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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : KRS063+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:52:58 PM UTC 2026

% Result   : Unsatisfiable 4.73s 1.15s
% Output   : Proof 4.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   47 (  21   ~;  14   |;  10   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :   21 (   1 sgn  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X] :
      ( cEuroMP(X)
    <=> ? [Y] :
          ( cowlThing(Y)
          & risEuroMPFrom(X,Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f15_nnf,plain,
    ! [X] :
      ( ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(X,Y) )
        | cEuroMP(X) )
      & ( ? [Y] :
            ( cowlThing(Y)
            & risEuroMPFrom(X,Y) )
        | ~ cEuroMP(X) ) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [X,Y] :
      ( ( ~ cowlThing(Y)
        | ~ risEuroMPFrom(X,Y)
        | cEuroMP(X) )
      & ( ( cowlThing(sk0(X))
          & risEuroMPFrom(X,sk0(X)) )
        | ~ cEuroMP(X) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f15_nnf]) ).

cnf(c25,plain,
    ( ~ cowlThing(X1)
    | ~ risEuroMPFrom(X0,X1)
    | cEuroMP(X0) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

fof(f17,axiom,
    ! [X,Y] :
      ( risEuroMPFrom(X,Y)
    <=> rhasEuroMP(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f17_nnf,plain,
    ! [X,Y] :
      ( ( ~ rhasEuroMP(Y,X)
        | risEuroMPFrom(X,Y) )
      & ( rhasEuroMP(Y,X)
        | ~ risEuroMPFrom(X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    ! [X,Y] :
      ( ( ~ rhasEuroMP(Y,X)
        | risEuroMPFrom(X,Y) )
      & ( rhasEuroMP(Y,X)
        | ~ risEuroMPFrom(X,Y) ) ),
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c28,plain,
    ( ~ rhasEuroMP(X1,X0)
    | risEuroMPFrom(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

fof(f26,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f26_nnf,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(nnf_transformation,[status(thm)],[f26]) ).

cnf(c37,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(cnf_transformation,[status(esa)],[f26_nnf]) ).

cnf(p44,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(resolution,[status(thm)],[c28,c37]) ).

cnf(p45,plain,
    ( ~ cowlThing(iUK)
    | cEuroMP(iKinnock) ),
    inference(resolution,[status(thm)],[c25,p44]) ).

fof(f12,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f12_nnf,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    cowlThing(X0),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(p46,plain,
    cEuroMP(iKinnock),
    inference(resolution,[status(thm)],[p45,c12]) ).

fof(f22,axiom,
    ~ cEuroMP(iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f22_nnf,plain,
    ~ cEuroMP(iKinnock),
    inference(nnf_transformation,[status(thm)],[f22]) ).

fof(f22_sk,plain,
    ~ cEuroMP(iKinnock),
    inference(skolemisation,[status(esa)],[f22_nnf]) ).

cnf(c33,plain,
    ~ cEuroMP(iKinnock),
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

cnf(p47,plain,
    $false,
    inference(resolution,[status(thm)],[p46,c33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS063+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.34  % Computer : n002.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8046.5625MB
% 0.09/0.34  % OS       : Linux 6.8.0-71-generic
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Wed Sep 23 19:20:48 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.73/1.15  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.73/1.15  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------