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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --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 16:09:25 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  14   ~;  14   |;   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   :   36 (  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,plain,
    $false,
    inference(resolution,[],[f74,f61]) ).

fof(f61,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK0)),
    inference(resolution,[],[f54,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
     => unequally_directed_opposite_lines(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

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

fof(f54,plain,
    ~ unequally_directed_opposite_lines(sK0,sK0),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ~ unequally_directed_opposite_lines(sK0,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f46,f50]) ).

fof(f50,plain,
    ( ? [X0] : ~ unequally_directed_opposite_lines(X0,X0)
   => ~ unequally_directed_opposite_lines(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ? [X0] : ~ unequally_directed_opposite_lines(X0,X0),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,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(f74,plain,
    ! [X4] : unequally_directed_lines(X4,reverse_line(sK0)),
    inference(subsumption_resolution,[],[f67,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X1,reverse_line(X0))
      | unequally_directed_lines(X1,X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X1,X0)
      | unequally_directed_lines(X1,reverse_line(X0)) ),
    inference(rectify,[],[f18]) ).

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

fof(f67,plain,
    ! [X4] :
      ( ~ unequally_directed_lines(X4,sK0)
      | unequally_directed_lines(X4,reverse_line(sK0)) ),
    inference(resolution,[],[f61,f55]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X1,X0)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | ~ unequally_directed_lines(X1,X0)
      | unequally_directed_lines(X0,X2) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0,X2,X1] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X1,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X2,X1] :
      ( unequally_directed_lines(X1,X0)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f16]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO232+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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   : Mon Aug 29 21:54:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (26234)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (26234)Refutation not found, incomplete strategy% (26234)------------------------------
% 0.19/0.50  % (26234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (26234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (26234)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (26234)Memory used [KB]: 6012
% 0.19/0.50  % (26234)Time elapsed: 0.099 s
% 0.19/0.50  % (26234)Instructions burned: 2 (million)
% 0.19/0.50  % (26234)------------------------------
% 0.19/0.50  % (26234)------------------------------
% 0.19/0.50  % (26235)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (26238)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)
% 0.19/0.50  % (26243)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (26239)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)
% 0.19/0.51  % (26243)First to succeed.
% 0.19/0.51  % (26237)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (26237)Also succeeded, but the first one will report.
% 0.19/0.51  % (26243)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (26243)------------------------------
% 0.19/0.51  % (26243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (26243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (26243)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (26243)Memory used [KB]: 5884
% 0.19/0.51  % (26243)Time elapsed: 0.113 s
% 0.19/0.51  % (26243)Instructions burned: 1 (million)
% 0.19/0.51  % (26243)------------------------------
% 0.19/0.51  % (26243)------------------------------
% 0.19/0.51  % (26228)Success in time 0.159 s
%------------------------------------------------------------------------------