%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN010-3 : 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 : n012.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 12:45:29 PM UTC 2026
% Result : Unsatisfiable 2.53s 0.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HEN010-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sun Sep 20 20:46:10 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 2.53/0.73 % Refutation found
% 2.53/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.53/0.73 % SZS output start CNFRefutation for theBenchmark
% 2.53/0.73 fof(f1,axiom,(
% 2.53/0.73 (![X,Y]: (( ~ less_equal(X,Y)| divide(X,Y) = zero ) ))),
% 2.53/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.53/0.73 fof(f2,axiom,(
% 2.53/0.73 (![X,Y]: (( divide(X,Y) != zero| less_equal(X,Y) ) ))),
% 2.53/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.53/0.73 fof(f3,axiom,(
% 2.53/0.73 (![X,Y]: (less_equal(divide(X,Y),X) ))),
% 2.53/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.53/0.73 fof(f4,axiom,(
% 2.53/0.73 (![X,Z,Y]: (less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ))),
% 2.53/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.53/0.73 fof(f5,axiom,(
% 2.53/0.73 (![X]: (less_equal(zero,X) ))),
% 2.53/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.53/0.73 fof(f6,axiom,(
% 2.53/0.73 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 2.53/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.53/0.73 fof(f8,negated_conjecture,(
% 2.53/0.73 divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))) ),
% 2.53/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.53/0.73 fof(f9,plain,(
% 2.53/0.73 ![X0,X1]: (~less_equal(X0,X1)|divide(X0,X1)=zero)),
% 2.53/0.73 inference(cnf_transformation,[status(thm)],[f1])).
% 2.53/0.73 fof(f10,plain,(
% 2.53/0.73 ![X0,X1]: (~divide(X0,X1)=zero|less_equal(X0,X1))),
% 2.53/0.73 inference(cnf_transformation,[status(thm)],[f2])).
% 2.53/0.73 fof(f11,plain,(
% 2.53/0.73 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 2.53/0.73 inference(cnf_transformation,[status(thm)],[f3])).
% 2.53/0.73 fof(f12,plain,(
% 2.53/0.73 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 2.53/0.73 inference(cnf_transformation,[status(thm)],[f4])).
% 2.53/0.73 fof(f13,plain,(
% 2.53/0.73 ![X0]: (less_equal(zero,X0))),
% 2.53/0.73 inference(cnf_transformation,[status(thm)],[f5])).
% 2.53/0.73 fof(f14,plain,(
% 2.53/0.73 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 2.53/0.73 inference(cnf_transformation,[status(thm)],[f6])).
% 2.53/0.73 fof(f16,plain,(
% 2.53/0.73 ~divide(identity,a)=divide(divide(identity,a),divide(identity,divide(identity,a)))),
% 2.53/0.73 inference(cnf_transformation,[status(thm)],[f8])).
% 2.53/0.73 fof(f17,plain,(
% 2.53/0.73 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f9,f11])).
% 2.53/0.73 fof(f18,plain,(
% 2.53/0.73 ![X0]: (divide(zero,X0)=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f9,f13])).
% 2.53/0.73 fof(f31,plain,(
% 2.53/0.73 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|X0=divide(X0,X1))),
% 2.53/0.73 inference(resolution,[status(thm)],[f14,f11])).
% 2.53/0.73 fof(f32,plain,(
% 2.53/0.73 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f14,f13])).
% 2.53/0.73 fof(f34,plain,(
% 2.53/0.73 ![X0,X1]: (~less_equal(X0,X1)|X0=X1|~divide(X1,X0)=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f14,f10])).
% 2.53/0.73 fof(f37,plain,(
% 2.53/0.73 ![X0]: (X0=zero|~divide(X0,zero)=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f32,f10])).
% 2.53/0.73 fof(f40,plain,(
% 2.53/0.73 ![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)))),
% 2.53/0.73 inference(resolution,[status(thm)],[f12,f14])).
% 2.53/0.73 fof(f41,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f12,f9])).
% 2.53/0.73 fof(f47,plain,(
% 2.53/0.73 ![X0,X1]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)))),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f18,f12])).
% 2.53/0.73 fof(f49,plain,(
% 2.53/0.73 ![X0,X1]: (less_equal(divide(divide(X0,X0),divide(X1,X0)),zero))),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f17,f12])).
