%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN006-2 : 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 : n011.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 7.13s 1.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.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 20:45:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 7.13/1.37 % Refutation found
% 7.13/1.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.13/1.37 % SZS output start CNFRefutation for theBenchmark
% 7.13/1.37 fof(f1,axiom,(
% 7.13/1.37 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f2,axiom,(
% 7.13/1.37 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f3,axiom,(
% 7.13/1.37 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f4,axiom,(
% 7.13/1.37 (![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) ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f5,axiom,(
% 7.13/1.37 (![X]: (less_equal(zero,X) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f6,axiom,(
% 7.13/1.37 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f8,axiom,(
% 7.13/1.37 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f13,axiom,(
% 7.13/1.37 (![X]: (quotient(X,zero,X) ))),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f15,hypothesis,(
% 7.13/1.37 quotient(x,y,xQy) ),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f16,hypothesis,(
% 7.13/1.37 less_equal(xQy,z) ),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f17,hypothesis,(
% 7.13/1.37 quotient(x,z,xQz) ),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f18,negated_conjecture,(
% 7.13/1.37 ~ less_equal(xQz,y) ),
% 7.13/1.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.13/1.37 fof(f19,plain,(
% 7.13/1.37 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f1])).
% 7.13/1.37 fof(f20,plain,(
% 7.13/1.37 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f2])).
% 7.13/1.37 fof(f21,plain,(
% 7.13/1.37 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 7.13/1.37 inference(miniscoping,[status(thm)],[f3])).
% 7.13/1.37 fof(f22,plain,(
% 7.13/1.37 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f21])).
% 7.13/1.37 fof(f23,plain,(
% 7.13/1.37 ![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))),
% 7.13/1.37 inference(miniscoping,[status(thm)],[f4])).
% 7.13/1.37 fof(f24,plain,(
% 7.13/1.37 ![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))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f23])).
% 7.13/1.37 fof(f25,plain,(
% 7.13/1.37 ![X0]: (less_equal(zero,X0))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f5])).
% 7.13/1.37 fof(f26,plain,(
% 7.13/1.37 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f6])).
% 7.13/1.37 fof(f28,plain,(
% 7.13/1.37 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f8])).
% 7.13/1.37 fof(f34,plain,(
% 7.13/1.37 ![X0]: (quotient(X0,zero,X0))),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f13])).
% 7.13/1.37 fof(f37,plain,(
% 7.13/1.37 quotient(x,y,xQy)),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f15])).
% 7.13/1.37 fof(f38,plain,(
% 7.13/1.37 less_equal(xQy,z)),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f16])).
% 7.13/1.37 fof(f39,plain,(
% 7.13/1.37 quotient(x,z,xQz)),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f17])).
% 7.13/1.37 fof(f40,plain,(
% 7.13/1.37 ~less_equal(xQz,y)),
% 7.13/1.37 inference(cnf_transformation,[status(thm)],[f18])).
% 7.13/1.37 fof(f46,plain,(
% 7.13/1.37 ![X0,X1,X2,X3,X4]: (~quotient(y,X0,X1)|~quotient(x,X0,X2)|~quotient(X2,X1,X3)|~quotient(xQy,X0,X4)|less_equal(X3,X4))),
% 7.13/1.37 inference(resolution,[status(thm)],[f24,f37])).
% 7.13/1.37 fof(f50,plain,(
% 7.13/1.37 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 7.13/1.37 inference(resolution,[status(thm)],[f25,f26])).
% 7.13/1.37 fof(f63,plain,(
% 7.13/1.37 quotient(xQy,z,zero)),
% 7.13/1.37 inference(resolution,[status(thm)],[f19,f38])).
% 7.13/1.37 fof(f69,plain,(
% 7.13/1.37 ![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))),
% 7.13/1.37 inference(resolution,[status(thm)],[f28,f24])).
% 7.13/1.37 fof(f70,plain,(
% 7.13/1.37 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 7.13/1.38 inference(resolution,[status(thm)],[f28,f22])).
% 7.13/1.38 fof(f71,plain,(
% 7.13/1.38 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 7.13/1.38 inference(resolution,[status(thm)],[f70,f19])).
% 7.13/1.38 fof(f74,plain,(
% 7.13/1.38 ![X0]: (zero=divide(zero,X0))),
% 7.13/1.38 inference(resolution,[status(thm)],[f50,f70])).
