%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN006-3 : 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 : n014.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 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN006-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:45:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f1,axiom,(
% 0.14/0.52 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f2,axiom,(
% 0.14/0.52 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f3,axiom,(
% 0.14/0.52 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f4,axiom,(
% 0.14/0.52 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f5,axiom,(
% 0.14/0.52 (![X]: (less_equal(zero,X) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f6,axiom,(
% 0.14/0.52 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f8,hypothesis,(
% 0.14/0.52 less_equal(divide(a,b),d) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f9,negated_conjecture,(
% 0.14/0.52 ~ less_equal(divide(a,d),b) ),
% 0.14/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f10,plain,(
% 0.14/0.52 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.52 fof(f11,plain,(
% 0.14/0.52 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.52 fof(f12,plain,(
% 0.14/0.52 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.52 fof(f13,plain,(
% 0.14/0.52 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.52 fof(f14,plain,(
% 0.14/0.52 ![X0]: (less_equal(zero,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.52 fof(f15,plain,(
% 0.14/0.52 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.52 fof(f17,plain,(
% 0.14/0.52 less_equal(divide(a,b),d)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.52 fof(f18,plain,(
% 0.14/0.52 ~less_equal(divide(a,d),b)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.52 fof(f19,plain,(
% 0.14/0.52 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 0.14/0.52 inference(resolution,[status(thm)],[f15,f12])).
% 0.14/0.52 fof(f21,plain,(
% 0.14/0.52 ![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)))),
% 0.14/0.52 inference(resolution,[status(thm)],[f13,f15])).
% 0.14/0.52 fof(f22,plain,(
% 0.14/0.52 ![X0]: (zero=divide(zero,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f14,f19])).
% 0.14/0.52 fof(f23,plain,(
% 0.14/0.52 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.14/0.52 inference(resolution,[status(thm)],[f14,f15])).
% 0.14/0.52 fof(f24,plain,(
% 0.14/0.52 ![X0,X1]: (~less_equal(divide(divide(X0,zero),X1),divide(divide(X0,X1),zero))|divide(divide(X0,zero),X1)=divide(divide(X0,X1),divide(zero,X1)))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f22,f21])).
% 0.14/0.52 fof(f32,plain,(
% 0.14/0.52 ![X0,X1]: (~less_equal(divide(divide(X0,zero),X1),divide(divide(X0,X1),zero))|divide(divide(X0,zero),X1)=divide(divide(X0,X1),zero))),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f22,f24])).
% 0.14/0.52 fof(f81,plain,(
% 0.14/0.52 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 0.14/0.52 inference(resolution,[status(thm)],[f10,f13])).
% 0.14/0.52 fof(f82,plain,(
% 0.14/0.52 divide(divide(a,b),d)=zero),
% 0.14/0.52 inference(resolution,[status(thm)],[f10,f17])).
% 0.14/0.52 fof(f83,plain,(
% 0.14/0.52 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.14/0.52 inference(resolution,[status(thm)],[f10,f12])).
% 0.14/0.52 fof(f87,plain,(
% 0.14/0.52 ![X0]: (~less_equal(zero,divide(divide(X0,X0),zero))|divide(divide(X0,zero),X0)=divide(divide(X0,X0),zero))),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f83,f32])).
% 0.14/0.52 fof(f107,plain,(
% 0.14/0.52 ![X0]: (~less_equal(zero,divide(divide(X0,X0),zero))|zero=divide(divide(X0,X0),zero))),
% 0.14/0.52 inference(forward_demodulation,[status(thm)],[f83,f87])).
% 0.14/0.52 fof(f108,plain,(
% 0.14/0.52 ![X0]: (zero=divide(divide(X0,X0),zero))),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f107,f14])).
% 0.14/0.52 fof(f204,plain,(
% 0.14/0.52 ![X0,X1,X2]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 0.14/0.52 inference(paramodulation,[status(thm)],[f83,f81])).
% 0.14/0.53 fof(f252,plain,(
% 0.14/0.53 ~less_equal(zero,divide(divide(a,d),divide(b,d)))|divide(divide(a,b),d)=divide(divide(a,d),divide(b,d))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f82,f21])).
