TSTP Solution File: SET592+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET592+3 : 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 : n027.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 18:21:31 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   72 (  24 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   68 (  22   ~;  13   |;  26   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   43 (  31   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f112,plain,
    $false,
    inference(subsumption_resolution,[],[f109,f40]) ).

fof(f40,plain,
    empty_set != sK1,
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( subset(sK1,sK2)
    & empty_set = intersection(sK0,sK2)
    & empty_set != sK1
    & subset(sK1,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f23]) ).

fof(f23,plain,
    ( ? [X0,X1,X2] :
        ( subset(X1,X2)
        & empty_set = intersection(X0,X2)
        & empty_set != X1
        & subset(X1,X0) )
   => ( subset(sK1,sK2)
      & empty_set = intersection(sK0,sK2)
      & empty_set != sK1
      & subset(sK1,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( subset(X1,X2)
      & empty_set = intersection(X0,X2)
      & empty_set != X1
      & subset(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ? [X2,X1,X0] :
      ( subset(X1,X0)
      & empty_set = intersection(X2,X0)
      & empty_set != X1
      & subset(X1,X2) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ? [X0,X2,X1] :
      ( empty_set != X1
      & empty_set = intersection(X2,X0)
      & subset(X1,X2)
      & subset(X1,X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ~ ! [X0,X2,X1] :
        ( ( empty_set = intersection(X2,X0)
          & subset(X1,X2)
          & subset(X1,X0) )
       => empty_set = X1 ),
    inference(rectify,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X2,X0,X1] :
        ( ( subset(X0,X2)
          & empty_set = intersection(X1,X2)
          & subset(X0,X1) )
       => empty_set = X0 ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X2,X0,X1] :
      ( ( subset(X0,X2)
        & empty_set = intersection(X1,X2)
        & subset(X0,X1) )
     => empty_set = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th51) ).

fof(f109,plain,
    empty_set = sK1,
    inference(resolution,[],[f106,f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ~ subset(X0,empty_set)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ subset(X0,empty_set)
      | empty_set = X0 ),
    inference(ennf_transformation,[],[f1]) ).

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

fof(f106,plain,
    subset(sK1,empty_set),
    inference(subsumption_resolution,[],[f96,f39]) ).

fof(f39,plain,
    subset(sK1,sK0),
    inference(cnf_transformation,[],[f24]) ).

fof(f96,plain,
    ( subset(sK1,empty_set)
    | ~ subset(sK1,sK0) ),
    inference(resolution,[],[f87,f42]) ).

fof(f42,plain,
    subset(sK1,sK2),
    inference(cnf_transformation,[],[f24]) ).

fof(f87,plain,
    ! [X2] :
      ( ~ subset(X2,sK2)
      | ~ subset(X2,sK0)
      | subset(X2,empty_set) ),
    inference(superposition,[],[f46,f41]) ).

fof(f41,plain,
    empty_set = intersection(sK0,sK2),
    inference(cnf_transformation,[],[f24]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( subset(X0,intersection(X1,X2))
      | ~ subset(X0,X2)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( subset(X0,intersection(X1,X2))
      | ~ subset(X0,X2)
      | ~ subset(X0,X1) ),
    inference(rectify,[],[f17]) ).

fof(f17,plain,
    ! [X1,X2,X0] :
      ( subset(X1,intersection(X2,X0))
      | ~ subset(X1,X0)
      | ~ subset(X1,X2) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X1,X2,X0] :
      ( subset(X1,intersection(X2,X0))
      | ~ subset(X1,X2)
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X1,X2,X0] :
      ( ( subset(X1,X2)
        & subset(X1,X0) )
     => subset(X1,intersection(X2,X0)) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ( subset(X0,X2)
        & subset(X0,X1) )
     => subset(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_subsets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SET592+3 : 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 : n027.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 14:18:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (14403)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (14396)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)
% 0.19/0.52  % (14390)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (14395)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)
% 0.19/0.52  % (14390)First to succeed.
% 0.19/0.52  % (14405)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (14403)Instruction limit reached!
% 0.19/0.52  % (14403)------------------------------
% 0.19/0.52  % (14403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (14403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (14403)Termination reason: Unknown
% 0.19/0.52  % (14403)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (14403)Memory used [KB]: 6012
% 0.19/0.52  % (14403)Time elapsed: 0.075 s
% 0.19/0.52  % (14403)Instructions burned: 4 (million)
% 0.19/0.52  % (14403)------------------------------
% 0.19/0.52  % (14403)------------------------------
% 0.19/0.52  % (14398)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52  % (14390)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (14390)------------------------------
% 0.19/0.53  % (14390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (14390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (14390)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (14390)Memory used [KB]: 6012
% 0.19/0.53  % (14390)Time elapsed: 0.113 s
% 0.19/0.53  % (14390)Instructions burned: 3 (million)
% 0.19/0.53  % (14390)------------------------------
% 0.19/0.53  % (14390)------------------------------
% 0.19/0.53  % (14388)Success in time 0.175 s
%------------------------------------------------------------------------------