%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN005-3 : 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 : 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 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN005-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:50:22 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,axiom,(
% 0.08/0.37 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f5,axiom,(
% 0.08/0.37 (![X]: (less_equal(zero,X) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f6,axiom,(
% 0.08/0.37 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f8,hypothesis,(
% 0.08/0.37 less_equal(a,b) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f9,hypothesis,(
% 0.08/0.37 less_equal(b,c) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f10,negated_conjecture,(
% 0.08/0.37 ~ less_equal(a,c) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f11,plain,(
% 0.08/0.37 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f12,plain,(
% 0.08/0.37 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f14,plain,(
% 0.08/0.37 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.37 fof(f15,plain,(
% 0.08/0.37 ![X0]: (less_equal(zero,X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.37 fof(f16,plain,(
% 0.08/0.37 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.37 fof(f18,plain,(
% 0.08/0.37 less_equal(a,b)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.37 fof(f19,plain,(
% 0.08/0.37 less_equal(b,c)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.37 fof(f20,plain,(
% 0.08/0.37 ~less_equal(a,c)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.37 fof(f23,plain,(
% 0.08/0.37 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 0.08/0.37 inference(resolution,[status(thm)],[f15,f16])).
% 0.08/0.37 fof(f25,plain,(
% 0.08/0.37 ![X0]: (divide(zero,X0)=zero)),
% 0.08/0.37 inference(resolution,[status(thm)],[f11,f15])).
% 0.08/0.37 fof(f26,plain,(
% 0.08/0.37 divide(b,c)=zero),
% 0.08/0.37 inference(resolution,[status(thm)],[f11,f19])).
% 0.08/0.37 fof(f27,plain,(
% 0.08/0.37 divide(a,b)=zero),
% 0.08/0.37 inference(resolution,[status(thm)],[f11,f18])).
% 0.08/0.37 fof(f48,plain,(
% 0.08/0.37 ![X0,X1,X2]: (~less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))|divide(divide(X0,X2),divide(X1,X2))=divide(divide(X0,X1),X2))),
% 0.08/0.37 inference(resolution,[status(thm)],[f14,f16])).
% 0.08/0.37 fof(f94,plain,(
% 0.08/0.37 ![X0]: (~less_equal(divide(zero,X0),divide(divide(a,X0),divide(b,X0)))|divide(divide(a,X0),divide(b,X0))=divide(divide(a,b),X0))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f27,f48])).
% 0.08/0.37 fof(f110,plain,(
% 0.08/0.37 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(divide(a,X0),divide(b,X0))=divide(divide(a,b),X0))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f25,f94])).
% 0.08/0.37 fof(f111,plain,(
% 0.08/0.37 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(divide(a,X0),divide(b,X0))=divide(zero,X0))),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f27,f110])).
% 0.08/0.37 fof(f112,plain,(
% 0.08/0.37 ![X0]: (~less_equal(zero,divide(divide(a,X0),divide(b,X0)))|divide(divide(a,X0),divide(b,X0))=zero)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f25,f111])).
% 0.08/0.37 fof(f113,plain,(
% 0.08/0.37 ![X0]: (divide(divide(a,X0),divide(b,X0))=zero)),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f112,f15])).
% 0.08/0.37 fof(f203,plain,(
% 0.08/0.37 ![X0]: (less_equal(divide(a,X0),divide(b,X0)))),
% 0.08/0.37 inference(resolution,[status(thm)],[f113,f12])).
% 0.08/0.37 fof(f328,plain,(
% 0.08/0.37 less_equal(divide(a,c),zero)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f26,f203])).
% 0.08/0.37 fof(f332,plain,(
% 0.08/0.37 zero=divide(a,c)),
% 0.08/0.37 inference(resolution,[status(thm)],[f328,f23])).
% 0.08/0.37 fof(f337,plain,(
% 0.08/0.37 less_equal(a,c)),
% 0.08/0.37 inference(resolution,[status(thm)],[f332,f12])).
% 0.08/0.37 fof(f353,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f337,f20])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.039960 seconds
% 0.13/0.40 % CPU time: 0.091043 seconds
% 0.13/0.40 % Total memory used: 10.699 MB
% 0.13/0.40 % Net memory used: 10.647 MB
%------------------------------------------------------------------------------