TSTP Solution File: ALG348-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG348-1 : TPTP v8.1.2. 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 : 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 : Sun May  5 04:14:09 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   6 unt;   1 typ;   0 def)
%            Number of atoms       :   72 (   3 equ)
%            Maximal formula atoms :    2 (   6 avg)
%            Number of connectives :   13 (   8   ~;   4   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   56 (  56 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   19 (  18   !;   0   ?;  19   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_72,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f1002,plain,
    $false,
    inference(subsumption_resolution,[],[f1001,f910]) ).

tff(f910,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.by300IMIau/Vampire---4.8_5131',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

tff(f1001,plain,
    ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(resolution,[],[f1000,f994]) ).

tff(f994,plain,
    ~ sQ0_eqProxy($i,c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)),
    inference(resolution,[],[f993,f982]) ).

tff(f982,plain,
    ~ sQ0_eqProxy($i,c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex)),
    inference(equality_proxy_replacement,[],[f802,f981]) ).

tff(f981,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f802,axiom,
    c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.by300IMIau/Vampire---4.8_5131',cls_conjecture_0) ).

tff(f993,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X2,X1)
      | ~ sQ0_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f981]) ).

tff(f1000,plain,
    ! [X0: $i,X1: $i,X7: $i,X24: $i] :
      ( sQ0_eqProxy($i,c_Polynomial_Opoly(X7,c_HOL_Oplus__class_Oplus(X24,X1,X0),X0),c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X24,X0),X1,X0))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    inference(forward_literal_rewriting,[],[f983,f993]) ).

tff(f983,plain,
    ! [X0: $i,X1: $i,X7: $i,X24: $i] :
      ( sQ0_eqProxy($i,c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X24,X0),X1,X0),c_Polynomial_Opoly(X7,c_HOL_Oplus__class_Oplus(X24,X1,X0),X0))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    inference(equality_proxy_replacement,[],[f792,f981]) ).

tff(f792,axiom,
    ! [X0: $i,X1: $i,X7: $i,X24: $i] :
      ( ( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X24,X0),X1,X0) = c_Polynomial_Opoly(X7,c_HOL_Oplus__class_Oplus(X24,X1,X0),X0) )
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.by300IMIau/Vampire---4.8_5131',cls_poly__offset__poly_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG348-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % 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
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 19:59:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.21/0.35  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.by300IMIau/Vampire---4.8_5131
% 0.61/0.76  % (5398)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)
% 0.61/0.76  % (5394)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.76  % (5393)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)
% 0.61/0.76  % (5392)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)
% 0.61/0.76  % (5395)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)
% 0.61/0.76  % (5396)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)
% 0.61/0.76  % (5397)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)
% 0.61/0.77  % (5395)Refutation not found, incomplete strategy% (5395)------------------------------
% 0.61/0.77  % (5395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (5395)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (5395)Memory used [KB]: 1659
% 0.61/0.77  % (5395)Time elapsed: 0.004 s
% 0.61/0.77  % (5395)Instructions burned: 4 (million)
% 0.61/0.77  % (5395)------------------------------
% 0.61/0.77  % (5395)------------------------------
% 0.61/0.77  % (5392)First to succeed.
% 0.61/0.77  % (5392)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5387"
% 0.61/0.77  % (5392)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (5392)------------------------------
% 0.61/0.77  % (5392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (5392)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (5392)Memory used [KB]: 1701
% 0.61/0.77  % (5392)Time elapsed: 0.006 s
% 0.61/0.77  % (5392)Instructions burned: 7 (million)
% 0.61/0.77  % (5387)Success in time 0.405 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------