TSTP Solution File: NUM837+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM837+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 : Tue May 21 01:46:22 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   28 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  10   ~;   7   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  19   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f65,plain,
    $false,
    inference(subsumption_resolution,[],[f62,f44]) ).

fof(f44,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] : vd269 = vplus(vd268,X0),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] : vd269 = vplus(vd268,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(171)') ).

fof(f62,plain,
    vd269 = vplus(vd268,sK2(vd269,vd268)),
    inference(resolution,[],[f53,f45]) ).

fof(f45,plain,
    less(vd268,vd269),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | vplus(X1,sK2(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( vplus(X1,sK2(X0,X1)) = X0
        | ~ less(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f41,f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X1,X3) = X0
     => vplus(X1,sK2(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X3] : vplus(X1,X3) = X0
        | ~ less(X1,X0) ) ),
    inference(rectify,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( less(X1,X0)
    <=> ? [X2] : vplus(X1,X2) = X0 ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X15,X16] :
      ( less(X16,X15)
    <=> ? [X17] : vplus(X16,X17) = X15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM837+2 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n018.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   : Mon May 20 05:34:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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
% 0.58/0.74  % (22498)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)
% 0.58/0.74  % (22498)Refutation not found, incomplete strategy% (22498)------------------------------
% 0.58/0.74  % (22498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (22498)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (22498)Memory used [KB]: 1023
% 0.58/0.74  % (22498)Time elapsed: 0.002 s
% 0.58/0.74  % (22498)Instructions burned: 2 (million)
% 0.58/0.74  % (22498)------------------------------
% 0.58/0.74  % (22498)------------------------------
% 0.58/0.74  % (22491)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)
% 0.58/0.74  % (22493)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.74  % (22492)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)
% 0.58/0.74  % (22495)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)
% 0.58/0.74  % (22496)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)
% 0.58/0.74  % (22494)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)
% 0.58/0.74  % (22497)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)
% 0.58/0.74  % (22496)Also succeeded, but the first one will report.
% 0.58/0.74  % (22493)First to succeed.
% 0.58/0.74  % (22491)Also succeeded, but the first one will report.
% 0.58/0.74  % (22495)Refutation not found, incomplete strategy% (22495)------------------------------
% 0.58/0.74  % (22495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (22495)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (22493)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22490"
% 0.58/0.74  % (22495)Memory used [KB]: 1048
% 0.58/0.74  % (22495)Time elapsed: 0.003 s
% 0.58/0.74  % (22497)Also succeeded, but the first one will report.
% 0.58/0.74  % (22495)Instructions burned: 3 (million)
% 0.58/0.74  % (22499)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)
% 0.58/0.74  % (22495)------------------------------
% 0.58/0.74  % (22495)------------------------------
% 0.58/0.74  % (22493)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for theBenchmark
% 0.58/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.74  % (22493)------------------------------
% 0.58/0.74  % (22493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (22493)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (22493)Memory used [KB]: 1034
% 0.58/0.74  % (22493)Time elapsed: 0.003 s
% 0.58/0.74  % (22493)Instructions burned: 3 (million)
% 0.58/0.74  % (22490)Success in time 0.381 s
% 0.58/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------