TSTP Solution File: KRS092+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n003.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 17:30:47 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   70 (  20   ~;  23   |;  17   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   42 (  35   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,plain,
    $false,
    inference(resolution,[],[f37,f29]) ).

fof(f29,plain,
    ~ cUnsatisfiable(i2003_11_14_17_20_04172),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f28,plain,
    cUnsatisfiable(i2003_11_14_17_20_04172),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cUnsatisfiable(i2003_11_14_17_20_04172),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f37,plain,
    ! [X0] : cUnsatisfiable(X0),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
      | cUnsatisfiable(X0) ),
    inference(resolution,[],[f35,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ rr(X0,sK0(X0))
      | cUnsatisfiable(X0) ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rr(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ( ! [X1] :
            ( ( cd(X1)
              & cc(X1) )
            | ~ rr(X0,X1) )
        & rr(X0,sK0(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ? [X2] : rr(X0,X2)
     => rr(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ( ! [X1] :
            ( ( cd(X1)
              & cc(X1) )
            | ~ rr(X0,X1) )
        & ? [X2] : rr(X0,X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ( ! [X2] :
            ( ( cd(X2)
              & cc(X2) )
            | ~ rr(X0,X2) )
        & ? [X1] : rr(X0,X1) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ? [X1] : rr(X0,X1)
        & ! [X2] :
            ( rr(X0,X2)
           => ( cd(X2)
              & cc(X2) ) ) ) ),
    inference(pure_predicate_removal,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) )
        & ! [X2] :
            ( rr(X0,X2)
           => ( cd(X2)
              & cc(X2) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) )
        & ! [X2] :
            ( rr(X0,X2)
           => ( cd(X2)
              & cc(X2) ) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ( ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) )
        & ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) ) )
    <=> cUnsatisfiable(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f35,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | cUnsatisfiable(X0) ),
    inference(subsumption_resolution,[],[f34,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ cd(X1)
      | cUnsatisfiable(X0)
      | rr(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( cd(X1)
      | ~ rr(X0,X1)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | cUnsatisfiable(X0)
      | cd(X1) ),
    inference(resolution,[],[f30,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( cc(X0)
      | cd(X0) ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cc(X0)
     => ~ cd(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ cc(X1)
      | cUnsatisfiable(X0)
      | rr(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | cc(X1)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % 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 : n003.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 00:33:37 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (14932)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.47  % (14924)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.47  % (14932)First to succeed.
% 0.19/0.47  % (14932)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (14932)------------------------------
% 0.19/0.47  % (14932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (14932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (14932)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (14932)Memory used [KB]: 895
% 0.19/0.47  % (14932)Time elapsed: 0.074 s
% 0.19/0.47  % (14932)Instructions burned: 2 (million)
% 0.19/0.47  % (14932)------------------------------
% 0.19/0.47  % (14932)------------------------------
% 0.19/0.47  % (14912)Success in time 0.124 s
%------------------------------------------------------------------------------