TSTP Solution File: GRP491-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP491-1 : 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 : 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 : Sun May  5 05:48:30 EDT 2024

% Result   : Unsatisfiable 0.73s 0.84s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  23 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   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   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f250,plain,
    $false,
    inference(trivial_inequality_removal,[],[f245]) ).

fof(f245,plain,
    a2 != a2,
    inference(superposition,[],[f80,f141]) ).

fof(f141,plain,
    ! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
    inference(forward_demodulation,[],[f132,f7]) ).

fof(f7,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/tmp/tmp.u8pUEO1EkO/Vampire---4.8_17635',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.u8pUEO1EkO/Vampire---4.8_17635',identity) ).

fof(f132,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,identity))) = X0,
    inference(superposition,[],[f48,f7]) ).

fof(f48,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X0,identity))))) = X1,
    inference(backward_demodulation,[],[f9,f46]) ).

fof(f46,plain,
    identity = double_divide(identity,identity),
    inference(backward_demodulation,[],[f40,f44]) ).

fof(f44,plain,
    identity = double_divide(double_divide(identity,identity),identity),
    inference(backward_demodulation,[],[f17,f40]) ).

fof(f17,plain,
    identity = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(forward_demodulation,[],[f14,f7]) ).

fof(f14,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),identity),
    inference(superposition,[],[f13,f7]) ).

fof(f13,plain,
    ! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f7]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.u8pUEO1EkO/Vampire---4.8_17635',single_axiom) ).

fof(f40,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
    inference(forward_demodulation,[],[f31,f7]) ).

fof(f31,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
    inference(superposition,[],[f8,f17]) ).

fof(f8,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),X0),identity),double_divide(X1,X0)))) = X1,
    inference(superposition,[],[f1,f7]) ).

fof(f9,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,double_divide(X0,identity))))) = X1,
    inference(superposition,[],[f1,f7]) ).

fof(f80,plain,
    a2 != double_divide(double_divide(identity,a2),identity),
    inference(superposition,[],[f6,f49]) ).

fof(f49,plain,
    ! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),identity),
    inference(backward_demodulation,[],[f13,f46]) ).

fof(f6,plain,
    a2 != double_divide(double_divide(a2,identity),identity),
    inference(definition_unfolding,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox2/tmp/tmp.u8pUEO1EkO/Vampire---4.8_17635',multiply) ).

