TSTP Solution File: LCL786-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL786-1 : 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 : 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 : Wed May  1 03:20:07 EDT 2024

% Result   : Unsatisfiable 0.61s 0.84s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   25 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  15   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  11 con; 0-5 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f647,plain,
    $false,
    inference(subsumption_resolution,[],[f646,f517]) ).

fof(f517,plain,
    hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)),
    inference(definition_unfolding,[],[f474,f432]) ).

fof(f432,axiom,
    v_n____ = v_i____,
    file('/export/starexec/sandbox/tmp/tmp.ohdmuWAJX9/Vampire---4.8_14335',cls_True_0) ).

fof(f474,axiom,
    hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)),
    file('/export/starexec/sandbox/tmp/tmp.ohdmuWAJX9/Vampire---4.8_14335',cls_CHAINED_0) ).

fof(f646,plain,
    ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)),
    inference(duplicate_literal_removal,[],[f645]) ).

fof(f645,plain,
    ( ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____))
    | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)) ),
    inference(resolution,[],[f551,f449]) ).

fof(f449,axiom,
    ! [X21,X38,X36,X35] :
      ( ~ hBOOL(hAPP(hAPP(c_Type_Otyping(X35),c_List_Ofoldl(c_Lambda_OdB_OApp,X21,X38,tc_Lambda_OdB,tc_Lambda_OdB)),X36))
      | c_Type_Otypings(X35,X38,c_Type_Osko__Type__Xlist__app__typeE__1__1(X36,X35,X21,X38)) ),
    file('/export/starexec/sandbox/tmp/tmp.ohdmuWAJX9/Vampire---4.8_14335',cls_list__app__typeE_1) ).

fof(f551,plain,
    ! [X0] :
      ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,c_Type_Osko__Type__Xlist__app__typeE__1__1(v_T_H____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),X0))
      | ~ hBOOL(hAPP(hAPP(c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),X0,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)) ),
    inference(resolution,[],[f550,f509]) ).

fof(f509,plain,
    ! [X21,X38,X36,X35] :
      ( ~ hBOOL(hAPP(hAPP(c_Type_Otyping(X35),c_List_Ofoldl(c_Lambda_OdB_OApp,X21,X38,tc_Lambda_OdB,tc_Lambda_OdB)),X36))
      | hBOOL(hAPP(hAPP(c_Type_Otyping(X35),X21),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X36,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeE__1__1(X36,X35,X21,X38),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))) ),
    inference(definition_unfolding,[],[f439,f266]) ).

fof(f266,axiom,
    ! [X0,X11,X1,X16,X15] : c_List_Ofoldr(X15,X11,X1,X16,X0) = c_List_Ofoldl(c_COMBC(X15,X16,X0,X0),X1,c_List_Orev(X11,X16),X0,X16),
    file('/export/starexec/sandbox/tmp/tmp.ohdmuWAJX9/Vampire---4.8_14335',cls_foldr__foldl_0) ).

fof(f439,axiom,
    ! [X21,X38,X36,X35] :
      ( ~ hBOOL(hAPP(hAPP(c_Type_Otyping(X35),c_List_Ofoldl(c_Lambda_OdB_OApp,X21,X38,tc_Lambda_OdB,tc_Lambda_OdB)),X36))
      | hBOOL(hAPP(hAPP(c_Type_Otyping(X35),X21),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X36,X35,X21,X38),X36,tc_Type_Otype,tc_Type_Otype))) ),
    file('/export/starexec/sandbox/tmp/tmp.ohdmuWAJX9/Vampire---4.8_14335',cls_list__app__typeE_0) ).

fof(f550,plain,
    ! [X60] :
      ( ~ hBOOL(hAPP(hAPP(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_i____)),v_a____)),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(X60,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))
      | ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X60) ),
    inference(subsumption_resolution,[],[f510,f475]) ).

fof(f475,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/tmp.ohdmuWAJX9/Vampire---4.8_14335',cls_conjecture_0) ).

fof(f510,plain,
    ! [X60] :
      ( ~ hBOOL(hAPP(hAPP(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_i____)),v_a____)),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(X60,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))
      | ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X60)
      | v_thesis____ ),
    inference(definition_unfolding,[],[f441,f432,f266]) ).

