%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN005-6 : 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 : n016.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 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN005-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:50:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,axiom,(
% 0.15/0.41 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,axiom,(
% 0.15/0.41 (![X]: (less_equal(zero,X) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f6,axiom,(
% 0.15/0.41 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f10,hypothesis,(
% 0.15/0.41 less_equal(a,b) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f11,hypothesis,(
% 0.15/0.41 less_equal(b,c) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f12,negated_conjecture,(
% 0.15/0.41 ~ less_equal(a,c) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f13,plain,(
% 0.15/0.41 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.41 fof(f14,plain,(
% 0.15/0.41 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f15,plain,(
% 0.15/0.41 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f16,plain,(
% 0.15/0.41 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.41 fof(f17,plain,(
% 0.15/0.41 ![X0]: (less_equal(zero,X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f18,plain,(
% 0.15/0.41 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.41 fof(f22,plain,(
% 0.15/0.41 less_equal(a,b)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.41 fof(f23,plain,(
% 0.15/0.41 less_equal(b,c)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.41 fof(f24,plain,(
% 0.15/0.41 ~less_equal(a,c)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.41 fof(f27,plain,(
% 0.15/0.41 divide(b,c)=zero),
% 0.15/0.41 inference(resolution,[status(thm)],[f13,f23])).
% 0.15/0.41 fof(f28,plain,(
% 0.15/0.41 divide(a,b)=zero),
% 0.15/0.41 inference(resolution,[status(thm)],[f13,f22])).
% 0.15/0.41 fof(f30,plain,(
% 0.15/0.41 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.15/0.41 inference(resolution,[status(thm)],[f17,f18])).
% 0.15/0.41 fof(f35,plain,(
% 0.15/0.41 ![X0]: (divide(zero,X0)=zero)),
% 0.15/0.41 inference(resolution,[status(thm)],[f15,f30])).
% 0.15/0.41 fof(f65,plain,(
% 0.15/0.41 ![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)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f16,f18])).
% 0.15/0.41 fof(f279,plain,(
% 0.15/0.41 ![X0]: (~less_equal(divide(zero,X0),divide(divide(a,X0),divide(b,X0)))|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f28,f65])).
% 0.15/0.41 fof(f325,plain,(
% 0.15/0.41 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f35,f279])).
% 0.15/0.41 fof(f326,plain,(
% 0.15/0.41 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(zero,X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f28,f325])).
% 0.15/0.41 fof(f327,plain,(
% 0.15/0.41 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|zero=divide(divide(a,X0),divide(b,X0)))),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f35,f326])).
% 0.15/0.41 fof(f328,plain,(
% 0.15/0.41 ![X0]: (zero=divide(divide(a,X0),divide(b,X0)))),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f327,f17])).
% 0.15/0.41 fof(f523,plain,(
% 0.15/0.41 ![X0]: (less_equal(divide(a,X0),divide(b,X0)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f328,f14])).
% 0.15/0.41 fof(f580,plain,(
% 0.15/0.41 less_equal(divide(a,c),zero)),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f27,f523])).
% 0.15/0.41 fof(f587,plain,(
% 0.15/0.41 divide(a,c)=zero),
% 0.15/0.41 inference(resolution,[status(thm)],[f580,f30])).
% 0.15/0.41 fof(f592,plain,(
% 0.15/0.41 less_equal(a,c)),
% 0.15/0.41 inference(resolution,[status(thm)],[f587,f14])).
% 0.15/0.41 fof(f610,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f592,f24])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.45 % Elapsed time: 0.062401 seconds
% 0.15/0.45 % CPU time: 0.196180 seconds
% 0.15/0.45 % Total memory used: 68.313 MB
% 0.15/0.45 % Net memory used: 67.801 MB
%------------------------------------------------------------------------------