TSTP Solution File: KRS063+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS063+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.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 : Sun May  5 07:19:25 EDT 2024

% Result   : Unsatisfiable 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   53 (  20   ~;  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   :   30 (  25   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f131,plain,
    $false,
    inference(unit_resulting_resolution,[],[f127,f75,f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ rhasEuroMP(X1,X0)
      | risEuroMPFrom(X0,X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( risEuroMPFrom(X0,X1)
        | ~ rhasEuroMP(X1,X0) )
      & ( rhasEuroMP(X1,X0)
        | ~ risEuroMPFrom(X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( risEuroMPFrom(X0,X1)
    <=> rhasEuroMP(X1,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X4] :
      ( risEuroMPFrom(X3,X4)
    <=> rhasEuroMP(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f75,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f127,plain,
    ! [X0] : ~ risEuroMPFrom(iKinnock,X0),
    inference(unit_resulting_resolution,[],[f67,f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ risEuroMPFrom(X0,X1)
      | cEuroMP(X0) ),
    inference(subsumption_resolution,[],[f82,f76]) ).

fof(f76,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f82,plain,
    ! [X0,X1] :
      ( cEuroMP(X0)
      | ~ cowlThing(X1)
      | ~ risEuroMPFrom(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ risEuroMPFrom(X0,X1) ) )
      & ( ( cowlThing(sK0(X0))
          & risEuroMPFrom(X0,sK0(X0)) )
        | ~ cEuroMP(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f61,f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ? [X2] :
          ( cowlThing(X2)
          & risEuroMPFrom(X0,X2) )
     => ( cowlThing(sK0(X0))
        & risEuroMPFrom(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ risEuroMPFrom(X0,X1) ) )
      & ( ? [X2] :
            ( cowlThing(X2)
            & risEuroMPFrom(X0,X2) )
        | ~ cEuroMP(X0) ) ),
    inference(rectify,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ risEuroMPFrom(X0,X1) ) )
      & ( ? [X1] :
            ( cowlThing(X1)
            & risEuroMPFrom(X0,X1) )
        | ~ cEuroMP(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( cEuroMP(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & risEuroMPFrom(X0,X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] :
      ( cEuroMP(X3)
    <=> ? [X4] :
          ( cowlThing(X4)
          & risEuroMPFrom(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f67,plain,
    ~ cEuroMP(iKinnock),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ cEuroMP(iKinnock),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KRS063+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 19:52:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (30382)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (30385)WARNING: value z3 for option sas not known
% 0.22/0.38  % (30386)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (30388)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38  % (30387)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38  % (30385)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (30383)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (30384)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (30389)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [4]
% 0.22/0.39  % (30388)Also succeeded, but the first one will report.
% 0.22/0.39  % (30389)First to succeed.
% 0.22/0.39  TRYING [4]
% 0.22/0.39  TRYING [5]
% 0.22/0.39  % (30389)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30382"
% 0.22/0.39  TRYING [5]
% 0.22/0.39  % (30387)Also succeeded, but the first one will report.
% 0.22/0.39  TRYING [6]
% 0.22/0.39  % (30385)Also succeeded, but the first one will report.
% 0.22/0.39  TRYING [6]
% 0.22/0.39  % (30386)Also succeeded, but the first one will report.
% 0.22/0.39  TRYING [1]
% 0.22/0.39  % (30389)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (30389)------------------------------
% 0.22/0.39  % (30389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39  % (30389)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (30389)Memory used [KB]: 820
% 0.22/0.39  % (30389)Time elapsed: 0.004 s
% 0.22/0.39  % (30389)Instructions burned: 4 (million)
% 0.22/0.39  % (30382)Success in time 0.01 s
%------------------------------------------------------------------------------