%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : HEN001-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 01:54:13 EDT 2023

% Result   : Unsatisfiable 0.22s 0.60s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   13 (   6 unt;   5 typ;   0 def)
%            Number of atoms       :   10 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   3 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

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

cnf(quotient_less_equal1,axiom,
    ( divide(X1,X2) = zero
    | ~ less_equal(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).

cnf(identity_is_largest,axiom,
    less_equal(X1,identity),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).

cnf(prove_a_divide_id_is_zero,negated_conjecture,
    divide(a,identity) != zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_id_is_zero) ).

cnf(c_0_3,axiom,
    ( divide(X1,X2) = zero
    | ~ less_equal(X1,X2) ),
    quotient_less_equal1 ).

cnf(c_0_4,axiom,
    less_equal(X1,identity),
    identity_is_largest ).

cnf(c_0_5,negated_conjecture,
    divide(a,identity) != zero,
    prove_a_divide_id_is_zero ).

cnf(c_0_6,plain,
    divide(X1,identity) = zero,
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : HEN001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Aug 24 12:57:09 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.59  start to proof: theBenchmark
% 0.22/0.60  % Version  : CSE_E---1.5
% 0.22/0.60  % Problem  : theBenchmark.p
% 0.22/0.60  % Proof found
% 0.22/0.60  % SZS status Theorem for theBenchmark.p
% 0.22/0.60  % SZS output start Proof
% See solution above
% 0.22/0.60  % Total time : 0.003000 s
% 0.22/0.60  % SZS output end Proof
% 0.22/0.60  % Total time : 0.006000 s
%------------------------------------------------------------------------------