TSTP Solution File: LCL794-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL794-1 : 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 : Sun May  5 07:42:32 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-5 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f564,plain,
    $false,
    inference(subsumption_resolution,[],[f563,f458]) ).

fof(f458,plain,
    ! [X0,X1] : c_Type_Otyping(c_Type_Oshift(v_e____,X0,X1,tc_Type_Otype),c_Lambda_Olift(v_u____,X0),v_T____),
    inference(unit_resulting_resolution,[],[f393,f396]) ).

fof(f396,axiom,
    ! [X29,X57,X26,X24,X23] :
      ( c_Type_Otyping(c_Type_Oshift(X24,X29,X57,tc_Type_Otype),c_Lambda_Olift(X26,X29),X23)
      | ~ c_Type_Otyping(X24,X26,X23) ),
    file('/export/starexec/sandbox/tmp/tmp.ko0kfMGron/Vampire---4.8_28091',cls_lift__type_0) ).

fof(f393,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/tmp/tmp.ko0kfMGron/Vampire---4.8_28091',cls_uT_0) ).

fof(f563,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
    inference(forward_demodulation,[],[f562,f395]) ).

fof(f395,axiom,
    v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/tmp/tmp.ko0kfMGron/Vampire---4.8_28091',cls_T_0) ).

fof(f562,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    inference(forward_demodulation,[],[f560,f405]) ).

fof(f405,axiom,
    ! [X3,X4,X24,X23] : hAPP(c_Type_Oshift(X24,X4,X23,X3),X4) = X23,
    file('/export/starexec/sandbox/tmp/tmp.ko0kfMGron/Vampire---4.8_28091',cls_shift__eq_0) ).

fof(f560,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,hAPP(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
    inference(unit_resulting_resolution,[],[f408,f410,f400]) ).

fof(f400,axiom,
    ! [X70,X57,X26,X23,X13] :
      ( c_Type_Otyping(X70,hAPP(hAPP(c_Lambda_OdB_OApp,X13),X26),X57)
      | ~ c_Type_Otyping(X70,X26,X23)
      | ~ c_Type_Otyping(X70,X13,hAPP(hAPP(c_Type_Otype_OFun,X23),X57)) ),
    file('/export/starexec/sandbox/tmp/tmp.ko0kfMGron/Vampire---4.8_28091',cls_App_0) ).

fof(f410,axiom,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox/tmp/tmp.ko0kfMGron/Vampire---4.8_28091',cls_conjecture_0) ).

fof(f408,axiom,
    ! [X70,X4] : c_Type_Otyping(X70,c_Lambda_OdB_OVar(X4),hAPP(X70,X4)),
    file('/export/starexec/sandbox/tmp/tmp.ko0kfMGron/Vampire---4.8_28091',cls_typing_OVar_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL794-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.14  % 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
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 13:43:04 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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.ko0kfMGron/Vampire---4.8_28091
% 0.56/0.74  % (28205)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)
% 0.56/0.74  % (28199)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)
% 0.56/0.75  % (28201)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (28200)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)
% 0.56/0.75  % (28202)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)
% 0.56/0.75  % (28203)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)
% 0.56/0.75  % (28204)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)
% 0.56/0.75  % (28205)Refutation not found, incomplete strategy% (28205)------------------------------
% 0.56/0.75  % (28205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28205)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28205)Memory used [KB]: 1444
% 0.56/0.75  % (28205)Time elapsed: 0.007 s
% 0.56/0.75  % (28205)Instructions burned: 20 (million)
% 0.56/0.75  % (28205)------------------------------
% 0.56/0.75  % (28205)------------------------------
% 0.56/0.75  % (28206)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)
% 0.56/0.75  % (28207)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 (2996ds/55Mi)
% 0.56/0.76  % (28206)Refutation not found, incomplete strategy% (28206)------------------------------
% 0.56/0.76  % (28206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (28206)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (28206)Memory used [KB]: 1387
% 0.56/0.76  % (28206)Time elapsed: 0.004 s
% 0.56/0.76  % (28206)Instructions burned: 10 (million)
% 0.56/0.76  % (28202)First to succeed.
% 0.56/0.76  % (28206)------------------------------
% 0.56/0.76  % (28206)------------------------------
% 0.56/0.76  % (28202)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28198"
% 0.56/0.76  % (28202)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (28202)------------------------------
% 0.56/0.76  % (28202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (28202)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (28202)Memory used [KB]: 1457
% 0.56/0.76  % (28202)Time elapsed: 0.013 s
% 0.56/0.76  % (28202)Instructions burned: 19 (million)
% 0.56/0.76  % (28198)Success in time 0.387 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------