TSTP Solution File: LDA007-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LDA007-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 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 : n004.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 07:55:57 EDT 2024

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f259,plain,
    $false,
    inference(subsumption_resolution,[],[f258,f23]) ).

fof(f23,plain,
    sF0 != sF1,
    inference(definition_folding,[],[f20,f22,f21]) ).

fof(f21,plain,
    f(t,tsk) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f22,plain,
    f(tt_ts,tk) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f20,axiom,
    f(t,tsk) != f(tt_ts,tk),
    file('/export/starexec/sandbox2/tmp/tmp.u4jpjG6Mdt/Vampire---4.8_14197',prove_equation) ).

fof(f258,plain,
    sF0 = sF1,
    inference(forward_demodulation,[],[f257,f21]) ).

fof(f257,plain,
    f(t,tsk) = sF1,
    inference(forward_demodulation,[],[f256,f22]) ).

fof(f256,plain,
    f(t,tsk) = f(tt_ts,tk),
    inference(forward_demodulation,[],[f247,f18]) ).

fof(f18,axiom,
    tsk = f(ts,k),
    file('/export/starexec/sandbox2/tmp/tmp.u4jpjG6Mdt/Vampire---4.8_14197',clause_9) ).

fof(f247,plain,
    f(tt_ts,tk) = f(t,f(ts,k)),
    inference(superposition,[],[f36,f53]) ).

fof(f53,plain,
    tt_ts = f(t,ts),
    inference(forward_demodulation,[],[f48,f13]) ).

fof(f13,axiom,
    tt_ts = f(tt,ts),
    file('/export/starexec/sandbox2/tmp/tmp.u4jpjG6Mdt/Vampire---4.8_14197',clause_4) ).

fof(f48,plain,
    f(tt,ts) = f(t,ts),
    inference(superposition,[],[f26,f12]) ).

fof(f12,axiom,
    ts = f(t,s),
    file('/export/starexec/sandbox2/tmp/tmp.u4jpjG6Mdt/Vampire---4.8_14197',clause_3) ).

fof(f26,plain,
    ! [X0] : f(t,f(t,X0)) = f(tt,f(t,X0)),
    inference(superposition,[],[f1,f10]) ).

fof(f10,axiom,
    tt = f(t,t),
    file('/export/starexec/sandbox2/tmp/tmp.u4jpjG6Mdt/Vampire---4.8_14197',clause_1) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.u4jpjG6Mdt/Vampire---4.8_14197',a1) ).

fof(f36,plain,
    ! [X0] : f(t,f(X0,k)) = f(f(t,X0),tk),
    inference(superposition,[],[f1,f16]) ).

fof(f16,axiom,
    tk = f(t,k),
    file('/export/starexec/sandbox2/tmp/tmp.u4jpjG6Mdt/Vampire---4.8_14197',clause_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LDA007-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.13/0.15  % 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
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 18:14:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.u4jpjG6Mdt/Vampire---4.8_14197
% 0.55/0.75  % (14557)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)
% 0.55/0.75  % (14557)Refutation not found, incomplete strategy% (14557)------------------------------
% 0.55/0.75  % (14557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14557)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14557)Memory used [KB]: 962
% 0.55/0.75  % (14557)Time elapsed: 0.001 s
% 0.55/0.75  % (14557)Instructions burned: 2 (million)
% 0.55/0.75  % (14557)------------------------------
% 0.55/0.75  % (14557)------------------------------
% 0.55/0.75  % (14550)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)
% 0.55/0.75  % (14552)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (14553)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)
% 0.55/0.75  % (14554)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)
% 0.55/0.75  % (14555)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)
% 0.55/0.75  % (14551)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)
% 0.55/0.75  % (14556)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)
% 0.55/0.75  % (14553)Refutation not found, incomplete strategy% (14553)------------------------------
% 0.55/0.75  % (14553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14550)Refutation not found, incomplete strategy% (14550)------------------------------
% 0.55/0.75  % (14550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14550)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14550)Memory used [KB]: 977
% 0.55/0.75  % (14550)Time elapsed: 0.002 s
% 0.55/0.75  % (14550)Instructions burned: 2 (million)
% 0.55/0.75  % (14555)Refutation not found, incomplete strategy% (14555)------------------------------
% 0.55/0.75  % (14555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14553)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14553)Memory used [KB]: 963
% 0.55/0.75  % (14553)Time elapsed: 0.002 s
% 0.55/0.75  % (14553)Instructions burned: 2 (million)
% 0.55/0.75  % (14555)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14555)Memory used [KB]: 963
% 0.55/0.75  % (14555)Time elapsed: 0.002 s
% 0.55/0.75  % (14555)Instructions burned: 2 (million)
% 0.55/0.75  % (14550)------------------------------
% 0.55/0.75  % (14550)------------------------------
% 0.55/0.75  % (14553)------------------------------
% 0.55/0.75  % (14553)------------------------------
% 0.55/0.75  % (14556)Refutation not found, incomplete strategy% (14556)------------------------------
% 0.55/0.75  % (14556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (14556)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (14556)Memory used [KB]: 963
% 0.55/0.75  % (14556)Time elapsed: 0.003 s
% 0.55/0.75  % (14556)Instructions burned: 2 (million)
% 0.55/0.75  % (14555)------------------------------
% 0.55/0.75  % (14555)------------------------------
% 0.55/0.75  % (14556)------------------------------
% 0.55/0.75  % (14556)------------------------------
% 0.55/0.75  % (14558)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)
% 0.55/0.76  % (14560)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)
% 0.55/0.76  % (14559)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 (2996ds/50Mi)
% 0.55/0.76  % (14561)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)
% 0.55/0.76  % (14562)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 (2996ds/518Mi)
% 0.60/0.76  % (14559)Refutation not found, incomplete strategy% (14559)------------------------------
% 0.60/0.76  % (14559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14559)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14559)Memory used [KB]: 964
% 0.60/0.76  % (14559)Time elapsed: 0.002 s
% 0.60/0.76  % (14559)Instructions burned: 2 (million)
% 0.60/0.76  % (14559)------------------------------
% 0.60/0.76  % (14559)------------------------------
% 0.60/0.76  % (14562)Refutation not found, incomplete strategy% (14562)------------------------------
% 0.60/0.76  % (14562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14562)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14562)Memory used [KB]: 966
% 0.60/0.76  % (14562)Time elapsed: 0.003 s
% 0.60/0.76  % (14562)Instructions burned: 3 (million)
% 0.60/0.76  % (14562)------------------------------
% 0.60/0.76  % (14562)------------------------------
% 0.60/0.76  % (14564)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 (2996ds/42Mi)
% 0.60/0.76  % (14565)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 (2996ds/243Mi)
% 0.60/0.76  % (14564)Refutation not found, incomplete strategy% (14564)------------------------------
% 0.60/0.76  % (14564)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14564)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (14564)Memory used [KB]: 965
% 0.60/0.76  % (14564)Time elapsed: 0.003 s
% 0.60/0.76  % (14564)Instructions burned: 2 (million)
% 0.60/0.76  % (14564)------------------------------
% 0.60/0.76  % (14564)------------------------------
% 0.60/0.77  % (14560)First to succeed.
% 0.60/0.77  % (14560)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14464"
% 0.60/0.77  % (14560)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (14560)------------------------------
% 0.60/0.77  % (14560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (14560)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (14560)Memory used [KB]: 1178
% 0.60/0.77  % (14560)Time elapsed: 0.012 s
% 0.60/0.77  % (14560)Instructions burned: 18 (million)
% 0.60/0.77  % (14464)Success in time 0.394 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------