%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ANA007-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 04:31:31 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f8]) ).

fof(f8,plain,
    ! [X0] : c_lessequals(X0,X0,t_b),
    inference(unit_resulting_resolution,[],[f6,f3]) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( ~ class_Orderings_Oorder(X1)
      | c_lessequals(X2,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

fof(f6,plain,
    class_Orderings_Oorder(t_b),
    inference(unit_resulting_resolution,[],[f2,f5]) ).

fof(f5,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | class_Orderings_Oorder(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(f2,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f12,plain,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
    inference(superposition,[],[f1,f10]) ).

fof(f10,plain,
    ! [X0] : c_times(c_1,X0,t_b) = X0,
    inference(unit_resulting_resolution,[],[f2,f4]) ).

fof(f4,axiom,
    ! [X3,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X1)
      | c_times(c_1,X3,X1) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).

fof(f1,axiom,
    ! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ANA007-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n027.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   : Fri May  3 15:35:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (14930)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (14937)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 theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (14937)First to succeed.
% 0.14/0.37  % (14937)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14930"
% 0.14/0.37  % (14937)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (14937)------------------------------
% 0.14/0.37  % (14937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (14937)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (14937)Memory used [KB]: 739
% 0.14/0.37  % (14937)Time elapsed: 0.002 s
% 0.14/0.37  % (14937)Instructions burned: 2 (million)
% 0.14/0.37  % (14930)Success in time 0.012 s
%------------------------------------------------------------------------------