TSTP Solution File: SWV629-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n012.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 : Sat Sep  2 13:57:30 EDT 2023

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   7 unt;   0 def)
%            Number of atoms       :    9 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f560,plain,
    $false,
    inference(trivial_inequality_removal,[],[f557]) ).

fof(f557,plain,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(superposition,[],[f352,f555]) ).

fof(f555,plain,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
    inference(superposition,[],[f552,f334]) ).

fof(f334,axiom,
    ! [X5] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X5),X5,tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.imQKP8hI6w/Vampire---4.8_27651',cls_root__unity_0) ).

fof(f552,plain,
    ! [X1] : c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X1,
    inference(resolution,[],[f311,f383]) ).

fof(f383,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/tmp.imQKP8hI6w/Vampire---4.8_27651',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

fof(f311,axiom,
    ! [X2,X3] :
      ( ~ class_OrderedGroup_Omonoid__mult(X2)
      | c_Power_Opower__class_Opower(X3,c_HOL_Oone__class_Oone(tc_nat),X2) = X3 ),
    file('/export/starexec/sandbox/tmp/tmp.imQKP8hI6w/Vampire---4.8_27651',cls_power__one__right_0) ).

fof(f352,axiom,
    c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
    file('/export/starexec/sandbox/tmp/tmp.imQKP8hI6w/Vampire---4.8_27651',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.17  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.37  % Computer : n012.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Wed Aug 30 17:36:08 EDT 2023
% 0.13/0.37  % CPUTime    : 
% 0.19/0.43  % (27758)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.44  % (27759)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.44  % (27760)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.44  % (27762)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.44  % (27764)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.19/0.44  % (27763)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.19/0.44  % (27761)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.19/0.44  % (27765)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.19/0.45  % (27764)First to succeed.
% 0.19/0.45  % (27764)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Unsatisfiable for Vampire---4
% 0.19/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.45  % (27764)------------------------------
% 0.19/0.45  % (27764)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.45  % (27764)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.45  % (27764)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (27764)Memory used [KB]: 1663
% 0.19/0.45  % (27764)Time elapsed: 0.015 s
% 0.19/0.45  % (27764)------------------------------
% 0.19/0.45  % (27764)------------------------------
% 0.19/0.45  % (27758)Success in time 0.078 s
% 0.19/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------