%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN007-4 : 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 : n024.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 43.72s 5.81s
% Output : CNFRefutation 43.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_c_divide_b_LE_c_divide_a)
% Comments :
%------------------------------------------------------------------------------
cnf(14,plain,
~ less_equal(divide(c,b),divide(c,a)),
inference(cnf,[status(esa)],[prove_c_divide_b_LE_c_divide_a]) ).
cnf(l0,plain,
~ less_equal(divide(c,b),divide(c,a)),
inference(instantiation,[status(thm)],[14]) ).
cnf(12,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(cnf,[status(esa)],[property_of_divide1]) ).
cnf(l1,plain,
( ~ less_equal(divide(c,divide(c,a)),b)
| less_equal(divide(c,b),divide(c,a)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(11,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_less_equal]) ).
cnf(l2,plain,
( ~ less_equal(divide(c,divide(c,a)),a)
| ~ less_equal(a,b)
| less_equal(divide(c,divide(c,a)),b) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l4,plain,
( ~ less_equal(divide(c,a),divide(c,a))
| less_equal(divide(c,divide(c,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(l7,plain,
( divide(divide(c,a),divide(c,a)) != zero
| less_equal(divide(c,a),divide(c,a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(13,plain,
less_equal(a,b),
inference(cnf,[status(esa)],[a_LE_b]) ).
cnf(l49,plain,
less_equal(a,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(9,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l9,plain,
divide(divide(c,a),divide(c,a)) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l7,l49,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN007-4 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 17:35:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 3.08/0.72 % launching worker at depth: 12
% 43.72/5.81 % SZS status Theorem for theBenchmark
% 43.72/5.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------