TSTP Solution File: GRP544-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP544-1 : 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 : n028.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 05:49:02 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (  30 unt;   0 def)
%            Number of atoms       :   30 (  29 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

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

fof(f655,plain,
    divide(a,divide(identity,b)) != divide(a,divide(identity,b)),
    inference(superposition,[],[f6,f210]) ).

fof(f210,plain,
    ! [X0,X1] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
    inference(superposition,[],[f150,f147]) ).

fof(f147,plain,
    ! [X2,X1] : divide(divide(X2,divide(identity,X1)),X2) = X1,
    inference(backward_demodulation,[],[f55,f130]) ).

fof(f130,plain,
    ! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
    inference(superposition,[],[f126,f62]) ).

fof(f62,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
    inference(backward_demodulation,[],[f36,f52]) ).

fof(f52,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(backward_demodulation,[],[f34,f44]) ).

fof(f44,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(superposition,[],[f36,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.t0BZWt6Qrn/Vampire---4.8_3313',identity) ).

fof(f34,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = divide(X0,identity),
    inference(forward_demodulation,[],[f33,f19]) ).

fof(f19,plain,
    ! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
    inference(forward_demodulation,[],[f16,f4]) ).

fof(f16,plain,
    ! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
    inference(superposition,[],[f12,f4]) ).

fof(f12,plain,
    ! [X2,X1] : divide(divide(identity,divide(divide(identity,divide(X1,identity)),X2)),X2) = X1,
    inference(backward_demodulation,[],[f1,f9]) ).

fof(f9,plain,
    ! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2),
    inference(superposition,[],[f1,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.t0BZWt6Qrn/Vampire---4.8_3313',single_axiom) ).

fof(f33,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = divide(identity,divide(identity,divide(divide(X0,identity),identity))),
    inference(forward_demodulation,[],[f29,f15]) ).

fof(f15,plain,
    ! [X0] : divide(identity,divide(X0,identity)) = divide(divide(identity,X0),identity),
    inference(superposition,[],[f12,f12]) ).

fof(f29,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = divide(identity,divide(divide(identity,divide(X0,identity)),identity)),
    inference(superposition,[],[f19,f12]) ).

fof(f36,plain,
    ! [X0,X1] : divide(divide(X0,identity),divide(X0,X1)) = X1,
    inference(backward_demodulation,[],[f10,f34]) ).

fof(f10,plain,
    ! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
    inference(superposition,[],[f1,f4]) ).

fof(f126,plain,
    ! [X0,X1] : divide(identity,X1) = divide(divide(X0,X1),X0),
    inference(forward_demodulation,[],[f113,f4]) ).

fof(f113,plain,
    ! [X0,X1] : divide(divide(identity,identity),X1) = divide(divide(X0,X1),X0),
    inference(superposition,[],[f53,f52]) ).

fof(f53,plain,
    ! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,X1),X2),
    inference(backward_demodulation,[],[f9,f52]) ).

fof(f55,plain,
    ! [X2,X1] : divide(divide(identity,divide(divide(identity,X1),X2)),X2) = X1,
    inference(backward_demodulation,[],[f12,f52]) ).

fof(f150,plain,
    ! [X0,X1] : divide(divide(X1,X0),divide(identity,X0)) = X1,
    inference(backward_demodulation,[],[f93,f130]) ).

fof(f93,plain,
    ! [X0,X1] : divide(divide(identity,divide(X0,X1)),divide(identity,X0)) = X1,
    inference(superposition,[],[f7,f62]) ).

fof(f7,plain,
    ! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
    inference(superposition,[],[f1,f4]) ).

fof(f6,plain,
    divide(a,divide(identity,b)) != divide(b,divide(identity,a)),
    inference(definition_unfolding,[],[f5,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.t0BZWt6Qrn/Vampire---4.8_3313',multiply) ).

