TSTP Solution File: DAT002_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT002_1 : TPTP v8.2.0. Released v5.0.0.
% 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 : n022.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 19:49:16 EDT 2024

% Result   : Theorem 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   9 unt;   4 typ;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   46 (  22   ~;  17   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number arithmetic     :  104 (  20 atm;   8 fun;  55 num;  21 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   2 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?;  26   :)

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

tff(func_def_0,type,
    nil: list ).

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

tff(pred_def_1,type,
    fib_sorted: list > $o ).

tff(f37,plain,
    $false,
    inference(evaluation,[],[f36]) ).

tff(f36,plain,
    ~ $less(7,100),
    inference(resolution,[],[f34,f25]) ).

tff(f25,plain,
    ! [X0: $int,X1: $int] :
      ( fib_sorted(mycons(X0,mycons(X1,nil)))
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int,X1: $int] :
      ( fib_sorted(mycons(X0,mycons(X1,nil)))
      | ~ $less(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,axiom,
    ! [X0: $int,X1: $int] :
      ( $less(X0,X1)
     => fib_sorted(mycons(X0,mycons(X1,nil))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',double_is_fib_sorted_if_ordered) ).

tff(f34,plain,
    ~ fib_sorted(mycons(7,mycons(100,nil))),
    inference(evaluation,[],[f33]) ).

tff(f33,plain,
    ( $less(100,$sum(4,7))
    | ~ fib_sorted(mycons(7,mycons(100,nil)))
    | ~ $less(4,7) ),
    inference(resolution,[],[f32,f28]) ).

tff(f28,plain,
    ! [X2: $int,X3: list,X0: $int,X1: $int] :
      ( fib_sorted(mycons(X0,mycons(X1,mycons(X2,X3))))
      | $less(X2,$sum(X0,X1))
      | ~ fib_sorted(mycons(X1,mycons(X2,X3)))
      | ~ $less(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: list] :
      ( fib_sorted(mycons(X0,mycons(X1,mycons(X2,X3))))
      | ~ fib_sorted(mycons(X1,mycons(X2,X3)))
      | $less(X2,$sum(X0,X1))
      | ~ $less(X0,X1) ),
    inference(flattening,[],[f22]) ).

tff(f22,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: list] :
      ( fib_sorted(mycons(X0,mycons(X1,mycons(X2,X3))))
      | ~ fib_sorted(mycons(X1,mycons(X2,X3)))
      | $less(X2,$sum(X0,X1))
      | ~ $less(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: list] :
      ( ( fib_sorted(mycons(X1,mycons(X2,X3)))
        & ~ $less(X2,$sum(X0,X1))
        & $less(X0,X1) )
     => fib_sorted(mycons(X0,mycons(X1,mycons(X2,X3)))) ),
    inference(theory_normalization,[],[f4]) ).

tff(f4,axiom,
    ! [X0: $int,X1: $int,X2: $int,X3: list] :
      ( ( fib_sorted(mycons(X1,mycons(X2,X3)))
        & $greatereq(X2,$sum(X0,X1))
        & $less(X0,X1) )
     => fib_sorted(mycons(X0,mycons(X1,mycons(X2,X3)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursive_fib_sort) ).

tff(f32,plain,
    ~ fib_sorted(mycons(4,mycons(7,mycons(100,nil)))),
    inference(evaluation,[],[f31]) ).

tff(f31,plain,
    ( $less(7,$sum(2,4))
    | ~ fib_sorted(mycons(4,mycons(7,mycons(100,nil))))
    | ~ $less(2,4) ),
    inference(resolution,[],[f30,f28]) ).

tff(f30,plain,
    ~ fib_sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil))))),
    inference(evaluation,[],[f29]) ).

tff(f29,plain,
    ( $less(4,$sum(1,2))
    | ~ fib_sorted(mycons(2,mycons(4,mycons(7,mycons(100,nil)))))
    | ~ $less(1,2) ),
    inference(resolution,[],[f24,f28]) ).

tff(f24,plain,
    ~ fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ~ fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    inference(flattening,[],[f6]) ).

tff(f6,negated_conjecture,
    ~ fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    inference(negated_conjecture,[],[f5]) ).

tff(f5,conjecture,
    fib_sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',check_list) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : DAT002_1 : TPTP v8.2.0. Released v5.0.0.
% 0.13/0.17  % 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
% 0.17/0.39  % Computer : n022.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Sun May 19 23:42:23 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  This is a TF0_THM_NEQ_ARI problem
% 0.17/0.39  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
% 0.61/0.79  % (10803)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)
% 0.61/0.79  % (10799)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.61/0.79  % (10797)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 (2996ds/34Mi)
% 0.61/0.79  % (10800)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)
% 0.61/0.79  % (10798)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)
% 0.61/0.79  % (10803)First to succeed.
% 0.61/0.79  % (10803)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10796"
% 0.61/0.79  % (10803)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Theorem for theBenchmark
% 0.61/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.79  % (10803)------------------------------
% 0.61/0.79  % (10803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (10803)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (10803)Memory used [KB]: 967
% 0.61/0.79  % (10803)Time elapsed: 0.004 s
% 0.61/0.79  % (10803)Instructions burned: 4 (million)
% 0.61/0.79  % (10796)Success in time 0.395 s
% 0.61/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------