%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN007-4 : 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 : n004.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 12:45:28 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:45:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f2,axiom,(
% 0.13/0.44 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f10,axiom,(
% 0.13/0.44 (![X]: (divide(X,X) = zero ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f12,axiom,(
% 0.13/0.44 (![X,Y,Z]: (( ~ less_equal(X,Y)| ~ less_equal(Y,Z)| less_equal(X,Z) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f13,axiom,(
% 0.13/0.44 (![X,Y,Z]: (( ~ less_equal(divide(X,Y),Z)| less_equal(divide(X,Z),Y) ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f14,hypothesis,(
% 0.13/0.44 less_equal(a,b) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f15,negated_conjecture,(
% 0.13/0.44 ~ less_equal(divide(c,b),divide(c,a)) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f17,plain,(
% 0.13/0.44 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.44 fof(f25,plain,(
% 0.13/0.44 ![X0]: (divide(X0,X0)=zero)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.44 fof(f27,plain,(
% 0.13/0.44 ![X,Z]: ((![Y]: (~less_equal(X,Y)|~less_equal(Y,Z)))|less_equal(X,Z))),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f12])).
% 0.13/0.44 fof(f28,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(X0,X1)|~less_equal(X1,X2)|less_equal(X0,X2))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.44 fof(f29,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~less_equal(divide(X0,X1),X2)|less_equal(divide(X0,X2),X1))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.44 fof(f30,plain,(
% 0.13/0.44 less_equal(a,b)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.44 fof(f31,plain,(
% 0.13/0.44 ~less_equal(divide(c,b),divide(c,a))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.44 fof(f48,plain,(
% 0.13/0.44 ![X0]: (less_equal(X0,X0))),
% 0.13/0.44 inference(resolution,[status(thm)],[f17,f25])).
% 0.13/0.44 fof(f172,plain,(
% 0.13/0.44 ![X0]: (~less_equal(X0,a)|less_equal(X0,b))),
% 0.13/0.44 inference(resolution,[status(thm)],[f28,f30])).
% 0.13/0.44 fof(f208,plain,(
% 0.13/0.44 ![X0,X1]: (less_equal(divide(X0,divide(X0,X1)),X1))),
% 0.13/0.44 inference(resolution,[status(thm)],[f29,f48])).
% 0.13/0.44 fof(f224,plain,(
% 0.13/0.44 ![X0]: (less_equal(divide(X0,divide(X0,a)),b))),
% 0.13/0.44 inference(resolution,[status(thm)],[f208,f172])).
% 0.13/0.44 fof(f625,plain,(
% 0.13/0.44 ![X0]: (less_equal(divide(X0,b),divide(X0,a)))),
% 0.13/0.44 inference(resolution,[status(thm)],[f224,f29])).
% 0.13/0.44 fof(f1058,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f31,f625])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.084103 seconds
% 0.13/0.45 % CPU time: 0.429547 seconds
% 0.13/0.45 % Total memory used: 72.354 MB
% 0.13/0.45 % Net memory used: 71.603 MB
%------------------------------------------------------------------------------