TSTP Solution File: KRS063+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS063+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 : n014.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 17:30:42 EDT 2022

% Result   : Unsatisfiable 0.39s 0.67s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   52 (  19   ~;  15   |;  13   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   29 (  24   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f146,plain,
    $false,
    inference(subsumption_resolution,[],[f145,f94]) ).

fof(f94,plain,
    ~ cEuroMP(iKinnock),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ cEuroMP(iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f145,plain,
    cEuroMP(iKinnock),
    inference(resolution,[],[f143,f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ risEuroMPFrom(X0,X1)
      | cEuroMP(X0) ),
    inference(subsumption_resolution,[],[f111,f86]) ).

fof(f86,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( cowlThing(X0)
      & ~ cowlNothing(X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ risEuroMPFrom(X0,X1)
      | ~ cowlThing(X1)
      | cEuroMP(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ risEuroMPFrom(X0,X1)
            | ~ cowlThing(X1) ) )
      & ( ( risEuroMPFrom(X0,sK0(X0))
          & cowlThing(sK0(X0)) )
        | ~ cEuroMP(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f77,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ? [X2] :
          ( risEuroMPFrom(X0,X2)
          & cowlThing(X2) )
     => ( risEuroMPFrom(X0,sK0(X0))
        & cowlThing(sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ risEuroMPFrom(X0,X1)
            | ~ cowlThing(X1) ) )
      & ( ? [X2] :
            ( risEuroMPFrom(X0,X2)
            & cowlThing(X2) )
        | ~ cEuroMP(X0) ) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ risEuroMPFrom(X0,X1)
            | ~ cowlThing(X1) ) )
      & ( ? [X1] :
            ( risEuroMPFrom(X0,X1)
            & cowlThing(X1) )
        | ~ cEuroMP(X0) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0] :
      ( cEuroMP(X0)
    <=> ? [X1] :
          ( risEuroMPFrom(X0,X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] :
      ( ? [X4] :
          ( risEuroMPFrom(X3,X4)
          & cowlThing(X4) )
    <=> cEuroMP(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f143,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(resolution,[],[f118,f113]) ).

fof(f113,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ rhasEuroMP(X0,X1)
      | risEuroMPFrom(X1,X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ( risEuroMPFrom(X1,X0)
        | ~ rhasEuroMP(X0,X1) )
      & ( rhasEuroMP(X0,X1)
        | ~ risEuroMPFrom(X1,X0) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( risEuroMPFrom(X1,X0)
    <=> rhasEuroMP(X0,X1) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X4,X3] :
      ( rhasEuroMP(X4,X3)
    <=> risEuroMPFrom(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS063+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 00:32:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  ipcrm: permission denied for id (746487808)
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% 0.39/0.66  % (2277)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.39/0.66  % (2299)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 (2998ds/68Mi)
% 0.39/0.66  % (2282)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.39/0.67  % (2277)First to succeed.
% 0.39/0.67  % (2276)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.39/0.67  % (2277)Refutation found. Thanks to Tanya!
% 0.39/0.67  % SZS status Unsatisfiable for theBenchmark
% 0.39/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.67  % (2277)------------------------------
% 0.39/0.67  % (2277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.67  % (2277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.67  % (2277)Termination reason: Refutation
% 0.39/0.67  
% 0.39/0.67  % (2277)Memory used [KB]: 5500
% 0.39/0.67  % (2277)Time elapsed: 0.088 s
% 0.39/0.67  % (2277)Instructions burned: 3 (million)
% 0.39/0.67  % (2277)------------------------------
% 0.39/0.67  % (2277)------------------------------
% 0.39/0.67  % (2098)Success in time 0.311 s
%------------------------------------------------------------------------------