%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN006-5 : 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 : n012.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 0.08s 0.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HEN006-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 20 20:45:53 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.08/0.33 % Refutation found
% 0.08/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.33 fof(f1,axiom,(
% 0.08/0.33 (![X,Y]: (divide(divide(X,Y),X) = zero ))),
% 0.08/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.33 fof(f2,axiom,(
% 0.08/0.33 (![X,Z,Y]: (divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ))),
% 0.08/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.33 fof(f3,axiom,(
% 0.08/0.33 (![X]: (divide(zero,X) = zero ))),
% 0.08/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.33 fof(f6,axiom,(
% 0.08/0.33 (![X]: (divide(X,zero) = X ))),
% 0.08/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.33 fof(f7,hypothesis,(
% 0.08/0.33 divide(divide(a,b),d) = zero ),
% 0.08/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.33 fof(f8,negated_conjecture,(
% 0.08/0.33 divide(divide(a,d),b) != zero ),
% 0.08/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.33 fof(f9,plain,(
% 0.08/0.33 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.08/0.33 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.33 fof(f10,plain,(
% 0.08/0.33 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 0.08/0.33 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.33 fof(f11,plain,(
% 0.08/0.33 ![X0]: (divide(zero,X0)=zero)),
% 0.08/0.33 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.33 fof(f14,plain,(
% 0.08/0.33 ![X0]: (divide(X0,zero)=X0)),
% 0.08/0.33 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.33 fof(f15,plain,(
% 0.08/0.33 divide(divide(a,b),d)=zero),
% 0.08/0.33 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.33 fof(f16,plain,(
% 0.08/0.33 ~divide(divide(a,d),b)=zero),
% 0.08/0.33 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.33 fof(f40,plain,(
% 0.08/0.33 ![X0,X1,X2]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 0.08/0.33 inference(paramodulation,[status(thm)],[f9,f10])).
% 0.08/0.33 fof(f45,plain,(
% 0.08/0.33 divide(divide(divide(a,d),divide(b,d)),zero)=zero),
% 0.08/0.33 inference(paramodulation,[status(thm)],[f15,f10])).
% 0.08/0.33 fof(f65,plain,(
% 0.08/0.33 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 0.08/0.33 inference(forward_demodulation,[status(thm)],[f14,f40])).
% 0.08/0.33 fof(f72,plain,(
% 0.08/0.33 divide(divide(a,d),divide(b,d))=zero),
% 0.08/0.33 inference(forward_demodulation,[status(thm)],[f14,f45])).
% 0.08/0.33 fof(f1472,plain,(
% 0.08/0.33 divide(divide(divide(a,d),b),divide(zero,b))=zero),
% 0.08/0.33 inference(paramodulation,[status(thm)],[f72,f65])).
% 0.08/0.33 fof(f1550,plain,(
% 0.08/0.33 divide(divide(divide(a,d),b),zero)=zero),
% 0.08/0.33 inference(forward_demodulation,[status(thm)],[f11,f1472])).
% 0.08/0.33 fof(f1551,plain,(
% 0.08/0.33 divide(divide(a,d),b)=zero),
% 0.08/0.33 inference(forward_demodulation,[status(thm)],[f14,f1550])).
% 0.08/0.33 fof(f1552,plain,(
% 0.08/0.33 $false),
% 0.08/0.33 inference(forward_subsumption_resolution,[status(thm)],[f1551,f16])).
% 0.08/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.34 % Elapsed time: 0.028158 seconds
% 0.08/0.34 % CPU time: 0.100744 seconds
% 0.08/0.34 % Total memory used: 20.076 MB
% 0.08/0.34 % Net memory used: 19.919 MB
%------------------------------------------------------------------------------