TSTP Solution File: ALG432-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG432-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 04:14:32 EDT 2024

% Result   : Unsatisfiable 0.54s 0.71s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   22 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  11   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1072,plain,
    $false,
    inference(subsumption_resolution,[],[f1071,f1067]) ).

fof(f1067,plain,
    ! [X0] : c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0,
    inference(subsumption_resolution,[],[f969,f854]) ).

fof(f854,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/tmp/tmp.YD7p0FTpBn/Vampire---4.8_32597',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

fof(f969,plain,
    ! [X0] :
      ( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = X0
      | ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f702,f736]) ).

fof(f736,axiom,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/tmp/tmp.YD7p0FTpBn/Vampire---4.8_32597',cls_conjecture_0) ).

fof(f702,axiom,
    ! [X3,X0] :
      ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X0),X3,X0) = X3
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.YD7p0FTpBn/Vampire---4.8_32597',cls_class__semiring_Oadd__0_0) ).

fof(f1071,plain,
    c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(forward_demodulation,[],[f1070,f1064]) ).

fof(f1064,plain,
    ! [X0] : c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(subsumption_resolution,[],[f965,f854]) ).

fof(f965,plain,
    ! [X0] :
      ( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
      | ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f651,f736]) ).

fof(f651,axiom,
    ! [X0,X1] :
      ( c_HOL_Ozero__class_Ozero(X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.YD7p0FTpBn/Vampire---4.8_32597',cls_class__semiring_Osemiring__rules_I10_J_0) ).

fof(f1070,plain,
    c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_x,c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(subsumption_resolution,[],[f1069,f855]) ).

fof(f855,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/tmp/tmp.YD7p0FTpBn/Vampire---4.8_32597',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

fof(f1069,plain,
    ( c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_x,c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f939,f715]) ).

fof(f715,axiom,
    ! [X3,X0,X1,X23] :
      ( c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X23,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,c_Polynomial_Opoly(X23,X3,X0),X0),X0)
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.YD7p0FTpBn/Vampire---4.8_32597',cls_poly__pCons_0) ).

fof(f939,plain,
    c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_Polynomial_OpCons(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),
    inference(forward_demodulation,[],[f737,f736]) ).

fof(f737,axiom,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/tmp/tmp.YD7p0FTpBn/Vampire---4.8_32597',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG432-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.14  % 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
% 0.14/0.33  % Computer : n017.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Fri May  3 19:54:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.34  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.YD7p0FTpBn/Vampire---4.8_32597
% 0.54/0.69  % (382)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 (2996ds/56Mi)
% 0.54/0.70  % (375)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)
% 0.54/0.70  % (377)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.70  % (378)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)
% 0.54/0.70  % (379)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)
% 0.54/0.70  % (380)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)
% 0.54/0.70  % (376)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)
% 0.54/0.70  % (381)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)
% 0.54/0.70  % (382)Refutation not found, incomplete strategy% (382)------------------------------
% 0.54/0.70  % (382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.70  % (382)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.70  
% 0.54/0.70  % (382)Memory used [KB]: 1683
% 0.54/0.70  % (382)Time elapsed: 0.004 s
% 0.54/0.70  % (382)Instructions burned: 7 (million)
% 0.54/0.70  % (382)------------------------------
% 0.54/0.70  % (382)------------------------------
% 0.54/0.70  % (378)Refutation not found, incomplete strategy% (378)------------------------------
% 0.54/0.70  % (378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.70  % (378)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.70  
% 0.54/0.70  % (378)Memory used [KB]: 1666
% 0.54/0.70  % (378)Time elapsed: 0.005 s
% 0.54/0.70  % (378)Instructions burned: 5 (million)
% 0.54/0.70  % (378)------------------------------
% 0.54/0.70  % (378)------------------------------
% 0.54/0.70  % (388)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 (2996ds/55Mi)
% 0.54/0.70  % (375)Refutation not found, incomplete strategy% (375)------------------------------
% 0.54/0.70  % (375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.70  % (375)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.70  
% 0.54/0.70  % (375)Memory used [KB]: 1707
% 0.54/0.70  % (375)Time elapsed: 0.007 s
% 0.54/0.70  % (375)Instructions burned: 9 (million)
% 0.54/0.70  % (375)------------------------------
% 0.54/0.70  % (375)------------------------------
% 0.54/0.70  % (380)First to succeed.
% 0.54/0.70  % (380)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-310"
% 0.54/0.70  % (389)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 (2996ds/50Mi)
% 0.54/0.71  % (380)Refutation found. Thanks to Tanya!
% 0.54/0.71  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.71  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.71  % (380)------------------------------
% 0.54/0.71  % (380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.71  % (380)Termination reason: Refutation
% 0.54/0.71  
% 0.54/0.71  % (380)Memory used [KB]: 1710
% 0.54/0.71  % (380)Time elapsed: 0.009 s
% 0.54/0.71  % (380)Instructions burned: 13 (million)
% 0.54/0.71  % (310)Success in time 0.357 s
% 0.54/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------