TSTP Solution File: ARI580_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI580_1 : TPTP v8.1.2. 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 : n028.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 : Wed May  1 02:09:23 EDT 2024

% Result   : Theorem 0.64s 0.83s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   30 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  20   ~;  11   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   78 (  28 atm;  15 fun;  13 num;  22 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    :    4 (   1 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  18   !;   4   ?;  22   :)

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

tff(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f36,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f36,plain,
    $less(sK0,sK0),
    inference(evaluation,[],[f28]) ).

tff(f28,plain,
    ( ~ $less(1,3)
    | $less(sK0,sK0) ),
    inference(resolution,[],[f25,f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_147,[]) ).

tff(f25,plain,
    ! [X0: $int] :
      ( ~ $less(sK0,$sum(sK0,X0))
      | ~ $less(X0,3) ),
    inference(superposition,[],[f22,f3]) ).

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

tff(f22,plain,
    ! [X0: $int] :
      ( ~ $less(sK0,$sum(X0,sK0))
      | ~ $less(X0,3) ),
    inference(resolution,[],[f19,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(f19,plain,
    ! [X1: $int] :
      ( ~ $less(X1,$sum(3,sK0))
      | ~ $less(sK0,X1) ),
    inference(forward_demodulation,[],[f18,f3]) ).

tff(f18,plain,
    ! [X1: $int] :
      ( ~ $less(X1,$sum(sK0,3))
      | ~ $less(sK0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X1: $int] :
      ( ~ $less(X1,$sum(sK0,3))
      | ~ $less(sK0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

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

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

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

tff(f1,conjecture,
    ! [X0: $int] :
    ? [X1: $int] :
      ( $less(X1,$sum(X0,3))
      & $less(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.OudIV7P2eK/Vampire---4.8_686',mix_quant_ineq_sys_solvable_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : ARI580_1 : TPTP v8.1.2. Released v5.1.0.
% 0.05/0.12  % 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
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 19:12:00 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a TF0_THM_NEQ_ARI problem
% 0.11/0.32  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/tmp/tmp.OudIV7P2eK/Vampire---4.8_686
% 0.60/0.80  % (804)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 Vampire---4 for (2995ds/51Mi)
% 0.60/0.80  % (806)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80  % (807)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.80  % (808)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80  % (809)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 Vampire---4 for (2995ds/83Mi)
% 0.60/0.80  % (810)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80  % (805)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (806)Refutation not found, incomplete strategy% (806)------------------------------
% 0.60/0.80  % (806)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (806)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (806)Memory used [KB]: 964
% 0.60/0.80  % (806)Time elapsed: 0.003 s
% 0.60/0.80  % (806)Instructions burned: 2 (million)
% 0.60/0.80  % (806)------------------------------
% 0.60/0.80  % (806)------------------------------
% 0.60/0.80  % (803)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 Vampire---4 for (2995ds/34Mi)
% 0.64/0.81  % (811)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 Vampire---4 for (2995ds/55Mi)
% 0.64/0.81  % (807)Instruction limit reached!
% 0.64/0.81  % (807)------------------------------
% 0.64/0.81  % (807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81  % (807)Termination reason: Unknown
% 0.64/0.81  % (807)Termination phase: Saturation
% 0.64/0.81  
% 0.64/0.81  % (807)Memory used [KB]: 1122
% 0.64/0.81  % (807)Time elapsed: 0.016 s
% 0.64/0.81  % (807)Instructions burned: 35 (million)
% 0.64/0.81  % (807)------------------------------
% 0.64/0.81  % (807)------------------------------
% 0.64/0.82  % (803)Instruction limit reached!
% 0.64/0.82  % (803)------------------------------
% 0.64/0.82  % (803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (803)Termination reason: Unknown
% 0.64/0.82  % (803)Termination phase: Saturation
% 0.64/0.82  
% 0.64/0.82  % (803)Memory used [KB]: 1129
% 0.64/0.82  % (803)Time elapsed: 0.018 s
% 0.64/0.82  % (803)Instructions burned: 34 (million)
% 0.64/0.82  % (803)------------------------------
% 0.64/0.82  % (803)------------------------------
% 0.64/0.82  % (812)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 Vampire---4 for (2995ds/50Mi)
% 0.64/0.82  % (813)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.64/0.82  % (808)Instruction limit reached!
% 0.64/0.82  % (808)------------------------------
% 0.64/0.82  % (808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (808)Termination reason: Unknown
% 0.64/0.82  % (808)Termination phase: Saturation
% 0.64/0.82  
% 0.64/0.82  % (808)Memory used [KB]: 1119
% 0.64/0.82  % (808)Time elapsed: 0.025 s
% 0.64/0.82  % (808)Instructions burned: 47 (million)
% 0.64/0.82  % (808)------------------------------
% 0.64/0.82  % (808)------------------------------
% 0.64/0.83  % (810)Instruction limit reached!
% 0.64/0.83  % (810)------------------------------
% 0.64/0.83  % (810)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (810)Termination reason: Unknown
% 0.64/0.83  % (810)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (810)Memory used [KB]: 1184
% 0.64/0.83  % (810)Time elapsed: 0.028 s
% 0.64/0.83  % (810)Instructions burned: 56 (million)
% 0.64/0.83  % (810)------------------------------
% 0.64/0.83  % (810)------------------------------
% 0.64/0.83  % (814)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 Vampire---4 for (2995ds/52Mi)
% 0.64/0.83  % (804)Instruction limit reached!
% 0.64/0.83  % (804)------------------------------
% 0.64/0.83  % (804)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (804)Termination reason: Unknown
% 0.64/0.83  % (804)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (804)Memory used [KB]: 1441
% 0.64/0.83  % (804)Time elapsed: 0.029 s
% 0.64/0.83  % (804)Instructions burned: 52 (million)
% 0.64/0.83  % (804)------------------------------
% 0.64/0.83  % (804)------------------------------
% 0.64/0.83  % (815)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 Vampire---4 for (2995ds/518Mi)
% 0.64/0.83  % (816)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.64/0.83  % (815)First to succeed.
% 0.64/0.83  % (815)Refutation found. Thanks to Tanya!
% 0.64/0.83  % SZS status Theorem for Vampire---4
% 0.64/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.83  % (815)------------------------------
% 0.64/0.83  % (815)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (815)Termination reason: Refutation
% 0.64/0.83  
% 0.64/0.83  % (815)Memory used [KB]: 978
% 0.64/0.83  % (815)Time elapsed: 0.003 s
% 0.64/0.83  % (815)Instructions burned: 3 (million)
% 0.64/0.83  % (815)------------------------------
% 0.64/0.83  % (815)------------------------------
% 0.64/0.83  % (801)Success in time 0.5 s
% 0.64/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------