%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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  : 600s
% DateTime : Mon Jul 18 18:20:24 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (  11 unt;   0 nHn;  25 RR)
%            Number of literals    :   50 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(one_shaved_then_all_shaved,axiom,
    ( ~ member(X)
    | ~ member(Y)
    | ~ shaved(X,Y)
    | shaved(members,X) ) ).

cnf(all_shaved_then_one_shaved,axiom,
    ( ~ shaved(members,X)
    | ~ member(Y)
    | shaved(Y,X) ) ).

cnf(guido,hypothesis,
    member(guido) ).

cnf(lorenzo,hypothesis,
    member(lorenzo) ).

cnf(petruchio,hypothesis,
    member(petruchio) ).

cnf(cesare,hypothesis,
    member(cesare) ).

cnf(guido_has_shaved_cesare,hypothesis,
    shaved(guido,cesare) ).

cnf(prove_petruchio_has_shaved_lorenzo,negated_conjecture,
    ~ shaved(petruchio,lorenzo) ).

cnf(refute_0_0,plain,
    ( ~ member(Y)
    | ~ shaved(members,lorenzo)
    | shaved(Y,lorenzo) ),
    inference(subst,[],[all_shaved_then_one_shaved:[bind(X,$fot(lorenzo))]]) ).

cnf(refute_0_1,plain,
    ( ~ member(guido)
    | ~ member(lorenzo)
    | ~ shaved(lorenzo,guido)
    | shaved(members,lorenzo) ),
    inference(subst,[],[one_shaved_then_all_shaved:[bind(X,$fot(lorenzo)),bind(Y,$fot(guido))]]) ).

cnf(refute_0_2,plain,
    ( ~ member(Y)
    | ~ shaved(members,guido)
    | shaved(Y,guido) ),
    inference(subst,[],[all_shaved_then_one_shaved:[bind(X,$fot(guido))]]) ).

cnf(refute_0_3,plain,
    ( ~ member(cesare)
    | ~ member(guido)
    | ~ shaved(guido,cesare)
    | shaved(members,guido) ),
    inference(subst,[],[one_shaved_then_all_shaved:[bind(X,$fot(guido)),bind(Y,$fot(cesare))]]) ).

cnf(refute_0_4,plain,
    ( ~ member(cesare)
    | ~ member(guido)
    | shaved(members,guido) ),
    inference(resolve,[$cnf( shaved(guido,cesare) )],[guido_has_shaved_cesare,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ member(guido)
    | shaved(members,guido) ),
    inference(resolve,[$cnf( member(cesare) )],[cesare,refute_0_4]) ).

cnf(refute_0_6,plain,
    shaved(members,guido),
    inference(resolve,[$cnf( member(guido) )],[guido,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ member(Y)
    | shaved(Y,guido) ),
    inference(resolve,[$cnf( shaved(members,guido) )],[refute_0_6,refute_0_2]) ).

cnf(refute_0_8,plain,
    ( ~ member(lorenzo)
    | shaved(lorenzo,guido) ),
    inference(subst,[],[refute_0_7:[bind(Y,$fot(lorenzo))]]) ).

cnf(refute_0_9,plain,
    shaved(lorenzo,guido),
    inference(resolve,[$cnf( member(lorenzo) )],[lorenzo,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ member(guido)
    | ~ member(lorenzo)
    | shaved(members,lorenzo) ),
    inference(resolve,[$cnf( shaved(lorenzo,guido) )],[refute_0_9,refute_0_1]) ).

cnf(refute_0_11,plain,
    ( ~ member(lorenzo)
    | shaved(members,lorenzo) ),
    inference(resolve,[$cnf( member(guido) )],[guido,refute_0_10]) ).

cnf(refute_0_12,plain,
    shaved(members,lorenzo),
    inference(resolve,[$cnf( member(lorenzo) )],[lorenzo,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ member(Y)
    | shaved(Y,lorenzo) ),
    inference(resolve,[$cnf( shaved(members,lorenzo) )],[refute_0_12,refute_0_0]) ).

cnf(refute_0_14,plain,
    ( ~ member(petruchio)
    | shaved(petruchio,lorenzo) ),
    inference(subst,[],[refute_0_13:[bind(Y,$fot(petruchio))]]) ).

cnf(refute_0_15,plain,
    shaved(petruchio,lorenzo),
    inference(resolve,[$cnf( member(petruchio) )],[petruchio,refute_0_14]) ).

cnf(refute_0_16,plain,
    $false,
    inference(resolve,[$cnf( shaved(petruchio,lorenzo) )],[refute_0_15,prove_petruchio_has_shaved_lorenzo]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n021.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  : 600
% 0.13/0.34  % DateTime : Sun May 29 00:07:42 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------