%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU188+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n009.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 18:27:14 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   37 (   8 unt;   0 def)
%            Number of atoms       :   88 (  22 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   92 (  41   ~;  36   |;   6   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f910,plain,
    $false,
    inference(avatar_sat_refutation,[],[f798,f902,f909]) ).

fof(f909,plain,
    ~ spl52_1,
    inference(avatar_contradiction_clause,[],[f908]) ).

fof(f908,plain,
    ( $false
    | ~ spl52_1 ),
    inference(subsumption_resolution,[],[f907,f839]) ).

fof(f839,plain,
    ~ empty(sK49),
    inference(unit_resulting_resolution,[],[f628,f486]) ).

fof(f486,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f267]) ).

fof(f267,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(f628,plain,
    empty_set != sK49,
    inference(cnf_transformation,[],[f350]) ).

fof(f350,plain,
    ? [X0] :
      ( ( empty_set = relation_dom(X0)
        | empty_set = relation_rng(X0) )
      & empty_set != X0
      & relation(X0) ),
    inference(flattening,[],[f349]) ).

fof(f349,plain,
    ? [X0] :
      ( empty_set != X0
      & ( empty_set = relation_dom(X0)
        | empty_set = relation_rng(X0) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( ( empty_set = relation_dom(X0)
            | empty_set = relation_rng(X0) )
         => empty_set = X0 ) ),
    inference(negated_conjecture,[],[f156]) ).

fof(f156,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( ( empty_set = relation_dom(X0)
          | empty_set = relation_rng(X0) )
       => empty_set = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).

fof(f907,plain,
    ( empty(sK49)
    | ~ spl52_1 ),
    inference(subsumption_resolution,[],[f906,f627]) ).

fof(f627,plain,
    relation(sK49),
    inference(cnf_transformation,[],[f350]) ).

fof(f906,plain,
    ( ~ relation(sK49)
    | empty(sK49)
    | ~ spl52_1 ),
    inference(subsumption_resolution,[],[f905,f377]) ).

fof(f377,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(f905,plain,
    ( ~ empty(empty_set)
    | ~ relation(sK49)
    | empty(sK49)
    | ~ spl52_1 ),
    inference(superposition,[],[f485,f793]) ).

fof(f793,plain,
    ( empty_set = relation_dom(sK49)
    | ~ spl52_1 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f791,plain,
    ( spl52_1
  <=> empty_set = relation_dom(sK49) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).

fof(f485,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | empty(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f266]) ).

fof(f266,plain,
    ! [X0] :
      ( ~ relation(X0)
      | empty(X0)
      | ~ empty(relation_dom(X0)) ),
    inference(flattening,[],[f265]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ empty(relation_dom(X0))
      | empty(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,axiom,
    ! [X0] :
      ( ( ~ empty(X0)
        & relation(X0) )
     => ~ empty(relation_dom(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).

fof(f902,plain,
    ~ spl52_2,
    inference(avatar_contradiction_clause,[],[f901]) ).

fof(f901,plain,
    ( $false
    | ~ spl52_2 ),
    inference(subsumption_resolution,[],[f900,f839]) ).

fof(f900,plain,
    ( empty(sK49)
    | ~ spl52_2 ),
    inference(subsumption_resolution,[],[f899,f377]) ).

fof(f899,plain,
    ( ~ empty(empty_set)
    | empty(sK49)
    | ~ spl52_2 ),
    inference(subsumption_resolution,[],[f898,f627]) ).

fof(f898,plain,
    ( ~ relation(sK49)
    | ~ empty(empty_set)
    | empty(sK49)
    | ~ spl52_2 ),
    inference(superposition,[],[f419,f797]) ).

fof(f797,plain,
    ( empty_set = relation_rng(sK49)
    | ~ spl52_2 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f795,plain,
    ( spl52_2
  <=> empty_set = relation_rng(sK49) ),
    introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).

fof(f419,plain,
    ! [X0] :
      ( ~ empty(relation_rng(X0))
      | empty(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f275]) ).

fof(f275,plain,
    ! [X0] :
      ( ~ relation(X0)
      | empty(X0)
      | ~ empty(relation_rng(X0)) ),
    inference(flattening,[],[f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ empty(relation_rng(X0))
      | empty(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ( ~ empty(X0)
        & relation(X0) )
     => ~ empty(relation_rng(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).

fof(f798,plain,
    ( spl52_1
    | spl52_2 ),
    inference(avatar_split_clause,[],[f626,f795,f791]) ).

fof(f626,plain,
    ( empty_set = relation_rng(sK49)
    | empty_set = relation_dom(sK49) ),
    inference(cnf_transformation,[],[f350]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 14:45:20 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (14310)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51  % (14313)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51  % (14318)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52  % (14314)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52  % (14303)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52  % (14302)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52  % (14324)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.52  % (14316)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (14312)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.53  % (14315)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (14317)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (14310)First to succeed.
% 0.21/0.53  % (14305)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (14326)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (14316)Instruction limit reached!
% 0.21/0.53  % (14316)------------------------------
% 0.21/0.53  % (14316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (14316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (14316)Termination reason: Unknown
% 0.21/0.53  % (14316)Termination phase: Preprocessing 3
% 0.21/0.53  
% 0.21/0.53  % (14316)Memory used [KB]: 1663
% 0.21/0.53  % (14316)Time elapsed: 0.005 s
% 0.21/0.53  % (14316)Instructions burned: 4 (million)
% 0.21/0.53  % (14316)------------------------------
% 0.21/0.53  % (14316)------------------------------
% 0.21/0.53  % (14310)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (14310)------------------------------
% 0.21/0.53  % (14310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (14310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (14310)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (14310)Memory used [KB]: 6652
% 0.21/0.53  % (14310)Time elapsed: 0.110 s
% 0.21/0.53  % (14310)Instructions burned: 23 (million)
% 0.21/0.53  % (14310)------------------------------
% 0.21/0.53  % (14310)------------------------------
% 0.21/0.53  % (14301)Success in time 0.183 s
%------------------------------------------------------------------------------