TSTP Solution File: ARI720_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI720_1 : TPTP v8.2.0. Released v6.3.0.
% 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 : n020.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 18:48:56 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  17 unt;   1 typ;   0 def)
%            Number of atoms       :   49 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  23   ~;  15   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :  170 (  24 atm;  86 fun;  46 num;  14 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   1 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  13   !;   1   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $real ).

tff(f144,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f84,f143]) ).

tff(f143,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f142]) ).

tff(f142,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f141,f9]) ).

tff(f9,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f141,plain,
    ( $less($sum(-0.5,sK0),$sum(-0.5,sK0))
    | ~ spl1_1 ),
    inference(evaluation,[],[f139]) ).

tff(f139,plain,
    ( $less($sum($sum(0.5,sK0),$uminus(1.0)),$sum(-0.5,sK0))
    | ~ spl1_1 ),
    inference(superposition,[],[f16,f88]) ).

tff(f88,plain,
    ( ( $floor($sum(0.5,sK0)) = $sum(-0.5,sK0) )
    | ~ spl1_1 ),
    inference(forward_demodulation,[],[f30,f39]) ).

tff(f39,plain,
    $sum(-0.5,sK0) = $floor($sum(-0.5,sK0)),
    inference(unit_resulting_resolution,[],[f15,f25,f11]) ).

tff(f11,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_144,[]) ).

tff(f25,plain,
    ~ $less($floor($sum(-0.5,sK0)),$sum(-0.5,sK0)),
    inference(evaluation,[],[f22]) ).

tff(f22,plain,
    ~ $less($floor($sum(-0.5,sK0)),$sum($sum(0.5,sK0),$uminus(1.0))),
    inference(unit_resulting_resolution,[],[f16,f20,f10]) ).

tff(f10,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_143,[]) ).

tff(f20,plain,
    ~ $less($floor($sum(-0.5,sK0)),$floor($sum(0.5,sK0))),
    inference(forward_demodulation,[],[f19,f4]) ).

tff(f4,plain,
    ! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f19,plain,
    ~ $less($floor($sum(sK0,-0.5)),$floor($sum(0.5,sK0))),
    inference(forward_demodulation,[],[f18,f4]) ).

tff(f18,plain,
    ~ $less($floor($sum(sK0,-0.5)),$floor($sum(sK0,0.5))),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ? [X0: $real] : ~ $less($floor($sum(X0,-0.5)),$floor($sum(X0,0.5))),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $real] : $less($floor($sum(X0,-0.5)),$floor($sum(X0,0.5))),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] : $greater($floor($sum(X0,0.5)),$floor($sum(X0,-0.5))),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] : $greater($floor($sum(X0,0.5)),$floor($sum(X0,-0.5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less(X0,$floor(X0)),
    introduced(theory_axiom_162,[]) ).

tff(f30,plain,
    ( ( $floor($sum(0.5,sK0)) = $floor($sum(-0.5,sK0)) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f28]) ).

tff(f28,plain,
    ( spl1_1
  <=> ( $floor($sum(0.5,sK0)) = $floor($sum(-0.5,sK0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f16,plain,
    ! [X0: $real] : $less($sum(X0,$uminus(1.0)),$floor(X0)),
    introduced(theory_axiom_163,[]) ).

tff(f84,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f83]) ).

tff(f83,plain,
    ( $false
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f80,f15]) ).

tff(f80,plain,
    ( $less($sum(-0.5,sK0),$floor($sum(-0.5,sK0)))
    | ~ spl1_2 ),
    inference(evaluation,[],[f77]) ).

tff(f77,plain,
    ( $less($sum($sum(0.5,sK0),$uminus(1.0)),$floor($sum(-0.5,sK0)))
    | ~ spl1_2 ),
    inference(unit_resulting_resolution,[],[f16,f34,f10]) ).

tff(f34,plain,
    ( $less($floor($sum(0.5,sK0)),$floor($sum(-0.5,sK0)))
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f32]) ).

tff(f32,plain,
    ( spl1_2
  <=> $less($floor($sum(0.5,sK0)),$floor($sum(-0.5,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f36,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f24,f32,f28]) ).

tff(f24,plain,
    ( $less($floor($sum(0.5,sK0)),$floor($sum(-0.5,sK0)))
    | ( $floor($sum(0.5,sK0)) = $floor($sum(-0.5,sK0)) ) ),
    inference(resolution,[],[f20,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI720_1 : TPTP v8.2.0. Released v6.3.0.
% 0.03/0.14  % 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
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 13:15:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF0_THM_NEQ_ARI problem
% 0.14/0.35  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
% 0.59/0.74  % (27976)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)
% 0.59/0.74  % (27969)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)
% 0.59/0.74  % (27971)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.74  % (27970)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)
% 0.59/0.74  % (27973)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 (2996ds/34Mi)
% 0.59/0.74  % (27972)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)
% 0.59/0.74  % (27974)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.59/0.74  % (27975)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)
% 0.59/0.74  % (27972)Refutation not found, incomplete strategy% (27972)------------------------------
% 0.59/0.74  % (27972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (27972)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (27972)Memory used [KB]: 965
% 0.59/0.74  % (27972)Time elapsed: 0.003 s
% 0.59/0.74  % (27972)Instructions burned: 2 (million)
% 0.59/0.74  % (27972)------------------------------
% 0.59/0.74  % (27972)------------------------------
% 0.59/0.75  % (27975)First to succeed.
% 0.59/0.75  % (27975)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27968"
% 0.59/0.75  % (27977)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 theBenchmark for (2996ds/55Mi)
% 0.59/0.75  % (27975)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for theBenchmark
% 0.59/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.75  % (27975)------------------------------
% 0.59/0.75  % (27975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (27975)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (27975)Memory used [KB]: 1066
% 0.59/0.75  % (27975)Time elapsed: 0.007 s
% 0.59/0.75  % (27975)Instructions burned: 9 (million)
% 0.59/0.75  % (27968)Success in time 0.391 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------