%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:45:28 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:45:58 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.51 % Refutation found
% 0.08/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.51 fof(f1,axiom,(
% 0.08/0.51 (![X,Y]: (divide(divide(X,Y),X) = zero ))),
% 0.08/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.51 fof(f2,axiom,(
% 0.08/0.51 (![X,Z,Y]: (divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ))),
% 0.08/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.51 fof(f3,axiom,(
% 0.08/0.51 (![X]: (divide(zero,X) = zero ))),
% 0.08/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.51 fof(f4,axiom,(
% 0.08/0.51 (![X,Y]: (( divide(X,Y) != zero| divide(Y,X) != zero| X = Y ) ))),
% 0.08/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.51 fof(f7,hypothesis,(
% 0.08/0.51 divide(a,b) = zero ),
% 0.08/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.51 fof(f8,negated_conjecture,(
% 0.08/0.51 divide(divide(c,b),divide(c,a)) != zero ),
% 0.08/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.51 fof(f9,plain,(
% 0.08/0.51 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.08/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.51 fof(f10,plain,(
% 0.08/0.51 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 0.08/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.51 fof(f11,plain,(
% 0.08/0.51 ![X0]: (divide(zero,X0)=zero)),
% 0.08/0.51 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.51 fof(f12,plain,(
% 0.08/0.51 ![X0,X1]: (~divide(X0,X1)=zero|~divide(X1,X0)=zero|X0=X1)),
% 0.08/0.51 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.51 fof(f16,plain,(
% 0.08/0.51 divide(a,b)=zero),
% 0.08/0.51 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.51 fof(f17,plain,(
% 0.08/0.51 ~divide(divide(c,b),divide(c,a))=zero),
% 0.08/0.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.51 fof(f21,plain,(
% 0.08/0.51 ![X0,X1]: (~divide(X0,divide(X0,X1))=zero|X0=divide(X0,X1))),
% 0.08/0.51 inference(resolution,[status(thm)],[f12,f9])).
% 0.08/0.51 fof(f23,plain,(
% 0.08/0.51 ![X0]: (~divide(X0,zero)=zero|X0=zero)),
% 0.08/0.51 inference(resolution,[status(thm)],[f12,f11])).
% 0.08/0.51 fof(f34,plain,(
% 0.08/0.51 ![X0,X1,X2]: (~divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))=zero|divide(divide(X0,X1),X2)=divide(divide(X0,X2),divide(X1,X2)))),
% 0.08/0.51 inference(resolution,[status(thm)],[f10,f12])).
% 0.08/0.51 fof(f43,plain,(
% 0.08/0.51 ![X0,X1]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1))=zero)),
% 0.08/0.51 inference(paramodulation,[status(thm)],[f11,f10])).
% 0.08/0.51 fof(f45,plain,(
% 0.08/0.51 ![X0,X1]: (divide(divide(divide(X0,X0),divide(X1,X0)),zero)=zero)),
% 0.08/0.51 inference(paramodulation,[status(thm)],[f9,f10])).
% 0.08/0.51 fof(f70,plain,(
% 0.08/0.51 ![X0,X1]: (divide(divide(X0,X0),divide(X1,X0))=zero)),
% 0.08/0.51 inference(resolution,[status(thm)],[f45,f23])).
% 0.08/0.51 fof(f96,plain,(
% 0.08/0.51 ![X0]: (divide(X0,X0)=divide(divide(X0,X0),X0))),
% 0.08/0.51 inference(resolution,[status(thm)],[f70,f21])).
% 0.08/0.51 fof(f117,plain,(
% 0.08/0.51 ![X0]: (divide(X0,X0)=zero)),
% 0.08/0.51 inference(forward_demodulation,[status(thm)],[f9,f96])).
% 0.08/0.51 fof(f146,plain,(
% 0.08/0.51 ![X0,X1]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,X1),X1))=zero)),
% 0.08/0.51 inference(paramodulation,[status(thm)],[f117,f10])).
