TSTP Solution File: ANA024-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ANA024-2 : 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 : 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 : Wed Aug 31 15:44:37 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   21 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   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   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f3]) ).

fof(f3,axiom,
    ! [X4] : c_lessequals(v_k(X4),v_f(X4),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f13,plain,
    ~ c_lessequals(v_k(v_x),v_f(v_x),t_b),
    inference(resolution,[],[f12,f4]) ).

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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b)
      | ~ c_lessequals(X0,X2,t_b) ),
    inference(superposition,[],[f9,f11]) ).

fof(f11,plain,
    ! [X0,X1] : c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
    inference(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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).

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

fof(f5,axiom,
    ! [X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | class_OrderedGroup_Oab__group__add(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).

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

fof(f6,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | class_OrderedGroup_Opordered__ab__group__add(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).

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

fof(f9,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_plus(X0,X2,t_b),X1,t_b)
      | c_lessequals(X0,c_minus(X1,X2,t_b),t_b) ),
    inference(resolution,[],[f8,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
      | c_lessequals(X1,c_minus(X3,X2,X0),X0)
      | ~ c_lessequals(c_plus(X1,X2,X0),X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n027.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   : Mon Aug 29 15:28:00 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (13911)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.49  % (13911)Refutation not found, incomplete strategy% (13911)------------------------------
% 0.19/0.49  % (13911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (13911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (13911)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49  
% 0.19/0.49  % (13911)Memory used [KB]: 5756
% 0.19/0.49  % (13911)Time elapsed: 0.088 s
% 0.19/0.49  % (13911)------------------------------
% 0.19/0.49  % (13911)------------------------------
% 0.19/0.50  % (13912)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50  % (13928)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (13928)First to succeed.
% 0.19/0.50  % (13919)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50  % (13921)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (13919)Also succeeded, but the first one will report.
% 0.19/0.50  % (13928)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (13928)------------------------------
% 0.19/0.50  % (13928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (13928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (13928)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (13928)Memory used [KB]: 5756
% 0.19/0.50  % (13928)Time elapsed: 0.101 s
% 0.19/0.50  % (13928)Instructions burned: 1 (million)
% 0.19/0.50  % (13928)------------------------------
% 0.19/0.50  % (13928)------------------------------
% 0.19/0.50  % (13903)Success in time 0.152 s
%------------------------------------------------------------------------------