TSTP Solution File: LDA007-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LDA007-2 : 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 : n022.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 03:21:24 EDT 2024

% Result   : Unsatisfiable 0.64s 0.77s
% Output   : Refutation 0.64s
% 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(f307,plain,
    $false,
    inference(subsumption_resolution,[],[f306,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.ut7e44NNfh/Vampire---4.8_15792',prove_equation) ).

fof(f306,plain,
    sF0 = sF1,
    inference(forward_demodulation,[],[f305,f21]) ).

fof(f305,plain,
    f(t,tsk) = sF1,
    inference(forward_demodulation,[],[f304,f22]) ).

fof(f304,plain,
    f(t,tsk) = f(tt_ts,tk),
    inference(forward_demodulation,[],[f294,f18]) ).

fof(f18,axiom,
    tsk = f(ts,k),
    file('/export/starexec/sandbox2/tmp/tmp.ut7e44NNfh/Vampire---4.8_15792',clause_9) ).

fof(f294,plain,
    f(tt_ts,tk) = f(t,f(ts,k)),
    inference(superposition,[],[f36,f66]) ).

fof(f66,plain,
    tt_ts = f(t,ts),
    inference(forward_demodulation,[],[f60,f13]) ).

fof(f13,axiom,
    tt_ts = f(tt,ts),
    file('/export/starexec/sandbox2/tmp/tmp.ut7e44NNfh/Vampire---4.8_15792',clause_4) ).

fof(f60,plain,
    f(tt,ts) = f(t,ts),
    inference(superposition,[],[f26,f12]) ).

