%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM015-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Fri Jul 25 12:27:29 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_has_prime_divisor)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
( ~ divides(X0,a)
| ~ prime(X0) ),
inference(cnf,[status(esa)],[prove_a_has_prime_divisor]) ).
cnf(l0,plain,
( ~ divides(factor_of(divisor(a)),a)
| ~ prime(factor_of(divisor(a))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(1,plain,
( ~ divides(X0,X1)
| ~ divides(X1,X2)
| divides(X0,X2) ),
inference(cnf,[status(esa)],[transitive_divide]) ).
cnf(l1,plain,
( ~ divides(factor_of(divisor(a)),divisor(a))
| ~ divides(divisor(a),a)
| divides(factor_of(divisor(a)),a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ less(X0,a)
| ~ less(n1,X0)
| prime(factor_of(X0)) ),
inference(cnf,[status(esa)],[factor1]) ).
cnf(l2,plain,
( ~ less(divisor(a),a)
| ~ less(n1,divisor(a))
| prime(factor_of(divisor(a))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( prime(X0)
| less(divisor(X0),X0) ),
inference(cnf,[status(esa)],[divisor2]) ).
cnf(l62,plain,
( prime(a)
| less(divisor(a),a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( prime(X0)
| less(n1,divisor(X0)) ),
inference(cnf,[status(esa)],[divisor1]) ).
cnf(l4,plain,
( prime(a)
| less(n1,divisor(a)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
( divides(divisor(X0),X0)
| prime(X0) ),
inference(cnf,[status(esa)],[prime]) ).
cnf(l3,plain,
( divides(divisor(a),a)
| prime(a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
( ~ divides(a,a)
| ~ prime(a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l63,plain,
( ~ divides(a,a)
| ~ prime(a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(0,plain,
divides(X0,X0),
inference(cnf,[status(esa)],[divide_self]) ).
cnf(l67,plain,
divides(a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ divides(a,a)
| ~ prime(a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ less(X0,a)
| ~ less(n1,X0)
| divides(factor_of(X0),X0) ),
inference(cnf,[status(esa)],[factor2]) ).
cnf(l7,plain,
( ~ less(divisor(a),a)
| ~ less(n1,divisor(a))
| divides(factor_of(divisor(a)),divisor(a)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l54,plain,
divides(a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
( prime(a)
| less(n1,divisor(a)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l10,plain,
( prime(a)
| less(divisor(a),a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l66,plain,
divides(a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
( ~ divides(a,a)
| ~ prime(a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l33,plain,
divides(a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
( ~ divides(a,a)
| ~ prime(a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l26,plain,
divides(a,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l62,l4,l3,l6,l63,l67,l5,l7,l54,l11,l10,l66,l17,l33,l12,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM015-1 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 10:13:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.18/0.35 % launching worker at depth: 12
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------