TSTP Solution File: ARI570_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI570_1 : TPTP v8.2.0. Released v5.1.0.
% 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 : n006.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 18:47:59 EDT 2024

% Result   : Theorem 0.72s 0.88s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   32 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  19   ~;   7   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   79 (  29 atm;  16 fun;  14 num;  20 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   2 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (  16   !;   4   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sK0: $int ).

tff(func_def_6,type,
    sK1: $int ).

tff(f54,plain,
    $false,
    inference(subsumption_resolution,[],[f52,f18]) ).

tff(f18,plain,
    $less(sK1,sK0),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ~ $less(sK1,$sum(sK0,3))
    & $less(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int,X1: $int] :
        ( ~ $less(X1,$sum(X0,3))
        & $less(X1,X0) )
   => ( ~ $less(sK1,$sum(sK0,3))
      & $less(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,3))
      & $less(X1,X0) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int,X1: $int] :
        ( $less(X1,X0)
       => $less(X1,$sum(X0,3)) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
     => $less(X1,$sum(X0,3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',weakening_ineq) ).

tff(f52,plain,
    ~ $less(sK1,sK0),
    inference(evaluation,[],[f50]) ).

tff(f50,plain,
    ( ~ $less(sK1,sK0)
    | ~ $less(0,3) ),
    inference(superposition,[],[f37,f5]) ).

tff(f5,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_137,[]) ).

tff(f37,plain,
    ! [X0: $int] :
      ( ~ $less(sK1,$sum(sK0,X0))
      | ~ $less(X0,3) ),
    inference(superposition,[],[f34,f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f34,plain,
    ! [X0: $int] :
      ( ~ $less(sK1,$sum(X0,sK0))
      | ~ $less(X0,3) ),
    inference(resolution,[],[f22,f11]) ).

tff(f11,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_145,[]) ).

tff(f22,plain,
    ! [X0: $int] :
      ( ~ $less(X0,$sum(3,sK0))
      | ~ $less(sK1,X0) ),
    inference(resolution,[],[f20,f9]) ).

tff(f9,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( $less(X0,X2)
      | ~ $less(X1,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_143,[]) ).

tff(f20,plain,
    ~ $less(sK1,$sum(3,sK0)),
    inference(forward_demodulation,[],[f19,f3]) ).

tff(f19,plain,
    ~ $less(sK1,$sum(sK0,3)),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI570_1 : TPTP v8.2.0. Released v5.1.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 12:56:38 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.84  % (3840)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.68/0.84  % (3838)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 (2995ds/34Mi)
% 0.68/0.84  % (3839)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 (2995ds/51Mi)
% 0.68/0.84  % (3842)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 (2995ds/34Mi)
% 0.68/0.84  % (3841)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.68/0.84  % (3844)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 (2995ds/83Mi)
% 0.68/0.84  % (3843)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.68/0.84  % (3845)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 (2995ds/56Mi)
% 0.68/0.86  % (3841)Instruction limit reached!
% 0.68/0.86  % (3841)------------------------------
% 0.68/0.86  % (3841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86  % (3842)Instruction limit reached!
% 0.68/0.86  % (3842)------------------------------
% 0.68/0.86  % (3842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86  % (3842)Termination reason: Unknown
% 0.68/0.86  % (3842)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (3842)Memory used [KB]: 1208
% 0.68/0.86  % (3842)Time elapsed: 0.021 s
% 0.68/0.86  % (3842)Instructions burned: 35 (million)
% 0.68/0.86  % (3842)------------------------------
% 0.68/0.86  % (3842)------------------------------
% 0.68/0.86  % (3841)Termination reason: Unknown
% 0.68/0.86  % (3841)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (3841)Memory used [KB]: 1126
% 0.68/0.86  % (3841)Time elapsed: 0.021 s
% 0.68/0.86  % (3841)Instructions burned: 34 (million)
% 0.68/0.86  % (3841)------------------------------
% 0.68/0.86  % (3841)------------------------------
% 0.68/0.86  % (3838)Instruction limit reached!
% 0.68/0.86  % (3838)------------------------------
% 0.68/0.86  % (3838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86  % (3838)Termination reason: Unknown
% 0.68/0.86  % (3838)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (3838)Memory used [KB]: 1108
% 0.68/0.86  % (3838)Time elapsed: 0.023 s
% 0.68/0.86  % (3838)Instructions burned: 34 (million)
% 0.68/0.86  % (3838)------------------------------
% 0.68/0.86  % (3838)------------------------------
% 0.72/0.87  % (3846)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 (2994ds/55Mi)
% 0.72/0.87  % (3847)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.72/0.87  % (3848)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.72/0.87  % (3843)Instruction limit reached!
% 0.72/0.87  % (3843)------------------------------
% 0.72/0.87  % (3843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (3843)Termination reason: Unknown
% 0.72/0.87  % (3843)Termination phase: Saturation
% 0.72/0.87  
% 0.72/0.87  % (3843)Memory used [KB]: 1124
% 0.72/0.87  % (3843)Time elapsed: 0.029 s
% 0.72/0.87  % (3843)Instructions burned: 45 (million)
% 0.72/0.87  % (3843)------------------------------
% 0.72/0.87  % (3843)------------------------------
% 0.72/0.87  % (3845)Instruction limit reached!
% 0.72/0.87  % (3845)------------------------------
% 0.72/0.87  % (3845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.87  % (3845)Termination reason: Unknown
% 0.72/0.87  % (3845)Termination phase: Saturation
% 0.72/0.87  
% 0.72/0.87  % (3845)Memory used [KB]: 1152
% 0.72/0.87  % (3845)Time elapsed: 0.031 s
% 0.72/0.87  % (3845)Instructions burned: 57 (million)
% 0.72/0.87  % (3845)------------------------------
% 0.72/0.87  % (3845)------------------------------
% 0.72/0.87  % (3849)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.72/0.88  % (3850)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.72/0.88  % (3839)Instruction limit reached!
% 0.72/0.88  % (3839)------------------------------
% 0.72/0.88  % (3839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.88  % (3839)Termination reason: Unknown
% 0.72/0.88  % (3839)Termination phase: Saturation
% 0.72/0.88  
% 0.72/0.88  % (3839)Memory used [KB]: 1383
% 0.72/0.88  % (3839)Time elapsed: 0.036 s
% 0.72/0.88  % (3839)Instructions burned: 52 (million)
% 0.72/0.88  % (3839)------------------------------
% 0.72/0.88  % (3839)------------------------------
% 0.72/0.88  % (3850)First to succeed.
% 0.72/0.88  % (3850)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3837"
% 0.72/0.88  % (3850)Refutation found. Thanks to Tanya!
% 0.72/0.88  % SZS status Theorem for theBenchmark
% 0.72/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.88  % (3850)------------------------------
% 0.72/0.88  % (3850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.88  % (3850)Termination reason: Refutation
% 0.72/0.88  
% 0.72/0.88  % (3850)Memory used [KB]: 981
% 0.72/0.88  % (3850)Time elapsed: 0.005 s
% 0.72/0.88  % (3850)Instructions burned: 4 (million)
% 0.72/0.88  % (3837)Success in time 0.519 s
% 0.72/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------