% 7.13/1.38 fof(f91,plain,(
% 7.13/1.38 ![X0,X1,X2,X3]: (~quotient(x,X0,X1)|~quotient(X1,divide(y,X0),X2)|~quotient(xQy,X0,X3)|less_equal(X2,X3))),
% 7.13/1.38 inference(resolution,[status(thm)],[f46,f28])).
% 7.13/1.38 fof(f149,plain,(
% 7.13/1.38 ![X0,X1,X2,X3,X4,X5]: (~quotient(X0,X1,X2)|~quotient(X2,zero,X3)|~quotient(divide(X0,divide(X1,X4)),X1,X5)|less_equal(X3,X5))),
% 7.13/1.38 inference(resolution,[status(thm)],[f69,f71])).
% 7.13/1.38 fof(f349,plain,(
% 7.13/1.38 ![X0,X1,X2]: (~quotient(x,X0,X1)|~quotient(xQy,X0,X2)|less_equal(divide(X1,divide(y,X0)),X2))),
% 7.13/1.38 inference(resolution,[status(thm)],[f91,f28])).
% 7.13/1.38 fof(f2070,plain,(
% 7.13/1.38 ![X0,X1,X2,X3,X4]: (~quotient(divide(X0,X1),zero,X2)|~quotient(divide(X0,divide(X1,X3)),X1,X4)|less_equal(X2,X4))),
% 7.13/1.38 inference(resolution,[status(thm)],[f149,f28])).
% 7.13/1.38 fof(f2570,plain,(
% 7.13/1.38 ![X0]: (~quotient(xQy,z,X0)|less_equal(divide(xQz,divide(y,z)),X0))),
% 7.13/1.38 inference(resolution,[status(thm)],[f349,f39])).
% 7.13/1.38 fof(f6643,plain,(
% 7.13/1.38 ![X0,X1,X2,X3]: (~quotient(divide(X0,divide(X1,X2)),X1,X3)|less_equal(divide(X0,X1),X3))),
% 7.13/1.38 inference(resolution,[status(thm)],[f2070,f34])).
% 7.13/1.38 fof(f6716,plain,(
% 7.13/1.38 ![X0,X1,X2]: (less_equal(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)))),
% 7.13/1.38 inference(resolution,[status(thm)],[f6643,f28])).
% 7.13/1.38 fof(f8391,plain,(
% 7.13/1.38 less_equal(divide(xQz,divide(y,z)),zero)),
% 7.13/1.38 inference(resolution,[status(thm)],[f2570,f63])).
% 7.13/1.38 fof(f8638,plain,(
% 7.13/1.38 zero=divide(xQz,divide(y,z))),
% 7.13/1.38 inference(resolution,[status(thm)],[f8391,f50])).
% 7.13/1.38 fof(f8673,plain,(
% 7.13/1.38 less_equal(divide(xQz,y),divide(zero,y))),
% 7.13/1.38 inference(paramodulation,[status(thm)],[f8638,f6716])).
% 7.13/1.38 fof(f8735,plain,(
% 7.13/1.38 less_equal(divide(xQz,y),zero)),
% 7.13/1.38 inference(forward_demodulation,[status(thm)],[f74,f8673])).
% 7.13/1.38 fof(f8774,plain,(
% 7.13/1.38 zero=divide(xQz,y)),
% 7.13/1.38 inference(resolution,[status(thm)],[f8735,f50])).
% 7.13/1.38 fof(f8850,plain,(
% 7.13/1.38 quotient(xQz,y,zero)),
% 7.13/1.38 inference(paramodulation,[status(thm)],[f8774,f28])).
% 7.13/1.38 fof(f8913,plain,(
% 7.13/1.38 less_equal(xQz,y)),
% 7.13/1.38 inference(resolution,[status(thm)],[f8850,f20])).
% 7.13/1.38 fof(f8932,plain,(
% 7.13/1.38 $false),
% 7.13/1.38 inference(forward_subsumption_resolution,[status(thm)],[f8913,f40])).
% 7.13/1.38 % SZS output end CNFRefutation for theBenchmark.p
% 7.13/1.38 % Elapsed time: 1.013772 seconds
% 7.13/1.38 % CPU time: 7.756321 seconds
% 7.13/1.38 % Total memory used: 74.095 MB
% 7.13/1.38 % Net memory used: 66.838 MB
%------------------------------------------------------------------------------