TSTP Solution File: ANA024-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ANA024-2 : 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 : n020.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 04:31:56 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            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 :   13 (   8   ~;   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;   2 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(subsumption_resolution,[],[f16,f3]) ).

fof(f3,axiom,
    ! [X4] : c_lessequals(v_k(X4),v_f(X4),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f16,plain,
    ~ c_lessequals(v_k(v_x),v_f(v_x),t_b),
    inference(forward_demodulation,[],[f14,f12]) ).

fof(f12,plain,
    ! [X0,X1] : c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
    inference(unit_resulting_resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ class_OrderedGroup_Oab__group__add(X0)
      | c_plus(c_minus(X1,X2,X0),X2,X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).

fof(f10,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(unit_resulting_resolution,[],[f8,f5]) ).

fof(f5,axiom,
    ! [X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | class_OrderedGroup_Oab__group__add(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).

fof(f8,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(unit_resulting_resolution,[],[f7,f6]) ).

fof(f6,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | class_OrderedGroup_Opordered__ab__group__add(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).

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

fof(f14,plain,
    ~ c_lessequals(c_plus(c_minus(v_k(v_x),v_g(v_x),t_b),v_g(v_x),t_b),v_f(v_x),t_b),
    inference(unit_resulting_resolution,[],[f8,f4,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
      | c_lessequals(X1,c_minus(X3,X2,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

fof(f4,axiom,
    ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ANA024-2 : 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 : n020.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 15:29:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (25265)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (25267)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  % (25268)WARNING: value z3 for option sas not known
% 0.14/0.37  TRYING [4]
% 0.14/0.37  % (25266)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (25268)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)
% 0.14/0.37  % (25271)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)
% 0.14/0.37  % (25272)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  % (25269)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (25270)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)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  % (25272)First to succeed.
% 0.14/0.37  % (25271)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [2]
% 0.14/0.37  % (25272)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25265"
% 0.14/0.37  TRYING [5]
% 0.14/0.37  TRYING [1]
% 0.14/0.38  % (25270)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (25268)Also succeeded, but the first one will report.
% 0.14/0.38  % (25272)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (25272)------------------------------
% 0.14/0.38  % (25272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (25272)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (25272)Memory used [KB]: 741
% 0.14/0.38  % (25272)Time elapsed: 0.003 s
% 0.14/0.38  % (25272)Instructions burned: 2 (million)
% 0.14/0.38  % (25265)Success in time 0.009 s
%------------------------------------------------------------------------------