%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ019-1 : TPTP v9.2.1. Bugfixed v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : Tue May 5 05:02:39 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of clauses : 88 ( 42 unt; 13 nHn; 86 RR)
% Number of literals : 185 ( 0 equ; 116 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 89 ( 48 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(pete_is_not_educated,hypothesis,
~ educated(pete),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_is_not_educated) ).
cnf(police_is_educated,axiom,
( educated(X1)
| ~ has_job(X1,police) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_is_educated) ).
cnf(males_are_not_female,axiom,
( ~ male(X1)
| ~ female(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',males_are_not_female) ).
cnf(chef_is_female,axiom,
( female(X1)
| ~ has_job(X1,chef) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_is_female) ).
cnf(chef_is_not_also_police,axiom,
( ~ has_job(X1,chef)
| ~ has_job(X1,police) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',chef_is_not_also_police) ).
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_police,hypothesis,
~ has_job(roberta,police),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_police) ).
cnf(pete_is_male,hypothesis,
male(pete),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pete_is_male) ).
cnf(steve_is_male,hypothesis,
male(steve),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',steve_is_male) ).
cnf(thelma_is_female,hypothesis,
female(thelma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thelma_is_female) ).
cnf(roberta_is_female,hypothesis,
female(roberta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_female) ).
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(nurse_is_educated,axiom,
( educated(X1)
| ~ has_job(X1,nurse) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_is_educated) ).
cnf(each_has_maximum_of_two_jobs,hypothesis,
( equal_jobs(X2,X3)
| equal_jobs(X2,X4)
| equal_jobs(X3,X4)
| ~ has_job(X1,X2)
| ~ has_job(X1,X3)
| ~ has_job(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_has_maximum_of_two_jobs) ).
cnf(actor_is_male,axiom,
( male(X1)
| ~ has_job(X1,actor) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',actor_is_male) ).
cnf(nurse_not_police,axiom,
~ equal_jobs(nurse,police),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_police) ).
cnf(symmetry_of_equal_jobs,axiom,
( equal_jobs(X2,X1)
| ~ equal_jobs(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equal_jobs) ).
cnf(nurse_not_actor,axiom,
~ equal_jobs(nurse,actor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_actor) ).
cnf(husband_is_male,axiom,
( male(X2)
| ~ husband(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_is_male) ).
cnf(husband_of_chef_is_operator1,hypothesis,
( husband(X1,X2)
| ~ has_job(X1,chef)
| ~ has_job(X2,operator) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_of_chef_is_operator1) ).
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(roberta_is_not_boxer,hypothesis,
~ has_job(roberta,boxer),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',roberta_is_not_boxer) ).
cnf(police_not_actor,axiom,
~ equal_jobs(police,actor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',police_not_actor) ).
cnf(teacher_is_educated,axiom,
( educated(X1)
| ~ has_job(X1,teacher) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teacher_is_educated) ).
cnf(operator_not_police,axiom,
~ equal_jobs(operator,police),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operator_not_police) ).
cnf(nurse_not_operator,axiom,
~ equal_jobs(nurse,operator),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nurse_not_operator) ).
cnf(c_0_27,hypothesis,
~ educated(pete),
pete_is_not_educated ).
cnf(c_0_28,axiom,
( educated(X1)
| ~ has_job(X1,police) ),
police_is_educated ).
cnf(c_0_29,axiom,
( ~ male(X1)
| ~ female(X1) ),
males_are_not_female ).
cnf(c_0_30,axiom,
( female(X1)
| ~ has_job(X1,chef) ),
chef_is_female ).
cnf(c_0_31,axiom,
( ~ has_job(X1,chef)
| ~ has_job(X1,police) ),
chef_is_not_also_police ).
cnf(c_0_32,hypothesis,
( has_job(roberta,X1)
| has_job(thelma,X1)
| has_job(pete,X1)
| has_job(steve,X1) ),
every_job_is_used ).
cnf(c_0_33,hypothesis,
~ has_job(roberta,police),
roberta_is_not_police ).
cnf(c_0_34,hypothesis,
~ has_job(pete,police),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
( ~ male(X1)
| ~ has_job(X1,chef) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,hypothesis,
male(pete),
pete_is_male ).
cnf(c_0_37,hypothesis,
male(steve),
steve_is_male ).
cnf(c_0_38,hypothesis,
female(thelma),
thelma_is_female ).
cnf(c_0_39,hypothesis,
female(roberta),
roberta_is_female ).
cnf(c_0_40,hypothesis,
( has_job(steve,police)
| ~ has_job(thelma,chef) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_41,hypothesis,
~ has_job(roberta,chef),
roberta_is_not_chef ).
cnf(c_0_42,hypothesis,
~ has_job(pete,chef),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,hypothesis,
~ has_job(steve,chef),
inference(spm,[status(thm)],[c_0_35,c_0_37]) ).
cnf(c_0_44,hypothesis,
~ male(thelma),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
cnf(c_0_45,axiom,
( male(X1)
| ~ has_job(X1,nurse) ),
nurse_is_male ).
cnf(c_0_46,hypothesis,
~ male(roberta),
inference(spm,[status(thm)],[c_0_29,c_0_39]) ).
cnf(c_0_47,axiom,
( educated(X1)
| ~ has_job(X1,nurse) ),
nurse_is_educated ).
cnf(c_0_48,hypothesis,
( equal_jobs(X2,X3)
| equal_jobs(X2,X4)
| equal_jobs(X3,X4)
| ~ has_job(X1,X2)
| ~ has_job(X1,X3)
| ~ has_job(X1,X4) ),
each_has_maximum_of_two_jobs ).
