TSTP Solution File: MGT045-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT045-1 : 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 : n016.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 17:51:35 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_7,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_8,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_9,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f90,plain,
    $false,
    inference(subsumption_resolution,[],[f89,f23]) ).

fof(f23,plain,
    organization(sk1),
    inference(literal_reordering,[],[f15]) ).

fof(f15,axiom,
    organization(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_33) ).

fof(f89,plain,
    ~ organization(sk1),
    inference(subsumption_resolution,[],[f88,f36]) ).

fof(f36,plain,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    inference(literal_reordering,[],[f17]) ).

fof(f17,axiom,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_35) ).

fof(f88,plain,
    ( greater(position(sk1,sk3),position(sk1,sk2))
    | ~ organization(sk1) ),
    inference(resolution,[],[f34,f82]) ).

fof(f82,plain,
    greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(subsumption_resolution,[],[f81,f23]) ).

fof(f81,plain,
    ( ~ organization(sk1)
    | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
    inference(resolution,[],[f20,f35]) ).

fof(f35,plain,
    greater(age(sk1,sk3),age(sk1,sk2)),
    inference(literal_reordering,[],[f16]) ).

fof(f16,axiom,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_34) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ greater(age(X0,X1),age(X0,X2))
      | greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ organization(X0) ),
    inference(literal_reordering,[],[f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(age(X0,X1),age(X0,X2))
      | greater(external_ties(X0,X1),external_ties(X0,X2))
      | ~ organization(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_32) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
      | greater(position(X0,X1),position(X0,X2))
      | ~ organization(X0) ),
    inference(literal_reordering,[],[f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | greater(position(X0,X1),position(X0,X2))
      | ~ greater(external_ties(X0,X1),external_ties(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_30) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 03:41:00 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (3659)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)
% 0.18/0.47  % (3651)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.47  % (3659)First to succeed.
% 0.18/0.48  % (3659)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (3659)------------------------------
% 0.18/0.48  % (3659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (3659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (3659)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (3659)Memory used [KB]: 5756
% 0.18/0.48  % (3659)Time elapsed: 0.007 s
% 0.18/0.48  % (3659)Instructions burned: 4 (million)
% 0.18/0.48  % (3659)------------------------------
% 0.18/0.48  % (3659)------------------------------
% 0.18/0.48  % (3632)Success in time 0.138 s
%------------------------------------------------------------------------------