TSTP Solution File: GRP165-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP165-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n003.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 05:46:30 EDT 2024

% Result   : Unsatisfiable 0.64s 0.77s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f633,plain,
    $false,
    inference(subsumption_resolution,[],[f632,f18]) ).

fof(f18,plain,
    ~ sP0(multiply(a,a)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f632,plain,
    sP0(multiply(a,a)),
    inference(forward_demodulation,[],[f631,f20]) ).

fof(f20,plain,
    a = least_upper_bound(identity,a),
    inference(superposition,[],[f5,f16]) ).

fof(f16,axiom,
    a = least_upper_bound(a,identity),
    file('/export/starexec/sandbox/tmp/tmp.5536My6r4D/Vampire---4.8_14542',lat1a_1) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.5536My6r4D/Vampire---4.8_14542',symmetry_of_lub) ).

fof(f631,plain,
    sP0(multiply(least_upper_bound(identity,a),a)),
    inference(backward_demodulation,[],[f19,f612]) ).

fof(f612,plain,
    ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
    inference(superposition,[],[f14,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.5536My6r4D/Vampire---4.8_14542',left_identity) ).

fof(f14,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox/tmp/tmp.5536My6r4D/Vampire---4.8_14542',monotony_lub2) ).

fof(f19,plain,
    sP0(least_upper_bound(a,multiply(a,a))),
    inference(inequality_splitting,[],[f17,f18]) ).

