TSTP Solution File: GRP529-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP529-1 : TPTP v8.1.2. Released 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 : n021.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 05:49:00 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (  29 unt;   0 def)
%            Number of atoms       :   29 (  28 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f296,plain,
    $false,
    inference(subsumption_resolution,[],[f291,f68]) ).

fof(f68,plain,
    ! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
    inference(superposition,[],[f47,f5]) ).

fof(f5,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.hTAqxqTNS7/Vampire---4.8_10673',inverse) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.hTAqxqTNS7/Vampire---4.8_10673',multiply) ).

fof(f47,plain,
    ! [X0,X1] : divide(X1,X1) = divide(X0,X0),
    inference(forward_demodulation,[],[f37,f26]) ).

fof(f26,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f18,f3]) ).

fof(f18,plain,
    ! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
    inference(superposition,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.hTAqxqTNS7/Vampire---4.8_10673',single_axiom) ).

fof(f37,plain,
    ! [X0,X1] : divide(X0,X0) = divide(X1,inverse(inverse(X1))),
    inference(superposition,[],[f34,f3]) ).

fof(f34,plain,
    ! [X2,X1] : divide(X2,inverse(divide(X1,X2))) = X1,
    inference(backward_demodulation,[],[f13,f32]) ).

fof(f32,plain,
    ! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
    inference(superposition,[],[f26,f18]) ).

fof(f13,plain,
    ! [X2,X0,X1] : divide(X2,divide(divide(X0,divide(X1,X2)),X0)) = X1,
    inference(superposition,[],[f1,f1]) ).

fof(f291,plain,
    multiply(inverse(b1),b1) != divide(a1,a1),
    inference(backward_demodulation,[],[f4,f275]) ).

fof(f275,plain,
    ! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
    inference(backward_demodulation,[],[f236,f270]) ).

fof(f270,plain,
    ! [X2,X0,X1] : divide(X0,X1) = divide(divide(X2,X1),divide(X2,X0)),
    inference(superposition,[],[f1,f93]) ).

fof(f93,plain,
    ! [X2,X0] : divide(X2,divide(X2,X0)) = X0,
    inference(forward_demodulation,[],[f80,f52]) ).

fof(f52,plain,
    ! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
    inference(superposition,[],[f42,f29]) ).

fof(f29,plain,
    ! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
    inference(backward_demodulation,[],[f7,f26]) ).

fof(f7,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
    inference(superposition,[],[f5,f3]) ).

fof(f42,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
    inference(superposition,[],[f34,f5]) ).

fof(f80,plain,
    ! [X2,X0,X1] : divide(divide(X2,divide(X1,X1)),divide(X2,X0)) = X0,
    inference(superposition,[],[f1,f47]) ).

fof(f236,plain,
    ! [X2,X0,X1] : divide(divide(X2,X1),divide(X2,X0)) = multiply(inverse(X1),X0),
    inference(backward_demodulation,[],[f45,f229]) ).

fof(f229,plain,
    ! [X0,X1] : inverse(divide(X1,X0)) = multiply(inverse(X1),X0),
    inference(forward_demodulation,[],[f210,f5]) ).

fof(f210,plain,
    ! [X0,X1] : inverse(divide(X1,X0)) = divide(inverse(X1),inverse(X0)),
    inference(superposition,[],[f21,f34]) ).

fof(f21,plain,
    ! [X2,X1] : divide(inverse(divide(X1,X2)),inverse(X1)) = X2,
    inference(forward_demodulation,[],[f14,f3]) ).

fof(f14,plain,
    ! [X2,X0,X1] : divide(inverse(divide(X1,X2)),divide(divide(X0,X0),X1)) = X2,
    inference(superposition,[],[f1,f3]) ).

fof(f45,plain,
    ! [X2,X0,X1] : inverse(divide(X1,X0)) = divide(divide(X2,X1),divide(X2,X0)),
    inference(superposition,[],[f1,f34]) ).