fof(f12,axiom,
    ts = f(t,s),
    file('/export/starexec/sandbox2/tmp/tmp.ut7e44NNfh/Vampire---4.8_15792',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.ut7e44NNfh/Vampire---4.8_15792',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.ut7e44NNfh/Vampire---4.8_15792',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.ut7e44NNfh/Vampire---4.8_15792',clause_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n022.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 17:27:43 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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.ut7e44NNfh/Vampire---4.8_15792
% 0.55/0.75  % (15999)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  % (16000)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)
% 0.55/0.76  % (16000)Refutation not found, incomplete strategy% (16000)------------------------------
% 0.55/0.76  % (16000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (16000)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (16000)Memory used [KB]: 953
% 0.55/0.76  % (16000)Time elapsed: 0.001 s
% 0.55/0.76  % (16000)Instructions burned: 2 (million)
% 0.55/0.76  % (16000)------------------------------
% 0.55/0.76  % (16000)------------------------------
% 0.55/0.76  % (15999)Refutation not found, incomplete strategy% (15999)------------------------------
% 0.55/0.76  % (15999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (15999)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (15999)Memory used [KB]: 954
% 0.55/0.76  % (15999)Time elapsed: 0.002 s
% 0.55/0.76  % (15999)Instructions burned: 2 (million)
% 0.55/0.76  % (15999)------------------------------
% 0.55/0.76  % (15999)------------------------------
% 0.55/0.76  % (15993)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)
% 0.55/0.76  % (15995)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (15994)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)
% 0.55/0.76  % (15996)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)
% 0.55/0.76  % (15997)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)
% 0.55/0.76  % (15998)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)
% 0.55/0.76  % (15996)Refutation not found, incomplete strategy% (15996)------------------------------
% 0.55/0.76  % (15996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (15996)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  % (15993)Refutation not found, incomplete strategy% (15993)------------------------------
% 0.55/0.76  % (15993)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  
% 0.55/0.76  % (15996)Memory used [KB]: 954
% 0.55/0.76  % (15996)Time elapsed: 0.002 s
% 0.55/0.76  % (15998)Refutation not found, incomplete strategy% (15998)------------------------------
% 0.55/0.76  % (15998)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (15998)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  % (15996)Instructions burned: 2 (million)
% 0.55/0.76  
% 0.55/0.76  % (15996)------------------------------
% 0.55/0.76  % (15996)------------------------------
% 0.55/0.76  % (15998)Memory used [KB]: 954
% 0.55/0.76  % (15998)Time elapsed: 0.002 s
% 0.55/0.76  % (15998)Instructions burned: 2 (million)
% 0.55/0.76  % (15998)------------------------------
% 0.55/0.76  % (15998)------------------------------
% 0.55/0.76  % (15997)Refutation not found, incomplete strategy% (15997)------------------------------
% 0.55/0.76  % (15997)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (15997)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (15997)Memory used [KB]: 969
% 0.55/0.76  % (15997)Time elapsed: 0.002 s
% 0.55/0.76  % (15997)Instructions burned: 2 (million)
% 0.55/0.76  % (15997)------------------------------
% 0.55/0.76  % (15997)------------------------------
% 0.55/0.76  % (15993)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (15993)Memory used [KB]: 968
% 0.55/0.76  % (15993)Time elapsed: 0.003 s
% 0.55/0.76  % (15993)Instructions burned: 2 (million)
% 0.55/0.76  % (15993)------------------------------
% 0.55/0.76  % (15993)------------------------------
% 0.55/0.76  % (16002)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  % (16003)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  % (16003)Refutation not found, incomplete strategy% (16003)------------------------------
% 0.55/0.76  % (16003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (16003)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (16003)Memory used [KB]: 955
% 0.55/0.76  % (16003)Time elapsed: 0.001 s
% 0.55/0.76  % (16003)Instructions burned: 2 (million)
% 0.55/0.76  % (16003)------------------------------
% 0.55/0.76  % (16003)------------------------------
% 0.55/0.76  % (16005)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  % (16006)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  % (16007)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)
% 0.55/0.76  % (16008)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)
% 0.55/0.76  % (16010)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)
% 0.55/0.76  % (16008)Refutation not found, incomplete strategy% (16008)------------------------------
% 0.55/0.76  % (16008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (16008)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (16007)Refutation not found, incomplete strategy% (16007)------------------------------
% 0.55/0.76  % (16007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (16008)Memory used [KB]: 956
% 0.55/0.76  % (16008)Time elapsed: 0.002 s
% 0.55/0.76  % (16008)Instructions burned: 2 (million)
% 0.55/0.76  % (16008)------------------------------
% 0.55/0.76  % (16008)------------------------------
% 0.55/0.76  % (16007)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (16007)Memory used [KB]: 956
% 0.55/0.76  % (16007)Time elapsed: 0.004 s
% 0.55/0.76  % (16007)Instructions burned: 3 (million)
% 0.55/0.76  % (16007)------------------------------
% 0.55/0.76  % (16007)------------------------------
% 0.55/0.77  % (16012)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 (2996ds/117Mi)
% 0.55/0.77  % (16013)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.64/0.77  % (16012)Refutation not found, incomplete strategy% (16012)------------------------------
% 0.64/0.77  % (16012)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77  % (16012)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77  
% 0.64/0.77  % (16012)Memory used [KB]: 957
% 0.64/0.77  % (16012)Time elapsed: 0.003 s
% 0.64/0.77  % (16012)Instructions burned: 2 (million)
% 0.64/0.77  % (16012)------------------------------
% 0.64/0.77  % (16012)------------------------------
% 0.64/0.77  % (16013)Refutation not found, incomplete strategy% (16013)------------------------------
% 0.64/0.77  % (16013)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77  % (16013)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77  
% 0.64/0.77  % (16013)Memory used [KB]: 973
% 0.64/0.77  % (16013)Time elapsed: 0.003 s
% 0.64/0.77  % (16013)Instructions burned: 4 (million)
% 0.64/0.77  % (16013)------------------------------
% 0.64/0.77  % (16013)------------------------------
% 0.64/0.77  % (16005)First to succeed.
% 0.64/0.77  % (16017)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.64/0.77  % (16005)Refutation found. Thanks to Tanya!
% 0.64/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.77  % (16005)------------------------------
% 0.64/0.77  % (16005)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.77  % (16005)Termination reason: Refutation
% 0.64/0.77  
% 0.64/0.77  % (16005)Memory used [KB]: 1187
% 0.64/0.77  % (16005)Time elapsed: 0.014 s
% 0.64/0.77  % (16005)Instructions burned: 22 (million)
% 0.64/0.77  % (16005)------------------------------
% 0.64/0.77  % (16005)------------------------------
% 0.64/0.77  % (15964)Success in time 0.399 s
% 0.64/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------