TSTP Solution File: PUZ019-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n029.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 13:12:09 EDT 2023

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   48 (  11 unt;  19 typ;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  110 (  59   ~;  51   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   7   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   52 (  44 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

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

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

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

tff(decl_29,type,
    guard: $i ).

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

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

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

tff(decl_33,type,
    actor: $i ).

tff(decl_34,type,
    boxer: $i ).

tff(decl_35,type,
    teacher: $i ).

tff(decl_36,type,
    has_job: ( $i * $i ) > $o ).

tff(decl_37,type,
    male: $i > $o ).

tff(decl_38,type,
    female: $i > $o ).

tff(decl_39,type,
    educated: $i > $o ).

tff(decl_40,type,
    husband: ( $i * $i ) > $o ).

cnf(males_are_not_female,axiom,
    ( ~ male(X1)
    | ~ female(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',males_are_not_female) ).

cnf(thelma_is_female,hypothesis,
    female(thelma),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thelma_is_female) ).

cnf(find_who_has_each_job,negated_conjecture,
    ( ~ has_job(X1,chef)
    | ~ has_job(X2,guard)
    | ~ has_job(X3,nurse)
    | ~ has_job(X4,operator)
    | ~ has_job(X5,police)
    | ~ has_job(X6,teacher)
    | ~ has_job(X7,actor)
    | ~ has_job(X8,boxer) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_who_has_each_job) ).

cnf(every_job_is_used,hypothesis,
    ( has_job(roberta,X1)
    | has_job(thelma,X1)
    | has_job(pete,X1)
    | has_job(steve,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_job_is_used) ).

cnf(roberta_is_not_chef,hypothesis,
    ~ has_job(roberta,chef),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_chef) ).

cnf(nurse_is_male,axiom,
    ( male(X1)
    | ~ has_job(X1,nurse) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_is_male) ).

cnf(roberta_is_not_police,hypothesis,
    ~ has_job(roberta,police),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_police) ).

cnf(actor_is_male,axiom,
    ( male(X1)
    | ~ has_job(X1,actor) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_is_male) ).

cnf(roberta_is_not_boxer,hypothesis,
    ~ has_job(roberta,boxer),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_boxer) ).

cnf(c_0_9,axiom,
    ( ~ male(X1)
    | ~ female(X1) ),
    males_are_not_female ).

cnf(c_0_10,hypothesis,
    female(thelma),
    thelma_is_female ).

cnf(c_0_11,negated_conjecture,
    ( ~ has_job(X1,chef)
    | ~ has_job(X2,guard)
    | ~ has_job(X3,nurse)
    | ~ has_job(X4,operator)
    | ~ has_job(X5,police)
    | ~ has_job(X6,teacher)
    | ~ has_job(X7,actor)
    | ~ has_job(X8,boxer) ),
    find_who_has_each_job ).

cnf(c_0_12,hypothesis,
    ( has_job(roberta,X1)
    | has_job(thelma,X1)
    | has_job(pete,X1)
    | has_job(steve,X1) ),
    every_job_is_used ).

cnf(c_0_13,hypothesis,
    ~ has_job(roberta,chef),
    roberta_is_not_chef ).

cnf(c_0_14,axiom,
    ( male(X1)
    | ~ has_job(X1,nurse) ),
    nurse_is_male ).

cnf(c_0_15,hypothesis,
    ~ male(thelma),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_16,hypothesis,
    ( ~ has_job(X1,boxer)
    | ~ has_job(X2,actor)
    | ~ has_job(X3,teacher)
    | ~ has_job(X4,police)
    | ~ has_job(X5,operator)
    | ~ has_job(X6,nurse)
    | ~ has_job(X7,guard) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_11]),c_0_11]) ).

cnf(c_0_17,hypothesis,
    ( has_job(roberta,nurse)
    | has_job(pete,nurse)
    | has_job(steve,nurse) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_15]) ).

cnf(c_0_18,hypothesis,
    ( ~ has_job(X1,boxer)
    | ~ has_job(X2,actor)
    | ~ has_job(X3,teacher)
    | ~ has_job(X4,police)
    | ~ has_job(X5,operator)
    | ~ has_job(X6,guard) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_16]),c_0_16]) ).

cnf(c_0_19,hypothesis,
    ~ has_job(roberta,police),
    roberta_is_not_police ).

cnf(c_0_20,axiom,
    ( male(X1)
    | ~ has_job(X1,actor) ),
    actor_is_male ).

cnf(c_0_21,hypothesis,
    ( ~ has_job(X1,boxer)
    | ~ has_job(X2,actor)
    | ~ has_job(X3,teacher)
    | ~ has_job(X4,operator)
    | ~ has_job(X5,guard) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_19]),c_0_18]),c_0_18]) ).

cnf(c_0_22,hypothesis,
    ( has_job(roberta,actor)
    | has_job(pete,actor)
    | has_job(steve,actor) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_12]),c_0_15]) ).

cnf(c_0_23,hypothesis,
    ( ~ has_job(X1,boxer)
    | ~ has_job(X2,teacher)
    | ~ has_job(X3,operator)
    | ~ has_job(X4,guard) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_21]),c_0_21]) ).

cnf(c_0_24,hypothesis,
    ~ has_job(roberta,boxer),
    roberta_is_not_boxer ).

cnf(c_0_25,hypothesis,
    ( ~ has_job(X1,teacher)
    | ~ has_job(X2,operator)
    | ~ has_job(X3,guard) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_12]),c_0_24]),c_0_23]),c_0_23]) ).

cnf(c_0_26,hypothesis,
    ( ~ has_job(X1,teacher)
    | ~ has_job(X2,operator) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_12]),c_0_25]),c_0_25]),c_0_25]) ).

cnf(c_0_27,hypothesis,
    ~ has_job(X1,teacher),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_12]),c_0_26]),c_0_26]),c_0_26]) ).

cnf(c_0_28,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_12]),c_0_27]),c_0_27]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ019-1 : TPTP v8.1.2. Bugfixed v5.1.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 22:37:55 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.20/0.60  % Version  : CSE_E---1.5
% 0.20/0.60  % Problem  : theBenchmark.p
% 0.20/0.60  % Proof found
% 0.20/0.60  % SZS status Theorem for theBenchmark.p
% 0.20/0.60  % SZS output start Proof
% See solution above
% 0.20/0.60  % Total time : 0.008000 s
% 0.20/0.60  % SZS output end Proof
% 0.20/0.60  % Total time : 0.011000 s
%------------------------------------------------------------------------------