TSTP Solution File: GRP193-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP193-2 : 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 : n020.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 05:46:50 EDT 2024

% Result   : Unsatisfiable 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(subsumption_resolution,[],[f158,f21]) ).

fof(f21,axiom,
    greatest_lower_bound(a,multiply(b,c)) != greatest_lower_bound(a,c),
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',prove_p8_9b) ).

fof(f158,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,c),
    inference(forward_demodulation,[],[f157,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',left_identity) ).

fof(f157,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,multiply(identity,c)),
    inference(forward_demodulation,[],[f156,f36]) ).

fof(f36,plain,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)),
    inference(superposition,[],[f6,f9]) ).

fof(f9,axiom,
    ! [X0] : greatest_lower_bound(X0,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',idempotence_of_gld) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',associativity_of_glb) ).

fof(f156,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(a,multiply(identity,c))),
    inference(forward_demodulation,[],[f155,f17]) ).

fof(f17,axiom,
    identity = greatest_lower_bound(identity,b),
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',p8_9b_2) ).

fof(f155,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(a,multiply(greatest_lower_bound(identity,b),c))),
    inference(forward_demodulation,[],[f154,f90]) ).

fof(f90,plain,
    ! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0)),
    inference(superposition,[],[f15,f1]) ).

fof(f15,axiom,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',monotony_glb2) ).

fof(f154,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(a,greatest_lower_bound(c,multiply(b,c)))),
    inference(forward_demodulation,[],[f153,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X2,greatest_lower_bound(X0,X1)),
    inference(superposition,[],[f6,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',symmetry_of_glb) ).

fof(f153,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(c,greatest_lower_bound(multiply(b,c),a))),
    inference(forward_demodulation,[],[f146,f45]) ).

fof(f146,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(a,c))),
    inference(superposition,[],[f23,f6]) ).

fof(f23,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),greatest_lower_bound(a,c)),
    inference(backward_demodulation,[],[f22,f1]) ).

fof(f22,plain,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),multiply(identity,greatest_lower_bound(a,c))),
    inference(forward_demodulation,[],[f20,f19]) ).

fof(f19,axiom,
    identity = greatest_lower_bound(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',p8_9b_4) ).

fof(f20,axiom,
    greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))),
    file('/export/starexec/sandbox2/tmp/tmp.ZUfj6DnOR7/Vampire---4.8_11758',p8_9b_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP193-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n020.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
% 0.15/0.37  % DateTime   : Fri May  3 20:51:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.37  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.ZUfj6DnOR7/Vampire---4.8_11758
% 0.63/0.81  % (12164)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 (2995ds/56Mi)
% 0.63/0.81  % (12164)Refutation not found, incomplete strategy% (12164)------------------------------
% 0.63/0.81  % (12164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (12164)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (12164)Memory used [KB]: 971
% 0.63/0.81  % (12164)Time elapsed: 0.002 s
% 0.63/0.81  % (12164)Instructions burned: 2 (million)
% 0.63/0.81  % (12157)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 (2995ds/34Mi)
% 0.63/0.81  % (12164)------------------------------
% 0.63/0.81  % (12164)------------------------------
% 0.63/0.81  % (12159)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (12158)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 (2995ds/51Mi)
% 0.63/0.81  % (12161)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 (2995ds/34Mi)
% 0.63/0.81  % (12162)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81  % (12160)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81  % (12163)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 (2995ds/83Mi)
% 0.63/0.81  % (12161)Refutation not found, incomplete strategy% (12161)------------------------------
% 0.63/0.81  % (12161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (12161)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (12161)Memory used [KB]: 988
% 0.63/0.81  % (12161)Time elapsed: 0.003 s
% 0.63/0.81  % (12157)Refutation not found, incomplete strategy% (12157)------------------------------
% 0.63/0.81  % (12157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (12157)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (12157)Memory used [KB]: 989
% 0.63/0.81  % (12157)Time elapsed: 0.003 s
% 0.63/0.81  % (12157)Instructions burned: 3 (million)
% 0.63/0.81  % (12161)Instructions burned: 2 (million)
% 0.63/0.81  % (12157)------------------------------
% 0.63/0.81  % (12157)------------------------------
% 0.63/0.81  % (12160)Refutation not found, incomplete strategy% (12160)------------------------------
% 0.63/0.81  % (12160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.81  % (12160)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81  
% 0.63/0.81  % (12160)Memory used [KB]: 983
% 0.63/0.81  % (12160)Time elapsed: 0.003 s
% 0.63/0.81  % (12160)Instructions burned: 3 (million)
% 0.63/0.81  % (12161)------------------------------
% 0.63/0.81  % (12161)------------------------------
% 0.63/0.81  % (12160)------------------------------
% 0.63/0.81  % (12160)------------------------------
% 0.63/0.81  % (12166)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 (2995ds/55Mi)
% 0.63/0.82  % (12168)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 (2995ds/50Mi)
% 0.63/0.82  % (12169)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 (2995ds/208Mi)
% 0.63/0.82  % (12170)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 (2995ds/52Mi)
% 0.63/0.82  % (12159)First to succeed.
% 0.63/0.82  % (12168)Refutation not found, incomplete strategy% (12168)------------------------------
% 0.63/0.82  % (12168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (12159)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11995"
% 0.63/0.82  % (12168)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (12168)Memory used [KB]: 971
% 0.63/0.82  % (12168)Time elapsed: 0.002 s
% 0.63/0.82  % (12168)Instructions burned: 3 (million)
% 0.63/0.82  % (12168)------------------------------
% 0.63/0.82  % (12168)------------------------------
% 0.63/0.82  % (12159)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (12159)------------------------------
% 0.63/0.82  % (12159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82  % (12159)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (12159)Memory used [KB]: 1088
% 0.63/0.82  % (12159)Time elapsed: 0.009 s
% 0.63/0.82  % (12159)Instructions burned: 12 (million)
% 0.63/0.82  % (11995)Success in time 0.442 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------