TSTP Solution File: LCL787-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL787-1 : 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 : n007.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 03:20:07 EDT 2024

% Result   : Unsatisfiable 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  12   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-5 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f606,plain,
    $false,
    inference(subsumption_resolution,[],[f605,f355]) ).

fof(f355,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox2/tmp/tmp.DvjXkYgV1Z/Vampire---4.8_14523',cls_CHAINED_0) ).

fof(f605,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    inference(duplicate_literal_removal,[],[f602]) ).

fof(f602,plain,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
    | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
    inference(resolution,[],[f599,f219]) ).

fof(f219,axiom,
    ! [X31,X21,X30,X20] :
      ( ~ c_Type_Otyping(X30,hAPP(hAPP(c_Lambda_OdB_OApp,X21),X20),X31)
      | c_Type_Otyping(X30,X20,c_Type_Osko__Type__Xtyping__elims__2__1(X31,X30,X21,X20)) ),
    file('/export/starexec/sandbox2/tmp/tmp.DvjXkYgV1Z/Vampire---4.8_14523',cls_typing__elims_I2_J_1) ).

fof(f599,plain,
    ! [X0] :
      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),X0))
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
    inference(resolution,[],[f598,f353]) ).

fof(f353,axiom,
    ! [X31,X21,X30,X20] :
      ( ~ c_Type_Otyping(X30,hAPP(hAPP(c_Lambda_OdB_OApp,X21),X20),X31)
      | c_Type_Otyping(X30,X21,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X31,X30,X21,X20)),X31)) ),
    file('/export/starexec/sandbox2/tmp/tmp.DvjXkYgV1Z/Vampire---4.8_14523',cls_typing__elims_I2_J_0) ).

fof(f598,plain,
    ! [X0] :
      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
    inference(resolution,[],[f356,f346]) ).

fof(f346,axiom,
    ! [X66] :
      ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,X66),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
      | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X66)
      | v_thesis____ ),
    file('/export/starexec/sandbox2/tmp/tmp.DvjXkYgV1Z/Vampire---4.8_14523',cls_that_0) ).

fof(f356,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/tmp/tmp.DvjXkYgV1Z/Vampire---4.8_14523',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : LCL787-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12  % 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
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 16:29:18 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.33  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.DvjXkYgV1Z/Vampire---4.8_14523
% 0.60/0.82  % (14638)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (14640)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 (2995ds/34Mi)
% 0.60/0.82  % (14636)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 (2995ds/34Mi)
% 0.60/0.82  % (14643)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 (2995ds/56Mi)
% 0.60/0.82  % (14637)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 (2995ds/51Mi)
% 0.60/0.82  % (14641)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.82  % (14642)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 (2995ds/83Mi)
% 0.60/0.82  % (14636)Refutation not found, incomplete strategy% (14636)------------------------------
% 0.60/0.82  % (14636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (14636)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (14636)Memory used [KB]: 1229
% 0.60/0.82  % (14636)Time elapsed: 0.003 s
% 0.60/0.82  % (14636)Instructions burned: 3 (million)
% 0.60/0.82  % (14636)------------------------------
% 0.60/0.82  % (14636)------------------------------
% 0.60/0.82  % (14639)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.82  % (14643)Refutation not found, incomplete strategy% (14643)------------------------------
% 0.60/0.82  % (14643)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (14643)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (14643)Memory used [KB]: 1225
% 0.60/0.82  % (14643)Time elapsed: 0.004 s
% 0.60/0.82  % (14643)Instructions burned: 4 (million)
% 0.60/0.82  % (14643)------------------------------
% 0.60/0.82  % (14643)------------------------------
% 0.60/0.82  % (14639)Refutation not found, incomplete strategy% (14639)------------------------------
% 0.60/0.82  % (14639)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (14639)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (14639)Memory used [KB]: 1213
% 0.60/0.82  % (14639)Time elapsed: 0.002 s
% 0.60/0.82  % (14639)Instructions burned: 3 (million)
% 0.60/0.82  % (14639)------------------------------
% 0.60/0.82  % (14639)------------------------------
% 0.60/0.83  % (14641)Refutation not found, incomplete strategy% (14641)------------------------------
% 0.60/0.83  % (14641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (14641)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (14641)Memory used [KB]: 1267
% 0.60/0.83  % (14641)Time elapsed: 0.006 s
% 0.60/0.83  % (14641)Instructions burned: 10 (million)
% 0.60/0.83  % (14641)------------------------------
% 0.60/0.83  % (14641)------------------------------
% 0.60/0.83  % (14644)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)
% 0.60/0.83  % (14645)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.83  % (14646)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.83  % (14646)Refutation not found, incomplete strategy% (14646)------------------------------
% 0.60/0.83  % (14646)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (14646)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (14646)Memory used [KB]: 1213
% 0.60/0.83  % (14646)Time elapsed: 0.003 s
% 0.60/0.83  % (14646)Instructions burned: 3 (million)
% 0.60/0.83  % (14646)------------------------------
% 0.60/0.83  % (14646)------------------------------
% 0.60/0.83  % (14642)Refutation not found, incomplete strategy% (14642)------------------------------
% 0.60/0.83  % (14642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (14642)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (14642)Memory used [KB]: 1275
% 0.60/0.83  % (14642)Time elapsed: 0.009 s
% 0.60/0.83  % (14642)Instructions burned: 15 (million)
% 0.60/0.83  % (14642)------------------------------
% 0.60/0.83  % (14642)------------------------------
% 0.60/0.83  % (14640)First to succeed.
% 0.60/0.83  % (14647)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.83  % (14640)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (14640)------------------------------
% 0.60/0.83  % (14640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (14640)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (14640)Memory used [KB]: 1411
% 0.60/0.83  % (14640)Time elapsed: 0.011 s
% 0.60/0.83  % (14640)Instructions burned: 19 (million)
% 0.60/0.83  % (14640)------------------------------
% 0.60/0.83  % (14640)------------------------------
% 0.60/0.83  % (14633)Success in time 0.496 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------