%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN005-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.13s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN005-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.54 % Computer : n004.cluster.edu
% 0.09/0.54 % Model : x86_64 x86_64
% 0.09/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54 % Memory : 8046.5625MB
% 0.09/0.54 % OS : Linux 6.8.0-71-generic
% 0.09/0.54 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Sun Sep 20 20:45:34 UTC 2026
% 0.09/0.54 % CPUTime :
% 0.09/0.55 % Drodi V4.1.1
% 0.13/0.58 % Refutation found
% 0.13/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.58 fof(f1,axiom,(
% 0.13/0.58 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f2,axiom,(
% 0.13/0.58 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f3,axiom,(
% 0.13/0.58 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f4,axiom,(
% 0.13/0.58 (![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) ) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f5,axiom,(
% 0.13/0.58 (![X]: (less_equal(zero,X) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f6,axiom,(
% 0.13/0.58 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f8,axiom,(
% 0.13/0.58 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f9,axiom,(
% 0.13/0.58 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f10,hypothesis,(
% 0.13/0.58 less_equal(x,y) ),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f11,hypothesis,(
% 0.13/0.58 less_equal(y,z) ),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f12,negated_conjecture,(
% 0.13/0.58 ~ less_equal(x,z) ),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f13,plain,(
% 0.13/0.58 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.58 fof(f14,plain,(
% 0.13/0.58 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.58 fof(f15,plain,(
% 0.13/0.58 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.13/0.58 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.58 fof(f16,plain,(
% 0.13/0.58 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.58 fof(f17,plain,(
% 0.13/0.58 ![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))),
% 0.13/0.58 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.58 fof(f18,plain,(
% 0.13/0.58 ![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))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.58 fof(f19,plain,(
% 0.13/0.58 ![X0]: (less_equal(zero,X0))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.58 fof(f20,plain,(
% 0.13/0.58 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.58 fof(f22,plain,(
% 0.13/0.58 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.58 fof(f23,plain,(
% 0.13/0.58 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 0.13/0.58 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.58 fof(f24,plain,(
% 0.13/0.58 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.58 fof(f25,plain,(
% 0.13/0.58 less_equal(x,y)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.58 fof(f26,plain,(
% 0.13/0.58 less_equal(y,z)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.58 fof(f27,plain,(
% 0.13/0.58 ~less_equal(x,z)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.58 fof(f28,plain,(
% 0.13/0.58 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.13/0.58 inference(resolution,[status(thm)],[f16,f22])).
% 0.13/0.58 fof(f34,plain,(
% 0.13/0.58 ![X0]: (~less_equal(X0,zero)|X0=zero)),
% 0.13/0.58 inference(resolution,[status(thm)],[f20,f19])).
% 0.13/0.58 fof(f38,plain,(
% 0.13/0.58 ![X0]: (divide(zero,X0)=zero)),
% 0.13/0.58 inference(resolution,[status(thm)],[f34,f28])).
% 0.13/0.58 fof(f40,plain,(
% 0.13/0.58 ![X0,X1,X2,X3,X4,X5,X6]: (X0=zero|~quotient(X1,X2,X3)|~quotient(X2,X4,X5)|~quotient(X1,X4,X6)|~quotient(X6,X5,X0)|~quotient(X3,X4,zero))),
% 0.13/0.58 inference(resolution,[status(thm)],[f34,f18])).
% 0.13/0.58 fof(f42,plain,(
% 0.13/0.58 ![X0]: (quotient(zero,X0,zero))),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f38,f22])).
% 0.13/0.58 fof(f49,plain,(
% 0.13/0.58 ![X0,X1,X2]: (~quotient(X0,X1,X2)|X2=divide(X0,X1))),
% 0.13/0.58 inference(resolution,[status(thm)],[f24,f22])).
% 0.13/0.58 fof(f57,plain,(
% 0.13/0.58 ![X0,X1]: (zero=divide(X0,X1)|~less_equal(X0,X1))),
% 0.13/0.58 inference(resolution,[status(thm)],[f49,f13])).
% 0.13/0.58 fof(f59,plain,(
% 0.13/0.58 zero=divide(y,z)),
% 0.13/0.58 inference(resolution,[status(thm)],[f57,f26])).
% 0.13/0.58 fof(f60,plain,(
% 0.13/0.58 zero=divide(x,y)),
% 0.13/0.58 inference(resolution,[status(thm)],[f57,f25])).
% 0.13/0.58 fof(f74,plain,(
% 0.13/0.58 quotient(y,z,zero)),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f59,f22])).
% 0.13/0.58 fof(f76,plain,(
% 0.13/0.58 quotient(x,y,zero)),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f60,f22])).
% 0.13/0.58 fof(f149,plain,(
% 0.13/0.58 ![X0,X1,X2,X3,X4,X5]: (X0=zero|~quotient(X1,X2,zero)|~quotient(X2,X3,X4)|~quotient(X1,X3,X5)|~quotient(X5,X4,X0))),
% 0.13/0.58 inference(resolution,[status(thm)],[f40,f42])).
% 0.13/0.58 fof(f153,plain,(
% 0.13/0.58 ![X0,X1,X2,X3]: (X0=zero|~quotient(y,X1,X2)|~quotient(x,X1,X3)|~quotient(X3,X2,X0))),
% 0.13/0.58 inference(resolution,[status(thm)],[f149,f76])).
% 0.13/0.58 fof(f251,plain,(
% 0.13/0.58 ![X0,X1]: (X0=zero|~quotient(x,z,X1)|~quotient(X1,zero,X0))),
% 0.13/0.58 inference(resolution,[status(thm)],[f153,f74])).
% 0.13/0.58 fof(f255,plain,(
% 0.13/0.58 ![X0]: (X0=zero|~quotient(divide(x,z),zero,X0))),
% 0.13/0.58 inference(resolution,[status(thm)],[f251,f22])).
% 0.13/0.58 fof(f257,plain,(
% 0.13/0.58 divide(divide(x,z),zero)=zero),
% 0.13/0.58 inference(resolution,[status(thm)],[f255,f22])).
% 0.13/0.58 fof(f281,plain,(
% 0.13/0.58 quotient(divide(x,z),zero,zero)),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f257,f22])).
% 0.13/0.58 fof(f288,plain,(
% 0.13/0.58 less_equal(divide(x,z),zero)),
% 0.13/0.58 inference(resolution,[status(thm)],[f281,f14])).
% 0.13/0.58 fof(f293,plain,(
% 0.13/0.58 divide(x,z)=zero),
% 0.13/0.58 inference(resolution,[status(thm)],[f288,f34])).
% 0.13/0.58 fof(f313,plain,(
% 0.13/0.58 quotient(x,z,zero)),
% 0.13/0.58 inference(paramodulation,[status(thm)],[f293,f22])).
% 0.13/0.58 fof(f319,plain,(
% 0.13/0.58 less_equal(x,z)),
% 0.13/0.58 inference(resolution,[status(thm)],[f313,f14])).
% 0.13/0.58 fof(f324,plain,(
% 0.13/0.58 $false),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f319,f27])).
% 0.13/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.60 % Elapsed time: 0.054790 seconds
% 0.13/0.60 % CPU time: 0.197998 seconds
% 0.13/0.60 % Total memory used: 46.051 MB
% 0.13/0.60 % Net memory used: 45.346 MB
%------------------------------------------------------------------------------