fof(f5,axiom,
    a2 != multiply(identity,a2),
    file('/export/starexec/sandbox2/tmp/tmp.u8pUEO1EkO/Vampire---4.8_17635',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : GRP491-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15  % 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   : Fri May  3 20:41:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  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.u8pUEO1EkO/Vampire---4.8_17635
% 0.62/0.83  % (17848)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)
% 0.62/0.83  % (17849)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.83  % (17847)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)
% 0.62/0.83  % (17850)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)
% 0.62/0.83  % (17851)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)
% 0.62/0.83  % (17852)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)
% 0.62/0.83  % (17853)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)
% 0.62/0.83  % (17854)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)
% 0.62/0.83  % (17850)Refutation not found, incomplete strategy% (17850)------------------------------
% 0.62/0.83  % (17850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (17850)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (17850)Memory used [KB]: 947
% 0.62/0.83  % (17847)Refutation not found, incomplete strategy% (17847)------------------------------
% 0.62/0.83  % (17847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (17850)Time elapsed: 0.002 s
% 0.62/0.83  % (17850)Instructions burned: 2 (million)
% 0.62/0.83  % (17851)Refutation not found, incomplete strategy% (17851)------------------------------
% 0.62/0.83  % (17851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (17847)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (17847)Memory used [KB]: 964
% 0.62/0.83  % (17847)Time elapsed: 0.003 s
% 0.62/0.83  % (17847)Instructions burned: 2 (million)
% 0.62/0.83  % (17852)Refutation not found, incomplete strategy% (17852)------------------------------
% 0.62/0.83  % (17852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (17851)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (17851)Memory used [KB]: 962
% 0.62/0.83  % (17851)Time elapsed: 0.003 s
% 0.62/0.83  % (17851)Instructions burned: 2 (million)
% 0.62/0.83  % (17852)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (17852)Memory used [KB]: 948
% 0.62/0.83  % (17852)Time elapsed: 0.003 s
% 0.62/0.83  % (17852)Instructions burned: 2 (million)
% 0.62/0.83  % (17850)------------------------------
% 0.62/0.83  % (17850)------------------------------
% 0.62/0.83  % (17847)------------------------------
% 0.62/0.83  % (17847)------------------------------
% 0.62/0.83  % (17853)Refutation not found, incomplete strategy% (17853)------------------------------
% 0.62/0.83  % (17853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (17853)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (17853)Memory used [KB]: 949
% 0.62/0.83  % (17853)Time elapsed: 0.003 s
% 0.62/0.83  % (17853)Instructions burned: 2 (million)
% 0.62/0.83  % (17854)Refutation not found, incomplete strategy% (17854)------------------------------
% 0.62/0.83  % (17854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (17851)------------------------------
% 0.62/0.83  % (17851)------------------------------
% 0.62/0.83  % (17854)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (17854)Memory used [KB]: 948
% 0.62/0.83  % (17854)Time elapsed: 0.002 s
% 0.62/0.83  % (17854)Instructions burned: 2 (million)
% 0.62/0.83  % (17852)------------------------------
% 0.62/0.83  % (17852)------------------------------
% 0.62/0.83  % (17853)------------------------------
% 0.62/0.83  % (17853)------------------------------
% 0.62/0.83  % (17854)------------------------------
% 0.62/0.83  % (17854)------------------------------
% 0.62/0.83  % (17855)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)
% 0.62/0.84  % (17857)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)
% 0.62/0.84  % (17856)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)
% 0.62/0.84  % (17858)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)
% 0.62/0.84  % (17859)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 (2995ds/518Mi)
% 0.62/0.84  % (17860)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)
% 0.62/0.84  % (17856)Refutation not found, incomplete strategy% (17856)------------------------------
% 0.62/0.84  % (17856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84  % (17856)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84  
% 0.62/0.84  % (17856)Memory used [KB]: 947
% 0.62/0.84  % (17856)Time elapsed: 0.002 s
% 0.62/0.84  % (17856)Instructions burned: 2 (million)
% 0.62/0.84  % (17859)Refutation not found, incomplete strategy% (17859)------------------------------
% 0.62/0.84  % (17859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84  % (17859)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84  
% 0.62/0.84  % (17859)Memory used [KB]: 949
% 0.62/0.84  % (17859)Time elapsed: 0.002 s
% 0.62/0.84  % (17859)Instructions burned: 2 (million)
% 0.62/0.84  % (17856)------------------------------
% 0.62/0.84  % (17856)------------------------------
% 0.62/0.84  % (17860)Refutation not found, incomplete strategy% (17860)------------------------------
% 0.62/0.84  % (17860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84  % (17860)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84  
% 0.62/0.84  % (17860)Memory used [KB]: 946
% 0.62/0.84  % (17860)Time elapsed: 0.003 s
% 0.62/0.84  % (17860)Instructions burned: 2 (million)
% 0.62/0.84  % (17859)------------------------------
% 0.62/0.84  % (17859)------------------------------
% 0.62/0.84  % (17860)------------------------------
% 0.62/0.84  % (17860)------------------------------
% 0.62/0.84  % (17861)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)
% 0.62/0.84  % (17862)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 (2995ds/117Mi)
% 0.62/0.84  % (17863)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 (2995ds/143Mi)
% 0.62/0.84  % (17862)Refutation not found, incomplete strategy% (17862)------------------------------
% 0.62/0.84  % (17862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84  % (17862)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84  
% 0.62/0.84  % (17862)Memory used [KB]: 949
% 0.62/0.84  % (17862)Time elapsed: 0.002 s
% 0.62/0.84  % (17862)Instructions burned: 2 (million)
% 0.62/0.84  % (17862)------------------------------
% 0.62/0.84  % (17862)------------------------------
% 0.73/0.84  % (17863)Refutation not found, incomplete strategy% (17863)------------------------------
% 0.73/0.84  % (17863)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.84  % (17863)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.84  
% 0.73/0.84  % (17863)Memory used [KB]: 965
% 0.73/0.84  % (17863)Time elapsed: 0.003 s
% 0.73/0.84  % (17863)Instructions burned: 2 (million)
% 0.73/0.84  % (17863)------------------------------
% 0.73/0.84  % (17863)------------------------------
% 0.73/0.84  % (17849)First to succeed.
% 0.73/0.84  % (17849)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17801"
% 0.73/0.84  % (17849)Refutation found. Thanks to Tanya!
% 0.73/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.73/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.84  % (17849)------------------------------
% 0.73/0.84  % (17849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.84  % (17849)Termination reason: Refutation
% 0.73/0.84  
% 0.73/0.84  % (17849)Memory used [KB]: 1165
% 0.73/0.84  % (17849)Time elapsed: 0.014 s
% 0.73/0.84  % (17849)Instructions burned: 25 (million)
% 0.73/0.84  % (17801)Success in time 0.468 s
% 0.73/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------