%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN008-4 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 06:32:30 PM UTC 2025
% Result : Unsatisfiable 55.69s 7.35s
% Output : CNFRefutation 55.69s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_divide_c_LE_b_divide_c)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
~ less_equal(divide(a,c),divide(b,c)),
inference(cnf,[status(esa)],[prove_a_divide_c_LE_b_divide_c]) ).
cnf(l0,plain,
~ less_equal(divide(a,c),divide(b,c)),
inference(instantiation,[status(thm)],[15]) ).
cnf(1,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[quotient_less_equal2]) ).
cnf(l1,plain,
( divide(divide(a,c),divide(b,c)) != zero
| less_equal(divide(a,c),divide(b,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(divide(a,c),divide(b,c)),zero)
| ~ less_equal(zero,divide(divide(a,c),divide(b,c)))
| divide(divide(a,c),divide(b,c)) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(cnf,[status(esa)],[quotient_less_equal1]) ).
cnf(l10,plain,
( ~ less_equal(a,b)
| divide(a,b) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l8,plain,
divide(divide(divide(a,divide(b,c)),divide(c,divide(b,c))),divide(divide(a,divide(b,c)),divide(c,divide(b,c)))) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(14,plain,
less_equal(a,b),
inference(cnf,[status(esa)],[a_LE_b]) ).
cnf(l13,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(11,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_less_equal]) ).
cnf(l52,plain,
( ~ less_equal(divide(divide(divide(a,divide(b,c)),divide(c,divide(b,c))),divide(divide(a,divide(b,c)),divide(c,divide(b,c)))),divide(divide(a,divide(b,c)),divide(c,divide(b,c))))
| ~ less_equal(divide(divide(a,divide(b,c)),divide(c,divide(b,c))),divide(divide(a,c),divide(b,c)))
| less_equal(divide(divide(divide(a,divide(b,c)),divide(c,divide(b,c))),divide(divide(a,divide(b,c)),divide(c,divide(b,c)))),divide(divide(a,c),divide(b,c))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(2,plain,
less_equal(divide(X0,X1),X0),
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l53,plain,
less_equal(divide(divide(divide(a,divide(b,c)),divide(c,divide(b,c))),divide(divide(a,divide(b,c)),divide(c,divide(b,c)))),divide(divide(a,divide(b,c)),divide(c,divide(b,c)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l48,plain,
( ~ less_equal(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c))
| ~ less_equal(divide(divide(a,b),c),divide(a,b))
| less_equal(divide(divide(a,c),divide(b,c)),divide(a,b)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l49,plain,
less_equal(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)),
inference(instantiation,[status(thm)],[3]) ).
cnf(l51,plain,
less_equal(divide(divide(a,b),c),divide(a,b)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l54,plain,
less_equal(divide(divide(a,divide(b,c)),divide(c,divide(b,c))),divide(divide(a,c),divide(b,c))),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l10,l8,l13,l52,l53,l48,l49,l51,l54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN008-4 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 17:37:34 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.38 % launching worker at depth: 11
% 13.17/2.03 % launching worker at depth: 12
% 55.69/7.35 % SZS status Theorem for theBenchmark
% 55.69/7.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------