%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM015-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:51:38 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(divide_self,axiom,
divides(X,X),
file('theBenchmark.p',divide_self) ).
cnf(transitive_divide,axiom,
( divides(X,Z)
| ~ divides(Y,Z)
| ~ divides(X,Y) ),
file('theBenchmark.p',transitive_divide) ).
cnf(prime,axiom,
( divides(divisor(X),X)
| prime(X) ),
file('theBenchmark.p',prime) ).
cnf(divisor1,axiom,
( less(n1,divisor(X))
| prime(X) ),
file('theBenchmark.p',divisor1) ).
cnf(divisor2,axiom,
( less(divisor(X),X)
| prime(X) ),
file('theBenchmark.p',divisor2) ).
cnf(factor1,axiom,
( prime(factor_of(X))
| ~ less(X,a)
| ~ less(n1,X) ),
file('theBenchmark.p',factor1) ).
cnf(factor2,axiom,
( divides(factor_of(X),X)
| ~ less(X,a)
| ~ less(n1,X) ),
file('theBenchmark.p',factor2) ).
cnf(a_is_greater_than_1,hypothesis,
less(n1,a),
file('theBenchmark.p',a_is_greater_than_1) ).
cnf(prove_a_has_prime_divisor,negated_conjecture,
( ~ divides(X,a)
| ~ prime(X) ),
file('theBenchmark.p',prove_a_has_prime_divisor) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 17:35:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------