% 0.08/0.51 fof(f240,plain,(
% 0.08/0.51 ![X0,X1,X2]: (~divide(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0)))=zero|divide(divide(divide(X1,X2),X1),X0)=divide(divide(divide(X1,X2),X0),divide(X1,X0)))),
% 0.08/0.51 inference(paramodulation,[status(thm)],[f9,f34])).
% 0.08/0.51 fof(f255,plain,(
% 0.08/0.51 ![X0]: (~divide(divide(divide(X0,a),b),divide(divide(X0,b),zero))=zero|divide(divide(X0,a),b)=divide(divide(X0,b),divide(a,b)))),
% 0.08/0.51 inference(paramodulation,[status(thm)],[f16,f34])).
% 0.08/0.51 fof(f284,plain,(
% 0.08/0.51 ![X0,X1,X2]: (~divide(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))=zero|divide(divide(divide(X0,X1),X0),X2)=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.08/0.51 inference(forward_demodulation,[status(thm)],[f11,f240])).
% 0.08/0.51 fof(f285,plain,(
% 0.08/0.51 ![X0,X1,X2]: (~zero=zero|divide(divide(divide(X0,X1),X0),X2)=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.08/0.51 inference(forward_demodulation,[status(thm)],[f11,f284])).
% 0.08/0.51 fof(f286,plain,(
% 0.08/0.51 ![X0,X1,X2]: (~zero=zero|divide(zero,X0)=divide(divide(divide(X1,X2),X0),divide(X1,X0)))),
% 0.08/0.51 inference(forward_demodulation,[status(thm)],[f9,f285])).
% 0.08/0.51 fof(f287,plain,(
% 0.08/0.51 ![X0,X1,X2]: (~zero=zero|zero=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.08/0.51 inference(forward_demodulation,[status(thm)],[f11,f286])).
% 0.08/0.52 fof(f289,plain,(
% 0.08/0.52 ![X0,X1,X2]: (zero=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 0.08/0.52 inference(trivial_equality_resolution,[status(thm)],[f287])).
% 0.08/0.52 fof(f340,plain,(
% 0.08/0.52 ![X0]: (~divide(divide(divide(X0,a),b),divide(divide(X0,b),zero))=zero|divide(divide(X0,a),b)=divide(divide(X0,b),zero))),
% 0.08/0.52 inference(forward_demodulation,[status(thm)],[f16,f255])).
% 0.08/0.52 fof(f889,plain,(
% 0.08/0.52 ![X0,X1]: (~divide(zero,divide(divide(divide(X0,X1),divide(divide(X0,X1),X1)),divide(zero,divide(divide(X0,X1),X1))))=zero|divide(divide(divide(X0,X1),zero),divide(divide(X0,X1),X1))=divide(divide(divide(X0,X1),divide(divide(X0,X1),X1)),divide(zero,divide(divide(X0,X1),X1))))),
% 0.08/0.52 inference(paramodulation,[status(thm)],[f146,f34])).
% 0.08/0.52 fof(f949,plain,(
% 0.08/0.52 ![X0,X1]: (~zero=zero|divide(divide(divide(X0,X1),zero),divide(divide(X0,X1),X1))=divide(divide(divide(X0,X1),divide(divide(X0,X1),X1)),divide(zero,divide(divide(X0,X1),X1))))),
% 0.08/0.52 inference(forward_demodulation,[status(thm)],[f11,f889])).
% 0.08/0.52 fof(f950,plain,(
% 0.08/0.52 ![X0,X1]: (~zero=zero|zero=divide(divide(divide(X0,X1),divide(divide(X0,X1),X1)),divide(zero,divide(divide(X0,X1),X1))))),
% 0.08/0.52 inference(forward_demodulation,[status(thm)],[f146,f949])).
% 0.08/0.52 fof(f951,plain,(
% 0.08/0.52 ![X0,X1]: (~zero=zero|zero=divide(divide(divide(X0,X1),divide(divide(X0,X1),X1)),zero))),
% 0.08/0.52 inference(forward_demodulation,[status(thm)],[f11,f950])).
