TSTP Solution File: SEU123+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU123+2 : 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_sat --cores 0 -t %d %s

% Computer : n017.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 18:32:00 EDT 2022

% Result   : Theorem 1.65s 0.58s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   62 (  16 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   61 (  24   ~;  18   |;  12   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   38 (  36   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f340,plain,
    $false,
    inference(subsumption_resolution,[],[f339,f84]) ).

fof(f84,plain,
    empty_set != sK1,
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( empty_set != sK1
    & subset(sK1,empty_set) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f37,f49]) ).

fof(f49,plain,
    ( ? [X0] :
        ( empty_set != X0
        & subset(X0,empty_set) )
   => ( empty_set != sK1
      & subset(sK1,empty_set) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ? [X0] :
      ( empty_set != X0
      & subset(X0,empty_set) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X0] :
        ( subset(X0,empty_set)
       => empty_set = X0 ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X0] :
      ( subset(X0,empty_set)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).

fof(f339,plain,
    empty_set = sK1,
    inference(resolution,[],[f330,f316]) ).

fof(f316,plain,
    ! [X10] : subset(sK1,X10),
    inference(resolution,[],[f304,f83]) ).

fof(f83,plain,
    subset(sK1,empty_set),
    inference(cnf_transformation,[],[f50]) ).

fof(f304,plain,
    ! [X14,X13] :
      ( ~ subset(X13,empty_set)
      | subset(X13,X14) ),
    inference(resolution,[],[f110,f108]) ).

fof(f108,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X2,X0)
      | ~ subset(X1,X2)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( subset(X1,X0)
      | ~ subset(X2,X0)
      | ~ subset(X1,X2) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X1,X0,X2] :
      ( subset(X0,X1)
      | ~ subset(X2,X1)
      | ~ subset(X0,X2) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X2,X1,X0] :
      ( subset(X0,X1)
      | ~ subset(X2,X1)
      | ~ subset(X0,X2) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X2,X1,X0] :
      ( ( subset(X2,X1)
        & subset(X0,X2) )
     => subset(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X2,X1] :
      ( ( subset(X0,X1)
        & subset(X1,X2) )
     => subset(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).

fof(f330,plain,
    ! [X9] :
      ( ~ subset(X9,empty_set)
      | empty_set = X9 ),
    inference(resolution,[],[f86,f108]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
    <=> X0 = X1 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 14:04:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (18306)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.55  % (18301)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)
% 1.39/0.55  % (18309)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.56  % (18298)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.39/0.56  % (18309)First to succeed.
% 1.65/0.57  % (18296)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.65/0.57  % (18314)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.65/0.57  TRYING [1]
% 1.65/0.57  TRYING [2]
% 1.65/0.57  TRYING [3]
% 1.65/0.57  % (18323)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)
% 1.65/0.57  % (18317)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.65/0.58  % (18314)Also succeeded, but the first one will report.
% 1.65/0.58  % (18298)Also succeeded, but the first one will report.
% 1.65/0.58  % (18309)Refutation found. Thanks to Tanya!
% 1.65/0.58  % SZS status Theorem for theBenchmark
% 1.65/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.58  % (18309)------------------------------
% 1.65/0.58  % (18309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58  % (18309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58  % (18309)Termination reason: Refutation
% 1.65/0.58  
% 1.65/0.58  % (18309)Memory used [KB]: 5500
% 1.65/0.58  % (18309)Time elapsed: 0.135 s
% 1.65/0.58  % (18309)Instructions burned: 9 (million)
% 1.65/0.58  % (18309)------------------------------
% 1.65/0.58  % (18309)------------------------------
% 1.65/0.58  % (18295)Success in time 0.228 s
%------------------------------------------------------------------------------