TSTP Solution File: ANA023-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA023-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n029.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 : Wed Aug 31 15:44:37 EDT 2022

% Result   : Unsatisfiable 1.27s 0.64s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  18   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2899,plain,
    $false,
    inference(subsumption_resolution,[],[f2874,f2807]) ).

fof(f2807,axiom,
    c_lessequals(v_k(v_x),v_f(v_x),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2874,plain,
    ~ c_lessequals(v_k(v_x),v_f(v_x),t_b),
    inference(resolution,[],[f2871,f2808]) ).

fof(f2808,axiom,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f2871,plain,
    ! [X0] :
      ( c_lessequals(c_0,c_minus(X0,v_g(v_x),t_b),t_b)
      | ~ c_lessequals(v_k(v_x),X0,t_b) ),
    inference(subsumption_resolution,[],[f2865,f2811]) ).

fof(f2811,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(resolution,[],[f2809,f2467]) ).

fof(f2467,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_OrderedGroup_Opordered__ab__group__add(X87) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).

fof(f2809,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f2865,plain,
    ! [X0] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
      | ~ c_lessequals(v_k(v_x),X0,t_b)
      | c_lessequals(c_0,c_minus(X0,v_g(v_x),t_b),t_b) ),
    inference(resolution,[],[f2838,f2797]) ).

fof(f2797,axiom,
    ! [X3,X0,X1,X25] :
      ( ~ c_lessequals(c_plus(X3,X1,X0),X25,X0)
      | c_lessequals(X3,c_minus(X25,X1,X0),X0)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

fof(f2838,plain,
    ! [X0] :
      ( c_lessequals(c_plus(c_0,v_g(v_x),t_b),X0,t_b)
      | ~ c_lessequals(v_k(v_x),X0,t_b) ),
    inference(subsumption_resolution,[],[f2836,f2813]) ).

fof(f2813,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[],[f2809,f2456]) ).

fof(f2456,axiom,
    ! [X87] :
      ( ~ class_Ring__and__Field_Oordered__idom(X87)
      | class_Orderings_Oorder(X87) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(f2836,plain,
    ! [X0] :
      ( ~ class_Orderings_Oorder(t_b)
      | ~ c_lessequals(v_k(v_x),X0,t_b)
      | c_lessequals(c_plus(c_0,v_g(v_x),t_b),X0,t_b) ),
    inference(resolution,[],[f2830,f2803]) ).

fof(f2803,axiom,
    ! [X10,X0,X35,X12] :
      ( ~ c_lessequals(X12,X10,X0)
      | ~ c_lessequals(X10,X35,X0)
      | ~ class_Orderings_Oorder(X0)
      | c_lessequals(X12,X35,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f2830,plain,
    c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
    inference(subsumption_resolution,[],[f2827,f2811]) ).

fof(f2827,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b) ),
    inference(resolution,[],[f2806,f2796]) ).

fof(f2796,axiom,
    ! [X3,X0,X1,X25] :
      ( ~ c_lessequals(X3,c_minus(X25,X1,X0),X0)
      | c_lessequals(c_plus(X3,X1,X0),X25,X0)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).

fof(f2806,axiom,
    c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ANA023-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 15:22:56 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.27/0.60  % (7067)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.27/0.61  % (7059)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.63  % (7067)Instruction limit reached!
% 1.27/0.63  % (7067)------------------------------
% 1.27/0.63  % (7067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.63  % (7067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.63  % (7067)Termination reason: Unknown
% 1.27/0.63  % (7067)Termination phase: Function definition elimination
% 1.27/0.63  
% 1.27/0.63  % (7067)Memory used [KB]: 3709
% 1.27/0.63  % (7067)Time elapsed: 0.009 s
% 1.27/0.63  % (7067)Instructions burned: 6 (million)
% 1.27/0.63  % (7067)------------------------------
% 1.27/0.63  % (7067)------------------------------
% 1.27/0.63  % (7074)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.27/0.63  % (7066)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.27/0.63  % (7059)First to succeed.
% 1.27/0.64  % (7059)Refutation found. Thanks to Tanya!
% 1.27/0.64  % SZS status Unsatisfiable for theBenchmark
% 1.27/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.64  % (7059)------------------------------
% 1.27/0.64  % (7059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.64  % (7059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.64  % (7059)Termination reason: Refutation
% 1.27/0.64  
% 1.27/0.64  % (7059)Memory used [KB]: 8315
% 1.27/0.64  % (7059)Time elapsed: 0.105 s
% 1.27/0.64  % (7059)Instructions burned: 19 (million)
% 1.27/0.64  % (7059)------------------------------
% 1.27/0.64  % (7059)------------------------------
% 1.27/0.64  % (7049)Success in time 0.281 s
%------------------------------------------------------------------------------