TSTP Solution File: LCL800-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL800-1 : 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 : n029.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 03:20:13 EDT 2024

% Result   : Unsatisfiable 0.66s 0.79s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f762,plain,
    $false,
    inference(subsumption_resolution,[],[f761,f393]) ).

fof(f393,plain,
    ~ c_InductTermi_OIT(sF1),
    inference(definition_folding,[],[f368,f392,f391]) ).

fof(f391,plain,
    c_Lambda_Osubst(v_a____,v_u____,v_i____) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f392,plain,
    c_Lambda_OdB_OApp(v_u____,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f368,axiom,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    file('/export/starexec/sandbox/tmp/tmp.rfZrWPBd1F/Vampire---4.8_8107',cls_conjecture_0) ).

fof(f761,plain,
    c_InductTermi_OIT(sF1),
    inference(forward_demodulation,[],[f760,f392]) ).

fof(f760,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,sF0)),
    inference(forward_demodulation,[],[f726,f362]) ).

fof(f362,axiom,
    ! [X28,X25,X12] : c_Lambda_Osubst(c_Lambda_Olift(X25,X12),X28,X12) = X25,
    file('/export/starexec/sandbox/tmp/tmp.rfZrWPBd1F/Vampire---4.8_8107',cls_subst__lift_0) ).

fof(f726,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(c_Lambda_Osubst(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),sF0,c_HOL_Ozero__class_Ozero(tc_nat)),sF0)),
    inference(superposition,[],[f394,f471]) ).

fof(f471,plain,
    ! [X2,X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X2,c_Lambda_OdB_OVar(X0)),X1,X0) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X2,X1,X0),X1),
    inference(superposition,[],[f343,f346]) ).

fof(f346,axiom,
    ! [X15,X12] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X12),X15,X12) = X15,
    file('/export/starexec/sandbox/tmp/tmp.rfZrWPBd1F/Vampire---4.8_8107',cls_subst__eq_0) ).

fof(f343,axiom,
    ! [X28,X15,X25,X12] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X25,X15),X28,X12) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X25,X28,X12),c_Lambda_Osubst(X15,X28,X12)),
    file('/export/starexec/sandbox/tmp/tmp.rfZrWPBd1F/Vampire---4.8_8107',cls_subst__App_0) ).

fof(f394,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(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))),sF0,c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(forward_demodulation,[],[f367,f391]) ).

fof(f367,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(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_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/tmp/tmp.rfZrWPBd1F/Vampire---4.8_8107',cls_CHAINED_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL800-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:58:20 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.rfZrWPBd1F/Vampire---4.8_8107
% 0.57/0.77  % (8364)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)
% 0.57/0.77  % (8358)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)
% 0.57/0.77  % (8361)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)
% 0.57/0.77  % (8360)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.77  % (8359)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)
% 0.57/0.77  % (8363)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)
% 0.57/0.77  % (8365)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)
% 0.57/0.77  % (8365)Refutation not found, incomplete strategy% (8365)------------------------------
% 0.57/0.77  % (8365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (8365)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (8365)Memory used [KB]: 1250
% 0.57/0.77  % (8365)Time elapsed: 0.003 s
% 0.57/0.77  % (8365)Instructions burned: 4 (million)
% 0.57/0.77  % (8365)------------------------------
% 0.57/0.77  % (8365)------------------------------
% 0.57/0.77  % (8358)Refutation not found, incomplete strategy% (8358)------------------------------
% 0.57/0.77  % (8358)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (8358)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (8358)Memory used [KB]: 1289
% 0.57/0.77  % (8358)Time elapsed: 0.005 s
% 0.57/0.77  % (8358)Instructions burned: 6 (million)
% 0.57/0.77  % (8358)------------------------------
% 0.57/0.77  % (8358)------------------------------
% 0.57/0.77  % (8364)Refutation not found, incomplete strategy% (8364)------------------------------
% 0.57/0.77  % (8364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (8364)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (8364)Memory used [KB]: 1387
% 0.57/0.77  % (8364)Time elapsed: 0.006 s
% 0.57/0.77  % (8364)Instructions burned: 17 (million)
% 0.57/0.77  % (8364)------------------------------
% 0.57/0.77  % (8364)------------------------------
% 0.57/0.77  % (8363)Refutation not found, incomplete strategy% (8363)------------------------------
% 0.57/0.77  % (8363)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (8363)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (8363)Memory used [KB]: 1256
% 0.57/0.77  % (8363)Time elapsed: 0.006 s
% 0.57/0.77  % (8363)Instructions burned: 9 (million)
% 0.57/0.77  % (8363)------------------------------
% 0.57/0.77  % (8363)------------------------------
% 0.57/0.77  % (8366)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)
% 0.57/0.78  % (8362)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)
% 0.57/0.78  % (8368)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 (2996ds/208Mi)
% 0.57/0.78  % (8369)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 (2996ds/52Mi)
% 0.57/0.78  % (8362)Refutation not found, incomplete strategy% (8362)------------------------------
% 0.57/0.78  % (8362)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (8362)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (8362)Memory used [KB]: 1362
% 0.57/0.78  % (8362)Time elapsed: 0.009 s
% 0.57/0.78  % (8362)Instructions burned: 14 (million)
% 0.57/0.78  % (8362)------------------------------
% 0.57/0.78  % (8362)------------------------------
% 0.66/0.79  % (8361)Instruction limit reached!
% 0.66/0.79  % (8361)------------------------------
% 0.66/0.79  % (8361)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.79  % (8361)Termination reason: Unknown
% 0.66/0.79  % (8361)Termination phase: Saturation
% 0.66/0.79  
% 0.66/0.79  % (8361)Memory used [KB]: 1868
% 0.66/0.79  % (8361)Time elapsed: 0.020 s
% 0.66/0.79  % (8361)Instructions burned: 33 (million)
% 0.66/0.79  % (8361)------------------------------
% 0.66/0.79  % (8361)------------------------------
% 0.66/0.79  % (8370)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 (2995ds/518Mi)
% 0.66/0.79  % (8370)Refutation not found, incomplete strategy% (8370)------------------------------
% 0.66/0.79  % (8370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.79  % (8370)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.79  
% 0.66/0.79  % (8370)Memory used [KB]: 1258
% 0.66/0.79  % (8370)Time elapsed: 0.006 s
% 0.66/0.79  % (8370)Instructions burned: 6 (million)
% 0.66/0.79  % (8370)------------------------------
% 0.66/0.79  % (8370)------------------------------
% 0.66/0.79  % (8371)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 (2995ds/42Mi)
% 0.66/0.79  % (8368)First to succeed.
% 0.66/0.79  % (8368)Refutation found. Thanks to Tanya!
% 0.66/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.66/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.79  % (8368)------------------------------
% 0.66/0.79  % (8368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.79  % (8368)Termination reason: Refutation
% 0.66/0.79  
% 0.66/0.79  % (8368)Memory used [KB]: 1439
% 0.66/0.79  % (8368)Time elapsed: 0.017 s
% 0.66/0.79  % (8368)Instructions burned: 23 (million)
% 0.66/0.79  % (8368)------------------------------
% 0.66/0.79  % (8368)------------------------------
% 0.66/0.79  % (8354)Success in time 0.41 s
% 0.66/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------