%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN009-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:45:29 PM UTC 2026
% Result : Unsatisfiable 3.09s 0.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN009-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:51:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 3.09/0.85 % Refutation found
% 3.09/0.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.09/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.09/0.85 fof(f6,axiom,(
% 3.09/0.85 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 3.09/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.09/0.85 fof(f7,axiom,(
% 3.09/0.85 (![X]: (less_equal(X,identity) ))),
% 3.09/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.09/0.85 fof(f13,axiom,(
% 3.09/0.85 (![X,Y,Z]: (( ~ less_equal(divide(X,Y),Z)| less_equal(divide(X,Z),Y) ) ))),
% 3.09/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.09/0.85 fof(f14,axiom,(
% 3.09/0.85 (![X,Y,Z]: (( ~ less_equal(X,Y)| less_equal(divide(Z,Y),divide(Z,X)) ) ))),
% 3.09/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.09/0.85 fof(f15,axiom,(
% 3.09/0.85 (![X,Y,Z]: (( ~ less_equal(X,Y)| less_equal(divide(X,Z),divide(Y,Z)) ) ))),
% 3.09/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.09/0.85 fof(f16,negated_conjecture,(
% 3.09/0.85 divide(identity,a) != divide(identity,divide(identity,divide(identity,a))) ),
% 3.09/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.09/0.85 fof(f22,plain,(
% 3.09/0.85 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 3.09/0.85 inference(cnf_transformation,[status(thm)],[f6])).
% 3.09/0.85 fof(f23,plain,(
% 3.09/0.85 ![X0]: (less_equal(X0,identity))),
% 3.09/0.85 inference(cnf_transformation,[status(thm)],[f7])).
% 3.09/0.85 fof(f30,plain,(
% 3.09/0.85 ![X0,X1,X2]: (~less_equal(divide(X0,X1),X2)|less_equal(divide(X0,X2),X1))),
% 3.09/0.85 inference(cnf_transformation,[status(thm)],[f13])).
% 3.09/0.85 fof(f31,plain,(
% 3.09/0.85 ![X,Y]: (~less_equal(X,Y)|(![Z]: less_equal(divide(Z,Y),divide(Z,X))))),
% 3.09/0.85 inference(miniscoping,[status(thm)],[f14])).
% 3.09/0.85 fof(f32,plain,(
% 3.09/0.85 ![X0,X1,X2]: (~less_equal(X0,X1)|less_equal(divide(X2,X1),divide(X2,X0)))),
% 3.09/0.85 inference(cnf_transformation,[status(thm)],[f31])).
% 3.09/0.85 fof(f33,plain,(
% 3.09/0.85 ![X,Y]: (~less_equal(X,Y)|(![Z]: less_equal(divide(X,Z),divide(Y,Z))))),
% 3.09/0.85 inference(miniscoping,[status(thm)],[f15])).
% 3.09/0.85 fof(f34,plain,(
% 3.09/0.85 ![X0,X1,X2]: (~less_equal(X0,X1)|less_equal(divide(X0,X2),divide(X1,X2)))),
% 3.09/0.85 inference(cnf_transformation,[status(thm)],[f33])).
% 3.09/0.85 fof(f35,plain,(
% 3.09/0.85 ~divide(identity,a)=divide(identity,divide(identity,divide(identity,a)))),
% 3.09/0.85 inference(cnf_transformation,[status(thm)],[f16])).
% 3.09/0.85 fof(f115,plain,(
% 3.09/0.85 ![X0,X1,X2]: (~less_equal(divide(X0,X1),X2)|~less_equal(X1,divide(X0,X2))|X1=divide(X0,X2))),
% 3.09/0.85 inference(resolution,[status(thm)],[f30,f22])).
% 3.09/0.85 fof(f125,plain,(
% 3.09/0.85 ![X0,X1,X2,X3]: (less_equal(divide(X0,X1),divide(X0,divide(X2,X3)))|~less_equal(divide(X2,X1),X3))),
% 3.09/0.85 inference(resolution,[status(thm)],[f32,f30])).
% 3.09/0.85 fof(f137,plain,(
% 3.09/0.85 ![X0,X1]: (less_equal(divide(X0,X1),divide(identity,X1)))),
% 3.09/0.85 inference(resolution,[status(thm)],[f34,f23])).
% 3.09/0.85 fof(f1361,plain,(
% 3.09/0.85 ![X0,X1]: (~less_equal(X0,divide(X1,divide(identity,X0)))|X0=divide(X1,divide(identity,X0)))),
% 3.09/0.85 inference(resolution,[status(thm)],[f115,f137])).
% 3.09/0.85 fof(f1586,plain,(
% 3.09/0.85 ![X0,X1,X2]: (less_equal(divide(X0,X1),divide(X0,divide(X2,divide(identity,X1)))))),
% 3.09/0.85 inference(resolution,[status(thm)],[f125,f137])).
% 3.09/0.85 fof(f3034,plain,(
% 3.09/0.85 ![X0]: (divide(identity,X0)=divide(identity,divide(identity,divide(identity,X0))))),
% 3.09/0.85 inference(resolution,[status(thm)],[f1586,f1361])).
% 3.09/0.85 fof(f3071,plain,(
% 3.09/0.85 ~divide(identity,a)=divide(identity,a)),
% 3.09/0.85 inference(backward_demodulation,[status(thm)],[f3034,f35])).
% 3.09/0.85 fof(f3091,plain,(
% 3.09/0.85 $false),
% 3.09/0.85 inference(trivial_equality_resolution,[status(thm)],[f3071])).
% 3.09/0.85 % SZS output end CNFRefutation for theBenchmark.p
% 3.09/0.87 % Elapsed time: 0.482711 seconds
% 3.09/0.87 % CPU time: 3.535182 seconds
% 3.09/0.87 % Total memory used: 104.529 MB
% 3.09/0.87 % Net memory used: 98.156 MB
%------------------------------------------------------------------------------