%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN008-2 : 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 : n008.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 5.54s 1.18s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:46:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 5.54/1.18 % Refutation found
% 5.54/1.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.54/1.18 % SZS output start CNFRefutation for theBenchmark
% 5.54/1.18 fof(f1,axiom,(
% 5.54/1.18 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f3,axiom,(
% 5.54/1.18 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f4,axiom,(
% 5.54/1.18 (![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) ) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f5,axiom,(
% 5.54/1.18 (![X]: (less_equal(zero,X) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f6,axiom,(
% 5.54/1.18 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f8,axiom,(
% 5.54/1.18 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f9,axiom,(
% 5.54/1.18 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f13,axiom,(
% 5.54/1.18 (![X]: (quotient(X,zero,X) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f15,axiom,(
% 5.54/1.18 (![X,Y,W1,Z,W2]: (( ~ quotient(X,Y,W1)| ~ less_equal(W1,Z)| ~ quotient(X,Z,W2)| less_equal(W2,Y) ) ))),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f17,hypothesis,(
% 5.54/1.18 less_equal(a,b) ),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f18,hypothesis,(
% 5.54/1.18 quotient(a,c,aQc) ),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f19,hypothesis,(
% 5.54/1.18 quotient(b,c,bQc) ),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f20,negated_conjecture,(
% 5.54/1.18 ~ less_equal(aQc,bQc) ),
% 5.54/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.54/1.18 fof(f21,plain,(
% 5.54/1.18 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f1])).
% 5.54/1.18 fof(f23,plain,(
% 5.54/1.18 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 5.54/1.18 inference(miniscoping,[status(thm)],[f3])).
% 5.54/1.18 fof(f24,plain,(
% 5.54/1.18 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f23])).
% 5.54/1.18 fof(f25,plain,(
% 5.54/1.18 ![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))),
% 5.54/1.18 inference(miniscoping,[status(thm)],[f4])).
% 5.54/1.18 fof(f26,plain,(
% 5.54/1.18 ![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))),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f25])).
% 5.54/1.18 fof(f27,plain,(
% 5.54/1.18 ![X0]: (less_equal(zero,X0))),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f5])).
% 5.54/1.18 fof(f28,plain,(
% 5.54/1.18 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f6])).
% 5.54/1.18 fof(f30,plain,(
% 5.54/1.18 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f8])).
% 5.54/1.18 fof(f31,plain,(
% 5.54/1.18 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 5.54/1.18 inference(miniscoping,[status(thm)],[f9])).
% 5.54/1.18 fof(f32,plain,(
% 5.54/1.18 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f31])).
% 5.54/1.18 fof(f36,plain,(
% 5.54/1.18 ![X0]: (quotient(X0,zero,X0))),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f13])).
% 5.54/1.18 fof(f39,plain,(
% 5.54/1.18 ![Y,W2]: ((![X,Z]: ((![W1]: (~quotient(X,Y,W1)|~less_equal(W1,Z)))|~quotient(X,Z,W2)))|less_equal(W2,Y))),
% 5.54/1.18 inference(miniscoping,[status(thm)],[f15])).
% 5.54/1.18 fof(f40,plain,(
% 5.54/1.18 ![X0,X1,X2,X3,X4]: (~quotient(X0,X1,X2)|~less_equal(X2,X3)|~quotient(X0,X3,X4)|less_equal(X4,X1))),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f39])).
% 5.54/1.18 fof(f43,plain,(
% 5.54/1.18 less_equal(a,b)),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f17])).
% 5.54/1.18 fof(f44,plain,(
% 5.54/1.18 quotient(a,c,aQc)),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f18])).
% 5.54/1.18 fof(f45,plain,(
% 5.54/1.18 quotient(b,c,bQc)),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f19])).
% 5.54/1.18 fof(f46,plain,(
% 5.54/1.18 ~less_equal(aQc,bQc)),
% 5.54/1.18 inference(cnf_transformation,[status(thm)],[f20])).
% 5.54/1.18 fof(f56,plain,(
% 5.54/1.18 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 5.54/1.18 inference(resolution,[status(thm)],[f27,f28])).
% 5.54/1.18 fof(f62,plain,(
% 5.54/1.18 ![X0]: (less_equal(X0,X0))),
% 5.54/1.18 inference(resolution,[status(thm)],[f36,f24])).
% 5.54/1.18 fof(f67,plain,(
% 5.54/1.18 quotient(a,b,zero)),
% 5.54/1.18 inference(resolution,[status(thm)],[f21,f43])).
% 5.54/1.18 fof(f75,plain,(
% 5.54/1.18 ![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))),
% 5.54/1.18 inference(resolution,[status(thm)],[f30,f26])).
% 5.54/1.18 fof(f76,plain,(
% 5.54/1.18 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 5.54/1.18 inference(resolution,[status(thm)],[f30,f24])).
