TSTP Solution File: SEU083+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU083+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 : n028.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 18:26:37 EDT 2022

% Result   : Theorem 1.29s 0.53s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   44 (  18   ~;   9   |;  13   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  14   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f343,plain,
    $false,
    inference(subsumption_resolution,[],[f342,f223]) ).

fof(f223,plain,
    finite(sK6),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( finite(sK6)
    & ~ finite(set_union2(sK6,sK7))
    & finite(sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f117,f145]) ).

fof(f145,plain,
    ( ? [X0,X1] :
        ( finite(X0)
        & ~ finite(set_union2(X0,X1))
        & finite(X1) )
   => ( finite(sK6)
      & ~ finite(set_union2(sK6,sK7))
      & finite(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ? [X0,X1] :
      ( finite(X0)
      & ~ finite(set_union2(X0,X1))
      & finite(X1) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ? [X1,X0] :
      ( ~ finite(set_union2(X0,X1))
      & finite(X1)
      & finite(X0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( finite(X1)
          & finite(X0) )
       => finite(set_union2(X0,X1)) ),
    inference(negated_conjecture,[],[f61]) ).

fof(f61,conjecture,
    ! [X1,X0] :
      ( ( finite(X1)
        & finite(X0) )
     => finite(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_finset_1) ).

fof(f342,plain,
    ~ finite(sK6),
    inference(subsumption_resolution,[],[f339,f221]) ).

fof(f221,plain,
    finite(sK7),
    inference(cnf_transformation,[],[f146]) ).

fof(f339,plain,
    ( ~ finite(sK7)
    | ~ finite(sK6) ),
    inference(resolution,[],[f222,f208]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ finite(X1)
      | finite(set_union2(X1,X0))
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( finite(set_union2(X1,X0))
      | ~ finite(X0)
      | ~ finite(X1) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ! [X1,X0] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X1)
      | ~ finite(X0) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X1,X0] :
      ( finite(set_union2(X0,X1))
      | ~ finite(X0)
      | ~ finite(X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X1,X0] :
      ( ( finite(X0)
        & finite(X1) )
     => finite(set_union2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finset_1) ).

fof(f222,plain,
    ~ finite(set_union2(sK6,sK7)),
    inference(cnf_transformation,[],[f146]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU083+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % 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 : n028.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 14:45:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (12235)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51  % (12235)First to succeed.
% 1.29/0.53  % (12227)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.53  % (12225)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.29/0.53  % (12231)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)
% 1.29/0.53  % (12235)Refutation found. Thanks to Tanya!
% 1.29/0.53  % SZS status Theorem for theBenchmark
% 1.29/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.53  % (12235)------------------------------
% 1.29/0.53  % (12235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53  % (12235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53  % (12235)Termination reason: Refutation
% 1.29/0.53  
% 1.29/0.53  % (12235)Memory used [KB]: 6012
% 1.29/0.53  % (12235)Time elapsed: 0.101 s
% 1.29/0.53  % (12235)Instructions burned: 4 (million)
% 1.29/0.53  % (12235)------------------------------
% 1.29/0.53  % (12235)------------------------------
% 1.29/0.53  % (12224)Success in time 0.178 s
%------------------------------------------------------------------------------