TSTP Solution File: SWV880-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV880-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n007.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 18:54:41 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   36 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  16   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f605,plain,
    $false,
    inference(avatar_sat_refutation,[],[f597,f602,f604]) ).

fof(f604,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f603]) ).

fof(f603,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f596,f441]) ).

fof(f441,axiom,
    ! [X0,X8] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X8,tc_fun(X0,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

fof(f596,plain,
    ( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f594,plain,
    ( spl0_7
  <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f602,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f601]) ).

fof(f601,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f598,f477]) ).

fof(f477,axiom,
    c_in(v_pn,v_U,tc_Com_Opname),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f598,plain,
    ( ~ c_in(v_pn,v_U,tc_Com_Opname)
    | spl0_6 ),
    inference(resolution,[],[f592,f524]) ).

fof(f524,plain,
    ! [X13] :
      ( c_in(hAPP(v_mgt__call,X13),v_G,t_a)
      | ~ c_in(X13,v_U,tc_Com_Opname) ),
    inference(superposition,[],[f472,f476]) ).

fof(f476,axiom,
    v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f472,axiom,
    ! [X3,X0,X8,X6,X7] :
      ( c_in(hAPP(X6,X3),c_Set_Oimage(X6,X8,X7,X0),X0)
      | ~ c_in(X3,X8,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).

fof(f592,plain,
    ( ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f590,plain,
    ( spl0_6
  <=> c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f597,plain,
    ( ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f588,f594,f590]) ).

fof(f588,plain,
    ( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
    | ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
    inference(forward_demodulation,[],[f587,f476]) ).

fof(f587,plain,
    ( ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
    | ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
    inference(forward_demodulation,[],[f584,f476]) ).

fof(f584,plain,
    ( ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)
    | ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
    inference(resolution,[],[f478,f411]) ).

fof(f411,axiom,
    ! [X3,X0,X8,X9] :
      ( c_lessequals(c_Set_Oinsert(X3,X8,X0),X9,tc_fun(X0,tc_bool))
      | ~ c_lessequals(X8,X9,tc_fun(X0,tc_bool))
      | ~ c_in(X3,X9,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).

fof(f478,axiom,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV880-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n007.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   : Tue Aug 30 19:48:46 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  % (21084)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  % (21069)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)
% 0.21/0.52  % (21067)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.52  % (21077)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)
% 0.21/0.53  % (21067)Instruction limit reached!
% 0.21/0.53  % (21067)------------------------------
% 0.21/0.53  % (21067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (21067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (21067)Termination reason: Unknown
% 0.21/0.53  % (21067)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (21067)Memory used [KB]: 6396
% 0.21/0.53  % (21067)Time elapsed: 0.007 s
% 0.21/0.53  % (21067)Instructions burned: 5 (million)
% 0.21/0.53  % (21067)------------------------------
% 0.21/0.53  % (21067)------------------------------
% 0.21/0.53  % (21076)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.54  % (21061)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.55  % (21076)First to succeed.
% 0.21/0.55  % (21076)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (21076)------------------------------
% 0.21/0.55  % (21076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (21076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (21076)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (21076)Memory used [KB]: 6396
% 0.21/0.55  % (21076)Time elapsed: 0.110 s
% 0.21/0.55  % (21076)Instructions burned: 8 (million)
% 0.21/0.55  % (21076)------------------------------
% 0.21/0.55  % (21076)------------------------------
% 0.21/0.55  % (21054)Success in time 0.191 s
%------------------------------------------------------------------------------