fof(f4,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/tmp/tmp.hTAqxqTNS7/Vampire---4.8_10673',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP529-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14  % 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 : n021.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 20:41:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ 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.hTAqxqTNS7/Vampire---4.8_10673
% 0.56/0.73  % (10786)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)
% 0.56/0.73  % (10788)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)
% 0.56/0.73  % (10781)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)
% 0.56/0.73  % (10782)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)
% 0.56/0.73  % (10784)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)
% 0.56/0.73  % (10788)Refutation not found, incomplete strategy% (10788)------------------------------
% 0.56/0.73  % (10788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (10788)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (10788)Memory used [KB]: 948
% 0.56/0.73  % (10788)Time elapsed: 0.002 s
% 0.56/0.73  % (10788)Instructions burned: 2 (million)
% 0.56/0.73  % (10785)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)
% 0.56/0.73  % (10783)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (10788)------------------------------
% 0.56/0.73  % (10788)------------------------------
% 0.56/0.73  % (10781)Refutation not found, incomplete strategy% (10781)------------------------------
% 0.56/0.73  % (10781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (10785)Refutation not found, incomplete strategy% (10785)------------------------------
% 0.56/0.73  % (10785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (10781)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (10781)Memory used [KB]: 962
% 0.56/0.73  % (10785)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  % (10781)Time elapsed: 0.002 s
% 0.56/0.73  
% 0.56/0.73  % (10785)Memory used [KB]: 962
% 0.56/0.73  % (10781)Instructions burned: 2 (million)
% 0.56/0.73  % (10785)Time elapsed: 0.002 s
% 0.56/0.73  % (10785)Instructions burned: 2 (million)
% 0.56/0.73  % (10784)Refutation not found, incomplete strategy% (10784)------------------------------
% 0.56/0.73  % (10784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (10784)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (10784)Memory used [KB]: 957
% 0.56/0.73  % (10784)Time elapsed: 0.002 s
% 0.56/0.73  % (10784)Instructions burned: 2 (million)
% 0.56/0.73  % (10785)------------------------------
% 0.56/0.73  % (10785)------------------------------
% 0.56/0.73  % (10781)------------------------------
% 0.56/0.73  % (10781)------------------------------
% 0.56/0.73  % (10784)------------------------------
% 0.56/0.73  % (10784)------------------------------
% 0.56/0.74  % (10787)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)
% 0.56/0.74  % (10786)Refutation not found, incomplete strategy% (10786)------------------------------
% 0.56/0.74  % (10786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (10786)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (10786)Memory used [KB]: 1033
% 0.56/0.74  % (10786)Time elapsed: 0.005 s
% 0.56/0.74  % (10786)Instructions burned: 13 (million)
% 0.56/0.74  % (10786)------------------------------
% 0.56/0.74  % (10786)------------------------------
% 0.56/0.74  % (10787)Refutation not found, incomplete strategy% (10787)------------------------------
% 0.56/0.74  % (10787)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (10787)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (10787)Memory used [KB]: 949
% 0.56/0.74  % (10787)Time elapsed: 0.004 s
% 0.56/0.74  % (10787)Instructions burned: 2 (million)
% 0.56/0.74  % (10787)------------------------------
% 0.56/0.74  % (10787)------------------------------
% 0.56/0.74  % (10789)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)
% 0.56/0.74  % (10790)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)
% 0.56/0.74  % (10791)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)
% 0.56/0.74  % (10793)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)
% 0.56/0.74  % (10792)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)
% 0.56/0.74  % (10790)Refutation not found, incomplete strategy% (10790)------------------------------
% 0.56/0.74  % (10790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (10790)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (10790)Memory used [KB]: 947
% 0.56/0.74  % (10790)Time elapsed: 0.002 s
% 0.56/0.74  % (10790)Instructions burned: 2 (million)
% 0.56/0.74  % (10793)Refutation not found, incomplete strategy% (10793)------------------------------
% 0.56/0.74  % (10793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (10793)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (10793)Memory used [KB]: 953
% 0.56/0.74  % (10793)Time elapsed: 0.002 s
% 0.56/0.74  % (10793)Instructions burned: 3 (million)
% 0.56/0.74  % (10790)------------------------------
% 0.56/0.74  % (10790)------------------------------
% 0.56/0.74  % (10793)------------------------------
% 0.56/0.74  % (10793)------------------------------
% 0.56/0.74  % (10794)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)
% 0.56/0.74  % (10795)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)
% 0.56/0.74  % (10794)Refutation not found, incomplete strategy% (10794)------------------------------
% 0.56/0.74  % (10794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (10794)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (10794)Memory used [KB]: 948
% 0.56/0.74  % (10794)Time elapsed: 0.003 s
% 0.56/0.74  % (10794)Instructions burned: 2 (million)
% 0.56/0.74  % (10783)First to succeed.
% 0.56/0.74  % (10794)------------------------------
% 0.56/0.74  % (10794)------------------------------
% 0.56/0.74  % (10783)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10780"
% 0.56/0.74  % (10796)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)
% 0.56/0.74  % (10789)Also succeeded, but the first one will report.
% 0.56/0.75  % (10783)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (10783)------------------------------
% 0.56/0.75  % (10783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (10783)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (10783)Memory used [KB]: 1078
% 0.56/0.75  % (10783)Time elapsed: 0.012 s
% 0.56/0.75  % (10783)Instructions burned: 17 (million)
% 0.56/0.75  % (10780)Success in time 0.383 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------