%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN008-4 : 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 : n003.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 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN008-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:47:45 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,axiom,(
% 0.12/0.40 (![X]: (less_equal(zero,X) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f6,axiom,(
% 0.12/0.40 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (![X]: (divide(zero,X) = zero ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,hypothesis,(
% 0.12/0.40 less_equal(a,b) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,negated_conjecture,(
% 0.12/0.40 ~ less_equal(divide(a,c),divide(b,c)) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,plain,(
% 0.12/0.40 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f18,plain,(
% 0.12/0.40 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f20,plain,(
% 0.12/0.40 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f21,plain,(
% 0.12/0.40 ![X0]: (less_equal(zero,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f22,plain,(
% 0.12/0.40 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.40 fof(f25,plain,(
% 0.12/0.40 ![X0]: (divide(zero,X0)=zero)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f33,plain,(
% 0.12/0.40 less_equal(a,b)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f34,plain,(
% 0.12/0.40 ~less_equal(divide(a,c),divide(b,c))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f35,plain,(
% 0.12/0.40 divide(a,b)=zero),
% 0.12/0.40 inference(resolution,[status(thm)],[f17,f33])).
% 0.12/0.40 fof(f67,plain,(
% 0.12/0.40 ![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)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f20,f22])).
% 0.12/0.40 fof(f218,plain,(
% 0.12/0.40 ~divide(divide(a,c),divide(b,c))=zero),
% 0.12/0.40 inference(resolution,[status(thm)],[f34,f18])).
% 0.12/0.40 fof(f318,plain,(
% 0.12/0.40 ![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)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f35,f67])).
% 0.12/0.40 fof(f365,plain,(
% 0.12/0.40 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(divide(a,b),X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f25,f318])).
% 0.12/0.40 fof(f366,plain,(
% 0.12/0.40 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(zero,X0)=divide(divide(a,X0),divide(b,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f35,f365])).
% 0.12/0.40 fof(f367,plain,(
% 0.12/0.40 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|zero=divide(divide(a,X0),divide(b,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f25,f366])).
% 0.12/0.40 fof(f368,plain,(
% 0.12/0.40 ~zero=zero),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f370,f218])).
% 0.12/0.40 fof(f370,plain,(
% 0.12/0.40 ![X0]: (zero=divide(divide(a,X0),divide(b,X0)))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f367,f21])).
% 0.12/0.40 fof(f438,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f368])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.072757 seconds
% 0.12/0.42 % CPU time: 0.327177 seconds
% 0.12/0.42 % Total memory used: 70.512 MB
% 0.12/0.42 % Net memory used: 69.719 MB
%------------------------------------------------------------------------------