% 5.54/1.18 fof(f80,plain,(
% 5.54/1.18 ![X0]: (zero=divide(zero,X0))),
% 5.54/1.18 inference(resolution,[status(thm)],[f56,f76])).
% 5.54/1.18 fof(f86,plain,(
% 5.54/1.18 ![X0,X1,X2,X3]: (~less_equal(divide(X0,X1),X2)|~quotient(X0,X2,X3)|less_equal(X3,X1))),
% 5.54/1.18 inference(resolution,[status(thm)],[f40,f30])).
% 5.54/1.18 fof(f89,plain,(
% 5.54/1.18 ![X0]: (quotient(zero,X0,zero))),
% 5.54/1.18 inference(paramodulation,[status(thm)],[f80,f30])).
% 5.54/1.18 fof(f131,plain,(
% 5.54/1.18 ![X0]: (~quotient(a,b,X0)|zero=X0)),
% 5.54/1.18 inference(resolution,[status(thm)],[f32,f67])).
% 5.54/1.18 fof(f134,plain,(
% 5.54/1.18 ![X0,X1]: (~quotient(X0,zero,X1)|X0=X1)),
% 5.54/1.18 inference(resolution,[status(thm)],[f32,f36])).
% 5.54/1.18 fof(f186,plain,(
% 5.54/1.18 ![X0]: (X0=divide(X0,zero))),
% 5.54/1.18 inference(resolution,[status(thm)],[f134,f30])).
% 5.54/1.18 fof(f217,plain,(
% 5.54/1.18 ![X0,X1,X2,X3]: (~quotient(X0,c,X1)|~quotient(X1,bQc,X2)|~quotient(divide(X0,b),c,X3)|less_equal(X2,X3))),
% 5.54/1.18 inference(resolution,[status(thm)],[f75,f45])).
% 5.54/1.18 fof(f268,plain,(
% 5.54/1.18 ![X0,X1,X2]: (~quotient(X0,divide(X0,X1),X2)|less_equal(X2,X1))),
% 5.54/1.18 inference(resolution,[status(thm)],[f86,f62])).
% 5.54/1.18 fof(f300,plain,(
% 5.54/1.18 zero=divide(a,b)),
% 5.54/1.18 inference(resolution,[status(thm)],[f131,f30])).
% 5.54/1.18 fof(f840,plain,(
% 5.54/1.18 ![X0,X1]: (less_equal(divide(X0,divide(X0,X1)),X1))),
% 5.54/1.18 inference(resolution,[status(thm)],[f268,f30])).
% 5.54/1.18 fof(f1182,plain,(
% 5.54/1.18 ![X0,X1]: (~quotient(aQc,bQc,X0)|~quotient(divide(a,b),c,X1)|less_equal(X0,X1))),
% 5.54/1.18 inference(resolution,[status(thm)],[f217,f44])).
% 5.54/1.18 fof(f1187,plain,(
% 5.54/1.18 ![X0,X1]: (~quotient(aQc,bQc,X0)|~quotient(zero,c,X1)|less_equal(X0,X1))),
% 5.54/1.18 inference(forward_demodulation,[status(thm)],[f300,f1182])).
% 5.54/1.18 fof(f3248,plain,(
% 5.54/1.18 ![X0]: (~quotient(zero,c,X0)|less_equal(divide(aQc,bQc),X0))),
% 5.54/1.18 inference(resolution,[status(thm)],[f1187,f30])).
% 5.54/1.18 fof(f10942,plain,(
% 5.54/1.18 less_equal(divide(aQc,bQc),zero)),
% 5.54/1.18 inference(resolution,[status(thm)],[f3248,f89])).
% 5.54/1.18 fof(f10946,plain,(
% 5.54/1.18 zero=divide(aQc,bQc)),
% 5.54/1.18 inference(resolution,[status(thm)],[f10942,f56])).
% 5.54/1.18 fof(f11035,plain,(
% 5.54/1.18 less_equal(divide(aQc,zero),bQc)),
% 5.54/1.18 inference(paramodulation,[status(thm)],[f10946,f840])).
% 5.54/1.18 fof(f11107,plain,(
% 5.54/1.18 less_equal(aQc,bQc)),
% 5.54/1.18 inference(forward_demodulation,[status(thm)],[f186,f11035])).
% 5.54/1.18 fof(f11108,plain,(
% 5.54/1.18 $false),
% 5.54/1.18 inference(forward_subsumption_resolution,[status(thm)],[f11107,f46])).
% 5.54/1.18 % SZS output end CNFRefutation for theBenchmark.p
% 5.54/1.20 % Elapsed time: 0.817159 seconds
% 5.54/1.20 % CPU time: 6.247782 seconds
% 5.54/1.20 % Total memory used: 77.692 MB
% 5.54/1.20 % Net memory used: 69.251 MB
%------------------------------------------------------------------------------