cnf(c_0_49,hypothesis,
has_job(steve,police),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_50,hypothesis,
~ has_job(thelma,nurse),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,hypothesis,
~ has_job(roberta,nurse),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_52,hypothesis,
~ has_job(pete,nurse),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_53,axiom,
( male(X1)
| ~ has_job(X1,actor) ),
actor_is_male ).
cnf(c_0_54,hypothesis,
( equal_jobs(X1,police)
| equal_jobs(X2,police)
| equal_jobs(X1,X2)
| ~ has_job(steve,X2)
| ~ has_job(steve,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,hypothesis,
has_job(steve,nurse),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_51]),c_0_52]) ).
cnf(c_0_56,axiom,
~ equal_jobs(nurse,police),
nurse_not_police ).
cnf(c_0_57,hypothesis,
~ has_job(thelma,actor),
inference(spm,[status(thm)],[c_0_44,c_0_53]) ).
cnf(c_0_58,hypothesis,
~ has_job(roberta,actor),
inference(spm,[status(thm)],[c_0_46,c_0_53]) ).
cnf(c_0_59,hypothesis,
( equal_jobs(X1,nurse)
| equal_jobs(X1,police)
| ~ has_job(steve,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_60,hypothesis,
( has_job(steve,actor)
| has_job(pete,actor) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_32]),c_0_58]) ).
cnf(c_0_61,axiom,
( equal_jobs(X2,X1)
| ~ equal_jobs(X1,X2) ),
symmetry_of_equal_jobs ).
cnf(c_0_62,hypothesis,
( has_job(pete,actor)
| equal_jobs(actor,police)
| equal_jobs(actor,nurse) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,axiom,
~ equal_jobs(nurse,actor),
nurse_not_actor ).
cnf(c_0_64,axiom,
( male(X2)
| ~ husband(X1,X2) ),
husband_is_male ).
cnf(c_0_65,hypothesis,
( husband(X1,X2)
| ~ has_job(X1,chef)
| ~ has_job(X2,operator) ),
husband_of_chef_is_operator1 ).
cnf(c_0_66,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_67,hypothesis,
~ has_job(roberta,boxer),
roberta_is_not_boxer ).
cnf(c_0_68,hypothesis,
( has_job(pete,actor)
| equal_jobs(actor,police) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_69,axiom,
~ equal_jobs(police,actor),
police_not_actor ).
cnf(c_0_70,hypothesis,
( male(X1)
| ~ has_job(X1,operator)
| ~ has_job(X2,chef) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,hypothesis,
( ~ has_job(X1,actor)
| ~ has_job(X2,teacher)
| ~ has_job(X3,police)
| ~ has_job(X4,operator)
| ~ has_job(X5,nurse)
| ~ has_job(X6,guard)
| ~ has_job(X7,chef) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_32]),c_0_67]),c_0_66]),c_0_66]) ).
cnf(c_0_72,hypothesis,
has_job(pete,actor),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_68]),c_0_69]) ).
cnf(c_0_73,axiom,
( educated(X1)
| ~ has_job(X1,teacher) ),
teacher_is_educated ).
cnf(c_0_74,hypothesis,
( has_job(steve,operator)
| has_job(pete,operator)
| has_job(roberta,operator)
| ~ has_job(X1,chef) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_32]),c_0_44]) ).
cnf(c_0_75,hypothesis,
( ~ has_job(X1,teacher)
| ~ has_job(X2,police)
| ~ has_job(X3,operator)
| ~ has_job(X4,nurse)
| ~ has_job(X5,guard)
| ~ has_job(X6,chef) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,hypothesis,
~ has_job(pete,teacher),
inference(spm,[status(thm)],[c_0_27,c_0_73]) ).
cnf(c_0_77,hypothesis,
( has_job(roberta,operator)
| has_job(pete,operator)
| has_job(steve,operator) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_32]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_78,axiom,
~ equal_jobs(operator,police),
operator_not_police ).
cnf(c_0_79,hypothesis,
( ~ has_job(X1,police)
| ~ has_job(X2,operator)
| ~ has_job(X3,nurse)
| ~ has_job(X4,guard)
| ~ has_job(X5,chef) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_32]),c_0_76]),c_0_75]),c_0_75]) ).
cnf(c_0_80,hypothesis,
( has_job(pete,operator)
| has_job(roberta,operator)
| equal_jobs(operator,nurse) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_77]),c_0_78]) ).
cnf(c_0_81,axiom,
~ equal_jobs(nurse,operator),
nurse_not_operator ).
cnf(c_0_82,hypothesis,
( ~ has_job(X1,operator)
| ~ has_job(X2,nurse)
| ~ has_job(X3,guard)
| ~ has_job(X4,chef) ),
inference(spm,[status(thm)],[c_0_79,c_0_49]) ).
cnf(c_0_83,hypothesis,
( has_job(roberta,operator)
| has_job(pete,operator) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_80]),c_0_81]) ).
cnf(c_0_84,hypothesis,
( ~ has_job(X1,nurse)
| ~ has_job(X2,guard)
| ~ has_job(X3,chef) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_82]) ).
cnf(c_0_85,hypothesis,
( ~ has_job(X1,guard)
| ~ has_job(X2,chef) ),
inference(spm,[status(thm)],[c_0_84,c_0_55]) ).
cnf(c_0_86,hypothesis,
~ has_job(X1,chef),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_32]),c_0_85]),c_0_85]),c_0_85]) ).
cnf(c_0_87,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_32]),c_0_41]),c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ019-1 : TPTP v9.2.1. Bugfixed v5.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:32:39 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------