%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN006-7 : 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 : n020.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 3.02s 0.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN006-7 : 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 : n020.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 20:46:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 3.02/0.87 % Refutation found
% 3.02/0.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.02/0.87 % SZS output start CNFRefutation for theBenchmark
% 3.02/0.87 fof(f1,axiom,(
% 3.02/0.87 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f2,axiom,(
% 3.02/0.87 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f3,axiom,(
% 3.02/0.87 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f4,axiom,(
% 3.02/0.87 (![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) ) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f5,axiom,(
% 3.02/0.87 (![X]: (less_equal(zero,X) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f6,axiom,(
% 3.02/0.87 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f8,axiom,(
% 3.02/0.87 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f11,axiom,(
% 3.02/0.87 (![X]: (quotient(zero,X,zero) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f13,axiom,(
% 3.02/0.87 (![X]: (quotient(X,zero,X) ))),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f14,hypothesis,(
% 3.02/0.87 quotient(x,y,xQy) ),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f15,hypothesis,(
% 3.02/0.87 less_equal(xQy,z) ),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f16,hypothesis,(
% 3.02/0.87 quotient(x,z,xQz) ),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f17,negated_conjecture,(
% 3.02/0.87 ~ less_equal(xQz,y) ),
% 3.02/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.02/0.87 fof(f18,plain,(
% 3.02/0.87 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f1])).
% 3.02/0.87 fof(f19,plain,(
% 3.02/0.87 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f2])).
% 3.02/0.87 fof(f20,plain,(
% 3.02/0.87 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 3.02/0.87 inference(miniscoping,[status(thm)],[f3])).
% 3.02/0.87 fof(f21,plain,(
% 3.02/0.87 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f20])).
% 3.02/0.87 fof(f22,plain,(
% 3.02/0.87 ![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))),
% 3.02/0.87 inference(miniscoping,[status(thm)],[f4])).
% 3.02/0.87 fof(f23,plain,(
% 3.02/0.87 ![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))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f22])).
% 3.02/0.87 fof(f24,plain,(
% 3.02/0.87 ![X0]: (less_equal(zero,X0))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f5])).
% 3.02/0.87 fof(f25,plain,(
% 3.02/0.87 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f6])).
% 3.02/0.87 fof(f27,plain,(
% 3.02/0.87 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f8])).
% 3.02/0.87 fof(f31,plain,(
% 3.02/0.87 ![X0]: (quotient(zero,X0,zero))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f11])).
% 3.02/0.87 fof(f33,plain,(
% 3.02/0.87 ![X0]: (quotient(X0,zero,X0))),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f13])).
% 3.02/0.87 fof(f34,plain,(
% 3.02/0.87 quotient(x,y,xQy)),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f14])).
% 3.02/0.87 fof(f35,plain,(
% 3.02/0.87 less_equal(xQy,z)),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f15])).
% 3.02/0.87 fof(f36,plain,(
% 3.02/0.87 quotient(x,z,xQz)),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f16])).
% 3.02/0.87 fof(f37,plain,(
% 3.02/0.87 ~less_equal(xQz,y)),
% 3.02/0.87 inference(cnf_transformation,[status(thm)],[f17])).
% 3.02/0.87 fof(f45,plain,(
% 3.02/0.87 ![X0,X1,X2,X3,X4]: (~quotient(x,X0,X1)|~quotient(X0,z,X2)|~quotient(xQz,X2,X3)|~quotient(X1,z,X4)|less_equal(X3,X4))),
% 3.02/0.87 inference(resolution,[status(thm)],[f23,f36])).
% 3.02/0.87 fof(f57,plain,(
% 3.02/0.87 ![X0,X1,X2]: (~quotient(y,z,X0)|~quotient(xQz,X0,X1)|~quotient(xQy,z,X2)|less_equal(X1,X2))),
% 3.02/0.87 inference(resolution,[status(thm)],[f45,f34])).
% 3.02/0.87 fof(f63,plain,(
% 3.02/0.87 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 3.02/0.88 inference(resolution,[status(thm)],[f24,f25])).
% 3.02/0.88 fof(f90,plain,(
% 3.02/0.88 ![X0,X1,X2,X3,X4,X5]: (~quotient(X0,X1,X2)|~quotient(X1,X3,zero)|~quotient(X0,X3,X4)|~quotient(X2,X3,X5)|less_equal(X4,X5))),
% 3.02/0.88 inference(resolution,[status(thm)],[f33,f23])).
