%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET843-1 : 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 : n026.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 18:22:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   36 (   4 unt;   0 def)
%            Number of atoms       :   88 (  17 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  100 (  48   ~;  50   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1430,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1376,f1377,f1406,f1429]) ).

fof(f1429,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1428]) ).

fof(f1428,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1427,f1365]) ).

fof(f1365,axiom,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1427,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ spl0_1
    | spl0_2 ),
    inference(resolution,[],[f1426,f1360]) ).

fof(f1360,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X15,c_Union(X13,X2),tc_set(X2))
      | ~ c_in(X15,X13,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).

fof(f1426,plain,
    ( ~ c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1424,f1374]) ).

fof(f1374,plain,
    ( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1373,plain,
    ( spl0_2
  <=> v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1424,plain,
    ( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | ~ c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
    | ~ spl0_1 ),
    inference(resolution,[],[f1419,f309]) ).

fof(f309,axiom,
    ! [X2,X15,X13] :
      ( ~ c_lessequals(X15,X13,tc_set(X2))
      | X13 = X15
      | ~ c_lessequals(X13,X15,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f1419,plain,
    ( c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
    | ~ spl0_1 ),
    inference(resolution,[],[f1413,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f1413,plain,
    ( ! [X1] :
        ( ~ c_lessequals(X1,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
        | c_lessequals(c_Union(X1,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f1411,f1363]) ).

fof(f1363,axiom,
    ! [X2,X40,X54] :
      ( c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

fof(f1411,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | c_lessequals(X0,v_m,tc_set(tc_set(t_a))) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1410,f1365]) ).

fof(f1410,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f1408]) ).

fof(f1408,plain,
    ( ! [X0] :
        ( v_m != v_m
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
        | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_1 ),
    inference(superposition,[],[f1364,f1371]) ).

fof(f1371,plain,
    ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1369,plain,
    ( spl0_1
  <=> v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1364,axiom,
    ! [X40,X2,X18,X12] :
      ( c_Zorn_Osucc(X40,X12,X2) != X12
      | c_lessequals(X18,X12,tc_set(tc_set(X2)))
      | ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).

fof(f1406,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1404,f1370]) ).

fof(f1370,plain,
    ( v_m != c_Zorn_Osucc(v_S,v_m,t_a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1404,plain,
    ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1403,f1365]) ).

fof(f1403,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ spl0_2 ),
    inference(resolution,[],[f1386,f1361]) ).

fof(f1361,axiom,
    ! [X40,X2,X0] : c_lessequals(X0,c_Zorn_Osucc(X40,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

fof(f1386,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,X0,t_a),tc_set(tc_set(t_a)))
        | v_m = c_Zorn_Osucc(v_S,X0,t_a)
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f1381,f309]) ).

fof(f1381,plain,
    ( ! [X0] :
        ( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f1380,f1362]) ).

fof(f1362,axiom,
    ! [X40,X2,X0] :
      ( c_in(c_Zorn_Osucc(X40,X0,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).

fof(f1380,plain,
    ( ! [X3] :
        ( ~ c_in(X3,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | c_lessequals(X3,v_m,tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(superposition,[],[f1360,f1375]) ).

fof(f1375,plain,
    ( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1377,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1366,f1373,f1369]) ).

fof(f1366,axiom,
    ( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | v_m != c_Zorn_Osucc(v_S,v_m,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1376,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1367,f1373,f1369]) ).

fof(f1367,axiom,
    ( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET843-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 14:37:36 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (28667)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52  % (28686)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.52  % (28686)Refutation not found, incomplete strategy% (28686)------------------------------
% 0.19/0.52  % (28686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28686)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (28686)Memory used [KB]: 6908
% 0.19/0.52  % (28686)Time elapsed: 0.113 s
% 0.19/0.53  % (28680)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53  % (28676)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.53  % (28670)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)
% 0.19/0.53  % (28669)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (28671)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (28674)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (28690)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.54  % (28680)Instruction limit reached!
% 0.19/0.54  % (28680)------------------------------
% 0.19/0.54  % (28680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (28680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (28680)Termination reason: Unknown
% 0.19/0.54  % (28680)Termination phase: Finite model building preprocessing
% 0.19/0.54  
% 0.19/0.54  % (28680)Memory used [KB]: 2558
% 0.19/0.54  % (28680)Time elapsed: 0.010 s
% 0.19/0.54  % (28680)Instructions burned: 7 (million)
% 0.19/0.54  % (28680)------------------------------
% 0.19/0.54  % (28680)------------------------------
% 0.19/0.55  % (28679)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)
% 0.19/0.55  % (28665)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.55  % (28687)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)
% 0.19/0.55  % (28693)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.55  % (28684)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (28671)First to succeed.
% 0.19/0.55  % (28691)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.55  % (28666)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.56  % (28686)Instructions burned: 5 (million)
% 0.19/0.56  % (28686)------------------------------
% 0.19/0.56  % (28686)------------------------------
% 0.19/0.56  % (28671)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (28671)------------------------------
% 0.19/0.56  % (28671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (28671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (28671)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (28671)Memory used [KB]: 6908
% 0.19/0.56  % (28671)Time elapsed: 0.093 s
% 0.19/0.56  % (28671)Instructions burned: 8 (million)
% 0.19/0.56  % (28671)------------------------------
% 0.19/0.56  % (28671)------------------------------
% 0.19/0.56  % (28651)Success in time 0.212 s
%------------------------------------------------------------------------------