% 0.14/0.53 fof(f268,plain,(
% 0.14/0.53 ~less_equal(zero,divide(divide(a,d),divide(b,d)))|zero=divide(divide(a,d),divide(b,d))),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f82,f252])).
% 0.14/0.53 fof(f269,plain,(
% 0.14/0.53 zero=divide(divide(a,d),divide(b,d))),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f268,f14])).
% 0.14/0.53 fof(f358,plain,(
% 0.14/0.53 ![X0]: (less_equal(divide(X0,X0),zero))),
% 0.14/0.53 inference(resolution,[status(thm)],[f11,f108])).
% 0.14/0.53 fof(f372,plain,(
% 0.14/0.53 ![X0]: (divide(X0,X0)=zero)),
% 0.14/0.53 inference(resolution,[status(thm)],[f358,f23])).
% 0.14/0.53 fof(f384,plain,(
% 0.14/0.53 ![X0]: (~less_equal(zero,divide(divide(X0,divide(X0,zero)),zero))|divide(divide(X0,zero),divide(X0,zero))=divide(divide(X0,divide(X0,zero)),zero))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f372,f32])).
% 0.14/0.53 fof(f410,plain,(
% 0.14/0.53 ![X0]: (~less_equal(zero,divide(divide(X0,divide(X0,zero)),zero))|zero=divide(divide(X0,divide(X0,zero)),zero))),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f372,f384])).
% 0.14/0.53 fof(f411,plain,(
% 0.14/0.53 ![X0]: (zero=divide(divide(X0,divide(X0,zero)),zero))),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f410,f14])).
% 0.14/0.53 fof(f543,plain,(
% 0.14/0.53 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 0.14/0.53 inference(resolution,[status(thm)],[f411,f11])).
% 0.14/0.53 fof(f815,plain,(
% 0.14/0.53 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 0.14/0.53 inference(resolution,[status(thm)],[f543,f23])).
% 0.14/0.53 fof(f830,plain,(
% 0.14/0.53 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.14/0.53 inference(resolution,[status(thm)],[f815,f11])).
% 0.14/0.53 fof(f910,plain,(
% 0.14/0.53 ![X0]: (X0=divide(X0,zero))),
% 0.14/0.53 inference(resolution,[status(thm)],[f830,f19])).
% 0.14/0.53 fof(f1800,plain,(
% 0.14/0.53 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f910,f204])).
% 0.14/0.53 fof(f1822,plain,(
% 0.14/0.53 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X0,divide(X1,X2))),divide(zero,divide(X0,divide(X1,X2))))=zero)),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f1800,f1800])).
% 0.14/0.53 fof(f1898,plain,(
% 0.14/0.53 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X0,divide(X1,X2))),zero)=zero)),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f22,f1822])).
% 0.14/0.53 fof(f1899,plain,(
% 0.14/0.53 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X0,divide(X1,X2)))=zero)),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f910,f1898])).
% 0.14/0.53 fof(f3716,plain,(
% 0.14/0.53 divide(divide(divide(a,d),b),zero)=zero),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f269,f1899])).
% 0.14/0.53 fof(f3793,plain,(
% 0.14/0.53 divide(divide(a,d),b)=zero),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f910,f3716])).
% 0.14/0.53 fof(f3866,plain,(
% 0.14/0.53 less_equal(divide(a,d),b)),
% 0.14/0.53 inference(resolution,[status(thm)],[f3793,f11])).
% 0.14/0.53 fof(f3927,plain,(
% 0.14/0.53 $false),
% 0.14/0.53 inference(forward_subsumption_resolution,[status(thm)],[f3866,f18])).
% 0.14/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.53 % Elapsed time: 0.155559 seconds
% 0.14/0.53 % CPU time: 0.907537 seconds
% 0.14/0.53 % Total memory used: 60.181 MB
% 0.14/0.53 % Net memory used: 59.489 MB
%------------------------------------------------------------------------------