%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN009-5 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 06:32:31 PM UTC 2025
% Result : Unsatisfiable 97.14s 12.51s
% Output : CNFRefutation 97.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
inference(cnf,[status(esa)],[divide_and_equal]) ).
cnf(l1,plain,
( divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) != zero
| divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) != zero
| divide(identity,a) = divide(identity,divide(identity,divide(identity,a))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(7,plain,
( divide(X0,X1) != zero
| divide(divide(X2,X1),divide(X2,X0)) = zero ),
inference(cnf,[status(esa)],[property_of_divide2]) ).
cnf(l2,plain,
( divide(divide(identity,divide(identity,a)),a) != zero
| divide(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) = zero ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l4,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)),divide(divide(identity,identity),divide(identity,a))) != zero
| divide(divide(divide(identity,identity),divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))) != zero
| divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) = divide(divide(identity,identity),divide(identity,a)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l19,plain,
( divide(divide(divide(identity,identity),divide(identity,a)),zero) != zero
| divide(zero,divide(divide(identity,identity),divide(identity,a))) != zero
| divide(divide(identity,identity),divide(identity,a)) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( divide(X0,X1) != zero
| divide(X1,X2) != zero
| divide(X0,X2) = zero ),
inference(cnf,[status(esa)],[transitivity_of_divide_to_zero]) ).
cnf(l27,plain,
( divide(zero,divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))) != zero
| divide(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))),divide(divide(identity,identity),divide(identity,a))) != zero
| divide(zero,divide(divide(identity,identity),divide(identity,a))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l20,plain,
( divide(divide(divide(identity,identity),divide(identity,a)),divide(identity,identity)) != zero
| divide(divide(identity,identity),zero) != zero
| divide(divide(divide(identity,identity),divide(identity,a)),zero) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
divide(divide(X0,X1),X0) = zero,
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l21,plain,
divide(divide(divide(identity,identity),divide(identity,a)),divide(identity,identity)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( divide(divide(X0,X1),X2) != zero
| divide(divide(X0,X2),X1) = zero ),
inference(cnf,[status(esa)],[property_of_divide1]) ).
cnf(l23,plain,
( divide(divide(identity,zero),identity) != zero
| divide(divide(identity,identity),zero) = zero ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l5,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a))))) != zero
| divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),divide(divide(identity,identity),divide(identity,a))) != zero
| divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)),divide(divide(identity,identity),divide(identity,a))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l30,plain,
divide(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))),divide(divide(identity,identity),divide(identity,a))) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
divide(X0,identity) = zero,
inference(cnf,[status(esa)],[identity_is_largest]) ).
cnf(l26,plain,
divide(divide(identity,zero),identity) = zero,
inference(instantiation,[status(thm)],[4]) ).
cnf(l7,plain,
( divide(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,a)) != zero
| divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a))))) = zero ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l6,plain,
( divide(divide(divide(identity,identity),divide(identity,a)),divide(identity,identity)) != zero
| divide(divide(identity,identity),divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))) != zero
| divide(divide(divide(identity,identity),divide(identity,a)),divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l34,plain,
( divide(divide(identity,a),divide(identity,a)) != zero
| divide(divide(identity,divide(identity,a)),a) = zero ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
divide(zero,X0) = zero,
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l28,plain,
divide(zero,divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l16,plain,
( divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))) != zero
| divide(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))),divide(divide(identity,identity),divide(identity,a))) != zero
| divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),divide(divide(identity,identity),divide(identity,a))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l17,plain,
divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l35,plain,
( divide(divide(divide(identity,a),divide(identity,a)),zero) != zero
| divide(zero,divide(divide(identity,a),divide(identity,a))) != zero
| divide(divide(identity,a),divide(identity,a)) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l11,plain,
divide(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,a)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
divide(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))),divide(divide(identity,identity),divide(identity,a))) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
divide(divide(divide(identity,identity),divide(identity,a)),divide(identity,identity)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l38,plain,
( divide(divide(zero,divide(divide(identity,a),divide(identity,a))),zero) != zero
| divide(zero,divide(zero,divide(divide(identity,a),divide(identity,a)))) != zero
| divide(zero,divide(divide(identity,a),divide(identity,a))) = zero ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
( divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))),identity) != zero
| divide(divide(identity,identity),divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))) = zero ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l40,plain,
divide(zero,divide(zero,divide(divide(identity,a),divide(identity,a)))) = zero,
inference(instantiation,[status(thm)],[2]) ).
cnf(l41,plain,
divide(divide(zero,divide(divide(identity,a),divide(identity,a))),zero) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
( divide(divide(divide(identity,a),zero),divide(identity,a)) != zero
| divide(divide(divide(identity,a),divide(identity,a)),zero) = zero ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l15,plain,
divide(divide(identity,divide(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))),identity) = zero,
inference(instantiation,[status(thm)],[4]) ).
cnf(l39,plain,
divide(divide(divide(identity,a),zero),divide(identity,a)) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l19,l27,l20,l21,l23,l5,l30,l26,l7,l6,l34,l28,l16,l17,l35,l11,l18,l8,l38,l13,l40,l41,l36,l15,l39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : HEN009-5 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 17:38:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 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: 2
% 0.12/0.33 % launching worker at depth: 4
% 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
% 0.19/0.47 % launching worker at depth: 12
% 12.31/1.92 % launching worker at depth: 13
% 97.14/12.51 % SZS status Theorem for theBenchmark
% 97.14/12.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------