%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET095-7 : 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_sat --cores 0 -t %d %s

% Computer : n014.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 18:23:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   27 (  13   ~;  12   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f406,plain,
    $false,
    inference(avatar_sat_refutation,[],[f401,f403,f405]) ).

fof(f405,plain,
    ~ spl1_8,
    inference(avatar_contradiction_clause,[],[f404]) ).

fof(f404,plain,
    ( $false
    | ~ spl1_8 ),
    inference(resolution,[],[f396,f222]) ).

fof(f222,plain,
    ~ subclass(sF0,y),
    inference(definition_folding,[],[f178,f221]) ).

fof(f221,plain,
    unordered_pair(x,x) = sF0,
    introduced(function_definition,[]) ).

fof(f178,plain,
    ~ subclass(unordered_pair(x,x),y),
    inference(definition_unfolding,[],[f140,f12]) ).

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

fof(f140,axiom,
    ~ subclass(singleton(x),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_2) ).

fof(f396,plain,
    ( subclass(sF0,y)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl1_8
  <=> subclass(sF0,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f403,plain,
    spl1_9,
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | spl1_9 ),
    inference(resolution,[],[f400,f139]) ).

fof(f139,axiom,
    member(x,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_1) ).

fof(f400,plain,
    ( ~ member(x,y)
    | spl1_9 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl1_9
  <=> member(x,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f401,plain,
    ( spl1_8
    | ~ spl1_9 ),
    inference(avatar_split_clause,[],[f391,f398,f394]) ).

fof(f391,plain,
    ( ~ member(x,y)
    | subclass(sF0,y) ),
    inference(superposition,[],[f3,f389]) ).

fof(f389,plain,
    x = not_subclass_element(sF0,y),
    inference(resolution,[],[f360,f222]) ).

fof(f360,plain,
    ! [X0] :
      ( subclass(sF0,X0)
      | x = not_subclass_element(sF0,X0) ),
    inference(resolution,[],[f359,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f359,plain,
    ! [X0] :
      ( ~ member(X0,sF0)
      | x = X0 ),
    inference(superposition,[],[f215,f221]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X0))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f125,f12]) ).

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

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET095-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n014.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 13:16:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (31663)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (31684)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (31681)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51  % (31662)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (31672)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (31675)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51  % (31671)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (31667)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (31660)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (31664)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (31682)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (31659)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (31662)First to succeed.
% 0.20/0.53  % (31662)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (31662)------------------------------
% 0.20/0.53  % (31662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31662)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (31662)Memory used [KB]: 5884
% 0.20/0.53  % (31662)Time elapsed: 0.110 s
% 0.20/0.53  % (31662)Instructions burned: 17 (million)
% 0.20/0.53  % (31662)------------------------------
% 0.20/0.53  % (31662)------------------------------
% 0.20/0.53  % (31654)Success in time 0.178 s
%------------------------------------------------------------------------------