%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET235-6 : 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 : n023.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 18:19:53 EDT 2022

% Result   : Unsatisfiable 0.16s 0.51s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   41 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  22   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(avatar_sat_refutation,[],[f136,f139,f145]) ).

fof(f145,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f144]) ).

fof(f144,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f142,f113]) ).

fof(f113,axiom,
    subclass(x,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property10_1) ).

fof(f142,plain,
    ( ! [X0,X1] : ~ subclass(x,cross_product(X0,X1))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f140,f135]) ).

fof(f135,plain,
    ( ! [X0,X1] : ~ member(not_subclass_element(x,y),cross_product(X0,X1))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl0_4
  <=> ! [X0,X1] : ~ member(not_subclass_element(x,y),cross_product(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f140,plain,
    ( ! [X0] :
        ( member(not_subclass_element(x,y),X0)
        | ~ subclass(x,X0) )
    | ~ spl0_3 ),
    inference(resolution,[],[f131,f1]) ).

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

fof(f131,plain,
    ( member(not_subclass_element(x,y),x)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl0_3
  <=> member(not_subclass_element(x,y),x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f139,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f138]) ).

fof(f138,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f137,f115]) ).

fof(f115,axiom,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property10_3) ).

fof(f137,plain,
    ( subclass(x,y)
    | spl0_3 ),
    inference(resolution,[],[f132,f2]) ).

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

fof(f132,plain,
    ( ~ member(not_subclass_element(x,y),x)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f136,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f128,f134,f130]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(x,y),cross_product(X0,X1))
      | ~ member(not_subclass_element(x,y),x) ),
    inference(superposition,[],[f114,f17]) ).

fof(f17,axiom,
    ! [X0,X1,X4] :
      ( ordered_pair(first(X4),second(X4)) = X4
      | ~ member(X4,cross_product(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f114,axiom,
    ~ member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property10_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : SET235-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.05/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.34  % Computer : n023.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Tue Aug 30 13:51:35 EDT 2022
% 0.11/0.34  % CPUTime    : 
% 0.16/0.50  % (8137)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)
% 0.16/0.50  % (8136)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)
% 0.16/0.50  % (8138)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)
% 0.16/0.50  % (8145)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)
% 0.16/0.50  % (8146)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)
% 0.16/0.50  % (8144)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)
% 0.16/0.50  % (8138)Instruction limit reached!
% 0.16/0.50  % (8138)------------------------------
% 0.16/0.50  % (8138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (8138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (8138)Termination reason: Unknown
% 0.16/0.51  % (8138)Termination phase: Property scanning
% 0.16/0.51  % (8137)First to succeed.
% 0.16/0.51  
% 0.16/0.51  % (8138)Memory used [KB]: 1407
% 0.16/0.51  % (8138)Time elapsed: 0.005 s
% 0.16/0.51  % (8138)Instructions burned: 4 (million)
% 0.16/0.51  % (8138)------------------------------
% 0.16/0.51  % (8138)------------------------------
% 0.16/0.51  % (8137)Refutation found. Thanks to Tanya!
% 0.16/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51  % (8137)------------------------------
% 0.16/0.51  % (8137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (8137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (8137)Termination reason: Refutation
% 0.16/0.51  
% 0.16/0.51  % (8137)Memory used [KB]: 5884
% 0.16/0.51  % (8137)Time elapsed: 0.100 s
% 0.16/0.51  % (8137)Instructions burned: 3 (million)
% 0.16/0.51  % (8137)------------------------------
% 0.16/0.51  % (8137)------------------------------
% 0.16/0.51  % (8129)Success in time 0.157 s
%------------------------------------------------------------------------------