TSTP Solution File: LAT035-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n007.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 17:35:54 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f212,plain,
    $false,
    inference(subsumption_resolution,[],[f211,f39]) ).

fof(f39,plain,
    ! [X3,X4] : f(meet(X3,X4)) = join(f(X3),f(X4)),
    inference(literal_reordering,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X4] : f(meet(X3,X4)) = join(f(X3),f(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_meet) ).

fof(f211,plain,
    join(f(k(aa)),f(k(bb))) != f(meet(k(aa),k(bb))),
    inference(forward_demodulation,[],[f210,f23]) ).

fof(f23,plain,
    ! [X3,X4] : k(join(X3,X4)) = meet(k(X3),k(X4)),
    inference(literal_reordering,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : k(join(X3,X4)) = meet(k(X3),k(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_join) ).

fof(f210,plain,
    f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))),
    inference(subsumption_resolution,[],[f34,f87]) ).

fof(f87,plain,
    n0 = f(k(n0)),
    inference(forward_demodulation,[],[f40,f37]) ).

fof(f37,plain,
    n1 = k(n0),
    inference(literal_reordering,[],[f16]) ).

fof(f16,axiom,
    n1 = k(n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_on_bottom) ).

fof(f40,plain,
    n0 = f(n1),
    inference(literal_reordering,[],[f19]) ).

fof(f19,axiom,
    n0 = f(n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_on_top) ).

fof(f34,plain,
    ( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
    | n0 != f(k(n0)) ),
    inference(literal_reordering,[],[f20]) ).

fof(f20,axiom,
    ( n0 != f(k(n0))
    | f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comp_join_hemimorphism) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : n007.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 00:29:00 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (375)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)
% 0.20/0.49  % (367)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)
% 0.20/0.49  TRYING [1]
% 0.20/0.49  TRYING [2]
% 0.20/0.50  % (375)First to succeed.
% 0.20/0.50  TRYING [3]
% 0.20/0.50  % (375)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (375)------------------------------
% 0.20/0.50  % (375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (375)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (375)Memory used [KB]: 5884
% 0.20/0.50  % (375)Time elapsed: 0.012 s
% 0.20/0.50  % (375)Instructions burned: 8 (million)
% 0.20/0.50  % (375)------------------------------
% 0.20/0.50  % (375)------------------------------
% 0.20/0.50  % (360)Success in time 0.151 s
%------------------------------------------------------------------------------