TSTP Solution File: ALG367-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG367-1 : 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 04:14:15 EDT 2024

% Result   : Unsatisfiable 0.66s 0.81s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   18 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  13   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1078,plain,
    $false,
    inference(unit_resulting_resolution,[],[f895,f1071,f748]) ).

fof(f748,axiom,
    ! [X0,X7,X27] :
      ( c_Polynomial_Odegree(X7,X0) = c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X27,X0),X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.zFktHbAjq6/Vampire---4.8_1549',cls_degree__offset__poly_0) ).

fof(f1071,plain,
    c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(equality_resolution,[],[f979]) ).

fof(f979,plain,
    ! [X0,X1] :
      ( c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
      | c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
    inference(subsumption_resolution,[],[f970,f895]) ).

fof(f970,plain,
    ! [X0,X1] :
      ( c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
      | c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f966,f747]) ).

fof(f747,axiom,
    ! [X0,X1,X7,X27] :
      ( c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X27,X0),X1,X0) = c_Polynomial_Opoly(X7,c_HOL_Oplus__class_Oplus(X27,X1,X0),X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.zFktHbAjq6/Vampire---4.8_1549',cls_poly__offset__poly_0) ).

fof(f966,plain,
    ! [X32] :
      ( c_Polynomial_Opoly(X32,v_q(X32),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X32),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
      | c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Polynomial_Odegree(X32,tc_Complex_Ocomplex) ),
    inference(subsumption_resolution,[],[f787,f786]) ).

fof(f786,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/tmp.zFktHbAjq6/Vampire---4.8_1549',cls_conjecture_0) ).

fof(f787,axiom,
    ! [X32] :
      ( v_thesis____
      | c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Polynomial_Odegree(X32,tc_Complex_Ocomplex)
      | c_Polynomial_Opoly(X32,v_q(X32),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X32),tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
    file('/export/starexec/sandbox/tmp/tmp.zFktHbAjq6/Vampire---4.8_1549',cls_conjecture_1) ).

fof(f895,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.zFktHbAjq6/Vampire---4.8_1549',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ALG367-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.15  % 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   : Fri May  3 19:58:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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/tmp/tmp.zFktHbAjq6/Vampire---4.8_1549
% 0.59/0.77  % (1881)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)
% 0.59/0.77  % (1873)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)
% 0.59/0.77  % (1876)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.77  % (1874)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)
% 0.59/0.77  % (1877)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)
% 0.59/0.77  % (1878)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)
% 0.59/0.77  % (1879)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)
% 0.59/0.77  % (1880)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)
% 0.59/0.77  % (1877)Refutation not found, incomplete strategy% (1877)------------------------------
% 0.59/0.77  % (1877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (1877)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (1877)Memory used [KB]: 1658
% 0.59/0.77  % (1877)Time elapsed: 0.004 s
% 0.59/0.77  % (1877)Instructions burned: 5 (million)
% 0.59/0.77  % (1877)------------------------------
% 0.59/0.77  % (1877)------------------------------
% 0.59/0.77  % (1873)Refutation not found, incomplete strategy% (1873)------------------------------
% 0.59/0.77  % (1873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (1873)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (1873)Memory used [KB]: 1694
% 0.59/0.77  % (1873)Time elapsed: 0.006 s
% 0.59/0.77  % (1873)Instructions burned: 7 (million)
% 0.59/0.78  % (1873)------------------------------
% 0.59/0.78  % (1873)------------------------------
% 0.59/0.78  % (1885)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)
% 0.59/0.78  % (1887)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)
% 0.59/0.79  % (1878)Instruction limit reached!
% 0.59/0.79  % (1878)------------------------------
% 0.59/0.79  % (1878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (1878)Termination reason: Unknown
% 0.59/0.79  % (1878)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (1878)Memory used [KB]: 2170
% 0.59/0.79  % (1878)Time elapsed: 0.018 s
% 0.59/0.79  % (1878)Instructions burned: 35 (million)
% 0.59/0.79  % (1878)------------------------------
% 0.59/0.79  % (1878)------------------------------
% 0.59/0.79  % (1881)Instruction limit reached!
% 0.59/0.79  % (1881)------------------------------
% 0.59/0.79  % (1881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (1881)Termination reason: Unknown
% 0.59/0.79  % (1881)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (1881)Memory used [KB]: 2212
% 0.59/0.79  % (1881)Time elapsed: 0.019 s
% 0.59/0.79  % (1881)Instructions burned: 56 (million)
% 0.59/0.79  % (1881)------------------------------
% 0.59/0.79  % (1881)------------------------------
% 0.59/0.79  % (1880)Refutation not found, incomplete strategy% (1880)------------------------------
% 0.59/0.79  % (1880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (1880)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.79  
% 0.66/0.79  % (1880)Memory used [KB]: 1933
% 0.66/0.79  % (1880)Time elapsed: 0.019 s
% 0.66/0.79  % (1880)Instructions burned: 34 (million)
% 0.66/0.79  % (1880)------------------------------
% 0.66/0.79  % (1880)------------------------------
% 0.66/0.79  % (1893)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)
% 0.66/0.79  % (1895)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)
% 0.66/0.79  % (1893)Refutation not found, incomplete strategy% (1893)------------------------------
% 0.66/0.79  % (1893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (1893)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.79  
% 0.66/0.79  % (1893)Memory used [KB]: 1679
% 0.66/0.79  % (1893)Time elapsed: 0.003 s
% 0.66/0.79  % (1893)Instructions burned: 7 (million)
% 0.66/0.79  % (1893)------------------------------
% 0.66/0.79  % (1893)------------------------------
% 0.66/0.79  % (1896)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)
% 0.66/0.79  % (1879)Instruction limit reached!
% 0.66/0.79  % (1879)------------------------------
% 0.66/0.79  % (1879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (1879)Termination reason: Unknown
% 0.66/0.79  % (1879)Termination phase: Saturation
% 0.66/0.79  
% 0.66/0.79  % (1879)Memory used [KB]: 2288
% 0.66/0.79  % (1879)Time elapsed: 0.025 s
% 0.66/0.79  % (1879)Instructions burned: 45 (million)
% 0.66/0.79  % (1879)------------------------------
% 0.66/0.79  % (1879)------------------------------
% 0.66/0.79  % (1899)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)
% 0.66/0.80  % (1900)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.66/0.80  % (1874)Instruction limit reached!
% 0.66/0.80  % (1874)------------------------------
% 0.66/0.80  % (1874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80  % (1874)Termination reason: Unknown
% 0.66/0.80  % (1874)Termination phase: Saturation
% 0.66/0.80  
% 0.66/0.80  % (1874)Memory used [KB]: 2143
% 0.66/0.80  % (1874)Time elapsed: 0.030 s
% 0.66/0.80  % (1874)Instructions burned: 51 (million)
% 0.66/0.80  % (1874)------------------------------
% 0.66/0.80  % (1874)------------------------------
% 0.66/0.80  % (1902)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.66/0.80  % (1896)First to succeed.
% 0.66/0.80  % (1896)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1814"
% 0.66/0.81  % (1896)Refutation found. Thanks to Tanya!
% 0.66/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.66/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.81  % (1896)------------------------------
% 0.66/0.81  % (1896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81  % (1896)Termination reason: Refutation
% 0.66/0.81  
% 0.66/0.81  % (1896)Memory used [KB]: 1829
% 0.66/0.81  % (1896)Time elapsed: 0.013 s
% 0.66/0.81  % (1896)Instructions burned: 19 (million)
% 0.66/0.81  % (1814)Success in time 0.427 s
% 0.66/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------