TSTP Solution File: LCL817-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL817-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n012.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 03:20:20 EDT 2024

% Result   : Unsatisfiable 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   57 (   1 equ)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   44 (  44 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    8 (   7   !;   0   ?;   8   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_29,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f327,plain,
    $false,
    inference(subsumption_resolution,[],[f326,f257]) ).

tff(f257,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/tmp/tmp.BEhF96RzAL/Vampire---4.8_32032',cls_uT_0) ).

tff(f326,plain,
    ~ c_Type_Otyping(v_e____,v_u____,v_T____),
    inference(resolution,[],[f322,f295]) ).

tff(f295,plain,
    ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_n____),v_T_H_H____),
    inference(definition_unfolding,[],[f272,f263]) ).

tff(f263,axiom,
    v_i____ = v_n____,
    file('/export/starexec/sandbox/tmp/tmp.BEhF96RzAL/Vampire---4.8_32032',cls_True_0) ).

tff(f272,axiom,
    ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
    file('/export/starexec/sandbox/tmp/tmp.BEhF96RzAL/Vampire---4.8_32032',cls_conjecture_0) ).

tff(f322,plain,
    ! [X0: $i] :
      ( c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,X0,v_n____),v_T_H_H____)
      | ~ c_Type_Otyping(v_e____,X0,v_T____) ),
    inference(resolution,[],[f269,f296]) ).

tff(f296,plain,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    inference(definition_unfolding,[],[f271,f263]) ).

tff(f271,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    file('/export/starexec/sandbox/tmp/tmp.BEhF96RzAL/Vampire---4.8_32032',cls_CHAINED_0_01) ).

tff(f269,axiom,
    ! [X59: $i,X36: $i,X37: $i,X44: $i,X26: $i,X16: $i] :
      ( ~ c_Type_Otyping(c_Type_Oshift(X59,X37,X44,tc_Type_Otype),X16,X36)
      | c_Type_Otyping(X59,c_Lambda_Osubst(X16,X26,X37),X36)
      | ~ c_Type_Otyping(X59,X26,X44) ),
    file('/export/starexec/sandbox/tmp/tmp.BEhF96RzAL/Vampire---4.8_32032',cls_subst__lemma_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL817-1 : TPTP v8.1.2. Released v4.1.0.
% 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
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 16:38:11 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35  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/tmp/tmp.BEhF96RzAL/Vampire---4.8_32032
% 0.53/0.74  % (32291)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)
% 0.53/0.74  % (32285)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)
% 0.53/0.74  % (32287)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74  % (32286)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)
% 0.53/0.74  % (32288)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)
% 0.53/0.74  % (32289)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)
% 0.53/0.74  % (32290)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)
% 0.59/0.75  % (32285)First to succeed.
% 0.59/0.75  % (32285)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (32285)------------------------------
% 0.59/0.75  % (32285)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (32285)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (32285)Memory used [KB]: 1209
% 0.59/0.75  % (32285)Time elapsed: 0.005 s
% 0.59/0.75  % (32285)Instructions burned: 7 (million)
% 0.59/0.75  % (32285)------------------------------
% 0.59/0.75  % (32285)------------------------------
% 0.59/0.75  % (32281)Success in time 0.387 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------