%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN005-6 : 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 : n020.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 06:32:29 PM UTC 2025
% Result : Unsatisfiable 252.19s 32.13s
% Output : CNFRefutation 252.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_LE_c)
% Comments :
%------------------------------------------------------------------------------
cnf(11,plain,
~ less_equal(a,c),
inference(cnf,[status(esa)],[prove_a_LE_c]) ).
cnf(l0,plain,
~ less_equal(a,c),
inference(instantiation,[status(thm)],[11]) ).
cnf(1,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[quotient_less_equal2]) ).
cnf(l1,plain,
( divide(a,c) != zero
| less_equal(a,c) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[less_equal_and_equal]) ).
cnf(l2,plain,
( ~ less_equal(divide(a,c),zero)
| ~ less_equal(zero,divide(a,c))
| divide(a,c) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l3,plain,
( divide(divide(a,c),zero) != zero
| less_equal(divide(a,c),zero) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
less_equal(zero,X0),
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l6,plain,
less_equal(zero,divide(a,c)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l5,plain,
( ~ less_equal(zero,divide(divide(a,c),zero))
| ~ less_equal(divide(divide(a,c),zero),zero)
| zero = divide(divide(a,c),zero) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l13,plain,
( divide(zero,divide(divide(a,c),zero)) != zero
| less_equal(zero,divide(divide(a,c),zero)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2567,plain,
( divide(divide(zero,c),zero) != zero
| less_equal(divide(zero,c),zero) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l609,plain,
( ~ less_equal(divide(zero,c),divide(divide(a,c),zero))
| ~ less_equal(divide(divide(a,c),zero),divide(zero,c))
| divide(zero,c) = divide(divide(a,c),zero) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l2568,plain,
( ~ less_equal(divide(divide(zero,c),zero),zero)
| ~ less_equal(zero,divide(divide(zero,c),zero))
| divide(divide(zero,c),zero) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l2570,plain,
less_equal(zero,divide(divide(zero,c),zero)),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(cnf,[status(esa)],[quotient_less_equal1]) ).
cnf(l2588,plain,
( ~ less_equal(zero,c)
| divide(zero,c) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_divide_anything_is_zero]) ).
cnf(l2585,plain,
divide(zero,X0_2585) = zero,
inference(instantiation,[status(thm)],[8]) ).
cnf(2,plain,
less_equal(divide(X0,X1),X0),
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l2587,plain,
less_equal(divide(divide(zero,c),zero),divide(zero,c)),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l2605,plain,
less_equal(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)),
inference(instantiation,[status(thm)],[3]) ).
cnf(7,plain,
divide(X0,identity) = zero,
inference(cnf,[status(esa)],[everything_divide_id_is_zero]) ).
cnf(l1123,plain,
divide(divide(divide(a,c),divide(zero,X0_2585)),identity) = zero,
inference(instantiation,[status(thm)],[7]) ).
cnf(l1213,plain,
divide(zero,c) = zero,
inference(instantiation,[status(thm)],[8]) ).
cnf(l2590,plain,
less_equal(zero,c),
inference(instantiation,[status(thm)],[4]) ).
cnf(l2577,plain,
less_equal(divide(divide(divide(a,c),divide(zero,X0_2585)),identity),divide(divide(a,c),divide(zero,X0_2585))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l915,plain,
( ~ less_equal(a,b)
| divide(a,b) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
less_equal(a,b),
inference(cnf,[status(esa)],[a_LE_b]) ).
cnf(l1017,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[9]) ).
cnf(l1009,plain,
( ~ less_equal(b,c)
| divide(b,c) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(10,plain,
less_equal(b,c),
inference(cnf,[status(esa)],[b_LE_c]) ).
cnf(l1035,plain,
less_equal(b,c),
inference(instantiation,[status(thm)],[10]) ).
cnf(l39,plain,
( ~ less_equal(divide(zero,divide(divide(a,c),divide(zero,X0_322))),zero)
| ~ less_equal(zero,divide(zero,divide(divide(a,c),divide(zero,X0_322))))
| divide(zero,divide(divide(a,c),divide(zero,X0_322))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l47,plain,
less_equal(divide(zero,divide(divide(a,c),divide(zero,X0_322))),zero),
inference(instantiation,[status(thm)],[2]) ).
cnf(l322,plain,
divide(zero,X0_322) = zero,
inference(instantiation,[status(thm)],[8]) ).
cnf(l50,plain,
less_equal(zero,divide(zero,divide(divide(a,c),divide(zero,X0_322)))),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l5,l13,l2567,l609,l2568,l2570,l2588,l2585,l2587,l2605,l1123,l1213,l2590,l2577,l915,l1017,l1009,l1035,l39,l47,l322,l50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HEN005-6 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 17:33:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 4
% 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
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.19/0.40 % launching worker at depth: 12
% 2.31/0.65 % launching worker at depth: 13
% 20.57/2.95 % launching worker at depth: 14
% 167.55/21.49 % launching worker at depth: 15
% 252.19/32.13 % SZS status Theorem for theBenchmark
% 252.19/32.13 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------