TSTP Solution File: SEU085+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU085+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_sat --cores 0 -t %d %s

% Computer : n016.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 18:31:54 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   32 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  12   ~;   4   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  16   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f456,plain,
    $false,
    inference(subsumption_resolution,[],[f455,f315]) ).

fof(f315,plain,
    ~ finite(sF28),
    inference(definition_folding,[],[f307,f314]) ).

fof(f314,plain,
    sF28 = set_difference(sK27,sK26),
    introduced(function_definition,[]) ).

fof(f307,plain,
    ~ finite(set_difference(sK27,sK26)),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ( ~ finite(set_difference(sK27,sK26))
    & finite(sK27) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f107,f184]) ).

fof(f184,plain,
    ( ? [X0,X1] :
        ( ~ finite(set_difference(X1,X0))
        & finite(X1) )
   => ( ~ finite(set_difference(sK27,sK26))
      & finite(sK27) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ? [X0,X1] :
      ( ~ finite(set_difference(X1,X0))
      & finite(X1) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ~ ! [X1,X0] :
        ( finite(X1)
       => finite(set_difference(X1,X0)) ),
    inference(rectify,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X1,X0] :
        ( finite(X0)
       => finite(set_difference(X0,X1)) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X1,X0] :
      ( finite(X0)
     => finite(set_difference(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_finset_1) ).

fof(f455,plain,
    finite(sF28),
    inference(subsumption_resolution,[],[f454,f306]) ).

fof(f306,plain,
    finite(sK27),
    inference(cnf_transformation,[],[f185]) ).

fof(f454,plain,
    ( ~ finite(sK27)
    | finite(sF28) ),
    inference(superposition,[],[f271,f314]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( finite(set_difference(X0,X1))
      | ~ finite(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ finite(X0)
      | finite(set_difference(X0,X1)) ),
    inference(rectify,[],[f102]) ).

fof(f102,plain,
    ! [X1,X0] :
      ( ~ finite(X1)
      | finite(set_difference(X1,X0)) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( finite(X1)
     => finite(set_difference(X1,X0)) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X0] :
      ( finite(X0)
     => finite(set_difference(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU085+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 14:59:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (1955)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (1947)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (1955)First to succeed.
% 0.19/0.52  % (1942)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)
% 0.19/0.52  % (1935)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (1940)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (1932)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)
% 0.19/0.53  % (1936)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)
% 0.19/0.53  % (1938)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (1947)Also succeeded, but the first one will report.
% 0.19/0.53  % (1953)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53  % (1955)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (1955)------------------------------
% 0.19/0.53  % (1955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1955)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (1955)Memory used [KB]: 5628
% 0.19/0.53  % (1955)Time elapsed: 0.121 s
% 0.19/0.53  % (1955)Instructions burned: 7 (million)
% 0.19/0.53  % (1955)------------------------------
% 0.19/0.53  % (1955)------------------------------
% 0.19/0.53  % (1930)Success in time 0.188 s
%------------------------------------------------------------------------------