%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN008-6 : 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 : n032.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 18.51s 2.63s
% Output : CNFRefutation 18.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_divide_c_LE_b_divide_c)
% Comments :
%------------------------------------------------------------------------------
cnf(11,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)],[11]) ).
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(l3,plain,
( ~ less_equal(zero,divide(divide(a,c),divide(b,c)))
| ~ less_equal(divide(divide(a,c),divide(b,c)),zero)
| zero = divide(divide(a,c),divide(b,c)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_divide_anything_is_zero]) ).
cnf(l7,plain,
divide(zero,c) = zero,
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
less_equal(zero,X0),
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l6,plain,
less_equal(zero,divide(divide(a,c),divide(b,c))),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l348,plain,
less_equal(divide(divide(a,c),divide(b,c)),divide(divide(a,b),c)),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(cnf,[status(esa)],[quotient_less_equal1]) ).
cnf(l344,plain,
( ~ less_equal(a,b)
| divide(a,b) = zero ),
inference(instantiation,[status(thm)],[0]) ).
cnf(10,plain,
less_equal(a,b),
inference(cnf,[status(esa)],[a_LE_b]) ).
cnf(l360,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l6,l348,l344,l360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : HEN008-6 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 17:37:04 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % launching worker at depth: 2
% 0.08/0.28 % launching worker at depth: 5
% 0.08/0.28 % launching worker at depth: 1
% 0.08/0.28 % launching worker at depth: 3
% 0.08/0.28 % launching worker at depth: 4
% 0.08/0.28 % launching worker at depth: 6
% 0.08/0.28 % launching worker at depth: 7
% 0.08/0.28 % launching worker at depth: 8
% 0.08/0.28 % launching worker at depth: 9
% 0.08/0.28 % launching worker at depth: 10
% 0.08/0.29 % launching worker at depth: 11
% 0.12/0.32 % launching worker at depth: 12
% 4.68/0.91 % launching worker at depth: 13
% 18.51/2.63 % SZS status Theorem for theBenchmark
% 18.51/2.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------