%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN004-4 : 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 : n018.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 06:32:28 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_x_divide_zero_is_x)
% Comments :
%------------------------------------------------------------------------------
cnf(10,plain,
divide(a,zero) != a,
inference(cnf,[status(esa)],[prove_x_divide_zero_is_x]) ).
cnf(l0,plain,
divide(a,zero) != a,
inference(instantiation,[status(thm)],[10]) ).
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(a,zero),a)
| ~ less_equal(a,divide(a,zero))
| divide(a,zero) = a ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
less_equal(divide(X0,X1),X0),
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l2,plain,
less_equal(divide(a,zero),a),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[quotient_less_equal2]) ).
cnf(l3,plain,
( divide(a,divide(a,zero)) != zero
| less_equal(a,divide(a,zero)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ less_equal(divide(a,divide(a,zero)),divide(zero,divide(a,zero)))
| ~ less_equal(divide(zero,divide(a,zero)),divide(a,divide(a,zero)))
| divide(a,divide(a,zero)) = divide(zero,divide(a,zero)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_divide_anything_is_zero]) ).
cnf(l6,plain,
divide(zero,divide(a,zero)) = zero,
inference(instantiation,[status(thm)],[8]) ).
cnf(l9,plain,
( ~ less_equal(divide(zero,zero),zero)
| ~ less_equal(zero,divide(zero,zero))
| divide(zero,zero) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l11,plain,
less_equal(divide(zero,zero),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l13,plain,
( divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))) != zero
| less_equal(divide(a,divide(a,zero)),divide(zero,divide(a,zero))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
( ~ less_equal(divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))),zero)
| ~ less_equal(zero,divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))))
| divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
less_equal(zero,X0),
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l14,plain,
less_equal(zero,divide(zero,zero)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l20,plain,
( ~ less_equal(zero,divide(zero,divide(a,zero)))
| ~ less_equal(divide(zero,divide(a,zero)),zero)
| zero = divide(zero,divide(a,zero)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l23,plain,
less_equal(divide(zero,divide(a,zero)),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l21,plain,
less_equal(zero,divide(zero,divide(a,zero))),
inference(instantiation,[status(thm)],[4]) ).
cnf(9,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l54,plain,
divide(divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))),divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero)))) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(l50,plain,
less_equal(divide(divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))),divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero)))),divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l27,plain,
divide(zero,zero) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(l32,plain,
divide(divide(a,zero),divide(a,zero)) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l59,plain,
less_equal(divide(divide(a,divide(a,zero)),divide(zero,divide(a,zero))),divide(divide(a,zero),divide(a,zero))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l24,plain,
less_equal(zero,divide(a,divide(a,zero))),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l6,l9,l11,l13,l15,l14,l20,l23,l21,l54,l50,l27,l32,l59,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : HEN004-4 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 17:32:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 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
% 0.18/0.40 % launching worker at depth: 12
% 0.18/0.45 % SZS status Theorem for theBenchmark
% 0.18/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------