TSTP Solution File: SET027+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n023.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 18:18:33 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   29 (  11   ~;   5   |;   7   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (  22   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(unit_resulting_resolution,[],[f23,f29,f41,f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).

fof(f41,plain,
    ~ member(sK0(sK1,sK2),sK3),
    inference(unit_resulting_resolution,[],[f24,f27,f21]) ).

fof(f27,plain,
    ~ member(sK0(sK1,sK2),sK2),
    inference(unit_resulting_resolution,[],[f22,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ member(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f22,plain,
    ~ subset(sK1,sK2),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ? [X0,X2,X1] :
      ( subset(X1,X2)
      & subset(X0,X1)
      & ~ subset(X0,X2) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ? [X2,X1,X0] :
      ( ~ subset(X0,X2)
      & subset(X1,X2)
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X2,X1,X0] :
        ( ( subset(X1,X2)
          & subset(X0,X1) )
       => subset(X0,X2) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X5] :
        ( ( subset(X1,X5)
          & subset(X0,X1) )
       => subset(X0,X5) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X1,X5] :
      ( ( subset(X1,X5)
        & subset(X0,X1) )
     => subset(X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI03) ).

fof(f24,plain,
    subset(sK3,sK2),
    inference(cnf_transformation,[],[f17]) ).

fof(f29,plain,
    member(sK0(sK1,sK2),sK1),
    inference(unit_resulting_resolution,[],[f22,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( member(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f23,plain,
    subset(sK1,sK3),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 13:18:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (18808)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (18816)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.49  % (18816)Refutation not found, incomplete strategy% (18816)------------------------------
% 0.20/0.49  % (18816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (18816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (18816)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (18816)Memory used [KB]: 1407
% 0.20/0.49  % (18816)Time elapsed: 0.076 s
% 0.20/0.49  % (18816)Instructions burned: 2 (million)
% 0.20/0.49  % (18816)------------------------------
% 0.20/0.49  % (18816)------------------------------
% 0.20/0.49  % (18808)Instruction limit reached!
% 0.20/0.49  % (18808)------------------------------
% 0.20/0.49  % (18808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (18808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (18808)Termination reason: Unknown
% 0.20/0.49  % (18808)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (18808)Memory used [KB]: 6012
% 0.20/0.49  % (18808)Time elapsed: 0.090 s
% 0.20/0.49  % (18808)Instructions burned: 7 (million)
% 0.20/0.49  % (18808)------------------------------
% 0.20/0.49  % (18808)------------------------------
% 0.20/0.51  % (18801)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)
% 0.20/0.51  % (18801)First to succeed.
% 0.20/0.52  % (18800)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (18800)Also succeeded, but the first one will report.
% 0.20/0.52  % (18801)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (18801)------------------------------
% 0.20/0.52  % (18801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18801)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (18801)Memory used [KB]: 5884
% 0.20/0.52  % (18801)Time elapsed: 0.117 s
% 0.20/0.52  % (18801)Instructions burned: 1 (million)
% 0.20/0.52  % (18801)------------------------------
% 0.20/0.52  % (18801)------------------------------
% 0.20/0.52  % (18792)Success in time 0.167 s
%------------------------------------------------------------------------------