fof(f441,axiom,
    ! [X60] :
      ( ~ hBOOL(hAPP(hAPP(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,X60,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
      | ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X60)
      | v_thesis____ ),
    file('/export/starexec/sandbox/tmp/tmp.ohdmuWAJX9/Vampire---4.8_14335',cls_that_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LCL786-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % 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
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 16:32:49 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.31  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.ohdmuWAJX9/Vampire---4.8_14335
% 0.61/0.81  % (14448)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)
% 0.61/0.81  % (14447)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (14449)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)
% 0.61/0.81  % (14450)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)
% 0.61/0.81  % (14446)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)
% 0.61/0.81  % (14451)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)
% 0.61/0.81  % (14445)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)
% 0.61/0.81  % (14452)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)
% 0.61/0.81  % (14448)Refutation not found, incomplete strategy% (14448)------------------------------
% 0.61/0.81  % (14448)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (14448)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (14448)Memory used [KB]: 1312
% 0.61/0.81  % (14448)Time elapsed: 0.003 s
% 0.61/0.81  % (14448)Instructions burned: 3 (million)
% 0.61/0.81  % (14448)------------------------------
% 0.61/0.81  % (14448)------------------------------
% 0.61/0.81  % (14445)Refutation not found, incomplete strategy% (14445)------------------------------
% 0.61/0.81  % (14445)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (14445)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (14445)Memory used [KB]: 1311
% 0.61/0.81  % (14445)Time elapsed: 0.004 s
% 0.61/0.81  % (14445)Instructions burned: 4 (million)
% 0.61/0.81  % (14445)------------------------------
% 0.61/0.81  % (14445)------------------------------
% 0.61/0.81  % (14452)Refutation not found, incomplete strategy% (14452)------------------------------
% 0.61/0.81  % (14452)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (14452)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (14452)Memory used [KB]: 1319
% 0.61/0.81  % (14452)Time elapsed: 0.004 s
% 0.61/0.81  % (14452)Instructions burned: 5 (million)
% 0.61/0.81  % (14452)------------------------------
% 0.61/0.81  % (14452)------------------------------
% 0.61/0.82  % (14453)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)
% 0.61/0.82  % (14454)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)
% 0.61/0.82  % (14455)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)
% 0.61/0.82  % (14450)Refutation not found, incomplete strategy% (14450)------------------------------
% 0.61/0.82  % (14450)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (14450)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (14450)Memory used [KB]: 1446
% 0.61/0.82  % (14450)Time elapsed: 0.009 s
% 0.61/0.82  % (14450)Instructions burned: 17 (million)
% 0.61/0.82  % (14450)------------------------------
% 0.61/0.82  % (14450)------------------------------
% 0.61/0.82  % (14455)Refutation not found, incomplete strategy% (14455)------------------------------
% 0.61/0.82  % (14455)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (14455)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (14455)Memory used [KB]: 1311
% 0.61/0.82  % (14455)Time elapsed: 0.003 s
% 0.61/0.82  % (14455)Instructions burned: 4 (million)
% 0.61/0.82  % (14455)------------------------------
% 0.61/0.82  % (14455)------------------------------
% 0.61/0.82  % (14449)Refutation not found, incomplete strategy% (14449)------------------------------
% 0.61/0.82  % (14449)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (14449)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (14449)Memory used [KB]: 1593
% 0.61/0.82  % (14449)Time elapsed: 0.013 s
% 0.61/0.82  % (14449)Instructions burned: 25 (million)
% 0.61/0.82  % (14449)------------------------------
% 0.61/0.82  % (14449)------------------------------
% 0.61/0.82  % (14456)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 (2994ds/52Mi)
% 0.61/0.82  % (14457)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.61/0.82  % (14451)Refutation not found, incomplete strategy% (14451)------------------------------
% 0.61/0.82  % (14451)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (14451)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (14451)Memory used [KB]: 1491
% 0.61/0.82  % (14451)Time elapsed: 0.015 s
% 0.61/0.82  % (14451)Instructions burned: 29 (million)
% 0.61/0.82  % (14451)------------------------------
% 0.61/0.82  % (14451)------------------------------
% 0.61/0.82  % (14458)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.61/0.83  % (14457)Refutation not found, incomplete strategy% (14457)------------------------------
% 0.61/0.83  % (14457)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (14457)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (14457)Memory used [KB]: 1392
% 0.61/0.83  % (14457)Time elapsed: 0.006 s
% 0.61/0.83  % (14457)Instructions burned: 9 (million)
% 0.61/0.83  % (14457)------------------------------
% 0.61/0.83  % (14457)------------------------------
% 0.61/0.83  % (14459)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.61/0.83  % (14460)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.61/0.83  % (14454)First to succeed.
% 0.61/0.84  % (14454)Refutation found. Thanks to Tanya!
% 0.61/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.84  % (14454)------------------------------
% 0.61/0.84  % (14454)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84  % (14454)Termination reason: Refutation
% 0.61/0.84  
% 0.61/0.84  % (14454)Memory used [KB]: 1706
% 0.61/0.84  % (14454)Time elapsed: 0.020 s
% 0.61/0.84  % (14454)Instructions burned: 40 (million)
% 0.61/0.84  % (14454)------------------------------
% 0.61/0.84  % (14454)------------------------------
% 0.61/0.84  % (14443)Success in time 0.516 s
% 0.61/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------