%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN011-5 : 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 : n018.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 06:32:32 PM UTC 2025
% Result : Unsatisfiable 189.63s 24.10s
% Output : CNFRefutation 189.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(13,plain,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
inference(instantiation,[status(thm)],[13]) ).
cnf(3,plain,
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
inference(cnf,[status(esa)],[divide_and_equal]) ).
cnf(l3,plain,
( divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) != zero
| divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) != zero
| divide(divide(identity,b),divide(identity,divide(identity,a))) = divide(divide(identity,a),divide(identity,divide(identity,b))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(7,plain,
( divide(X0,X1) != zero
| divide(X1,X2) != zero
| divide(X0,X2) = zero ),
inference(cnf,[status(esa)],[transitivity_of_divide_to_zero]) ).
cnf(l49,plain,
( divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),a)) != zero
| divide(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a)))) != zero
| divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) = zero ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l52,plain,
( divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,a),divide(divide(identity,divide(identity,b)),a))) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,b)),a)),divide(divide(identity,b),a)) != zero
| divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),a)) = zero ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l11,plain,
( divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),b)) != zero
| divide(divide(divide(identity,a),b),divide(divide(identity,a),divide(identity,divide(identity,b)))) != zero
| divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) = zero ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l28,plain,
( divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,b),divide(divide(identity,divide(identity,a)),b))) != zero
| divide(divide(divide(identity,b),divide(divide(identity,divide(identity,a)),b)),divide(divide(identity,a),b)) != zero
| divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),b)) = zero ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
( divide(X0,X1) != zero
| divide(divide(X2,X1),divide(X2,X0)) = zero ),
inference(cnf,[status(esa)],[property_of_divide2]) ).
cnf(l53,plain,
( divide(divide(divide(identity,divide(identity,b)),a),divide(identity,divide(identity,b))) != zero
| divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,a),divide(divide(identity,divide(identity,b)),a))) = zero ),
inference(instantiation,[status(thm)],[9]) ).
cnf(8,plain,
( divide(divide(X0,X1),X2) != zero
| divide(divide(X0,X2),X1) = zero ),
inference(cnf,[status(esa)],[property_of_divide1]) ).
cnf(l37,plain,
( divide(divide(divide(identity,b),divide(divide(identity,a),b)),divide(divide(identity,divide(identity,a)),b)) != zero
| divide(divide(divide(identity,b),divide(divide(identity,divide(identity,a)),b)),divide(divide(identity,a),b)) = zero ),
inference(instantiation,[status(thm)],[8]) ).
cnf(1,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l39,plain,
divide(divide(divide(identity,b),divide(divide(identity,a),b)),divide(divide(identity,divide(identity,a)),b)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(l57,plain,
( divide(divide(divide(identity,a),divide(divide(identity,b),a)),divide(divide(identity,divide(identity,b)),a)) != zero
| divide(divide(divide(identity,a),divide(divide(identity,divide(identity,b)),a)),divide(divide(identity,b),a)) = zero ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l50,plain,
( divide(divide(identity,divide(identity,a)),a) != zero
| divide(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a)))) = zero ),
inference(instantiation,[status(thm)],[9]) ).
cnf(0,plain,
divide(divide(X0,X1),X0) = zero,
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l56,plain,
divide(divide(divide(identity,divide(identity,b)),a),divide(identity,divide(identity,b))) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(l20,plain,
( divide(divide(identity,divide(identity,b)),b) != zero
| divide(divide(divide(identity,a),b),divide(divide(identity,a),divide(identity,divide(identity,b)))) = zero ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l51,plain,
( divide(divide(identity,a),divide(identity,a)) != zero
| divide(divide(identity,divide(identity,a)),a) = zero ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l25,plain,
( divide(divide(identity,b),divide(identity,b)) != zero
| divide(divide(identity,divide(identity,b)),b) = zero ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l58,plain,
divide(divide(divide(identity,a),divide(divide(identity,b),a)),divide(divide(identity,divide(identity,b)),a)) = zero,
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l55,plain,
divide(divide(identity,a),divide(identity,a)) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l31,plain,
( divide(divide(divide(identity,divide(identity,a)),b),divide(identity,divide(identity,a))) != zero
| divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,b),divide(divide(identity,divide(identity,a)),b))) = zero ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l29,plain,
divide(divide(identity,b),divide(identity,b)) = zero,
inference(instantiation,[status(thm)],[5]) ).
cnf(l32,plain,
divide(divide(divide(identity,divide(identity,a)),b),divide(identity,divide(identity,a))) = zero,
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l49,l52,l11,l28,l53,l37,l39,l57,l50,l56,l20,l51,l25,l58,l55,l31,l29,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : HEN011-5 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 17:41:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 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: 1
% 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
% 0.12/0.36 % launching worker at depth: 11
% 6.19/1.14 % launching worker at depth: 12
% 189.63/24.10 % SZS status Theorem for theBenchmark
% 189.63/24.10 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------