%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n010.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 Aug 31 13:11:28 EDT 2023

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   28 (  14 unt;   7 typ;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            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   :   12 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    member: $i > $o ).

tff(decl_23,type,
    shaved: ( $i * $i ) > $o ).

tff(decl_24,type,
    members: $i ).

tff(decl_25,type,
    guido: $i ).

tff(decl_26,type,
    lorenzo: $i ).

tff(decl_27,type,
    petruchio: $i ).

tff(decl_28,type,
    cesare: $i ).

cnf(one_shaved_then_all_shaved,axiom,
    ( shaved(members,X1)
    | ~ member(X1)
    | ~ member(X2)
    | ~ shaved(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_shaved_then_all_shaved) ).

cnf(guido_has_shaved_cesare,hypothesis,
    shaved(guido,cesare),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guido_has_shaved_cesare) ).

cnf(cesare,hypothesis,
    member(cesare),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cesare) ).

cnf(guido,hypothesis,
    member(guido),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guido) ).

cnf(all_shaved_then_one_shaved,axiom,
    ( shaved(X2,X1)
    | ~ shaved(members,X1)
    | ~ member(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_shaved_then_one_shaved) ).

cnf(prove_petruchio_has_shaved_lorenzo,negated_conjecture,
    ~ shaved(petruchio,lorenzo),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_petruchio_has_shaved_lorenzo) ).

cnf(petruchio,hypothesis,
    member(petruchio),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',petruchio) ).

cnf(lorenzo,hypothesis,
    member(lorenzo),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lorenzo) ).

cnf(c_0_8,axiom,
    ( shaved(members,X1)
    | ~ member(X1)
    | ~ member(X2)
    | ~ shaved(X1,X2) ),
    one_shaved_then_all_shaved ).

cnf(c_0_9,hypothesis,
    shaved(guido,cesare),
    guido_has_shaved_cesare ).

cnf(c_0_10,hypothesis,
    member(cesare),
    cesare ).

cnf(c_0_11,hypothesis,
    member(guido),
    guido ).

cnf(c_0_12,axiom,
    ( shaved(X2,X1)
    | ~ shaved(members,X1)
    | ~ member(X2) ),
    all_shaved_then_one_shaved ).

cnf(c_0_13,hypothesis,
    shaved(members,guido),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]) ).

cnf(c_0_14,hypothesis,
    ( shaved(X1,guido)
    | ~ member(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,hypothesis,
    ( shaved(members,X1)
    | ~ member(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_14]),c_0_11])]) ).

cnf(c_0_16,negated_conjecture,
    ~ shaved(petruchio,lorenzo),
    prove_petruchio_has_shaved_lorenzo ).

cnf(c_0_17,hypothesis,
    ( shaved(X1,X2)
    | ~ member(X1)
    | ~ member(X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_15]) ).

cnf(c_0_18,hypothesis,
    member(petruchio),
    petruchio ).

cnf(c_0_19,hypothesis,
    member(lorenzo),
    lorenzo ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Aug 26 22:19:05 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.59  % Total time : 0.004000 s
% 0.21/0.59  % SZS output end Proof
% 0.21/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------