%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN004-5 : 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 : n001.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 12:45:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN004-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:51:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X,Y]: (divide(divide(X,Y),X) = zero ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X,Z,Y]: (divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X]: (divide(zero,X) = zero ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,axiom,(
% 0.14/0.40 (![X,Y]: (( divide(X,Y) != zero| divide(Y,X) != zero| X = Y ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,axiom,(
% 0.14/0.40 (![X]: (divide(X,X) = zero ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 divide(a,zero) != a ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,plain,(
% 0.14/0.40 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f9,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f10,plain,(
% 0.14/0.40 ![X0]: (divide(zero,X0)=zero)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 ![X0,X1]: (~divide(X0,X1)=zero|~divide(X1,X0)=zero|X0=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![X0]: (divide(X0,X0)=zero)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f14,plain,(
% 0.14/0.40 ~divide(a,zero)=a),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 ![X0,X1]: (~divide(X0,divide(X0,X1))=zero|X0=divide(X0,X1))),
% 0.14/0.40 inference(resolution,[status(thm)],[f11,f8])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ![X0]: (~divide(X0,zero)=zero|X0=zero)),
% 0.14/0.40 inference(resolution,[status(thm)],[f11,f10])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 ![X0,X1]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1))=zero)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f10,f9])).
% 0.14/0.40 fof(f326,plain,(
% 0.14/0.40 ![X0]: (divide(divide(divide(X0,divide(X0,zero)),zero),zero)=zero)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f13,f43])).
% 0.14/0.40 fof(f371,plain,(
% 0.14/0.40 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 0.14/0.40 inference(resolution,[status(thm)],[f326,f21])).
% 0.14/0.40 fof(f424,plain,(
% 0.14/0.40 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.14/0.40 inference(resolution,[status(thm)],[f371,f21])).
% 0.14/0.40 fof(f472,plain,(
% 0.14/0.40 ![X0]: (X0=divide(X0,zero))),
% 0.14/0.40 inference(resolution,[status(thm)],[f424,f20])).
% 0.14/0.40 fof(f500,plain,(
% 0.14/0.40 ~a=a),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f472,f14])).
% 0.14/0.40 fof(f551,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f500])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.057364 seconds
% 0.14/0.42 % CPU time: 0.225024 seconds
% 0.14/0.42 % Total memory used: 70.277 MB
% 0.14/0.42 % Net memory used: 69.730 MB
%------------------------------------------------------------------------------