TSTP Solution File: SYN032-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN032-1 : 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 : n016.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 : Fri Sep  1 01:48:39 EDT 2023

% Result   : Unsatisfiable 0.18s 0.57s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   26 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   41 (  19   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   7 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    h: $o ).

tff(decl_23,type,
    a: $o ).

tff(decl_24,type,
    j: $o ).

tff(decl_25,type,
    k: $o ).

tff(decl_26,type,
    b: $o ).

tff(decl_27,type,
    c: $o ).

cnf(seven,hypothesis,
    ( c
    | ~ h ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',seven) ).

cnf(one,hypothesis,
    ( ~ h
    | ~ c ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one) ).

cnf(prove_something,negated_conjecture,
    ( ~ a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).

cnf(six,hypothesis,
    ( b
    | ~ a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',six) ).

cnf(four,hypothesis,
    ( h
    | k
    | j ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',four) ).

cnf(three,hypothesis,
    ( h
    | a
    | ~ j ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',three) ).

cnf(five,hypothesis,
    ( h
    | j
    | ~ k ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',five) ).

cnf(c_0_7,hypothesis,
    ( c
    | ~ h ),
    seven ).

cnf(c_0_8,hypothesis,
    ( ~ h
    | ~ c ),
    one ).

cnf(c_0_9,negated_conjecture,
    ( ~ a
    | ~ b ),
    prove_something ).

cnf(c_0_10,hypothesis,
    ( b
    | ~ a ),
    six ).

cnf(c_0_11,hypothesis,
    ( h
    | k
    | j ),
    four ).

cnf(c_0_12,hypothesis,
    ~ h,
    inference(csr,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,hypothesis,
    ( h
    | a
    | ~ j ),
    three ).

cnf(c_0_14,negated_conjecture,
    ~ a,
    inference(csr,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,hypothesis,
    ( h
    | j
    | ~ k ),
    five ).

cnf(c_0_16,hypothesis,
    ( k
    | j ),
    inference(sr,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,hypothesis,
    ( h
    | ~ j ),
    inference(sr,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,hypothesis,
    j,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_12]),c_0_16]) ).

cnf(c_0_19,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN032-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 17:46:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.55  start to proof: theBenchmark
% 0.18/0.57  % Version  : CSE_E---1.5
% 0.18/0.57  % Problem  : theBenchmark.p
% 0.18/0.57  % Proof found
% 0.18/0.57  % SZS status Theorem for theBenchmark.p
% 0.18/0.57  % SZS output start Proof
% See solution above
% 0.18/0.57  % Total time : 0.003000 s
% 0.18/0.57  % SZS output end Proof
% 0.18/0.57  % Total time : 0.005000 s
%------------------------------------------------------------------------------