TSTP Solution File: SET061+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET061+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n013.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 18:23:25 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   9 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   14 (   9   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f288,plain,
    $false,
    inference(resolution,[],[f240,f179]) ).

fof(f179,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] : ~ member(X0,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).

fof(f240,plain,
    ! [X0] : member(sK5(X0),X0),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] : member(sK5(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f78,f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ? [X1] : member(X1,X0)
     => member(sK5(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0] :
    ? [X1] : member(X1,X0),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ~ ? [X0] :
      ! [X1] : ~ member(X1,X0),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ? [X0] :
      ! [X4] : ~ member(X4,X0),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ? [X0] :
    ! [X4] : ~ member(X4,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET061+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 13:07:17 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  % (9959)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.50  % (9959)First to succeed.
% 0.21/0.51  % (9974)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.51  % (9966)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51  % (9959)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (9959)------------------------------
% 0.21/0.51  % (9959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (9959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (9959)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (9959)Memory used [KB]: 5628
% 0.21/0.51  % (9959)Time elapsed: 0.091 s
% 0.21/0.51  % (9959)Instructions burned: 7 (million)
% 0.21/0.51  % (9959)------------------------------
% 0.21/0.51  % (9959)------------------------------
% 0.21/0.51  % (9946)Success in time 0.149 s
%------------------------------------------------------------------------------