TSTP Solution File: SWV339-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV339-2 : 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 : n013.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 18:56:27 EDT 2022

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (  13 unt;   0 def)
%            Number of atoms       :   41 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   27 (  13   ~;  12   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-1 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(avatar_sat_refutation,[],[f18,f26,f33]) ).

fof(f33,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | ~ spl4_1 ),
    inference(resolution,[],[f30,f9]) ).

fof(f9,plain,
    ~ c_in(sF2,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f1,f8,f7]) ).

fof(f7,plain,
    c_Message_Omsg_OKey(v_K) = sF2,
    introduced(function_definition,[]) ).

fof(f8,plain,
    c_Event_Oused(v_evs3) = sF3,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f30,plain,
    ( c_in(sF2,sF3,tc_Message_Omsg)
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f29,f7]) ).

fof(f29,plain,
    ( c_in(c_Message_Omsg_OKey(v_K),sF3,tc_Message_Omsg)
    | ~ spl4_1 ),
    inference(forward_demodulation,[],[f28,f13]) ).

fof(f13,plain,
    ( v_K = sF0
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl4_1
  <=> v_K = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f28,plain,
    c_in(c_Message_Omsg_OKey(sF0),sF3,tc_Message_Omsg),
    inference(superposition,[],[f19,f8]) ).

fof(f19,plain,
    ! [X0] : c_in(c_Message_Omsg_OKey(sF0),c_Event_Oused(X0),tc_Message_Omsg),
    inference(superposition,[],[f3,f4]) ).

fof(f4,plain,
    c_Public_OshrK(v_A) = sF0,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    ! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oused(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).

fof(f26,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl4_2 ),
    inference(resolution,[],[f24,f9]) ).

fof(f24,plain,
    ( c_in(sF2,sF3,tc_Message_Omsg)
    | ~ spl4_2 ),
    inference(superposition,[],[f23,f8]) ).

fof(f23,plain,
    ( ! [X1] : c_in(sF2,c_Event_Oused(X1),tc_Message_Omsg)
    | ~ spl4_2 ),
    inference(forward_demodulation,[],[f22,f7]) ).

fof(f22,plain,
    ( ! [X1] : c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X1),tc_Message_Omsg)
    | ~ spl4_2 ),
    inference(forward_demodulation,[],[f20,f17]) ).

fof(f17,plain,
    ( v_K = sF1
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl4_2
  <=> v_K = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f20,plain,
    ! [X1] : c_in(c_Message_Omsg_OKey(sF1),c_Event_Oused(X1),tc_Message_Omsg),
    inference(superposition,[],[f3,f5]) ).

fof(f5,plain,
    c_Public_OshrK(v_B) = sF1,
    introduced(function_definition,[]) ).

fof(f18,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f6,f15,f11]) ).

fof(f6,plain,
    ( v_K = sF1
    | v_K = sF0 ),
    inference(definition_folding,[],[f2,f5,f4]) ).

fof(f2,axiom,
    ( v_K = c_Public_OshrK(v_A)
    | v_K = c_Public_OshrK(v_B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWV339-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 19:13:16 EDT 2022
% 0.14/0.37  % CPUTime    : 
% 0.22/0.51  % (4331)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.22/0.52  % (4331)First to succeed.
% 0.22/0.52  % (4331)Refutation found. Thanks to Tanya!
% 0.22/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52  % (4331)------------------------------
% 0.22/0.52  % (4331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52  % (4331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52  % (4331)Termination reason: Refutation
% 0.22/0.52  
% 0.22/0.52  % (4331)Memory used [KB]: 5373
% 0.22/0.52  % (4331)Time elapsed: 0.085 s
% 0.22/0.52  % (4331)Instructions burned: 2 (million)
% 0.22/0.52  % (4331)------------------------------
% 0.22/0.52  % (4331)------------------------------
% 0.22/0.52  % (4319)Success in time 0.144 s
%------------------------------------------------------------------------------