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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : KRS075+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n028.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 : Thu Jul 24 08:46:36 PM UTC 2025

% Result   : Unsatisfiable 3.48s 0.84s
% Output   : CNFRefutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (   4 unt;   0 def)
%            Number of atoms       :   70 (   9 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   69 (  29   ~;  26   |;   8   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   35 (   0 sgn  14   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_9,plain,
    cUnsatisfiable(i2003_11_14_17_19_02584),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

cnf(38,plain,
    cUnsatisfiable(i2003_11_14_17_19_02584),
    inference(cnf,[status(esa)],[axiom_9]) ).

cnf(l0,plain,
    cUnsatisfiable(i2003_11_14_17_19_02584),
    inference(instantiation,[status(thm)],[38]) ).

fof(axiom_2,plain,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y] :
            ( rf1(X,Y)
            & ~ cp(Y) )
        & ? [Y] :
            ( rs(X,Y)
            & cowlThing(Y) )
        & ? [Y] :
            ( rf(X,Y)
            & cp(Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(24,plain,
    ( ~ cUnsatisfiable(X0)
    | rs(X0,sK2(X0)) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

cnf(l1,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_02584)
    | rs(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584)) ),
    inference(instantiation,[status(thm)],[24]) ).

fof(axiom_8,plain,
    ! [X,Y,Z] :
      ( ( rs(X,Y)
        & rs(X,Z) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

cnf(37,plain,
    ( ~ rs(X0,X1)
    | ~ rs(X0,X2)
    | X1 = X2 ),
    inference(cnf,[status(esa)],[axiom_8]) ).

cnf(l2,plain,
    ( ~ rs(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584))
    | ~ rs(i2003_11_14_17_19_02584,sK1(i2003_11_14_17_19_02584))
    | sK2(i2003_11_14_17_19_02584) = sK1(i2003_11_14_17_19_02584) ),
    inference(instantiation,[status(thm)],[37]) ).

fof(axiom_4,plain,
    ! [X,Y,Z] :
      ( ( rf1(X,Y)
        & rf1(X,Z) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

cnf(30,plain,
    ( ~ rf1(X0,X1)
    | ~ rf1(X0,X2)
    | X1 = X2 ),
    inference(cnf,[status(esa)],[axiom_4]) ).

cnf(l20,plain,
    ( ~ rf1(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584))
    | ~ rf1(i2003_11_14_17_19_02584,sK1(i2003_11_14_17_19_02584))
    | sK2(i2003_11_14_17_19_02584) = sK1(i2003_11_14_17_19_02584) ),
    inference(instantiation,[status(thm)],[30]) ).

fof(axiom_10,plain,
    ! [X,Y] :
      ( rs(X,Y)
     => rf1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

cnf(39,plain,
    ( ~ rs(X0,X1)
    | rf1(X0,X1) ),
    inference(cnf,[status(esa)],[axiom_10]) ).

cnf(l75,plain,
    ( ~ rs(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584))
    | rf1(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584)) ),
    inference(instantiation,[status(thm)],[39]) ).

cnf(22,plain,
    ( ~ cUnsatisfiable(X0)
    | rf1(X0,sK1(X0)) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

cnf(l70,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_02584)
    | rf1(i2003_11_14_17_19_02584,sK1(i2003_11_14_17_19_02584)) ),
    inference(instantiation,[status(thm)],[22]) ).

fof(axiom_3,plain,
    ! [X,Y,Z] :
      ( ( rf(X,Y)
        & rf(X,Z) )
     => Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(29,plain,
    ( ~ rf(X0,X1)
    | ~ rf(X0,X2)
    | X1 = X2 ),
    inference(cnf,[status(esa)],[axiom_3]) ).

cnf(l277,plain,
    ( ~ rf(i2003_11_14_17_19_02584,sK3(i2003_11_14_17_19_02584))
    | ~ rf(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584))
    | sK3(i2003_11_14_17_19_02584) = sK2(i2003_11_14_17_19_02584) ),
    inference(instantiation,[status(thm)],[29]) ).

fof(axiom_11,plain,
    ! [X,Y] :
      ( rs(X,Y)
     => rf(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

cnf(40,plain,
    ( ~ rs(X0,X1)
    | rf(X0,X1) ),
    inference(cnf,[status(esa)],[axiom_11]) ).

cnf(l282,plain,
    ( ~ rs(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584))
    | rf(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584)) ),
    inference(instantiation,[status(thm)],[40]) ).

cnf(26,plain,
    ( ~ cUnsatisfiable(X0)
    | rf(X0,sK3(X0)) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

cnf(l286,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_02584)
    | rf(i2003_11_14_17_19_02584,sK3(i2003_11_14_17_19_02584)) ),
    inference(instantiation,[status(thm)],[26]) ).

cnf(23,plain,
    ( ~ cUnsatisfiable(X0)
    | ~ cp(sK1(X0)) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

cnf(l345,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_02584)
    | ~ cp(sK1(i2003_11_14_17_19_02584)) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(27,plain,
    ( ~ cUnsatisfiable(X0)
    | cp(sK3(X0)) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

cnf(l347,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_02584)
    | cp(sK3(i2003_11_14_17_19_02584)) ),
    inference(instantiation,[status(thm)],[27]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l20,l75,l70,l277,l282,l286,l345,l347]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS075+1 : TPTP v9.0.0. Released v3.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n028.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 : Sun Jul 20 22:10:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.20/0.35  % launching worker at depth: 5
% 0.20/0.35  % launching worker at depth: 6
% 0.20/0.35  % launching worker at depth: 3
% 0.20/0.35  % launching worker at depth: 1
% 0.20/0.35  % launching worker at depth: 2
% 0.20/0.35  % launching worker at depth: 4
% 0.20/0.35  % launching worker at depth: 7
% 0.20/0.35  % launching worker at depth: 8
% 0.20/0.35  % launching worker at depth: 9
% 0.20/0.35  % launching worker at depth: 10
% 0.20/0.38  % launching worker at depth: 11
% 2.55/0.65  % launching worker at depth: 12
% 3.48/0.84  % SZS status Theorem for theBenchmark
% 3.48/0.84  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------