fof(f5,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/tmp/tmp.t0BZWt6Qrn/Vampire---4.8_3313',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.15  % 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
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:41:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  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.t0BZWt6Qrn/Vampire---4.8_3313
% 0.56/0.76  % (3589)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (3587)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)
% 0.56/0.76  % (3590)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)
% 0.61/0.76  % (3591)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)
% 0.61/0.76  % (3592)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)
% 0.61/0.76  % (3593)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)
% 0.61/0.76  % (3588)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)
% 0.61/0.76  % (3590)Refutation not found, incomplete strategy% (3590)------------------------------
% 0.61/0.76  % (3590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3590)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3590)Memory used [KB]: 947
% 0.61/0.76  % (3590)Time elapsed: 0.002 s
% 0.61/0.76  % (3590)Instructions burned: 2 (million)
% 0.61/0.76  % (3591)Refutation not found, incomplete strategy% (3591)------------------------------
% 0.61/0.76  % (3591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3591)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3591)Memory used [KB]: 962
% 0.61/0.76  % (3591)Time elapsed: 0.002 s
% 0.61/0.76  % (3587)Refutation not found, incomplete strategy% (3587)------------------------------
% 0.61/0.76  % (3587)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3587)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3587)Memory used [KB]: 963
% 0.61/0.76  % (3587)Time elapsed: 0.003 s
% 0.61/0.76  % (3587)Instructions burned: 2 (million)
% 0.61/0.76  % (3591)Instructions burned: 2 (million)
% 0.61/0.76  % (3592)Refutation not found, incomplete strategy% (3592)------------------------------
% 0.61/0.76  % (3592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3590)------------------------------
% 0.61/0.76  % (3590)------------------------------
% 0.61/0.76  % (3592)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3592)Memory used [KB]: 951
% 0.61/0.76  % (3592)Time elapsed: 0.002 s
% 0.61/0.76  % (3592)Instructions burned: 2 (million)
% 0.61/0.76  % (3593)Refutation not found, incomplete strategy% (3593)------------------------------
% 0.61/0.76  % (3593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3593)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  % (3587)------------------------------
% 0.61/0.76  % (3587)------------------------------
% 0.61/0.76  
% 0.61/0.76  % (3593)Memory used [KB]: 950
% 0.61/0.76  % (3591)------------------------------
% 0.61/0.76  % (3591)------------------------------
% 0.61/0.76  % (3593)Time elapsed: 0.003 s
% 0.61/0.76  % (3593)Instructions burned: 2 (million)
% 0.61/0.76  % (3592)------------------------------
% 0.61/0.76  % (3592)------------------------------
% 0.61/0.76  % (3593)------------------------------
% 0.61/0.76  % (3593)------------------------------
% 0.61/0.76  % (3594)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)
% 0.61/0.76  % (3594)Refutation not found, incomplete strategy% (3594)------------------------------
% 0.61/0.76  % (3594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3594)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3594)Memory used [KB]: 948
% 0.61/0.76  % (3594)Time elapsed: 0.003 s
% 0.61/0.76  % (3594)Instructions burned: 2 (million)
% 0.61/0.77  % (3594)------------------------------
% 0.61/0.77  % (3594)------------------------------
% 0.61/0.77  % (3600)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)
% 0.61/0.77  % (3601)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)
% 0.61/0.77  % (3603)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)
% 0.61/0.77  % (3604)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)
% 0.61/0.77  % (3601)Refutation not found, incomplete strategy% (3601)------------------------------
% 0.61/0.77  % (3601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3601)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3601)Memory used [KB]: 948
% 0.61/0.77  % (3601)Time elapsed: 0.002 s
% 0.61/0.77  % (3601)Instructions burned: 2 (million)
% 0.61/0.77  % (3601)------------------------------
% 0.61/0.77  % (3601)------------------------------
% 0.61/0.77  % (3604)Refutation not found, incomplete strategy% (3604)------------------------------
% 0.61/0.77  % (3604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3604)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3604)Memory used [KB]: 951
% 0.61/0.77  % (3604)Time elapsed: 0.003 s
% 0.61/0.77  % (3604)Instructions burned: 2 (million)
% 0.61/0.77  % (3604)------------------------------
% 0.61/0.77  % (3604)------------------------------
% 0.61/0.77  % (3606)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)
% 0.61/0.77  % (3606)Refutation not found, incomplete strategy% (3606)------------------------------
% 0.61/0.77  % (3606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3606)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3606)Memory used [KB]: 949
% 0.61/0.77  % (3606)Time elapsed: 0.003 s
% 0.61/0.77  % (3606)Instructions burned: 2 (million)
% 0.61/0.77  % (3606)------------------------------
% 0.61/0.77  % (3606)------------------------------
% 0.61/0.77  % (3609)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)
% 0.61/0.77  % (3611)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)
% 0.61/0.77  % (3589)First to succeed.
% 0.61/0.77  % (3589)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3499"
% 0.61/0.77  % (3611)Refutation not found, incomplete strategy% (3611)------------------------------
% 0.61/0.77  % (3611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3611)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3611)Memory used [KB]: 949
% 0.61/0.77  % (3611)Time elapsed: 0.003 s
% 0.61/0.77  % (3611)Instructions burned: 2 (million)
% 0.61/0.77  % (3589)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (3589)------------------------------
% 0.61/0.77  % (3589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3589)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (3589)Memory used [KB]: 1162
% 0.61/0.77  % (3589)Time elapsed: 0.013 s
% 0.61/0.77  % (3589)Instructions burned: 34 (million)
% 0.61/0.77  % (3499)Success in time 0.406 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------