%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET929+1 : 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_uns --cores 0 -t %d %s

% Computer : n002.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 18:22:46 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   39 (   1 unt;   0 def)
%            Number of atoms       :   93 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   89 (  35   ~;  38   |;   6   &)
%                                         (   9 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   34 (  31   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f122,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f45,f46,f88,f100,f121]) ).

fof(f121,plain,
    ( ~ spl5_1
    | spl5_3 ),
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f120,plain,
    ( $false
    | ~ spl5_1
    | spl5_3 ),
    inference(subsumption_resolution,[],[f115,f43]) ).

fof(f43,plain,
    ( ~ in(sK2,sK1)
    | spl5_3 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl5_3
  <=> in(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f115,plain,
    ( in(sK2,sK1)
    | ~ spl5_1 ),
    inference(resolution,[],[f91,f20]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ subset(unordered_pair(X1,X2),X0)
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X1,X2,X0] :
      ( subset(unordered_pair(X1,X2),X0)
    <=> ( in(X2,X0)
        & in(X1,X0) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ( in(X1,X2)
        & in(X0,X2) )
    <=> subset(unordered_pair(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).

fof(f91,plain,
    ( subset(unordered_pair(sK2,sK3),sK1)
    | ~ spl5_1 ),
    inference(unit_resulting_resolution,[],[f35,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( empty_set != set_difference(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> empty_set = set_difference(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).

fof(f35,plain,
    ( empty_set = set_difference(unordered_pair(sK2,sK3),sK1)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl5_1
  <=> empty_set = set_difference(unordered_pair(sK2,sK3),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f100,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f96]) ).

fof(f96,plain,
    ( $false
    | ~ spl5_1
    | spl5_2 ),
    inference(unit_resulting_resolution,[],[f35,f89,f26]) ).

fof(f89,plain,
    ( ! [X0] : ~ subset(unordered_pair(X0,sK3),sK1)
    | spl5_2 ),
    inference(unit_resulting_resolution,[],[f38,f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ~ subset(unordered_pair(X1,X2),X0)
      | in(X2,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f38,plain,
    ( ~ in(sK3,sK1)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl5_2
  <=> in(sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f88,plain,
    ( spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(avatar_contradiction_clause,[],[f87]) ).

fof(f87,plain,
    ( $false
    | spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f83,f34]) ).

fof(f34,plain,
    ( empty_set != set_difference(unordered_pair(sK2,sK3),sK1)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f83,plain,
    ( empty_set = set_difference(unordered_pair(sK2,sK3),sK1)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(resolution,[],[f56,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | empty_set = set_difference(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f56,plain,
    ( subset(unordered_pair(sK2,sK3),sK1)
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(unit_resulting_resolution,[],[f39,f44,f22]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( subset(unordered_pair(X1,X2),X0)
      | ~ in(X1,X0)
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f44,plain,
    ( in(sK2,sK1)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f39,plain,
    ( in(sK3,sK1)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f46,plain,
    ( ~ spl5_3
    | ~ spl5_2
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f28,f33,f37,f42]) ).

fof(f28,plain,
    ( empty_set != set_difference(unordered_pair(sK2,sK3),sK1)
    | ~ in(sK3,sK1)
    | ~ in(sK2,sK1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ? [X0,X2,X1] :
      ( empty_set = set_difference(unordered_pair(X2,X1),X0)
    <~> ( in(X1,X0)
        & in(X2,X0) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X2,X0,X1] :
        ( empty_set = set_difference(unordered_pair(X2,X1),X0)
      <=> ( in(X1,X0)
          & in(X2,X0) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X2,X1,X0] :
        ( ( in(X0,X2)
          & in(X1,X2) )
      <=> empty_set = set_difference(unordered_pair(X0,X1),X2) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X2,X1,X0] :
      ( ( in(X0,X2)
        & in(X1,X2) )
    <=> empty_set = set_difference(unordered_pair(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_zfmisc_1) ).

fof(f45,plain,
    ( spl5_1
    | spl5_3 ),
    inference(avatar_split_clause,[],[f29,f42,f33]) ).

fof(f29,plain,
    ( in(sK2,sK1)
    | empty_set = set_difference(unordered_pair(sK2,sK3),sK1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f40,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f30,f37,f33]) ).

fof(f30,plain,
    ( in(sK3,sK1)
    | empty_set = set_difference(unordered_pair(sK2,sK3),sK1) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % 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 : n002.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 14:43:29 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.51  % (16987)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51  % (16989)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  % (16989)First to succeed.
% 0.21/0.51  % (16984)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)
% 0.21/0.52  % (16986)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.52  % (16986)Refutation not found, incomplete strategy% (16986)------------------------------
% 0.21/0.52  % (16986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (16986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (16986)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (16986)Memory used [KB]: 1407
% 0.21/0.52  % (16986)Time elapsed: 0.111 s
% 0.21/0.52  % (16986)Instructions burned: 2 (million)
% 0.21/0.52  % (16986)------------------------------
% 0.21/0.52  % (16986)------------------------------
% 0.21/0.52  % (16992)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)
% 0.21/0.52  % (17004)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.52  % (16981)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53  % (17010)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53  % (16983)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (16990)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.53  % (16983)Instruction limit reached!
% 0.21/0.53  % (16983)------------------------------
% 0.21/0.53  % (16983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (17003)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)
% 0.21/0.53  % (16997)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)
% 0.21/0.53  % (16999)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (17007)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (16988)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)
% 0.21/0.53  % (17002)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (16981)Also succeeded, but the first one will report.
% 0.21/0.53  % (16989)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  % (16989)------------------------------
% 0.21/0.53  % (16989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (16989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (16989)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (16989)Memory used [KB]: 6012
% 0.21/0.53  % (16989)Time elapsed: 0.104 s
% 0.21/0.53  % (16989)Instructions burned: 4 (million)
% 0.21/0.53  % (16989)------------------------------
% 0.21/0.53  % (16989)------------------------------
% 0.21/0.53  % (16980)Success in time 0.18 s
%------------------------------------------------------------------------------