TSTP Solution File: SET904+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET904+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 : n006.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 18:26:03 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   34 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  11   ~;   4   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  24   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f59,plain,
    $false,
    inference(subsumption_resolution,[],[f55,f39]) ).

fof(f39,plain,
    ~ in(sK2,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( subset(set_union2(singleton(sK2),sK1),sK1)
    & ~ in(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f20,f27]) ).

fof(f27,plain,
    ( ? [X0,X1] :
        ( subset(set_union2(singleton(X1),X0),X0)
        & ~ in(X1,X0) )
   => ( subset(set_union2(singleton(sK2),sK1),sK1)
      & ~ in(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0,X1] :
      ( subset(set_union2(singleton(X1),X0),X0)
      & ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ~ ! [X1,X0] :
        ( subset(set_union2(singleton(X1),X0),X0)
       => in(X1,X0) ),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X1,X0] :
        ( subset(set_union2(singleton(X0),X1),X1)
       => in(X0,X1) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X1,X0] :
      ( subset(set_union2(singleton(X0),X1),X1)
     => in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_zfmisc_1) ).

fof(f55,plain,
    in(sK2,sK1),
    inference(resolution,[],[f51,f45]) ).

fof(f45,plain,
    subset(set_union2(sK1,singleton(sK2)),sK1),
    inference(backward_demodulation,[],[f40,f41]) ).

fof(f41,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f40,plain,
    subset(set_union2(singleton(sK2),sK1),sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f51,plain,
    ! [X2,X1] :
      ( ~ subset(set_union2(X2,singleton(X1)),X2)
      | in(X1,X2) ),
    inference(superposition,[],[f38,f41]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(singleton(X0),X1),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ subset(set_union2(singleton(X0),X1),X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ! [X1,X0] :
      ( in(X1,X0)
      | ~ subset(set_union2(singleton(X1),X0),X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( subset(set_union2(singleton(X1),X0),X0)
     => in(X1,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0] :
      ( subset(set_union2(singleton(X0),X1),X1)
     => in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l21_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET904+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
% 0.13/0.34  % Computer : n006.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 14:27:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.52  % (32047)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (32063)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)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (32055)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  TRYING [2]
% 0.20/0.53  TRYING [3]
% 0.20/0.53  TRYING [4]
% 0.20/0.54  TRYING [5]
% 0.20/0.54  TRYING [6]
% 0.20/0.54  % (32063)First to succeed.
% 0.20/0.55  % (32063)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (32063)------------------------------
% 0.20/0.55  % (32063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (32063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (32063)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (32063)Memory used [KB]: 895
% 0.20/0.55  % (32063)Time elapsed: 0.139 s
% 0.20/0.55  % (32063)Instructions burned: 3 (million)
% 0.20/0.55  % (32063)------------------------------
% 0.20/0.55  % (32063)------------------------------
% 0.20/0.55  % (32040)Success in time 0.197 s
%------------------------------------------------------------------------------