%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN005-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:45:27 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN005-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.38 % Computer : n026.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Sun Sep 20 20:48:32 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.39 % Drodi V4.1.1
% 0.15/10.43 % Refutation found
% 0.15/10.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.43 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.43 fof(f2,axiom,(
% 0.15/10.43 (![X,Z,Y]: (divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ))),
% 0.15/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.43 fof(f3,axiom,(
% 0.15/10.43 (![X]: (divide(zero,X) = zero ))),
% 0.15/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.43 fof(f4,axiom,(
% 0.15/10.43 (![X,Y]: (( divide(X,Y) != zero| divide(Y,X) != zero| X = Y ) ))),
% 0.15/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.43 fof(f6,hypothesis,(
% 0.15/10.43 divide(a,b) = zero ),
% 0.15/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.43 fof(f7,hypothesis,(
% 0.15/10.43 divide(b,c) = zero ),
% 0.15/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.43 fof(f8,negated_conjecture,(
% 0.15/10.43 divide(a,c) != zero ),
% 0.15/10.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.43 fof(f10,plain,(
% 0.15/10.43 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 0.15/10.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.43 fof(f11,plain,(
% 0.15/10.43 ![X0]: (divide(zero,X0)=zero)),
% 0.15/10.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/10.43 fof(f12,plain,(
% 0.15/10.43 ![X0,X1]: (~divide(X0,X1)=zero|~divide(X1,X0)=zero|X0=X1)),
% 0.15/10.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/10.43 fof(f14,plain,(
% 0.15/10.43 divide(a,b)=zero),
% 0.15/10.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/10.43 fof(f15,plain,(
% 0.15/10.43 divide(b,c)=zero),
% 0.15/10.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.43 fof(f16,plain,(
% 0.15/10.43 ~divide(a,c)=zero),
% 0.15/10.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/10.43 fof(f25,plain,(
% 0.15/10.43 ![X0]: (~divide(X0,zero)=zero|X0=zero)),
% 0.15/10.43 inference(resolution,[status(thm)],[f12,f11])).
% 0.15/10.43 fof(f56,plain,(
% 0.15/10.43 ![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)))),
% 0.15/10.43 inference(resolution,[status(thm)],[f10,f12])).
% 0.15/10.43 fof(f161,plain,(
% 0.15/10.43 ![X0]: (~divide(divide(zero,X0),divide(divide(a,X0),divide(b,X0)))=zero|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/10.43 inference(paramodulation,[status(thm)],[f14,f56])).
% 0.15/10.43 fof(f196,plain,(
% 0.15/10.43 ![X0]: (~divide(zero,divide(divide(a,X0),divide(b,X0)))=zero|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/10.43 inference(forward_demodulation,[status(thm)],[f11,f161])).
% 0.15/10.43 fof(f197,plain,(
% 0.15/10.43 ![X0]: (~zero=zero|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/10.43 inference(forward_demodulation,[status(thm)],[f11,f196])).
% 0.15/10.43 fof(f198,plain,(
% 0.15/10.43 ![X0]: (~zero=zero|divide(zero,X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/10.43 inference(forward_demodulation,[status(thm)],[f14,f197])).
% 0.15/10.43 fof(f199,plain,(
% 0.15/10.43 ![X0]: (~zero=zero|zero=divide(divide(a,X0),divide(b,X0)))),
% 0.15/10.43 inference(forward_demodulation,[status(thm)],[f11,f198])).
% 0.15/10.43 fof(f201,plain,(
% 0.15/10.43 ![X0]: (zero=divide(divide(a,X0),divide(b,X0)))),
% 0.15/10.43 inference(trivial_equality_resolution,[status(thm)],[f199])).
% 0.15/10.43 fof(f909,plain,(
% 0.15/10.43 zero=divide(divide(a,c),zero)),
% 0.15/10.43 inference(paramodulation,[status(thm)],[f15,f201])).
% 0.15/10.43 fof(f977,plain,(
% 0.15/10.43 divide(a,c)=zero),
% 0.15/10.43 inference(resolution,[status(thm)],[f909,f25])).
% 0.15/10.43 fof(f1002,plain,(
% 0.15/10.43 $false),
% 0.15/10.43 inference(forward_subsumption_resolution,[status(thm)],[f977,f16])).
% 0.15/10.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.45 % Elapsed time: 0.061934 seconds
% 0.15/10.45 % CPU time: 0.253893 seconds
% 0.15/10.45 % Total memory used: 71.136 MB
% 0.15/10.45 % Net memory used: 70.613 MB
%------------------------------------------------------------------------------