TSTP Solution File: DAT082_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT082_1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 : Mon May 20 19:49:35 EDT 2024

% Result   : Theorem 0.73s 0.91s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   24 (  14 unt;  10 typ;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   39 (   0 atm;   8 fun;  28 num;   3 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    :   11 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   6   :)

% 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(f61,plain,
    $false,
    inference(evaluation,[],[f60]) ).

tff(f60,plain,
    2 != $sum(2,0),
    inference(forward_demodulation,[],[f59,f40]) ).

tff(f40,plain,
    0 = length(nil),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,axiom,
    0 = length(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).

tff(f59,plain,
    2 != $sum(2,length(nil)),
    inference(evaluation,[],[f58]) ).

tff(f58,plain,
    2 != $sum(1,$sum(1,length(nil))),
    inference(forward_demodulation,[],[f47,f39]) ).

tff(f39,plain,
    ! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X3: $int,X4: list] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).

tff(f47,plain,
    2 != $sum(1,length(cons(2,nil))),
    inference(superposition,[],[f37,f39]) ).

tff(f37,plain,
    2 != length(cons(1,cons(2,nil))),
    inference(cnf_transformation,[],[f31]) ).

tff(f31,plain,
    2 != length(cons(1,cons(2,nil))),
    inference(flattening,[],[f16]) ).

tff(f16,negated_conjecture,
    ( ~ 2 = length(cons(1,cons(2,nil))) ),
    inference(negated_conjecture,[],[f15]) ).

tff(f15,conjecture,
    2 = length(cons(1,cons(2,nil))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : DAT082_1 : TPTP v8.2.0. Released v6.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 23:12:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.91  % (20794)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 theBenchmark for (2994ds/51Mi)
% 0.73/0.91  % (20795)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.73/0.91  % (20799)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 theBenchmark for (2994ds/83Mi)
% 0.73/0.91  % (20793)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 theBenchmark for (2994ds/34Mi)
% 0.73/0.91  % (20797)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 theBenchmark for (2994ds/34Mi)
% 0.73/0.91  % (20798)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.73/0.91  % (20796)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.73/0.91  % (20800)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.91  % (20796)Refutation not found, incomplete strategy% (20796)------------------------------
% 0.73/0.91  % (20796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (20796)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91  
% 0.73/0.91  % (20796)Memory used [KB]: 971
% 0.73/0.91  % (20796)Time elapsed: 0.004 s
% 0.73/0.91  % (20796)Instructions burned: 3 (million)
% 0.73/0.91  % (20793)Refutation not found, incomplete strategy% (20793)------------------------------
% 0.73/0.91  % (20793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (20793)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91  
% 0.73/0.91  % (20793)Memory used [KB]: 1055
% 0.73/0.91  % (20793)Time elapsed: 0.004 s
% 0.73/0.91  % (20793)Instructions burned: 4 (million)
% 0.73/0.91  % (20796)------------------------------
% 0.73/0.91  % (20796)------------------------------
% 0.73/0.91  % (20793)------------------------------
% 0.73/0.91  % (20793)------------------------------
% 0.73/0.91  % (20798)Also succeeded, but the first one will report.
% 0.73/0.91  % (20799)First to succeed.
% 0.73/0.91  % (20799)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20792"
% 0.73/0.91  % (20799)Refutation found. Thanks to Tanya!
% 0.73/0.91  % SZS status Theorem for theBenchmark
% 0.73/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.91  % (20799)------------------------------
% 0.73/0.91  % (20799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (20799)Termination reason: Refutation
% 0.73/0.91  
% 0.73/0.91  % (20799)Memory used [KB]: 1047
% 0.73/0.91  % (20799)Time elapsed: 0.005 s
% 0.73/0.91  % (20799)Instructions burned: 4 (million)
% 0.73/0.91  % (20792)Success in time 0.553 s
% 0.73/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------