TSTP Solution File: SWV139+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n016.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 04:02:41 EDT 2024

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :  129 (   5 equ)
%            Maximal formula atoms :   27 (   6 avg)
%            Number of connectives :  144 (  35   ~;  28   |;  54   &)
%                                         (   0 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f254,plain,
    $false,
    inference(subsumption_resolution,[],[f253,f123]) ).

fof(f123,plain,
    leq(n1,loopcounter),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ~ leq(n0,s_best7)
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv1341) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ( ~ leq(n0,s_best7)
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv1341) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n0)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & leq(n1,loopcounter)
        & leq(tptp_float_0_001,pv1341) )
     => leq(n0,s_best7) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n0)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & leq(n1,loopcounter)
      & leq(tptp_float_0_001,pv1341) )
   => leq(n0,s_best7) ),
    file('/export/starexec/sandbox/tmp/tmp.x3PyOEOYT3/Vampire---4.8_6460',gauss_array_0009) ).

fof(f253,plain,
    ~ leq(n1,loopcounter),
    inference(forward_demodulation,[],[f250,f189]) ).

fof(f189,plain,
    n1 = plus(n1,n0),
    inference(definition_unfolding,[],[f140,f180]) ).

fof(f180,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox/tmp/tmp.x3PyOEOYT3/Vampire---4.8_6460',succ_plus_1_l) ).

fof(f140,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,axiom,
    n1 = succ(n0),
    file('/export/starexec/sandbox/tmp/tmp.x3PyOEOYT3/Vampire---4.8_6460',successor_1) ).

fof(f250,plain,
    ~ leq(plus(n1,n0),loopcounter),
    inference(unit_resulting_resolution,[],[f204,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ~ leq(plus(n1,X0),X1)
      | gt(X1,X0) ),
    inference(definition_unfolding,[],[f125,f180]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X0),X1)
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(succ(X0),X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( leq(succ(X0),X1)
     => gt(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.x3PyOEOYT3/Vampire---4.8_6460',leq_succ_gt) ).

fof(f204,plain,
    ~ gt(loopcounter,n0),
    inference(subsumption_resolution,[],[f115,f124]) ).

fof(f124,plain,
    ~ leq(n0,s_best7),
    inference(cnf_transformation,[],[f88]) ).

fof(f115,plain,
    ( ~ gt(loopcounter,n0)
    | leq(n0,s_best7) ),
    inference(cnf_transformation,[],[f88]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n016.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 19:13:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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/tmp/tmp.x3PyOEOYT3/Vampire---4.8_6460
% 0.56/0.75  % (6727)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 (2996ds/83Mi)
% 0.56/0.75  % (6721)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 (2996ds/34Mi)
% 0.56/0.75  % (6723)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (6722)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 (2996ds/51Mi)
% 0.56/0.75  % (6725)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 (2996ds/34Mi)
% 0.56/0.75  % (6724)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75  % (6726)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76  % (6727)First to succeed.
% 0.56/0.76  % (6727)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Theorem for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (6727)------------------------------
% 0.56/0.76  % (6727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (6727)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (6727)Memory used [KB]: 1153
% 0.56/0.76  % (6727)Time elapsed: 0.004 s
% 0.56/0.76  % (6727)Instructions burned: 7 (million)
% 0.56/0.76  % (6727)------------------------------
% 0.56/0.76  % (6727)------------------------------
% 0.56/0.76  % (6717)Success in time 0.382 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------