TSTP Solution File: GEO232+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO232+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n021.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 16:12:24 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  13   ~;  18   |;   0   &)
%                                         (   1 <=>;   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    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   44 (  42   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,plain,
    $false,
    inference(resolution,[],[f179,f143]) ).

fof(f143,plain,
    ~ unequally_directed_opposite_lines(sK0,sK0),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ~ unequally_directed_opposite_lines(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f78,f116]) ).

fof(f116,plain,
    ( ? [X0] : ~ unequally_directed_opposite_lines(X0,X0)
   => ~ unequally_directed_opposite_lines(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ? [X0] : ~ unequally_directed_opposite_lines(X0,X0),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ~ ! [X0] : unequally_directed_opposite_lines(X0,X0),
    inference(rectify,[],[f38]) ).

fof(f38,negated_conjecture,
    ~ ! [X3] : unequally_directed_opposite_lines(X3,X3),
    inference(negated_conjecture,[],[f37]) ).

fof(f37,conjecture,
    ! [X3] : unequally_directed_opposite_lines(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f179,plain,
    ! [X2] : unequally_directed_opposite_lines(sK0,X2),
    inference(resolution,[],[f176,f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X1,X0] :
      ( unequally_directed_lines(X0,reverse_line(X1))
     => unequally_directed_opposite_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( unequally_directed_lines(X0,reverse_line(X1))
    <=> unequally_directed_opposite_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_defns) ).

fof(f176,plain,
    ! [X3] : unequally_directed_lines(sK0,X3),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X3] :
      ( unequally_directed_lines(sK0,X3)
      | unequally_directed_lines(sK0,X3) ),
    inference(resolution,[],[f165,f173]) ).

fof(f173,plain,
    unequally_directed_lines(sK0,sK0),
    inference(resolution,[],[f172,f143]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
      | unequally_directed_lines(X0,X1) ),
    inference(resolution,[],[f162,f132]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X1,reverse_line(X0))
      | unequally_directed_lines(X1,X0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X1,reverse_line(X0))
      | unequally_directed_lines(X1,X0) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X4] :
      ( unequally_directed_lines(X3,reverse_line(X4))
      | unequally_directed_lines(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X1,X0)
      | unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X1,X0)
      | unequally_directed_lines(X1,X2) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ! [X1,X0,X2] :
      ( unequally_directed_lines(X1,X2)
      | ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X2) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3,X4,X7] :
      ( unequally_directed_lines(X3,X4)
     => ( unequally_directed_lines(X4,X7)
        | unequally_directed_lines(X3,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6_basics) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO232+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 21:28:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (31980)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (31977)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (31982)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (31990)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51  % (31985)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51  % (31990)First to succeed.
% 0.19/0.51  % (31973)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (31973)Also succeeded, but the first one will report.
% 0.19/0.52  % (31970)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (31990)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
% 0.19/0.52  % (31990)------------------------------
% 0.19/0.52  % (31990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (31990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (31990)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (31990)Memory used [KB]: 5500
% 0.19/0.52  % (31990)Time elapsed: 0.118 s
% 0.19/0.52  % (31990)Instructions burned: 3 (million)
% 0.19/0.52  % (31990)------------------------------
% 0.19/0.52  % (31990)------------------------------
% 0.19/0.52  % (31969)Success in time 0.175 s
%------------------------------------------------------------------------------