%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT045-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n027.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 09:08:37 EDT 2023

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   23 (   8 unt;  11 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   8   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    greater_or_equal: ( $i * $i ) > $o ).

tff(decl_25,type,
    greater: ( $i * $i ) > $o ).

tff(decl_26,type,
    organization: $i > $o ).

tff(decl_27,type,
    external_ties: ( $i * $i ) > $i ).

tff(decl_28,type,
    position: ( $i * $i ) > $i ).

tff(decl_29,type,
    age: ( $i * $i ) > $i ).

tff(decl_30,type,
    sk1: $i ).

tff(decl_31,type,
    sk3: $i ).

tff(decl_32,type,
    sk2: $i ).

cnf(assumption_8_32,axiom,
    ( greater(external_ties(X1,X2),external_ties(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_32) ).

cnf(lemma_4_34,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_34) ).

cnf(lemma_4_33,negated_conjecture,
    organization(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_33) ).

cnf(assumption_6_30,axiom,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ organization(X1)
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_30) ).

cnf(lemma_4_35,negated_conjecture,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_35) ).

cnf(c_0_5,axiom,
    ( greater(external_ties(X1,X2),external_ties(X1,X3))
    | ~ organization(X1)
    | ~ greater(age(X1,X2),age(X1,X3)) ),
    assumption_8_32 ).

cnf(c_0_6,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    lemma_4_34 ).

cnf(c_0_7,negated_conjecture,
    organization(sk1),
    lemma_4_33 ).

cnf(c_0_8,axiom,
    ( greater(position(X1,X2),position(X1,X3))
    | ~ organization(X1)
    | ~ greater(external_ties(X1,X2),external_ties(X1,X3)) ),
    assumption_6_30 ).

cnf(c_0_9,negated_conjecture,
    greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).

cnf(c_0_10,negated_conjecture,
    ~ greater(position(sk1,sk3),position(sk1,sk2)),
    lemma_4_35 ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : MGT045-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 28 06:49:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.58  % Total time : 0.005000 s
% 0.19/0.58  % SZS output end Proof
% 0.19/0.58  % Total time : 0.008000 s
%------------------------------------------------------------------------------