TSTP Solution File: DAT080_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT080_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 19:49:34 EDT 2024

% Result   : Theorem 0.68s 0.84s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   38 (  12 unt;  15 typ;   0 def)
%            Number of atoms       :   34 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   6   ~;   6   |;   0   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :   80 (  12 atm;   0 fun;  53 num;  15 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   25 (  13   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   16 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?;  23   :)

% 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(func_def_14,type,
    sK0: ( $int * list ) > $int ).

tff(func_def_15,type,
    sK1: ( $int * list ) > list ).

tff(func_def_16,type,
    sK2: ( $int * list ) > $int ).

tff(func_def_17,type,
    sK3: ( $int * list ) > list ).

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

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

tff(pred_def_6,type,
    sP4: ( list * $int * list * $int ) > $o ).

tff(f93,plain,
    $false,
    inference(evaluation,[],[f92]) ).

tff(f92,plain,
    $less(0,0),
    inference(forward_demodulation,[],[f89,f50]) ).

tff(f50,plain,
    ! [X0: $int] : ( 0 = count(X0,nil) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,axiom,
    ! [X0: $int] : ( 0 = count(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).

tff(f89,plain,
    $less(0,count(4,nil)),
    inference(evaluation,[],[f88]) ).

tff(f88,plain,
    ( $less(0,count(4,nil))
    | ( 4 = 3 ) ),
    inference(superposition,[],[f76,f51]) ).

tff(f51,plain,
    ! [X2: list,X0: $int,X1: $int] :
      ( ( count(X0,cons(X1,X2)) = count(X0,X2) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f37,plain,
    ! [X0: $int,X1: $int,X2: list] :
      ( ( count(X0,cons(X1,X2)) = count(X0,X2) )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f35]) ).

tff(f35,plain,
    ! [X0: $int,X1: $int,X2: list] :
      ( ( X0 != X1 )
     => ( count(X0,cons(X1,X2)) = count(X0,X2) ) ),
    inference(rectify,[],[f10]) ).

tff(f10,axiom,
    ! [X0: $int,X3: $int,X4: list,X5: $int] :
      ( ( X0 != X3 )
     => ( count(X0,cons(X3,X4)) = count(X0,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_3) ).

tff(f76,plain,
    $less(0,count(4,cons(3,nil))),
    inference(evaluation,[],[f75]) ).

tff(f75,plain,
    ( $less(0,count(4,cons(3,nil)))
    | ( 4 = 2 ) ),
    inference(superposition,[],[f66,f51]) ).

tff(f66,plain,
    $less(0,count(4,cons(2,cons(3,nil)))),
    inference(evaluation,[],[f65]) ).

tff(f65,plain,
    ( $less(0,count(4,cons(2,cons(3,nil))))
    | ( 1 = 4 ) ),
    inference(superposition,[],[f57,f51]) ).

tff(f57,plain,
    $less(0,count(4,cons(1,cons(2,cons(3,nil))))),
    inference(unit_resulting_resolution,[],[f38,f41]) ).

tff(f41,plain,
    ! [X0: $int,X1: list] :
      ( ~ in(X0,X1)
      | $less(0,count(X0,X1)) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X0: $int,X1: list] :
      ( in(X0,X1)
    <=> $less(0,count(X0,X1)) ),
    inference(rectify,[],[f18]) ).

tff(f18,plain,
    ! [X5: $int,X1: list] :
      ( in(X5,X1)
    <=> $less(0,count(X5,X1)) ),
    inference(theory_normalization,[],[f14]) ).

tff(f14,axiom,
    ! [X5: $int,X1: list] :
      ( in(X5,X1)
    <=> $greater(count(X5,X1),0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_8) ).

tff(f38,plain,
    in(4,cons(1,cons(2,cons(3,nil)))),
    inference(cnf_transformation,[],[f31]) ).

tff(f31,plain,
    in(4,cons(1,cons(2,cons(3,nil)))),
    inference(flattening,[],[f16]) ).

tff(f16,negated_conjecture,
    ~ ~ in(4,cons(1,cons(2,cons(3,nil)))),
    inference(negated_conjecture,[],[f15]) ).

tff(f15,conjecture,
    ~ in(4,cons(1,cons(2,cons(3,nil)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.16/0.16  % Problem    : DAT080_1 : TPTP v8.2.0. Released v6.1.0.
% 0.17/0.19  % 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
% 0.20/0.42  % Computer : n018.cluster.edu
% 0.20/0.42  % Model    : x86_64 x86_64
% 0.20/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.42  % Memory   : 8042.1875MB
% 0.20/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.42  % CPULimit   : 300
% 0.20/0.42  % WCLimit    : 300
% 0.20/0.42  % DateTime   : Sun May 19 23:03:38 EDT 2024
% 0.20/0.42  % CPUTime    : 
% 0.20/0.42  This is a TF0_THM_EQU_ARI problem
% 0.20/0.42  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/benchmark/theBenchmark.p
% 0.68/0.83  % (30149)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 (2996ds/56Mi)
% 0.68/0.83  % (30145)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.68/0.83  % (30148)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 (2996ds/83Mi)
% 0.68/0.83  % (30149)Refutation not found, incomplete strategy% (30149)------------------------------
% 0.68/0.83  % (30149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (30149)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.83  
% 0.68/0.83  % (30149)Memory used [KB]: 1041
% 0.68/0.83  % (30149)Time elapsed: 0.006 s
% 0.68/0.83  % (30149)Instructions burned: 3 (million)
% 0.68/0.83  % (30149)------------------------------
% 0.68/0.83  % (30149)------------------------------
% 0.68/0.83  % (30144)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.68/0.83  % (30143)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 (2996ds/51Mi)
% 0.68/0.83  % (30148)First to succeed.
% 0.68/0.83  % (30148)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30141"
% 0.68/0.84  % (30148)Refutation found. Thanks to Tanya!
% 0.68/0.84  % SZS status Theorem for theBenchmark
% 0.68/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.84  % (30148)------------------------------
% 0.68/0.84  % (30148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (30148)Termination reason: Refutation
% 0.68/0.84  
% 0.68/0.84  % (30148)Memory used [KB]: 1058
% 0.68/0.84  % (30148)Time elapsed: 0.007 s
% 0.68/0.84  % (30148)Instructions burned: 6 (million)
% 0.68/0.84  % (30141)Success in time 0.408 s
% 0.68/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------