TSTP Solution File: SEU264+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n024.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 18:28:06 EDT 2022

% Result   : Theorem 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   57 (  20   ~;  14   |;   9   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   67 (  59   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(unit_resulting_resolution,[],[f50,f62,f63,f55]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X2)
      | subset(X1,X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X2)
      | ~ subset(X1,X0)
      | subset(X1,X2) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( subset(X1,X2)
      | ~ subset(X0,X2)
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( subset(X0,X2)
        & subset(X1,X0) )
     => subset(X1,X2) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X1,X0,X2] :
      ( ( subset(X1,X2)
        & subset(X0,X1) )
     => subset(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f63,plain,
    ~ subset(relation_rng(sK3),sK2),
    inference(unit_resulting_resolution,[],[f48,f49,f41]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subset(relation_rng(X0),X1)
      | ~ relation_of2_as_subset(X0,X2,X3)
      | relation_of2_as_subset(X0,X2,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X2,X3,X1] :
      ( relation_of2_as_subset(X0,X2,X1)
      | ~ subset(relation_rng(X0),X1)
      | ~ relation_of2_as_subset(X0,X2,X3) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X2,X1,X3,X0] :
      ( relation_of2_as_subset(X0,X2,X1)
      | ~ subset(relation_rng(X0),X1)
      | ~ relation_of2_as_subset(X0,X2,X3) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X2,X1,X3,X0] :
      ( relation_of2_as_subset(X0,X2,X3)
     => ( subset(relation_rng(X0),X1)
       => relation_of2_as_subset(X0,X2,X1) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3,X1,X2,X0] :
      ( relation_of2_as_subset(X3,X2,X0)
     => ( subset(relation_rng(X3),X1)
       => relation_of2_as_subset(X3,X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).

fof(f49,plain,
    relation_of2_as_subset(sK3,sK5,sK4),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ? [X2,X3,X0,X1] :
      ( subset(X0,X2)
      & relation_of2_as_subset(X3,X1,X0)
      & ~ relation_of2_as_subset(X3,X1,X2) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ? [X2,X0,X1,X3] :
      ( ~ relation_of2_as_subset(X3,X1,X2)
      & subset(X0,X2)
      & relation_of2_as_subset(X3,X1,X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X2,X0,X1,X3] :
        ( relation_of2_as_subset(X3,X1,X0)
       => ( subset(X0,X2)
         => relation_of2_as_subset(X3,X1,X2) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X0,X2,X1,X3] :
        ( relation_of2_as_subset(X3,X2,X0)
       => ( subset(X0,X1)
         => relation_of2_as_subset(X3,X2,X1) ) ),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X0,X2,X1,X3] :
      ( relation_of2_as_subset(X3,X2,X0)
     => ( subset(X0,X1)
       => relation_of2_as_subset(X3,X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).

fof(f48,plain,
    ~ relation_of2_as_subset(sK3,sK5,sK2),
    inference(cnf_transformation,[],[f35]) ).

fof(f62,plain,
    subset(relation_rng(sK3),sK4),
    inference(unit_resulting_resolution,[],[f49,f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X1,X0,X2)
      | subset(relation_rng(X1),X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( subset(relation_rng(X1),X2)
        & subset(relation_dom(X1),X0) )
      | ~ relation_of2_as_subset(X1,X0,X2) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X2,X1,X0] :
      ( relation_of2_as_subset(X1,X0,X2)
     => ( subset(relation_rng(X1),X2)
        & subset(relation_dom(X1),X0) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X2,X1] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( subset(relation_rng(X2),X1)
        & subset(relation_dom(X2),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).

fof(f50,plain,
    subset(sK4,sK2),
    inference(cnf_transformation,[],[f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 15:03:04 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (8590)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55  % (8588)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55  % (8588)Refutation not found, incomplete strategy% (8588)------------------------------
% 0.20/0.55  % (8588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (8588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (8588)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (8588)Memory used [KB]: 5884
% 0.20/0.55  % (8588)Time elapsed: 0.116 s
% 0.20/0.55  % (8588)Instructions burned: 2 (million)
% 0.20/0.55  % (8588)------------------------------
% 0.20/0.55  % (8588)------------------------------
% 0.20/0.55  % (8590)First to succeed.
% 0.20/0.56  % (8590)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Theorem for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (8590)------------------------------
% 0.20/0.56  % (8590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (8590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (8590)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (8590)Memory used [KB]: 5884
% 0.20/0.56  % (8590)Time elapsed: 0.118 s
% 0.20/0.56  % (8590)Instructions burned: 2 (million)
% 0.20/0.56  % (8590)------------------------------
% 0.20/0.56  % (8590)------------------------------
% 0.20/0.56  % (8581)Success in time 0.195 s
%------------------------------------------------------------------------------