% 0.08/0.52 fof(f953,plain,(
% 0.08/0.52 ![X0,X1]: (zero=divide(divide(divide(X0,X1),divide(divide(X0,X1),X1)),zero))),
% 0.08/0.52 inference(trivial_equality_resolution,[status(thm)],[f951])).
% 0.08/0.52 fof(f1054,plain,(
% 0.08/0.52 ![X0,X1]: (divide(divide(X0,X1),divide(divide(X0,X1),X1))=zero)),
% 0.08/0.52 inference(resolution,[status(thm)],[f953,f23])).
% 0.08/0.52 fof(f1176,plain,(
% 0.08/0.52 ![X0,X1]: (divide(X0,X1)=divide(divide(X0,X1),X1))),
% 0.08/0.52 inference(resolution,[status(thm)],[f1054,f21])).
% 0.08/0.52 fof(f1486,plain,(
% 0.08/0.52 ![X0]: (divide(divide(divide(X0,divide(X0,zero)),zero),zero)=zero)),
% 0.08/0.52 inference(paramodulation,[status(thm)],[f117,f43])).
% 0.08/0.52 fof(f1543,plain,(
% 0.08/0.52 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 0.08/0.52 inference(forward_demodulation,[status(thm)],[f1176,f1486])).
% 0.08/0.52 fof(f1603,plain,(
% 0.08/0.52 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.08/0.52 inference(resolution,[status(thm)],[f1543,f23])).
% 0.08/0.52 fof(f1715,plain,(
% 0.08/0.52 ![X0]: (X0=divide(X0,zero))),
% 0.08/0.52 inference(resolution,[status(thm)],[f1603,f21])).
% 0.08/0.52 fof(f1788,plain,(
% 0.08/0.52 ![X0]: (~divide(divide(divide(X0,a),b),divide(divide(X0,b),zero))=zero|divide(divide(X0,a),b)=divide(X0,b))),
% 0.08/0.52 inference(backward_demodulation,[status(thm)],[f1715,f340])).
% 0.08/0.52 fof(f1961,plain,(
% 0.08/0.52 ![X0]: (~divide(divide(divide(X0,a),b),divide(X0,b))=zero|divide(divide(X0,a),b)=divide(X0,b))),
% 0.08/0.52 inference(forward_demodulation,[status(thm)],[f1715,f1788])).
% 0.08/0.52 fof(f1962,plain,(
% 0.08/0.52 ![X0]: (~zero=zero|divide(divide(X0,a),b)=divide(X0,b))),
% 0.08/0.52 inference(forward_demodulation,[status(thm)],[f289,f1961])).
% 0.08/0.52 fof(f1965,plain,(
% 0.08/0.52 ![X0]: (divide(divide(X0,a),b)=divide(X0,b))),
% 0.08/0.52 inference(trivial_equality_resolution,[status(thm)],[f1962])).
% 0.08/0.52 fof(f2547,plain,(
% 0.08/0.52 ![X0]: (divide(divide(X0,b),divide(X0,a))=zero)),
% 0.08/0.52 inference(paramodulation,[status(thm)],[f1965,f9])).
% 0.08/0.52 fof(f2562,plain,(
% 0.08/0.52 ~zero=zero),
% 0.08/0.52 inference(backward_demodulation,[status(thm)],[f2547,f17])).
% 0.08/0.52 fof(f2563,plain,(
% 0.08/0.52 $false),
% 0.08/0.52 inference(trivial_equality_resolution,[status(thm)],[f2562])).
% 0.08/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.53 % Elapsed time: 0.159760 seconds
% 0.08/0.53 % CPU time: 0.964937 seconds
% 0.08/0.53 % Total memory used: 83.364 MB
% 0.08/0.53 % Net memory used: 82.004 MB
%------------------------------------------------------------------------------