% 3.02/0.88 fof(f124,plain,(
% 3.02/0.88 ![X0,X1]: (~quotient(xQz,divide(y,z),X0)|~quotient(xQy,z,X1)|less_equal(X0,X1))),
% 3.02/0.88 inference(resolution,[status(thm)],[f27,f57])).
% 3.02/0.88 fof(f142,plain,(
% 3.02/0.88 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 3.02/0.88 inference(resolution,[status(thm)],[f27,f21])).
% 3.02/0.88 fof(f151,plain,(
% 3.02/0.88 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 3.02/0.88 inference(resolution,[status(thm)],[f18,f142])).
% 3.02/0.88 fof(f153,plain,(
% 3.02/0.88 quotient(xQy,z,zero)),
% 3.02/0.88 inference(resolution,[status(thm)],[f18,f35])).
% 3.02/0.88 fof(f495,plain,(
% 3.02/0.88 ![X0,X1,X2,X3,X4,X5]: (~quotient(X0,divide(X1,X2),X3)|~quotient(X0,X1,X4)|~quotient(X3,X1,X5)|less_equal(X4,X5))),
% 3.02/0.88 inference(resolution,[status(thm)],[f90,f151])).
% 3.02/0.88 fof(f2797,plain,(
% 3.02/0.88 ![X0]: (~quotient(xQy,z,X0)|less_equal(divide(xQz,divide(y,z)),X0))),
% 3.02/0.88 inference(resolution,[status(thm)],[f124,f27])).
% 3.02/0.88 fof(f2798,plain,(
% 3.02/0.88 less_equal(divide(xQz,divide(y,z)),zero)),
% 3.02/0.88 inference(resolution,[status(thm)],[f2797,f153])).
% 3.02/0.88 fof(f2801,plain,(
% 3.02/0.88 divide(xQz,divide(y,z))=zero),
% 3.02/0.88 inference(resolution,[status(thm)],[f2798,f63])).
% 3.02/0.88 fof(f2837,plain,(
% 3.02/0.88 quotient(xQz,divide(y,z),zero)),
% 3.02/0.88 inference(paramodulation,[status(thm)],[f2801,f27])).
% 3.02/0.88 fof(f2942,plain,(
% 3.02/0.88 ![X0,X1]: (~quotient(xQz,y,X0)|~quotient(zero,y,X1)|less_equal(X0,X1))),
% 3.02/0.88 inference(resolution,[status(thm)],[f495,f2837])).
% 3.02/0.88 fof(f2965,plain,(
% 3.02/0.88 ![X0]: (~quotient(xQz,y,X0)|less_equal(X0,zero))),
% 3.02/0.88 inference(resolution,[status(thm)],[f2942,f31])).
% 3.02/0.88 fof(f2968,plain,(
% 3.02/0.88 less_equal(divide(xQz,y),zero)),
% 3.02/0.88 inference(resolution,[status(thm)],[f2965,f27])).
% 3.02/0.88 fof(f2969,plain,(
% 3.02/0.88 divide(xQz,y)=zero),
% 3.02/0.88 inference(resolution,[status(thm)],[f2968,f63])).
% 3.02/0.88 fof(f3005,plain,(
% 3.02/0.88 quotient(xQz,y,zero)),
% 3.02/0.88 inference(paramodulation,[status(thm)],[f2969,f27])).
% 3.02/0.88 fof(f3030,plain,(
% 3.02/0.88 less_equal(xQz,y)),
% 3.02/0.88 inference(resolution,[status(thm)],[f3005,f19])).
% 3.02/0.88 fof(f3073,plain,(
% 3.02/0.88 $false),
% 3.02/0.88 inference(forward_subsumption_resolution,[status(thm)],[f3030,f37])).
% 3.02/0.88 % SZS output end CNFRefutation for theBenchmark.p
% 3.02/0.88 % Elapsed time: 0.511560 seconds
% 3.02/0.88 % CPU time: 3.698891 seconds
% 3.02/0.88 % Total memory used: 72.585 MB
% 3.02/0.88 % Net memory used: 66.215 MB
%------------------------------------------------------------------------------