%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n005.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 19:25:26 EDT 2022

% Result   : Theorem 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (   3 unt;   0 def)
%            Number of atoms       :   51 (  30 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  16   ~;  22   |;   1   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f21,f28,f35]) ).

fof(f35,plain,
    ( ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f34,f13,f17]) ).

fof(f17,plain,
    ( spl0_2
  <=> a = b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f13,plain,
    ( spl0_1
  <=> a = c ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f34,plain,
    ( a != b
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f7,f14]) ).

fof(f14,plain,
    ( a = c
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f7,plain,
    b != c,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( b != c
    & a != d ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ( b = c
      | a = d ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ( b = c
    | a = d ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48) ).

fof(f28,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f27]) ).

fof(f27,plain,
    ( $false
    | spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f26,f18]) ).

fof(f18,plain,
    ( a != b
    | spl0_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f26,plain,
    ( a = b
    | spl0_1 ),
    inference(subsumption_resolution,[],[f25,f7]) ).

fof(f25,plain,
    ( b = c
    | a = b
    | spl0_1 ),
    inference(backward_demodulation,[],[f9,f23]) ).

fof(f23,plain,
    ( b = d
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f15,f8]) ).

fof(f8,plain,
    ( a = c
    | b = d ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( b = d
    | a = c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48_2) ).

fof(f15,plain,
    ( a != c
    | spl0_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f9,plain,
    ( a = b
    | c = d ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( a = b
    | c = d ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48_1) ).

fof(f21,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f10,f13,f17]) ).

fof(f10,plain,
    ( a = c
    | a != b ),
    inference(superposition,[],[f6,f8]) ).

fof(f6,plain,
    a != d,
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f11,f17,f13]) ).

fof(f11,plain,
    ( a = b
    | a != c ),
    inference(superposition,[],[f6,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n005.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 21:27:33 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.22/0.49  % (31191)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.49  % (31191)First to succeed.
% 0.22/0.49  % (31191)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Theorem for theBenchmark
% 0.22/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49  % (31191)------------------------------
% 0.22/0.49  % (31191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.49  % (31191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.49  % (31191)Termination reason: Refutation
% 0.22/0.49  
% 0.22/0.49  % (31191)Memory used [KB]: 5884
% 0.22/0.49  % (31191)Time elapsed: 0.074 s
% 0.22/0.49  % (31191)Instructions burned: 2 (million)
% 0.22/0.49  % (31191)------------------------------
% 0.22/0.49  % (31191)------------------------------
% 0.22/0.49  % (31183)Success in time 0.122 s
%------------------------------------------------------------------------------