TSTP Solution File: KLE146+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE146+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 : Sun May  5 07:16:24 EDT 2024

% Result   : Theorem 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (  21 unt;   0 def)
%            Number of atoms       :   31 (  18 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  12   ~;   3   |;   1   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   32 (  30   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f180,plain,
    $false,
    inference(trivial_inequality_removal,[],[f177]) ).

fof(f177,plain,
    strong_iteration(sK0) != strong_iteration(sK0),
    inference(superposition,[],[f58,f145]) ).

fof(f145,plain,
    ! [X0] : strong_iteration(X0) = addition(one,strong_iteration(X0)),
    inference(superposition,[],[f87,f62]) ).

fof(f62,plain,
    ! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
    inference(superposition,[],[f36,f44]) ).

fof(f44,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.v1ujZDuIKP/Vampire---4.8_22787',additive_commutativity) ).

fof(f36,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    file('/export/starexec/sandbox2/tmp/tmp.v1ujZDuIKP/Vampire---4.8_22787',infty_unfold1) ).

fof(f87,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f43,f42]) ).

fof(f42,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.v1ujZDuIKP/Vampire---4.8_22787',idempotence) ).

fof(f43,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.v1ujZDuIKP/Vampire---4.8_22787',additive_associativity) ).

fof(f58,plain,
    strong_iteration(sK0) != addition(one,strong_iteration(sK0)),
    inference(resolution,[],[f32,f30]) ).

fof(f30,plain,
    ~ leq(one,strong_iteration(sK0)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ~ leq(one,strong_iteration(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f27]) ).

fof(f27,plain,
    ( ? [X0] : ~ leq(one,strong_iteration(X0))
   => ~ leq(one,strong_iteration(sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0] : ~ leq(one,strong_iteration(X0)),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] : leq(one,strong_iteration(X0)),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X3] : leq(one,strong_iteration(X3)),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X3] : leq(one,strong_iteration(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.v1ujZDuIKP/Vampire---4.8_22787',goals) ).

fof(f32,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | addition(X0,X1) != X1 )
      & ( addition(X0,X1) = X1
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.v1ujZDuIKP/Vampire---4.8_22787',order) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : KLE146+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % 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
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 21:23:53 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  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.v1ujZDuIKP/Vampire---4.8_22787
% 0.60/0.81  % (22899)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)
% 0.60/0.81  % (22901)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (22900)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)
% 0.60/0.81  % (22902)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)
% 0.60/0.81  % (22903)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)
% 0.60/0.81  % (22904)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)
% 0.60/0.81  % (22905)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)
% 0.60/0.81  % (22906)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)
% 0.60/0.81  % (22903)Refutation not found, incomplete strategy% (22903)------------------------------
% 0.60/0.81  % (22903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (22903)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (22903)Memory used [KB]: 968
% 0.60/0.81  % (22903)Time elapsed: 0.003 s
% 0.60/0.81  % (22903)Instructions burned: 2 (million)
% 0.60/0.82  % (22904)Refutation not found, incomplete strategy% (22904)------------------------------
% 0.60/0.82  % (22904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22904)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22904)Memory used [KB]: 963
% 0.60/0.82  % (22904)Time elapsed: 0.003 s
% 0.60/0.82  % (22904)Instructions burned: 2 (million)
% 0.60/0.82  % (22906)Refutation not found, incomplete strategy% (22906)------------------------------
% 0.60/0.82  % (22906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22906)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22906)Memory used [KB]: 966
% 0.60/0.82  % (22906)Time elapsed: 0.002 s
% 0.60/0.82  % (22906)Instructions burned: 2 (million)
% 0.60/0.82  % (22903)------------------------------
% 0.60/0.82  % (22903)------------------------------
% 0.60/0.82  % (22904)------------------------------
% 0.60/0.82  % (22904)------------------------------
% 0.60/0.82  % (22905)Refutation not found, incomplete strategy% (22905)------------------------------
% 0.60/0.82  % (22905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22905)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22905)Memory used [KB]: 1030
% 0.60/0.82  % (22905)Time elapsed: 0.003 s
% 0.60/0.82  % (22905)Instructions burned: 3 (million)
% 0.60/0.82  % (22906)------------------------------
% 0.60/0.82  % (22906)------------------------------
% 0.60/0.82  % (22899)Refutation not found, incomplete strategy% (22899)------------------------------
% 0.60/0.82  % (22899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22899)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22899)Memory used [KB]: 994
% 0.60/0.82  % (22902)Refutation not found, incomplete strategy% (22902)------------------------------
% 0.60/0.82  % (22902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22902)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22902)Memory used [KB]: 965
% 0.60/0.82  % (22902)Time elapsed: 0.003 s
% 0.60/0.82  % (22902)Instructions burned: 2 (million)
% 0.60/0.82  % (22899)Time elapsed: 0.004 s
% 0.60/0.82  % (22899)Instructions burned: 3 (million)
% 0.60/0.82  % (22905)------------------------------
% 0.60/0.82  % (22905)------------------------------
% 0.60/0.82  % (22902)------------------------------
% 0.60/0.82  % (22902)------------------------------
% 0.60/0.82  % (22899)------------------------------
% 0.60/0.82  % (22899)------------------------------
% 0.60/0.82  % (22907)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)
% 0.60/0.82  % (22909)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)
% 0.60/0.82  % (22908)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)
% 0.60/0.82  % (22910)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)
% 0.60/0.82  % (22911)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)
% 0.60/0.82  % (22912)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)
% 0.60/0.82  % (22908)Refutation not found, incomplete strategy% (22908)------------------------------
% 0.60/0.82  % (22908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22908)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22908)Memory used [KB]: 967
% 0.60/0.82  % (22908)Time elapsed: 0.003 s
% 0.60/0.82  % (22908)Instructions burned: 3 (million)
% 0.60/0.82  % (22912)Refutation not found, incomplete strategy% (22912)------------------------------
% 0.60/0.82  % (22912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22911)Refutation not found, incomplete strategy% (22911)------------------------------
% 0.60/0.82  % (22911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22911)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22911)Memory used [KB]: 966
% 0.60/0.82  % (22911)Time elapsed: 0.003 s
% 0.60/0.82  % (22911)Instructions burned: 3 (million)
% 0.60/0.82  % (22908)------------------------------
% 0.60/0.82  % (22908)------------------------------
% 0.60/0.82  % (22912)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (22912)Memory used [KB]: 981
% 0.60/0.82  % (22912)Time elapsed: 0.003 s
% 0.60/0.82  % (22912)Instructions burned: 3 (million)
% 0.60/0.82  % (22901)First to succeed.
% 0.60/0.82  % (22911)------------------------------
% 0.60/0.82  % (22911)------------------------------
% 0.60/0.82  % (22912)------------------------------
% 0.60/0.82  % (22912)------------------------------
% 0.60/0.82  % (22901)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22896"
% 0.60/0.82  % (22900)Also succeeded, but the first one will report.
% 0.60/0.82  % (22901)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Theorem for Vampire---4
% 0.60/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82  % (22901)------------------------------
% 0.60/0.82  % (22901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (22901)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (22901)Memory used [KB]: 1086
% 0.60/0.82  % (22901)Time elapsed: 0.009 s
% 0.60/0.82  % (22901)Instructions burned: 12 (million)
% 0.60/0.82  % (22896)Success in time 0.481 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------