%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET864-1 : 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 : n008.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 18:22:37 EDT 2022

% Result   : Unsatisfiable 1.73s 0.63s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :   53 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   56 (  29   ~;  25   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1436,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1407,f1423,f1435]) ).

fof(f1435,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | spl0_5 ),
    inference(subsumption_resolution,[],[f1433,f1363]) ).

fof(f1363,axiom,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1433,plain,
    ( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | spl0_5 ),
    inference(resolution,[],[f1406,f1364]) ).

fof(f1364,axiom,
    ! [X41] :
      ( c_in(v_x(X41),v_S,tc_set(t_a))
      | ~ c_in(X41,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1406,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f1404]) ).

fof(f1404,plain,
    ( spl0_5
  <=> c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1423,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f1422]) ).

fof(f1422,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1421,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f1421,plain,
    ( ~ c_lessequals(c_Union(v_c,t_a),c_Union(v_c,t_a),tc_set(t_a))
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1414,f1363]) ).

fof(f1414,plain,
    ( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
    | ~ c_lessequals(c_Union(v_c,t_a),c_Union(v_c,t_a),tc_set(t_a))
    | ~ spl0_4 ),
    inference(superposition,[],[f1375,f1402]) ).

fof(f1402,plain,
    ( c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f1400]) ).

fof(f1400,plain,
    ( spl0_4
  <=> c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1375,plain,
    ! [X0] :
      ( ~ c_lessequals(v_x(X0),X0,tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(subsumption_resolution,[],[f1372,f1366]) ).

fof(f1366,axiom,
    ! [X41] :
      ( v_x(X41) != X41
      | ~ c_in(X41,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1372,plain,
    ! [X0] :
      ( v_x(X0) = X0
      | ~ c_in(X0,v_S,tc_set(t_a))
      | ~ c_lessequals(v_x(X0),X0,tc_set(t_a)) ),
    inference(resolution,[],[f309,f1365]) ).

fof(f1365,axiom,
    ! [X41] :
      ( c_lessequals(X41,v_x(X41),tc_set(t_a))
      | ~ c_in(X41,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f309,axiom,
    ! [X2,X15,X13] :
      ( ~ c_lessequals(X15,X13,tc_set(X2))
      | ~ c_lessequals(X13,X15,tc_set(X2))
      | X13 = X15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f1407,plain,
    ( spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1398,f1404,f1400]) ).

fof(f1398,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
    inference(subsumption_resolution,[],[f1396,f1363]) ).

fof(f1396,plain,
    ( c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
    | ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
    inference(resolution,[],[f1395,f1365]) ).

fof(f1395,plain,
    ! [X10] :
      ( ~ c_lessequals(c_Union(v_c,t_a),X10,tc_set(t_a))
      | c_Union(v_c,t_a) = X10
      | ~ c_in(X10,v_S,tc_set(t_a)) ),
    inference(resolution,[],[f1359,f1361]) ).

fof(f1361,axiom,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1359,axiom,
    ! [X40,X2,X38,X34] :
      ( ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | c_Union(X34,X2) = X38
      | ~ c_in(X38,X40,tc_set(X2))
      | ~ c_lessequals(c_Union(X34,X2),X38,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET864-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:30:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.60  % (7798)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.60  % (7800)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.60  % (7816)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.61  % (7800)Instruction limit reached!
% 0.20/0.61  % (7800)------------------------------
% 0.20/0.61  % (7800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (7808)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.61  % (7808)Instruction limit reached!
% 0.20/0.61  % (7808)------------------------------
% 0.20/0.61  % (7808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (7800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (7800)Termination reason: Unknown
% 0.20/0.61  % (7800)Termination phase: Equality proxy
% 0.20/0.61  
% 0.20/0.61  % (7800)Memory used [KB]: 2430
% 0.20/0.61  % (7800)Time elapsed: 0.006 s
% 0.20/0.61  % (7800)Instructions burned: 3 (million)
% 0.20/0.61  % (7800)------------------------------
% 0.20/0.61  % (7800)------------------------------
% 0.20/0.61  % (7808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (7808)Termination reason: Unknown
% 0.20/0.61  % (7808)Termination phase: shuffling
% 0.20/0.61  
% 0.20/0.61  % (7808)Memory used [KB]: 2302
% 0.20/0.61  % (7808)Time elapsed: 0.004 s
% 0.20/0.61  % (7808)Instructions burned: 2 (million)
% 0.20/0.61  % (7808)------------------------------
% 0.20/0.61  % (7808)------------------------------
% 0.20/0.61  % (7814)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.62  % (7806)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.73/0.62  % (7816)First to succeed.
% 1.73/0.63  % (7816)Refutation found. Thanks to Tanya!
% 1.73/0.63  % SZS status Unsatisfiable for theBenchmark
% 1.73/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.63  % (7816)------------------------------
% 1.73/0.63  % (7816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.63  % (7816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.63  % (7816)Termination reason: Refutation
% 1.73/0.63  
% 1.73/0.63  % (7816)Memory used [KB]: 6908
% 1.73/0.63  % (7816)Time elapsed: 0.157 s
% 1.73/0.63  % (7816)Instructions burned: 8 (million)
% 1.73/0.63  % (7816)------------------------------
% 1.73/0.63  % (7816)------------------------------
% 1.73/0.63  % (7757)Success in time 0.276 s
%------------------------------------------------------------------------------