%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN009-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 Jul 24 06:32:31 PM UTC 2025
% Result : Unsatisfiable 6.00s 1.10s
% Output : CNFRefutation 6.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
inference(instantiation,[status(thm)],[15]) ).
cnf(5,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[less_equal_and_equal]) ).
cnf(l1,plain,
( ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))
| ~ less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))
| divide(identity,a) = divide(identity,divide(identity,divide(identity,a))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(13,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
inference(cnf,[status(esa)],[property_of_divide2]) ).
cnf(l2,plain,
( ~ less_equal(divide(identity,divide(identity,a)),a)
| less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(cnf,[status(esa)],[property_of_divide1]) ).
cnf(l3,plain,
( ~ less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))
| less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
inference(cnf,[status(esa)],[property_of_divide3]) ).
cnf(l4,plain,
( ~ less_equal(identity,identity)
| less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l28,plain,
( ~ less_equal(divide(identity,a),divide(identity,a))
| less_equal(divide(identity,divide(identity,a)),a) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(1,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[quotient_less_equal2]) ).
cnf(l34,plain,
( divide(divide(identity,a),divide(identity,a)) != zero
| less_equal(divide(identity,a),divide(identity,a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
less_equal(X0,identity),
inference(cnf,[status(esa)],[identity_is_largest]) ).
cnf(l5,plain,
less_equal(identity,identity),
inference(instantiation,[status(thm)],[6]) ).
cnf(9,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l36,plain,
divide(divide(identity,a),divide(identity,a)) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l28,l34,l5,l36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN009-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 : Sun Jul 20 17:38:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.18/0.49 % launching worker at depth: 12
% 6.00/1.10 % SZS status Theorem for theBenchmark
% 6.00/1.10 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------