TSTP Solution File: DAT093_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT093_1 : TPTP v8.1.2. Released v6.1.0.
% 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 : n008.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 : Wed May  1 02:18:49 EDT 2024

% Result   : Theorem 0.72s 0.90s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   26 (  16 unt;  10 typ;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   34 (   0 atm;  18 fun;  14 num;   2 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   13 (   8   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    list: $tType ).

tff(func_def_0,type,
    nil: list ).

tff(func_def_1,type,
    cons: ( $int * list ) > list ).

tff(func_def_2,type,
    head: list > $int ).

tff(func_def_3,type,
    tail: list > list ).

tff(func_def_5,type,
    length: list > $int ).

tff(func_def_8,type,
    count: ( $int * list ) > $int ).

tff(func_def_9,type,
    append: ( list * list ) > list ).

tff(pred_def_1,type,
    in: ( $int * list ) > $o ).

tff(pred_def_2,type,
    inRange: ( $int * list ) > $o ).

tff(f55,plain,
    $false,
    inference(evaluation,[],[f49]) ).

tff(f49,plain,
    0 = $sum(1,0),
    inference(superposition,[],[f47,f37]) ).

tff(f37,plain,
    0 = length(nil),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,axiom,
    0 = length(nil),
    file('/export/starexec/sandbox2/tmp/tmp.uENB4uDBcJ/Vampire---4.8_13386',l) ).

tff(f47,plain,
    ! [X0: list] : ( length(X0) = $sum(1,length(X0)) ),
    inference(evaluation,[],[f46]) ).

tff(f46,plain,
    ! [X0: list] : ( length(X0) = $sum(1,$sum(0,length(X0))) ),
    inference(forward_demodulation,[],[f43,f37]) ).

tff(f43,plain,
    ! [X0: list] : ( length(X0) = $sum(1,$sum(length(nil),length(X0))) ),
    inference(superposition,[],[f41,f39]) ).

tff(f39,plain,
    ! [X0: list] : ( append(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,plain,
    ! [X0: list] : ( append(nil,X0) = X0 ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X1: list] : ( append(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.uENB4uDBcJ/Vampire---4.8_13386',l_6) ).

tff(f41,plain,
    ! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum(1,$sum(length(X0),length(X1))) ),
    inference(forward_demodulation,[],[f35,f19]) ).

tff(f19,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f35,plain,
    ! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f31,plain,
    ! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
    inference(flattening,[],[f16]) ).

tff(f16,negated_conjecture,
    ~ ~ ! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
    inference(negated_conjecture,[],[f15]) ).

tff(f15,conjecture,
    ~ ! [X0: list,X1: list] : ( length(append(X0,X1)) = $sum($sum(length(X0),length(X1)),1) ),
    file('/export/starexec/sandbox2/tmp/tmp.uENB4uDBcJ/Vampire---4.8_13386',c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : DAT093_1 : TPTP v8.1.2. Released v6.1.0.
% 0.03/0.13  % 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
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Apr 30 16:33:57 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TF0_THM_EQU_ARI problem
% 0.13/0.35  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.uENB4uDBcJ/Vampire---4.8_13386
% 0.72/0.89  % (13636)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.72/0.89  % (13635)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.89  % (13633)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 (2994ds/34Mi)
% 0.72/0.89  % (13634)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 (2994ds/51Mi)
% 0.72/0.89  % (13637)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 (2994ds/34Mi)
% 0.72/0.89  % (13639)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 (2994ds/83Mi)
% 0.72/0.89  % (13640)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 (2994ds/56Mi)
% 0.72/0.90  % (13638)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.72/0.90  % (13640)Refutation not found, incomplete strategy% (13640)------------------------------
% 0.72/0.90  % (13640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.90  % (13640)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.90  
% 0.72/0.90  % (13640)Memory used [KB]: 957
% 0.72/0.90  % (13640)Time elapsed: 0.003 s
% 0.72/0.90  % (13640)Instructions burned: 3 (million)
% 0.72/0.90  % (13640)------------------------------
% 0.72/0.90  % (13640)------------------------------
% 0.72/0.90  % (13636)Refutation not found, incomplete strategy% (13636)------------------------------
% 0.72/0.90  % (13636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.90  % (13636)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.90  
% 0.72/0.90  % (13636)Memory used [KB]: 974
% 0.72/0.90  % (13636)Time elapsed: 0.003 s
% 0.72/0.90  % (13636)Instructions burned: 3 (million)
% 0.72/0.90  % (13636)------------------------------
% 0.72/0.90  % (13636)------------------------------
% 0.72/0.90  % (13633)Refutation not found, incomplete strategy% (13633)------------------------------
% 0.72/0.90  % (13633)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.90  % (13633)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.90  
% 0.72/0.90  % (13633)Memory used [KB]: 988
% 0.72/0.90  % (13633)Time elapsed: 0.003 s
% 0.72/0.90  % (13633)Instructions burned: 3 (million)
% 0.72/0.90  % (13633)------------------------------
% 0.72/0.90  % (13633)------------------------------
% 0.72/0.90  % (13638)First to succeed.
% 0.72/0.90  % (13637)Refutation not found, incomplete strategy% (13637)------------------------------
% 0.72/0.90  % (13637)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.90  % (13637)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.90  
% 0.72/0.90  % (13637)Memory used [KB]: 1049
% 0.72/0.90  % (13637)Time elapsed: 0.004 s
% 0.72/0.90  % (13637)Instructions burned: 4 (million)
% 0.72/0.90  % (13637)------------------------------
% 0.72/0.90  % (13637)------------------------------
% 0.72/0.90  % (13634)Also succeeded, but the first one will report.
% 0.72/0.90  % (13638)Refutation found. Thanks to Tanya!
% 0.72/0.90  % SZS status Theorem for Vampire---4
% 0.72/0.90  % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.90  % (13638)------------------------------
% 0.72/0.90  % (13638)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.72/0.90  % (13638)Termination reason: Refutation
% 0.72/0.90  
% 0.72/0.90  % (13638)Memory used [KB]: 1035
% 0.72/0.90  % (13638)Time elapsed: 0.003 s
% 0.72/0.90  % (13638)Instructions burned: 4 (million)
% 0.72/0.90  % (13638)------------------------------
% 0.72/0.90  % (13638)------------------------------
% 0.72/0.90  % (13576)Success in time 0.544 s
% 0.72/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------