%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 18:19:08 EDT 2022

% Result   : Unsatisfiable 0.19s 0.61s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   36 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f392,plain,
    $false,
    inference(subsumption_resolution,[],[f389,f340]) ).

fof(f340,plain,
    member(y,x),
    inference(subsumption_resolution,[],[f339,f141]) ).

fof(f141,axiom,
    null_class != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).

fof(f339,plain,
    ( member(y,x)
    | null_class = x ),
    inference(superposition,[],[f66,f337]) ).

fof(f337,plain,
    y = regular(x),
    inference(resolution,[],[f336,f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X0))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f125,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(X1,singleton(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

fof(f336,plain,
    member(regular(x),unordered_pair(y,y)),
    inference(subsumption_resolution,[],[f333,f141]) ).

fof(f333,plain,
    ( null_class = x
    | member(regular(x),unordered_pair(y,y)) ),
    inference(resolution,[],[f332,f66]) ).

fof(f332,plain,
    ! [X31] :
      ( ~ member(X31,x)
      | member(X31,unordered_pair(y,y)) ),
    inference(resolution,[],[f1,f216]) ).

fof(f216,plain,
    subclass(x,unordered_pair(y,y)),
    inference(definition_unfolding,[],[f140,f12]) ).

fof(f140,axiom,
    subclass(x,singleton(y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f389,plain,
    ~ member(y,x),
    inference(resolution,[],[f376,f196]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( subclass(unordered_pair(X0,X0),X1)
      | ~ member(X0,X1) ),
    inference(definition_unfolding,[],[f139,f12]) ).

fof(f139,axiom,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | subclass(singleton(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons2) ).

fof(f376,plain,
    ~ subclass(unordered_pair(y,y),x),
    inference(subsumption_resolution,[],[f372,f161]) ).

fof(f161,plain,
    x != unordered_pair(y,y),
    inference(definition_unfolding,[],[f142,f12]) ).

fof(f142,axiom,
    x != singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).

fof(f372,plain,
    ( x = unordered_pair(y,y)
    | ~ subclass(unordered_pair(y,y),x) ),
    inference(resolution,[],[f7,f216]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | X0 = X1
      | ~ subclass(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.13/0.34  % Computer : n026.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 13:30:21 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.57  % (18658)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)
% 0.19/0.57  % (18667)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)
% 0.19/0.57  % (18659)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)
% 0.19/0.57  % (18666)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)
% 0.19/0.58  % (18674)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)
% 0.19/0.59  % (18667)Instruction limit reached!
% 0.19/0.59  % (18667)------------------------------
% 0.19/0.59  % (18667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (18675)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.59  % (18667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (18667)Termination reason: Unknown
% 0.19/0.59  % (18667)Termination phase: Finite model building preprocessing
% 0.19/0.59  
% 0.19/0.59  % (18667)Memory used [KB]: 1535
% 0.19/0.59  % (18667)Time elapsed: 0.006 s
% 0.19/0.59  % (18667)Instructions burned: 6 (million)
% 0.19/0.59  % (18667)------------------------------
% 0.19/0.59  % (18667)------------------------------
% 0.19/0.60  % (18658)First to succeed.
% 0.19/0.61  % (18658)Refutation found. Thanks to Tanya!
% 0.19/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.61  % (18658)------------------------------
% 0.19/0.61  % (18658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61  % (18658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61  % (18658)Termination reason: Refutation
% 0.19/0.61  
% 0.19/0.61  % (18658)Memory used [KB]: 1535
% 0.19/0.61  % (18658)Time elapsed: 0.143 s
% 0.19/0.61  % (18658)Instructions burned: 14 (million)
% 0.19/0.61  % (18658)------------------------------
% 0.19/0.61  % (18658)------------------------------
% 0.19/0.61  % (18651)Success in time 0.254 s
%------------------------------------------------------------------------------