TSTP Solution File: GRP192-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP192-1 : 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/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 05:46:49 EDT 2024

% Result   : Unsatisfiable 0.63s 0.78s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(subsumption_resolution,[],[f158,f126]) ).

fof(f126,plain,
    ! [X0] : identity = X0,
    inference(superposition,[],[f104,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.dM8tXIMOuP/Vampire---4.8_31256',left_inverse) ).

fof(f104,plain,
    ! [X0,X1] : multiply(X1,X0) = X0,
    inference(forward_demodulation,[],[f103,f102]) ).

fof(f102,plain,
    ! [X0] : multiply(inverse(X0),X0) = X0,
    inference(forward_demodulation,[],[f90,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.dM8tXIMOuP/Vampire---4.8_31256',left_identity) ).

fof(f90,plain,
    ! [X0] : multiply(identity,X0) = multiply(inverse(X0),X0),
    inference(superposition,[],[f60,f19]) ).

fof(f19,plain,
    ! [X0] : least_upper_bound(X0,identity) = X0,
    inference(superposition,[],[f16,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.dM8tXIMOuP/Vampire---4.8_31256',symmetry_of_lub) ).

fof(f16,axiom,
    ! [X0] : least_upper_bound(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.dM8tXIMOuP/Vampire---4.8_31256',p40a_1) ).

fof(f60,plain,
    ! [X0,X1] : multiply(X1,X0) = multiply(least_upper_bound(inverse(X0),X1),X0),
    inference(superposition,[],[f18,f14]) ).

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/sandbox2/tmp/tmp.dM8tXIMOuP/Vampire---4.8_31256',monotony_lub2) ).

fof(f18,plain,
    ! [X0,X1] : least_upper_bound(multiply(inverse(X0),X0),X1) = X1,
    inference(superposition,[],[f16,f2]) ).

fof(f103,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(X1,X0),
    inference(forward_demodulation,[],[f91,f102]) ).

fof(f91,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(multiply(inverse(X1),X1),X0),
    inference(superposition,[],[f60,f27]) ).

fof(f27,plain,
    ! [X0,X1] : least_upper_bound(X1,multiply(inverse(X0),X0)) = X1,
    inference(superposition,[],[f19,f2]) ).

fof(f158,plain,
    identity != a,
    inference(forward_demodulation,[],[f143,f126]) ).

fof(f143,plain,
    a != multiply(a,b),
    inference(superposition,[],[f17,f104]) ).

fof(f17,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/tmp/tmp.dM8tXIMOuP/Vampire---4.8_31256',prove_p40a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP192-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n004.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 20:50:38 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dM8tXIMOuP/Vampire---4.8_31256
% 0.54/0.76  % (31429)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)
% 0.54/0.76  % (31429)Refutation not found, incomplete strategy% (31429)------------------------------
% 0.54/0.76  % (31429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (31429)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (31429)Memory used [KB]: 985
% 0.54/0.76  % (31429)Time elapsed: 0.002 s
% 0.54/0.76  % (31429)Instructions burned: 3 (million)
% 0.54/0.76  % (31429)------------------------------
% 0.54/0.76  % (31429)------------------------------
% 0.54/0.76  % (31438)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)
% 0.54/0.77  % (31431)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.77  % (31438)Refutation not found, incomplete strategy% (31438)------------------------------
% 0.54/0.77  % (31438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (31438)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (31438)Memory used [KB]: 970
% 0.54/0.77  % (31438)Time elapsed: 0.003 s
% 0.54/0.77  % (31438)Instructions burned: 2 (million)
% 0.54/0.77  % (31435)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)
% 0.54/0.77  % (31436)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)
% 0.54/0.77  % (31430)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)
% 0.54/0.77  % (31438)------------------------------
% 0.54/0.77  % (31438)------------------------------
% 0.54/0.77  % (31434)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)
% 0.54/0.77  % (31435)Refutation not found, incomplete strategy% (31435)------------------------------
% 0.54/0.77  % (31435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (31435)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (31435)Memory used [KB]: 985
% 0.54/0.77  % (31435)Time elapsed: 0.001 s
% 0.54/0.77  % (31435)Instructions burned: 2 (million)
% 0.54/0.77  % (31437)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)
% 0.54/0.77  % (31435)------------------------------
% 0.54/0.77  % (31435)------------------------------
% 0.54/0.77  % (31436)Refutation not found, incomplete strategy% (31436)------------------------------
% 0.54/0.77  % (31436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (31434)Refutation not found, incomplete strategy% (31434)------------------------------
% 0.54/0.77  % (31434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (31434)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (31434)Memory used [KB]: 971
% 0.54/0.77  % (31434)Time elapsed: 0.005 s
% 0.54/0.77  % (31434)Instructions burned: 2 (million)
% 0.54/0.77  % (31436)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (31436)Memory used [KB]: 973
% 0.54/0.77  % (31436)Time elapsed: 0.005 s
% 0.54/0.77  % (31436)Instructions burned: 2 (million)
% 0.54/0.77  % (31434)------------------------------
% 0.54/0.77  % (31434)------------------------------
% 0.54/0.77  % (31436)------------------------------
% 0.54/0.77  % (31436)------------------------------
% 0.54/0.77  % (31439)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)
% 0.54/0.77  % (31437)Refutation not found, incomplete strategy% (31437)------------------------------
% 0.54/0.77  % (31437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (31437)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (31437)Memory used [KB]: 976
% 0.54/0.77  % (31437)Time elapsed: 0.005 s
% 0.54/0.77  % (31437)Instructions burned: 4 (million)
% 0.54/0.77  % (31441)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)
% 0.54/0.77  % (31437)------------------------------
% 0.54/0.77  % (31437)------------------------------
% 0.54/0.77  % (31440)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)
% 0.54/0.77  % (31440)Refutation not found, incomplete strategy% (31440)------------------------------
% 0.54/0.77  % (31440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (31440)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (31440)Memory used [KB]: 968
% 0.54/0.77  % (31440)Time elapsed: 0.004 s
% 0.54/0.77  % (31440)Instructions burned: 2 (million)
% 0.63/0.77  % (31440)------------------------------
% 0.63/0.77  % (31440)------------------------------
% 0.63/0.77  % (31442)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)
% 0.63/0.77  % (31443)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)
% 0.63/0.78  % (31445)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)
% 0.63/0.78  % (31445)Refutation not found, incomplete strategy% (31445)------------------------------
% 0.63/0.78  % (31445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (31445)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (31445)Memory used [KB]: 984
% 0.63/0.78  % (31445)Time elapsed: 0.004 s
% 0.63/0.78  % (31445)Instructions burned: 2 (million)
% 0.63/0.78  % (31445)------------------------------
% 0.63/0.78  % (31445)------------------------------
% 0.63/0.78  % (31446)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 (2995ds/243Mi)
% 0.63/0.78  % (31443)First to succeed.
% 0.63/0.78  % (31443)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31401"
% 0.63/0.78  % (31443)Refutation found. Thanks to Tanya!
% 0.63/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.78  % (31443)------------------------------
% 0.63/0.78  % (31443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (31443)Termination reason: Refutation
% 0.63/0.78  
% 0.63/0.78  % (31443)Memory used [KB]: 1058
% 0.63/0.78  % (31443)Time elapsed: 0.010 s
% 0.63/0.78  % (31443)Instructions burned: 8 (million)
% 0.63/0.78  % (31401)Success in time 0.412 s
% 0.63/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------