% 2.53/0.73 fof(f79,plain,(
% 2.53/0.73 ![X0,X1]: (X0=divide(X0,X1)|~divide(X0,divide(X0,X1))=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f31,f10])).
% 2.53/0.73 fof(f85,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X2),X1)|~divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1)))=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f34,f12])).
% 2.53/0.73 fof(f89,plain,(
% 2.53/0.73 ![X0,X1]: (X0=X1|~divide(X1,X0)=zero|~divide(X0,X1)=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f34,f10])).
% 2.53/0.73 fof(f90,plain,(
% 2.53/0.73 ![X0,X1]: (divide(divide(X0,X0),divide(X1,X0))=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f49,f32])).
% 2.53/0.73 fof(f111,plain,(
% 2.53/0.73 ![X0]: (divide(divide(X0,X0),zero)=zero)),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f17,f90])).
% 2.53/0.73 fof(f127,plain,(
% 2.53/0.73 ![X0]: (divide(X0,X0)=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f111,f37])).
% 2.53/0.73 fof(f176,plain,(
% 2.53/0.73 ![X0,X1]: (~less_equal(zero,divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))|divide(divide(X0,X1),divide(X0,X1))=divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f127,f40])).
% 2.53/0.73 fof(f177,plain,(
% 2.53/0.73 ![X0,X1,X2]: (~less_equal(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0)))|divide(divide(divide(X1,X2),X1),X0)=divide(divide(divide(X1,X2),X0),divide(X1,X0)))),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f17,f40])).
% 2.53/0.73 fof(f199,plain,(
% 2.53/0.73 ![X0,X1]: (~less_equal(zero,divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))|zero=divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f127,f176])).
% 2.53/0.73 fof(f200,plain,(
% 2.53/0.73 ![X0,X1]: (zero=divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))),
% 2.53/0.73 inference(forward_subsumption_resolution,[status(thm)],[f199,f13])).
% 2.53/0.73 fof(f201,plain,(
% 2.53/0.73 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X0),X2)=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f18,f177])).
% 2.53/0.73 fof(f202,plain,(
% 2.53/0.73 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(zero,X2)=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f17,f201])).
% 2.53/0.73 fof(f203,plain,(
% 2.53/0.73 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|zero=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f18,f202])).
% 2.53/0.73 fof(f204,plain,(
% 2.53/0.73 ![X0,X1,X2]: (zero=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 2.53/0.73 inference(forward_subsumption_resolution,[status(thm)],[f203,f13])).
% 2.53/0.73 fof(f312,plain,(
% 2.53/0.73 ![X0,X1,X2,X3]: (divide(divide(divide(X0,divide(divide(X1,X2),X3)),zero),divide(divide(X0,divide(divide(X1,X3),divide(X2,X3))),divide(divide(X1,X2),X3)))=zero)),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f41,f41])).
% 2.53/0.73 fof(f643,plain,(
% 2.53/0.73 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f127,f47])).
% 2.53/0.73 fof(f787,plain,(
% 2.53/0.73 ![X0]: (divide(divide(X0,divide(X0,zero)),zero)=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f643,f32])).
% 2.53/0.73 fof(f808,plain,(
% 2.53/0.73 ![X0]: (divide(X0,divide(X0,zero))=zero)),
% 2.53/0.73 inference(resolution,[status(thm)],[f787,f37])).
% 2.53/0.73 fof(f895,plain,(
% 2.53/0.73 ![X0]: (X0=divide(X0,zero))),
% 2.53/0.73 inference(resolution,[status(thm)],[f808,f79])).
% 2.53/0.73 fof(f1087,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X1,X2),X1))=divide(divide(X0,divide(X1,X2)),X1)|~divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))=zero)),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f17,f85])).
% 2.53/0.73 fof(f1196,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(divide(X0,X1),zero)=divide(divide(X0,divide(X1,X2)),X1)|~divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))=zero)),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f17,f1087])).
% 2.53/0.73 fof(f1197,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1)|~divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))=zero)),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f895,f1196])).
% 2.53/0.73 fof(f1198,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1)|~divide(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))=zero)),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f895,f1197])).
% 2.53/0.73 fof(f1199,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1)|~zero=zero)),
% 2.53/0.73 inference(forward_demodulation,[status(thm)],[f204,f1198])).
% 2.53/0.73 fof(f1200,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1))),
% 2.53/0.73 inference(trivial_equality_resolution,[status(thm)],[f1199])).
