%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN004-3 : 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 : n011.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 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN004-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n011.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 20:45:40 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,axiom,(
% 0.11/0.38 (![X]: (less_equal(zero,X) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,axiom,(
% 0.11/0.38 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,negated_conjecture,(
% 0.11/0.38 divide(a,zero) != a ),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f9,plain,(
% 0.11/0.38 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.38 fof(f10,plain,(
% 0.11/0.38 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.38 fof(f11,plain,(
% 0.11/0.38 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.38 fof(f12,plain,(
% 0.11/0.38 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f13,plain,(
% 0.11/0.38 ![X0]: (less_equal(zero,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f14,plain,(
% 0.11/0.38 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ~divide(a,zero)=a),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.38 fof(f17,plain,(
% 0.11/0.38 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f9,f11])).
% 0.11/0.38 fof(f18,plain,(
% 0.11/0.38 ![X0]: (divide(zero,X0)=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f9,f13])).
% 0.11/0.38 fof(f31,plain,(
% 0.11/0.38 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f14,f11])).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f14,f13])).
% 0.11/0.38 fof(f37,plain,(
% 0.11/0.38 ![X0]: (X0=zero|~divide(X0,zero)=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f32,f10])).
% 0.11/0.38 fof(f38,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))|divide(divide(X0,X1),X2)=divide(divide(X0,X2),divide(X1,X2)))),
% 0.11/0.38 inference(resolution,[status(thm)],[f12,f14])).
% 0.11/0.38 fof(f45,plain,(
% 0.11/0.38 ![X0,X1]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f18,f12])).
% 0.11/0.38 fof(f79,plain,(
% 0.11/0.38 ![X0,X1]: (X0=divide(X0,X1)|~divide(X0,divide(X0,X1))=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f31,f10])).
% 0.11/0.38 fof(f91,plain,(
% 0.11/0.38 ![X0,X1]: (~less_equal(zero,divide(divide(X0,X0),divide(X1,X0)))|divide(divide(X0,X1),X0)=divide(divide(X0,X0),divide(X1,X0)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f17,f38])).
% 0.11/0.38 fof(f103,plain,(
% 0.11/0.38 ![X0,X1]: (~less_equal(zero,divide(divide(X0,X0),divide(X1,X0)))|zero=divide(divide(X0,X0),divide(X1,X0)))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f17,f91])).
% 0.11/0.38 fof(f104,plain,(
% 0.11/0.38 ![X0,X1]: (zero=divide(divide(X0,X0),divide(X1,X0)))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f103,f13])).
% 0.11/0.38 fof(f151,plain,(
% 0.11/0.38 ![X0]: (zero=divide(divide(X0,X0),zero))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f17,f104])).
% 0.11/0.38 fof(f184,plain,(
% 0.11/0.38 ![X0]: (divide(X0,X0)=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f151,f37])).
% 0.11/0.38 fof(f560,plain,(
% 0.11/0.38 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f184,f45])).
% 0.11/0.38 fof(f797,plain,(
% 0.11/0.38 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f560,f32])).
% 0.11/0.38 fof(f818,plain,(
% 0.11/0.38 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f797,f37])).
% 0.11/0.38 fof(f1045,plain,(
% 0.11/0.38 ![X0]: (X0=divide(X0,zero))),
% 0.11/0.38 inference(resolution,[status(thm)],[f818,f79])).
% 0.11/0.38 fof(f1145,plain,(
% 0.11/0.38 ~a=a),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f1045,f16])).
% 0.11/0.38 fof(f1187,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(trivial_equality_resolution,[status(thm)],[f1145])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.050768 seconds
% 0.11/0.40 % CPU time: 0.183890 seconds
% 0.11/0.40 % Total memory used: 46.921 MB
% 0.11/0.40 % Net memory used: 46.308 MB
%------------------------------------------------------------------------------