 2 (million)
% 0.75/0.92  % (21885)Refutation not found, incomplete strategy% (21885)------------------------------
% 0.75/0.92  % (21885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.92  % (21885)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.92  
% 0.75/0.92  % (21885)Memory used [KB]: 956
% 0.75/0.92  % (21885)Time elapsed: 0.003 s
% 0.75/0.92  % (21885)Instructions burned: 2 (million)
% 0.75/0.92  % (21883)Refutation not found, incomplete strategy% (21883)------------------------------
% 0.75/0.92  % (21883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.92  % (21883)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.92  
% 0.75/0.92  % (21883)Memory used [KB]: 958
% 0.75/0.92  % (21883)Time elapsed: 0.003 s
% 0.75/0.92  % (21883)Instructions burned: 2 (million)
% 0.75/0.92  % (21886)Refutation not found, incomplete strategy% (21886)------------------------------
% 0.75/0.92  % (21886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.92  % (21887)------------------------------
% 0.75/0.92  % (21887)------------------------------
% 0.75/0.92  % (21886)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.92  
% 0.75/0.92  % (21886)Memory used [KB]: 958
% 0.75/0.92  % (21886)Time elapsed: 0.003 s
% 0.75/0.92  % (21886)Instructions burned: 3 (million)
% 0.75/0.92  % (21883)------------------------------
% 0.75/0.92  % (21883)------------------------------
% 0.75/0.92  % (21885)------------------------------
% 0.75/0.92  % (21885)------------------------------
% 0.75/0.92  % (21886)------------------------------
% 0.75/0.92  % (21886)------------------------------
% 0.75/0.92  % (21882)First to succeed.
% 0.75/0.92  % (21884)Refutation not found, incomplete strategy% (21884)------------------------------
% 0.75/0.92  % (21884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.92  % (21884)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.92  
% 0.75/0.92  % (21884)Memory used [KB]: 956
% 0.75/0.92  % (21884)Time elapsed: 0.003 s
% 0.75/0.92  % (21884)Instructions burned: 2 (million)
% 0.75/0.92  % (21881)Also succeeded, but the first one will report.
% 0.75/0.92  % (21884)------------------------------
% 0.75/0.92  % (21884)------------------------------
% 0.75/0.92  % (21882)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21879"
% 0.75/0.92  % (21880)Refutation not found, incomplete strategy% (21880)------------------------------
% 0.75/0.92  % (21880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.92  % (21880)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.92  
% 0.75/0.92  % (21880)Memory used [KB]: 1037
% 0.75/0.92  % (21880)Time elapsed: 0.005 s
% 0.75/0.92  % (21880)Instructions burned: 7 (million)
% 0.75/0.92  % (21882)Refutation found. Thanks to Tanya!
% 0.75/0.92  % SZS status Unsatisfiable for theBenchmark
% 0.75/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.92  % (21882)------------------------------
% 0.75/0.92  % (21882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.92  % (21882)Termination reason: Refutation
% 0.75/0.92  
% 0.75/0.92  % (21882)Memory used [KB]: 987
% 0.75/0.92  % (21882)Time elapsed: 0.005 s
% 0.75/0.92  % (21882)Instructions burned: 4 (million)
% 0.75/0.92  % (21879)Success in time 0.552 s
% 0.75/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------