TSTP Solution File: MGT041-2 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MGT041-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 09:08:35 EDT 2023

% Result   : Unsatisfiable 0.50s 0.58s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   32 (  12 unt;  10 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   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  :   11 (   6   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (   2 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    low: $i ).

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

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

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

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

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

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

tff(decl_29,type,
    first_mover: $i > $o ).

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

tff(decl_31,type,
    sk2: $i ).

cnf(prove_t10_8,negated_conjecture,
    ( first_mover(X1)
    | efficient_producer(X1)
    | ~ organisation_at_time(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t10_8) ).

cnf(a16_4,hypothesis,
    organisation_at_time(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_4) ).

cnf(a16_7,hypothesis,
    ~ has_elaborated_routines(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_7) ).

cnf(a14_2,hypothesis,
    ( has_elaborated_routines(X1,X2)
    | ~ organisation_at_time(X1,X2)
    | ~ efficient_producer(X1)
    | ~ founding_time(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a14_2) ).

cnf(a16_5,hypothesis,
    founding_time(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_5) ).

cnf(a15_3,hypothesis,
    ( number_of_routines(X1,X2,low)
    | ~ organisation_at_time(X1,X2)
    | ~ first_mover(X1)
    | ~ founding_time(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_3) ).

cnf(mp_not_high_and_low_1,axiom,
    ( ~ number_of_routines(X1,X2,low)
    | ~ number_of_routines(X1,X2,high) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_not_high_and_low_1) ).

cnf(a16_6,hypothesis,
    number_of_routines(sk1,sk2,high),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_6) ).

cnf(c_0_8,negated_conjecture,
    ( first_mover(X1)
    | efficient_producer(X1)
    | ~ organisation_at_time(X1,X2) ),
    prove_t10_8 ).

cnf(c_0_9,hypothesis,
    organisation_at_time(sk1,sk2),
    a16_4 ).

cnf(c_0_10,hypothesis,
    ~ has_elaborated_routines(sk1,sk2),
    a16_7 ).

cnf(c_0_11,hypothesis,
    ( has_elaborated_routines(X1,X2)
    | ~ organisation_at_time(X1,X2)
    | ~ efficient_producer(X1)
    | ~ founding_time(X1,X2) ),
    a14_2 ).

cnf(c_0_12,hypothesis,
    founding_time(sk1,sk2),
    a16_5 ).

cnf(c_0_13,hypothesis,
    ( number_of_routines(X1,X2,low)
    | ~ organisation_at_time(X1,X2)
    | ~ first_mover(X1)
    | ~ founding_time(X1,X2) ),
    a15_3 ).

cnf(c_0_14,hypothesis,
    ( first_mover(sk1)
    | efficient_producer(sk1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_15,hypothesis,
    ~ efficient_producer(sk1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_9])]) ).

cnf(c_0_16,hypothesis,
    ( number_of_routines(sk1,sk2,low)
    | ~ first_mover(sk1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_9])]) ).

cnf(c_0_17,hypothesis,
    first_mover(sk1),
    inference(sr,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    ( ~ number_of_routines(X1,X2,low)
    | ~ number_of_routines(X1,X2,high) ),
    mp_not_high_and_low_1 ).

cnf(c_0_19,hypothesis,
    number_of_routines(sk1,sk2,low),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_20,hypothesis,
    number_of_routines(sk1,sk2,high),
    a16_6 ).

cnf(c_0_21,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : MGT041-2 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n009.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    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 06:02:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.50/0.57  start to proof: theBenchmark
% 0.50/0.58  % Version  : CSE_E---1.5
% 0.50/0.58  % Problem  : theBenchmark.p
% 0.50/0.58  % Proof found
% 0.50/0.58  % SZS status Theorem for theBenchmark.p
% 0.50/0.59  % SZS output start Proof
% See solution above
% 0.50/0.59  % Total time : 0.004000 s
% 0.50/0.59  % SZS output end Proof
% 0.50/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------