fof(f17,axiom,
    multiply(a,a) != least_upper_bound(a,multiply(a,a)),
    file('/export/starexec/sandbox/tmp/tmp.5536My6r4D/Vampire---4.8_14542',prove_lat1a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP165-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14  % 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 : n003.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 20:48:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ 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.5536My6r4D/Vampire---4.8_14542
% 0.54/0.74  % (14795)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)
% 0.54/0.74  % (14789)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)
% 0.54/0.74  % (14791)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (14792)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)
% 0.54/0.74  % (14790)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)
% 0.54/0.74  % (14793)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)
% 0.54/0.74  % (14794)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)
% 0.54/0.74  % (14793)Refutation not found, incomplete strategy% (14793)------------------------------
% 0.54/0.74  % (14793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14793)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (14793)Memory used [KB]: 984
% 0.54/0.74  % (14793)Time elapsed: 0.002 s
% 0.54/0.74  % (14793)Instructions burned: 2 (million)
% 0.54/0.74  % (14789)Refutation not found, incomplete strategy% (14789)------------------------------
% 0.54/0.74  % (14789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14789)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (14789)Memory used [KB]: 985
% 0.54/0.74  % (14789)Time elapsed: 0.003 s
% 0.54/0.74  % (14789)Instructions burned: 3 (million)
% 0.54/0.74  % (14793)------------------------------
% 0.54/0.74  % (14793)------------------------------
% 0.54/0.74  % (14789)------------------------------
% 0.54/0.74  % (14789)------------------------------
% 0.54/0.74  % (14792)Refutation not found, incomplete strategy% (14792)------------------------------
% 0.54/0.74  % (14792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14792)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (14792)Memory used [KB]: 971
% 0.54/0.74  % (14792)Time elapsed: 0.004 s
% 0.54/0.74  % (14792)Instructions burned: 2 (million)
% 0.54/0.74  % (14792)------------------------------
% 0.54/0.74  % (14792)------------------------------
% 0.54/0.74  % (14796)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)
% 0.54/0.74  % (14796)Refutation not found, incomplete strategy% (14796)------------------------------
% 0.54/0.74  % (14796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14796)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (14796)Memory used [KB]: 970
% 0.54/0.74  % (14796)Time elapsed: 0.002 s
% 0.54/0.74  % (14796)Instructions burned: 2 (million)
% 0.54/0.74  % (14796)------------------------------
% 0.54/0.74  % (14796)------------------------------
% 0.54/0.74  % (14797)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)
% 0.54/0.74  % (14799)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)
% 0.54/0.75  % (14800)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)
% 0.54/0.75  % (14798)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)
% 0.54/0.75  % (14798)Refutation not found, incomplete strategy% (14798)------------------------------
% 0.54/0.75  % (14798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (14798)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (14798)Memory used [KB]: 968
% 0.54/0.75  % (14798)Time elapsed: 0.003 s
% 0.54/0.75  % (14798)Instructions burned: 2 (million)
% 0.54/0.75  % (14798)------------------------------
% 0.54/0.75  % (14798)------------------------------
% 0.54/0.76  % (14801)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)
% 0.54/0.76  % (14794)Instruction limit reached!
% 0.54/0.76  % (14794)------------------------------
% 0.54/0.76  % (14794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (14794)Termination reason: Unknown
% 0.54/0.76  % (14794)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (14794)Memory used [KB]: 1296
% 0.54/0.76  % (14794)Time elapsed: 0.024 s
% 0.54/0.76  % (14794)Instructions burned: 45 (million)
% 0.54/0.76  % (14794)------------------------------
% 0.54/0.76  % (14794)------------------------------
% 0.54/0.76  % (14795)Instruction limit reached!
% 0.54/0.76  % (14795)------------------------------
% 0.54/0.76  % (14795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (14795)Termination reason: Unknown
% 0.54/0.76  % (14795)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (14795)Memory used [KB]: 1654
% 0.54/0.76  % (14795)Time elapsed: 0.026 s
% 0.54/0.76  % (14795)Instructions burned: 85 (million)
% 0.54/0.76  % (14795)------------------------------
% 0.54/0.76  % (14795)------------------------------
% 0.64/0.76  % (14802)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)
% 0.64/0.76  % (14802)Refutation not found, incomplete strategy% (14802)------------------------------
% 0.64/0.76  % (14802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76  % (14802)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.76  
% 0.64/0.76  % (14802)Memory used [KB]: 981
% 0.64/0.76  % (14802)Time elapsed: 0.001 s
% 0.64/0.76  % (14802)Instructions burned: 2 (million)
% 0.64/0.76  % (14802)------------------------------
% 0.64/0.76  % (14802)------------------------------
% 0.64/0.76  % (14790)Instruction limit reached!
% 0.64/0.76  % (14790)------------------------------
% 0.64/0.76  % (14790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76  % (14790)Termination reason: Unknown
% 0.64/0.76  % (14790)Termination phase: Saturation
% 0.64/0.76  
% 0.64/0.76  % (14790)Memory used [KB]: 1438
% 0.64/0.76  % (14790)Time elapsed: 0.029 s
% 0.64/0.76  % (14790)Instructions burned: 51 (million)
% 0.64/0.76  % (14790)------------------------------
% 0.64/0.76  % (14790)------------------------------
% 0.64/0.76  % (14803)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)
% 0.64/0.77  % (14804)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)
% 0.64/0.77  % (14804)Refutation not found, incomplete strategy% (14804)------------------------------
% 0.64/0.77  % (14804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77  % (14804)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77  
% 0.64/0.77  % (14804)Memory used [KB]: 970
% 0.64/0.77  % (14804)Time elapsed: 0.001 s
% 0.64/0.77  % (14804)Instructions burned: 2 (million)
% 0.64/0.77  % (14804)------------------------------
% 0.64/0.77  % (14804)------------------------------
% 0.64/0.77  % (14805)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  % (14806)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  % (14797)First to succeed.
% 0.64/0.77  % (14805)Refutation not found, incomplete strategy% (14805)------------------------------
% 0.64/0.77  % (14805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77  % (14805)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77  
% 0.64/0.77  % (14805)Memory used [KB]: 988
% 0.64/0.77  % (14805)Time elapsed: 0.004 s
% 0.64/0.77  % (14805)Instructions burned: 3 (million)
% 0.64/0.77  % (14797)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14782"
% 0.64/0.77  % (14805)------------------------------
% 0.64/0.77  % (14805)------------------------------
% 0.64/0.77  % (14797)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  % (14797)------------------------------
% 0.64/0.77  % (14797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77  % (14797)Termination reason: Refutation
% 0.64/0.77  
% 0.64/0.77  % (14797)Memory used [KB]: 1206
% 0.64/0.77  % (14797)Time elapsed: 0.030 s
% 0.64/0.77  % (14797)Instructions burned: 50 (million)
% 0.64/0.77  % (14782)Success in time 0.403 s
% 0.64/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------