% 2.53/0.73 fof(f1454,plain,(
% 2.53/0.73 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X0,divide(X1,X2)))=zero)),
% 2.53/0.73 inference(paramodulation,[status(thm)],[f1200,f17])).
% 2.53/0.73 fof(f1539,plain,(
% 2.53/0.73 ![X0,X1,X2,X3]: (divide(divide(X0,divide(divide(X1,X2),X3)),divide(divide(X0,divide(divide(X1,X3),divide(X2,X3))),divide(divide(X1,X2),X3)))=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f895,f312])).
% 2.53/0.74 fof(f2316,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)),divide(zero,divide(divide(X0,X2),X1)))=zero)),
% 2.53/0.74 inference(paramodulation,[status(thm)],[f1454,f1539])).
% 2.53/0.74 fof(f2388,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)),zero)=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f18,f2316])).
% 2.53/0.74 fof(f2389,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f895,f2388])).
% 2.53/0.74 fof(f4471,plain,(
% 2.53/0.74 ![X0,X1]: (divide(divide(divide(X0,divide(X0,X1)),X1),zero)=zero)),
% 2.53/0.74 inference(paramodulation,[status(thm)],[f200,f1454])).
% 2.53/0.74 fof(f4672,plain,(
% 2.53/0.74 ![X0,X1]: (divide(divide(X0,divide(X0,X1)),X1)=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f895,f4471])).
% 2.53/0.74 fof(f4847,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X2,divide(X2,X1)),X1))=divide(divide(X0,divide(X2,divide(X2,X1))),X1)|~divide(divide(divide(X0,divide(X2,divide(X2,X1))),X1),divide(divide(X0,X1),zero))=zero)),
% 2.53/0.74 inference(paramodulation,[status(thm)],[f4672,f85])).
% 2.53/0.74 fof(f4977,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(X0,X1),zero)=divide(divide(X0,divide(X2,divide(X2,X1))),X1)|~divide(divide(divide(X0,divide(X2,divide(X2,X1))),X1),divide(divide(X0,X1),zero))=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f4672,f4847])).
% 2.53/0.74 fof(f4978,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X2,divide(X2,X1))),X1)|~divide(divide(divide(X0,divide(X2,divide(X2,X1))),X1),divide(divide(X0,X1),zero))=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f895,f4977])).
% 2.53/0.74 fof(f4979,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X2,divide(X2,X1))),X1)|~divide(divide(divide(X0,divide(X2,divide(X2,X1))),X1),divide(X0,X1))=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f895,f4978])).
% 2.53/0.74 fof(f4980,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X2,divide(X2,X1))),X1)|~zero=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f204,f4979])).
% 2.53/0.74 fof(f4981,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X2,divide(X2,X1))),X1))),
% 2.53/0.74 inference(trivial_equality_resolution,[status(thm)],[f4980])).
% 2.53/0.74 fof(f13727,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1)|~divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))=zero)),
% 2.53/0.74 inference(resolution,[status(thm)],[f2389,f89])).
% 2.53/0.74 fof(f14010,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1)|~zero=zero)),
% 2.53/0.74 inference(forward_demodulation,[status(thm)],[f2389,f13727])).
% 2.53/0.74 fof(f14011,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1))),
% 2.53/0.74 inference(trivial_equality_resolution,[status(thm)],[f14010])).
% 2.53/0.74 fof(f14393,plain,(
% 2.53/0.74 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,X1),divide(X2,divide(X2,X1))))),
% 2.53/0.74 inference(paramodulation,[status(thm)],[f4981,f14011])).
% 2.53/0.74 fof(f16196,plain,(
% 2.53/0.74 ~divide(identity,a)=divide(identity,a)),
% 2.53/0.74 inference(backward_demodulation,[status(thm)],[f14393,f16])).
% 2.53/0.74 fof(f16441,plain,(
% 2.53/0.74 $false),
% 2.53/0.74 inference(trivial_equality_resolution,[status(thm)],[f16196])).
% 2.53/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 2.53/0.76 % Elapsed time: 0.444081 seconds
% 2.53/0.76 % CPU time: 3.250386 seconds
% 2.53/0.76 % Total memory used: 141.864 MB
% 2.53/0.76 % Net memory used: 137.609 MB
%------------------------------------------------------------------------------