TSTP Solution File: LCL836-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL836-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Sun May  5 07:42:52 EDT 2024

% Result   : Unsatisfiable 0.57s 0.81s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  11   ~;   7   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  14 con; 0-5 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f639,plain,
    $false,
    inference(unit_resulting_resolution,[],[f593,f633,f626]) ).

fof(f626,plain,
    ! [X8,X76,X32] :
      ( ~ c_Type_Otyping(c_Type_Oshift(X32,X8,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X76)
      | sP0(X32,X8) ),
    inference(cnf_transformation,[],[f626_D]) ).

fof(f626_D,plain,
    ! [X8,X32] :
      ( ! [X76] : ~ c_Type_Otyping(c_Type_Oshift(X32,X8,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X76)
    <=> ~ sP0(X32,X8) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f633,plain,
    ~ sP0(v_e____,v_i____),
    inference(unit_resulting_resolution,[],[f591,f592,f594,f627]) ).

fof(f627,plain,
    ! [X8,X45,X32] :
      ( ~ c_Type_Otyping(X32,X45,v_T____)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X45))
      | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X45),X8)))
      | ~ sP0(X32,X8) ),
    inference(general_splitting,[],[f582,f626_D]) ).

fof(f582,axiom,
    ! [X8,X76,X45,X32] :
      ( ~ c_Type_Otyping(c_Type_Oshift(X32,X8,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X76)
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X45))
      | ~ c_Type_Otyping(X32,X45,v_T____)
      | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X45),X8))) ),
    file('/export/starexec/sandbox2/tmp/tmp.E36KdASnLu/Vampire---4.8_24264',cls_SI1_0) ).

fof(f594,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
    file('/export/starexec/sandbox2/tmp/tmp.E36KdASnLu/Vampire---4.8_24264',cls_conjecture_0) ).

fof(f592,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    file('/export/starexec/sandbox2/tmp/tmp.E36KdASnLu/Vampire---4.8_24264',cls_CHAINED_0_01) ).

fof(f591,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox2/tmp/tmp.E36KdASnLu/Vampire---4.8_24264',cls_CHAINED_0) ).

fof(f593,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox2/tmp/tmp.E36KdASnLu/Vampire---4.8_24264',cls_CHAINED_0_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : LCL836-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.16  % 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
% 0.15/0.37  % Computer : n005.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 13:46:55 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN 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.E36KdASnLu/Vampire---4.8_24264
% 0.57/0.79  % (24379)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)
% 0.57/0.79  % (24372)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)
% 0.57/0.80  % (24378)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)
% 0.57/0.80  % (24374)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.80  % (24379)Refutation not found, incomplete strategy% (24379)------------------------------
% 0.57/0.80  % (24379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.80  % (24379)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.80  
% 0.57/0.80  % (24379)Memory used [KB]: 1475
% 0.57/0.80  % (24379)Time elapsed: 0.008 s
% 0.57/0.80  % (24379)Instructions burned: 9 (million)
% 0.57/0.80  % (24373)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)
% 0.57/0.80  % (24375)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)
% 0.57/0.80  % (24379)------------------------------
% 0.57/0.80  % (24379)------------------------------
% 0.57/0.80  % (24380)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.57/0.80  % (24377)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)
% 0.57/0.81  % (24378)First to succeed.
% 0.57/0.81  % (24378)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24371"
% 0.57/0.81  % (24377)Refutation not found, incomplete strategy% (24377)------------------------------
% 0.57/0.81  % (24377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.81  % (24377)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.81  
% 0.57/0.81  % (24377)Memory used [KB]: 1468
% 0.57/0.81  % (24377)Time elapsed: 0.030 s
% 0.57/0.81  % (24377)Instructions burned: 13 (million)
% 0.57/0.81  % (24377)------------------------------
% 0.57/0.81  % (24377)------------------------------
% 0.57/0.81  % (24378)Refutation found. Thanks to Tanya!
% 0.57/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.81  % (24378)------------------------------
% 0.57/0.81  % (24378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.81  % (24378)Termination reason: Refutation
% 0.57/0.81  
% 0.57/0.81  % (24378)Memory used [KB]: 1651
% 0.57/0.81  % (24378)Time elapsed: 0.016 s
% 0.57/0.81  % (24378)Instructions burned: 26 (million)
% 0.57/0.81  % (24371)Success in time 0.423 s
% 0.57/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------