%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN004-1 : 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 : n001.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 12:45:26 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:50:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,axiom,(
% 0.12/0.38 (![X,Y,V1,Z,V2,V3,V4,V5]: (( ~ quotient(X,Y,V1)| ~ quotient(Y,Z,V2)| ~ quotient(X,Z,V3)| ~ quotient(V3,V2,V4)| ~ quotient(V1,Z,V5)| less_equal(V4,V5) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (![X]: (less_equal(zero,X) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,axiom,(
% 0.12/0.38 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f10,negated_conjecture,(
% 0.12/0.38 ~ quotient(x,zero,x) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ![V4,V5]: ((![V1,Z]: ((![V2,V3]: ((![X]: ((![Y]: (~quotient(X,Y,V1)|~quotient(Y,Z,V2)))|~quotient(X,Z,V3)))|~quotient(V3,V2,V4)))|~quotient(V1,Z,V5)))|less_equal(V4,V5))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~quotient(X0,X1,X2)|~quotient(X1,X3,X4)|~quotient(X0,X3,X5)|~quotient(X5,X4,X6)|~quotient(X2,X3,X7)|less_equal(X6,X7))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 ![X0]: (less_equal(zero,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.39 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f20,plain,(
% 0.12/0.39 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f23,plain,(
% 0.12/0.39 ~quotient(x,zero,x)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 ![X0]: (quotient(zero,X0,zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f11,f17])).
% 0.12/0.39 fof(f37,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~quotient(X0,X1,X2)|~quotient(X3,X1,X4)|~quotient(X4,X2,X5)|~quotient(divide(X3,X0),X1,X6)|less_equal(X5,X6))),
% 0.12/0.39 inference(resolution,[status(thm)],[f20,f16])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f20,f14])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f38,f11])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|divide(X0,X1)=X0)),
% 0.12/0.39 inference(resolution,[status(thm)],[f18,f38])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 0.12/0.39 inference(resolution,[status(thm)],[f18,f17])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~quotient(X0,X1,X2)|~quotient(X2,zero,X3)|~quotient(divide(X0,zero),X1,X4)|less_equal(X3,X4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f37,f24])).
% 0.12/0.39 fof(f87,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),zero,X2)|~quotient(divide(X0,zero),X1,X3)|less_equal(X2,X3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f49,f20])).
% 0.12/0.39 fof(f109,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~quotient(divide(X0,zero),X1,X2)|less_equal(divide(divide(X0,X1),zero),X2))),
% 0.12/0.39 inference(resolution,[status(thm)],[f87,f20])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 ![X0]: (less_equal(divide(divide(X0,X0),zero),zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f109,f41])).
% 0.12/0.39 fof(f142,plain,(
% 0.12/0.39 ![X0]: (zero=divide(divide(X0,X0),zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f115,f47])).
% 0.12/0.39 fof(f163,plain,(
% 0.12/0.39 ![X0]: (quotient(divide(X0,X0),zero,zero))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f142,f20])).
% 0.12/0.39 fof(f174,plain,(
% 0.12/0.39 ![X0]: (less_equal(divide(X0,X0),zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f163,f12])).
% 0.12/0.39 fof(f191,plain,(
% 0.12/0.39 ![X0]: (zero=divide(X0,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f174,f47])).
% 0.12/0.39 fof(f211,plain,(
% 0.12/0.39 ![X0]: (quotient(X0,X0,zero))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f191,f20])).
% 0.12/0.39 fof(f222,plain,(
% 0.12/0.39 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f211,f109])).
% 0.12/0.39 fof(f260,plain,(
% 0.12/0.39 ![X0]: (zero=divide(divide(X0,divide(X0,zero)),zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f222,f47])).
% 0.12/0.39 fof(f290,plain,(
% 0.12/0.39 ![X0]: (quotient(divide(X0,divide(X0,zero)),zero,zero))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f260,f20])).
% 0.12/0.39 fof(f303,plain,(
% 0.12/0.39 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 0.12/0.39 inference(resolution,[status(thm)],[f290,f12])).
% 0.12/0.39 fof(f326,plain,(
% 0.12/0.39 ![X0]: (zero=divide(X0,divide(X0,zero)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f303,f47])).
% 0.12/0.39 fof(f354,plain,(
% 0.12/0.39 ![X0]: (quotient(X0,divide(X0,zero),zero))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f326,f20])).
% 0.12/0.39 fof(f371,plain,(
% 0.12/0.39 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f354,f12])).
% 0.12/0.39 fof(f389,plain,(
% 0.12/0.39 ![X0]: (divide(X0,zero)=X0)),
% 0.12/0.39 inference(resolution,[status(thm)],[f371,f46])).
% 0.12/0.39 fof(f417,plain,(
% 0.12/0.39 ![X0]: (quotient(X0,zero,X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f389,f20])).
% 0.12/0.39 fof(f420,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f23,f417])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.058239 seconds
% 0.12/0.41 % CPU time: 0.204335 seconds
% 0.12/0.41 % Total memory used: 46.002 MB
% 0.12/0.41 % Net memory used: 45.192 MB
%------------------------------------------------------------------------------