%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN007-6 : 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 : n009.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 12:45:28 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:46:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.51 % Refutation found
% 0.13/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.51 fof(f1,axiom,(
% 0.13/0.51 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f3,axiom,(
% 0.13/0.51 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f4,axiom,(
% 0.13/0.51 (![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) ) ))),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f8,axiom,(
% 0.13/0.51 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f9,axiom,(
% 0.13/0.51 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f13,axiom,(
% 0.13/0.51 (![X]: (quotient(X,zero,X) ))),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f14,axiom,(
% 0.13/0.51 (![X,Y,Z]: (( ~ less_equal(X,Y)| ~ less_equal(Y,Z)| less_equal(X,Z) ) ))),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f15,hypothesis,(
% 0.13/0.51 less_equal(x,y) ),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f16,hypothesis,(
% 0.13/0.51 quotient(z,y,zQy) ),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f17,hypothesis,(
% 0.13/0.51 quotient(z,x,zQx) ),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f18,negated_conjecture,(
% 0.13/0.51 ~ less_equal(zQy,zQx) ),
% 0.13/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.51 fof(f19,plain,(
% 0.13/0.51 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.51 fof(f21,plain,(
% 0.13/0.51 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.13/0.51 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.51 fof(f22,plain,(
% 0.13/0.51 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.51 fof(f23,plain,(
% 0.13/0.51 ![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))),
% 0.13/0.51 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.51 fof(f24,plain,(
% 0.13/0.51 ![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))),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.51 fof(f28,plain,(
% 0.13/0.51 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.51 fof(f29,plain,(
% 0.13/0.51 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 0.13/0.51 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.51 fof(f30,plain,(
% 0.13/0.51 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.51 fof(f34,plain,(
% 0.13/0.51 ![X0]: (quotient(X0,zero,X0))),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.51 fof(f35,plain,(
% 0.13/0.51 ![X,Z]: ((![Y]: (~less_equal(X,Y)|~less_equal(Y,Z)))|less_equal(X,Z))),
% 0.13/0.51 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.51 fof(f36,plain,(
% 0.13/0.51 ![X0,X1,X2]: (~less_equal(X0,X1)|~less_equal(X1,X2)|less_equal(X0,X2))),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.51 fof(f37,plain,(
% 0.13/0.51 less_equal(x,y)),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.51 fof(f38,plain,(
% 0.13/0.51 quotient(z,y,zQy)),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.51 fof(f39,plain,(
% 0.13/0.51 quotient(z,x,zQx)),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.51 fof(f40,plain,(
% 0.13/0.51 ~less_equal(zQy,zQx)),
% 0.13/0.51 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.51 fof(f45,plain,(
% 0.13/0.51 ![X0,X1,X2,X3,X4]: (~quotient(x,X0,X1)|~quotient(z,X0,X2)|~quotient(X2,X1,X3)|~quotient(zQx,X0,X4)|less_equal(X3,X4))),
% 0.13/0.51 inference(resolution,[status(thm)],[f24,f39])).
% 0.13/0.51 fof(f61,plain,(
% 0.13/0.51 quotient(x,y,zero)),
% 0.13/0.51 inference(resolution,[status(thm)],[f19,f37])).
% 0.13/0.51 fof(f70,plain,(
% 0.13/0.51 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.13/0.51 inference(resolution,[status(thm)],[f28,f22])).
% 0.13/0.51 fof(f78,plain,(
% 0.13/0.51 ![X0,X1,X2,X3]: (~quotient(z,X0,X1)|~quotient(X1,divide(x,X0),X2)|~quotient(zQx,X0,X3)|less_equal(X2,X3))),
% 0.13/0.51 inference(resolution,[status(thm)],[f45,f28])).
% 0.13/0.51 fof(f108,plain,(
% 0.13/0.51 ![X0]: (~quotient(x,y,X0)|zero=X0)),
% 0.13/0.51 inference(resolution,[status(thm)],[f30,f61])).
% 0.13/0.51 fof(f114,plain,(
% 0.13/0.51 ![X0,X1]: (~quotient(X0,zero,X1)|X0=X1)),
% 0.13/0.51 inference(resolution,[status(thm)],[f30,f34])).
% 0.13/0.51 fof(f164,plain,(
% 0.13/0.51 ![X0]: (X0=divide(X0,zero))),
% 0.13/0.51 inference(resolution,[status(thm)],[f114,f28])).
% 0.13/0.51 fof(f261,plain,(
% 0.13/0.51 zero=divide(x,y)),
% 0.13/0.51 inference(resolution,[status(thm)],[f108,f28])).
% 0.13/0.51 fof(f289,plain,(
% 0.13/0.51 ![X0,X1,X2]: (~quotient(z,X0,X1)|~quotient(zQx,X0,X2)|less_equal(divide(X1,divide(x,X0)),X2))),
% 0.13/0.51 inference(resolution,[status(thm)],[f78,f28])).
% 0.13/0.51 fof(f2313,plain,(
% 0.13/0.51 ![X0]: (~quotient(zQx,y,X0)|less_equal(divide(zQy,divide(x,y)),X0))),
% 0.13/0.51 inference(resolution,[status(thm)],[f289,f38])).
% 0.13/0.51 fof(f2320,plain,(
% 0.13/0.51 ![X0]: (~quotient(zQx,y,X0)|less_equal(divide(zQy,zero),X0))),
% 0.13/0.51 inference(forward_demodulation,[status(thm)],[f261,f2313])).
% 0.13/0.51 fof(f2321,plain,(
% 0.13/0.51 ![X0]: (~quotient(zQx,y,X0)|less_equal(zQy,X0))),
% 0.13/0.51 inference(forward_demodulation,[status(thm)],[f164,f2320])).
% 0.13/0.51 fof(f2390,plain,(
% 0.13/0.51 less_equal(zQy,divide(zQx,y))),
% 0.13/0.51 inference(resolution,[status(thm)],[f2321,f28])).
% 0.13/0.51 fof(f2395,plain,(
% 0.13/0.51 ![X0]: (~less_equal(divide(zQx,y),X0)|less_equal(zQy,X0))),
% 0.13/0.51 inference(resolution,[status(thm)],[f2390,f36])).
% 0.13/0.51 fof(f2558,plain,(
% 0.13/0.51 less_equal(zQy,zQx)),
% 0.13/0.51 inference(resolution,[status(thm)],[f2395,f70])).
% 0.13/0.51 fof(f2561,plain,(
% 0.13/0.51 $false),
% 0.13/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2558,f40])).
% 0.13/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.53 % Elapsed time: 0.153201 seconds
% 0.13/0.53 % CPU time: 0.933112 seconds
% 0.13/0.53 % Total memory used: 53.378 MB
% 0.13/0.53 % Net memory used: 51.428 MB
%------------------------------------------------------------------------------