TSTP Solution File: GRP616-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP616-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n016.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 05:49:17 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   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   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f656,plain,
    $false,
    inference(trivial_inequality_removal,[],[f655]) ).

fof(f655,plain,
    inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
    inference(superposition,[],[f4,f440]) ).

fof(f440,plain,
    ! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
    inference(superposition,[],[f210,f395]) ).

fof(f395,plain,
    ! [X2,X0] : double_divide(X2,double_divide(X0,X2)) = X0,
    inference(forward_demodulation,[],[f394,f165]) ).

fof(f165,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f77,f44]) ).

fof(f44,plain,
    ! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
    inference(superposition,[],[f31,f27]) ).

fof(f27,plain,
    ! [X3,X1] : double_divide(inverse(double_divide(inverse(X3),inverse(X1))),X3) = X1,
    inference(forward_demodulation,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.74FymxK11Y/Vampire---4.8_24240',single_axiom) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X3),double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(inverse(X1)))),X2)),double_divide(X0,X2)))),X3) = X1,
    inference(superposition,[],[f6,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),inverse(X3))),double_divide(X0,X2))),X1) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f31,plain,
    ! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
    inference(superposition,[],[f1,f27]) ).

fof(f77,plain,
    ! [X2,X1] : double_divide(inverse(double_divide(inverse(X2),inverse(X1))),X1) = X2,
    inference(forward_demodulation,[],[f71,f44]) ).

fof(f71,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X2))),inverse(X1))),X1) = X2,
    inference(superposition,[],[f1,f44]) ).

fof(f394,plain,
    ! [X2,X0] : double_divide(inverse(inverse(X2)),double_divide(X0,X2)) = X0,
    inference(forward_demodulation,[],[f393,f348]) ).

fof(f348,plain,
    ! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X1,inverse(X1))),X0),
    inference(superposition,[],[f77,f213]) ).

fof(f213,plain,
    ! [X0,X1] : double_divide(inverse(X1),X1) = double_divide(X0,inverse(X0)),
    inference(superposition,[],[f84,f165]) ).

fof(f84,plain,
    ! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
    inference(superposition,[],[f73,f31]) ).

fof(f73,plain,
    ! [X2,X1] : double_divide(inverse(X2),double_divide(inverse(X2),X1)) = X1,
    inference(forward_demodulation,[],[f66,f44]) ).

fof(f66,plain,
    ! [X2,X0,X1] : double_divide(inverse(X2),double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X2))),X1)) = X1,
    inference(superposition,[],[f5,f44]) ).

fof(f5,plain,
    ! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2)))) = X2,
    inference(superposition,[],[f1,f1]) ).

fof(f393,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X1))),X2)),double_divide(X0,X2)) = X0,
    inference(forward_demodulation,[],[f357,f165]) ).

fof(f357,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X1))),X2)),double_divide(inverse(inverse(X0)),X2)) = X0,
    inference(superposition,[],[f1,f213]) ).

fof(f210,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
    inference(superposition,[],[f73,f165]) ).

fof(f4,plain,
    inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox2/tmp/tmp.74FymxK11Y/Vampire---4.8_24240',multiply) ).

