TSTP Solution File: ANA009-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ANA009-2 : 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 : n004.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 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   18 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(resolution,[],[f18,f4]) ).

fof(f4,axiom,
    ~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f18,plain,
    ! [X0] : c_lessequals(c_0,c_plus(v_f(X0),c_uminus(v_lb(X0),t_b),t_b),t_b),
    inference(superposition,[],[f14,f12]) ).

fof(f12,plain,
    ! [X0] : c_0 = c_plus(X0,c_uminus(X0,t_b),t_b),
    inference(unit_resulting_resolution,[],[f10,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oright__minus_0) ).

fof(f10,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(unit_resulting_resolution,[],[f7,f6]) ).

fof(f6,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | class_OrderedGroup_Oab__group__add(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

fof(f7,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f14,plain,
    ! [X0,X1] : c_lessequals(c_plus(v_lb(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b),
    inference(unit_resulting_resolution,[],[f3,f8,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X2,X0)
      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
      | c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_1) ).

fof(f8,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
    inference(unit_resulting_resolution,[],[f7,f5]) ).

fof(f5,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).

fof(f3,axiom,
    ! [X4] : c_lessequals(v_lb(X4),v_f(X4),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 15:33:37 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (19956)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (19959)WARNING: value z3 for option sas not known
% 0.12/0.36  % (19959)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 theBenchmark for (569ds/0Mi)
% 0.12/0.36  % (19962)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 theBenchmark for (522ds/0Mi)
% 0.12/0.36  % (19961)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 theBenchmark for (531ds/0Mi)
% 0.12/0.36  % (19958)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (19960)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  % (19963)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)
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  % (19963)First to succeed.
% 0.12/0.36  % (19962)Also succeeded, but the first one will report.
% 0.12/0.36  % (19963)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19956"
% 0.12/0.36  % (19957)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36  % (19961)Also succeeded, but the first one will report.
% 0.12/0.36  TRYING [3]
% 0.12/0.36  % (19959)Also succeeded, but the first one will report.
% 0.12/0.36  % (19963)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (19963)------------------------------
% 0.12/0.36  % (19963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36  % (19963)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (19963)Memory used [KB]: 742
% 0.12/0.36  % (19963)Time elapsed: 0.003 s
% 0.12/0.36  % (19963)Instructions burned: 3 (million)
% 0.12/0.36  % (19956)Success in time 0.018 s
%------------------------------------------------------------------------------