TSTP Solution File: SWV253-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV253-2 : 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_sat --cores 0 -t %d %s

% Computer : n011.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 18:55:59 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   2 unt;   0 def)
%            Number of atoms       :   39 (  14 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   36 (  16   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(avatar_sat_refutation,[],[f12,f13,f16,f20]) ).

fof(f20,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f19]) ).

fof(f19,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f18,f11]) ).

fof(f11,plain,
    ( v_K != v_K_H
    | spl0_2 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f9,plain,
    ( spl0_2
  <=> v_K = v_K_H ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f18,plain,
    ( v_K = v_K_H
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f17,f3]) ).

fof(f3,axiom,
    ! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).

fof(f17,plain,
    ( v_K = c_Message_OinvKey(c_Message_OinvKey(v_K_H))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f6]) ).

fof(f6,plain,
    ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f5]) ).

fof(f5,plain,
    ( spl0_1
  <=> c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f16,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f15]) ).

fof(f15,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f14]) ).

fof(f14,plain,
    ( c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K_H)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f7,f10]) ).

fof(f10,plain,
    ( v_K = v_K_H
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f7,plain,
    ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f5]) ).

fof(f13,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2,f9,f5]) ).

fof(f2,axiom,
    ( v_K = v_K_H
    | c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f12,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1,f9,f5]) ).

fof(f1,axiom,
    ( v_K != v_K_H
    | c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV253-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 19:06:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (26552)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (26544)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (26535)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (26536)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (26536)First to succeed.
% 0.20/0.52  % (26536)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (26536)------------------------------
% 0.20/0.52  % (26536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26536)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (26536)Memory used [KB]: 5373
% 0.20/0.52  % (26536)Time elapsed: 0.101 s
% 0.20/0.52  % (26536)Instructions burned: 2 (million)
% 0.20/0.52  % (26536)------------------------------
% 0.20/0.52  % (26536)------------------------------
% 0.20/0.52  % (26528)Success in time 0.165 s
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