fof(f3,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/tmp/tmp.74FymxK11Y/Vampire---4.8_24240',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP616-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.09/0.11  % 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
% 0.11/0.31  % Computer : n016.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 20:50:23 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.31  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.74FymxK11Y/Vampire---4.8_24240
% 0.55/0.78  % (24350)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)
% 0.55/0.78  % (24352)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.55/0.78  % (24354)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)
% 0.55/0.78  % (24353)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)
% 0.55/0.78  % (24355)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)
% 0.55/0.78  % (24351)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)
% 0.55/0.78  % (24356)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)
% 0.55/0.78  % (24357)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)
% 0.55/0.78  % (24354)Refutation not found, incomplete strategy% (24354)------------------------------
% 0.55/0.78  % (24354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (24353)Refutation not found, incomplete strategy% (24353)------------------------------
% 0.55/0.78  % (24353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (24353)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (24353)Memory used [KB]: 947
% 0.55/0.78  % (24353)Time elapsed: 0.002 s
% 0.55/0.78  % (24353)Instructions burned: 2 (million)
% 0.55/0.78  % (24355)Refutation not found, incomplete strategy% (24355)------------------------------
% 0.55/0.78  % (24355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (24354)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (24356)Refutation not found, incomplete strategy% (24356)------------------------------
% 0.55/0.78  % (24356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (24354)Memory used [KB]: 961
% 0.55/0.78  % (24354)Time elapsed: 0.002 s
% 0.55/0.78  % (24356)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (24354)Instructions burned: 2 (million)
% 0.55/0.78  % (24356)Memory used [KB]: 949
% 0.55/0.78  % (24356)Time elapsed: 0.002 s
% 0.55/0.78  % (24356)Instructions burned: 2 (million)
% 0.55/0.78  % (24357)Refutation not found, incomplete strategy% (24357)------------------------------
% 0.55/0.78  % (24357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (24355)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (24355)Memory used [KB]: 948
% 0.55/0.78  % (24355)Time elapsed: 0.002 s
% 0.55/0.78  % (24355)Instructions burned: 2 (million)
% 0.55/0.78  % (24350)Refutation not found, incomplete strategy% (24350)------------------------------
% 0.55/0.78  % (24350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (24350)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (24350)Memory used [KB]: 963
% 0.55/0.78  % (24350)Time elapsed: 0.003 s
% 0.55/0.78  % (24350)Instructions burned: 2 (million)
% 0.55/0.78  % (24357)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (24357)Memory used [KB]: 948
% 0.55/0.78  % (24357)Time elapsed: 0.002 s
% 0.55/0.78  % (24357)Instructions burned: 2 (million)
% 0.55/0.78  % (24353)------------------------------
% 0.55/0.78  % (24353)------------------------------
% 0.55/0.78  % (24356)------------------------------
% 0.55/0.78  % (24356)------------------------------
% 0.55/0.78  % (24354)------------------------------
% 0.55/0.78  % (24354)------------------------------
% 0.55/0.78  % (24355)------------------------------
% 0.55/0.78  % (24355)------------------------------
% 0.55/0.78  % (24350)------------------------------
% 0.55/0.78  % (24350)------------------------------
% 0.55/0.78  % (24357)------------------------------
% 0.55/0.78  % (24357)------------------------------
% 0.61/0.78  % (24358)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)
% 0.61/0.78  % (24360)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)
% 0.61/0.78  % (24362)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)
% 0.61/0.78  % (24359)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)
% 0.61/0.78  % (24361)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)
% 0.61/0.79  % (24363)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)
% 0.61/0.79  % (24359)Refutation not found, incomplete strategy% (24359)------------------------------
% 0.61/0.79  % (24359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (24362)Refutation not found, incomplete strategy% (24362)------------------------------
% 0.61/0.79  % (24362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (24362)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (24362)Memory used [KB]: 948
% 0.61/0.79  % (24362)Time elapsed: 0.002 s
% 0.61/0.79  % (24362)Instructions burned: 2 (million)
% 0.61/0.79  % (24363)Refutation not found, incomplete strategy% (24363)------------------------------
% 0.61/0.79  % (24363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (24363)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (24363)Memory used [KB]: 948
% 0.61/0.79  % (24363)Time elapsed: 0.002 s
% 0.61/0.79  % (24363)Instructions burned: 2 (million)
% 0.61/0.79  % (24359)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (24359)Memory used [KB]: 947
% 0.61/0.79  % (24359)Time elapsed: 0.002 s
% 0.61/0.79  % (24359)Instructions burned: 2 (million)
% 0.61/0.79  % (24362)------------------------------
% 0.61/0.79  % (24362)------------------------------
% 0.61/0.79  % (24363)------------------------------
% 0.61/0.79  % (24363)------------------------------
% 0.61/0.79  % (24359)------------------------------
% 0.61/0.79  % (24359)------------------------------
% 0.61/0.79  % (24364)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)
% 0.61/0.79  % (24365)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)
% 0.61/0.79  % (24366)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)
% 0.61/0.79  % (24365)Refutation not found, incomplete strategy% (24365)------------------------------
% 0.61/0.79  % (24365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (24365)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (24365)Memory used [KB]: 948
% 0.61/0.79  % (24365)Time elapsed: 0.002 s
% 0.61/0.79  % (24365)Instructions burned: 2 (million)
% 0.61/0.79  % (24366)Refutation not found, incomplete strategy% (24366)------------------------------
% 0.61/0.79  % (24366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (24366)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (24366)Memory used [KB]: 964
% 0.61/0.79  % (24366)Time elapsed: 0.002 s
% 0.61/0.79  % (24366)Instructions burned: 2 (million)
% 0.61/0.79  % (24365)------------------------------
% 0.61/0.79  % (24365)------------------------------
% 0.61/0.79  % (24366)------------------------------
% 0.61/0.79  % (24366)------------------------------
% 0.61/0.79  % (24367)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 (2995ds/93Mi)
% 0.61/0.79  % (24368)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.79  % (24368)Refutation not found, incomplete strategy% (24368)------------------------------
% 0.61/0.79  % (24368)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (24368)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (24368)Memory used [KB]: 948
% 0.61/0.79  % (24368)Time elapsed: 0.002 s
% 0.61/0.79  % (24368)Instructions burned: 2 (million)
% 0.61/0.79  % (24368)------------------------------
% 0.61/0.79  % (24368)------------------------------
% 0.61/0.80  % (24351)First to succeed.
% 0.61/0.80  % (24351)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24348"
% 0.61/0.80  % (24351)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (24351)------------------------------
% 0.61/0.80  % (24351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (24351)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (24351)Memory used [KB]: 1343
% 0.61/0.80  % (24351)Time elapsed: 0.018 s
% 0.61/0.80  % (24351)Instructions burned: 33 (million)
% 0.61/0.80  % (24348)Success in time 0.475 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------