%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN007-1 : 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 : n019.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 1.27s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:46:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 1.27/0.58 % Refutation found
% 1.27/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.27/0.58 % SZS output start CNFRefutation for theBenchmark
% 1.27/0.58 fof(f1,axiom,(
% 1.27/0.58 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f2,axiom,(
% 1.27/0.58 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f3,axiom,(
% 1.27/0.58 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f4,axiom,(
% 1.27/0.58 (![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) ) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f5,axiom,(
% 1.27/0.58 (![X]: (less_equal(zero,X) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f6,axiom,(
% 1.27/0.58 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f8,axiom,(
% 1.27/0.58 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f9,axiom,(
% 1.27/0.58 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f10,hypothesis,(
% 1.27/0.58 less_equal(x,y) ),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f11,hypothesis,(
% 1.27/0.58 quotient(z,y,zQy) ),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f12,hypothesis,(
% 1.27/0.58 quotient(z,x,zQx) ),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f13,negated_conjecture,(
% 1.27/0.58 ~ less_equal(zQy,zQx) ),
% 1.27/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.27/0.58 fof(f14,plain,(
% 1.27/0.58 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 1.27/0.58 fof(f15,plain,(
% 1.27/0.58 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 1.27/0.58 fof(f16,plain,(
% 1.27/0.58 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 1.27/0.58 inference(miniscoping,[status(thm)],[f3])).
% 1.27/0.58 fof(f17,plain,(
% 1.27/0.58 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f16])).
% 1.27/0.58 fof(f18,plain,(
% 1.27/0.58 ![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))),
% 1.27/0.58 inference(miniscoping,[status(thm)],[f4])).
% 1.27/0.58 fof(f19,plain,(
% 1.27/0.58 ![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))),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f18])).
% 1.27/0.58 fof(f20,plain,(
% 1.27/0.58 ![X0]: (less_equal(zero,X0))),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 1.27/0.58 fof(f21,plain,(
% 1.27/0.58 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 1.27/0.58 fof(f23,plain,(
% 1.27/0.58 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 1.27/0.58 fof(f24,plain,(
% 1.27/0.58 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 1.27/0.58 inference(miniscoping,[status(thm)],[f9])).
% 1.27/0.58 fof(f25,plain,(
% 1.27/0.58 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f24])).
% 1.27/0.58 fof(f26,plain,(
% 1.27/0.58 less_equal(x,y)),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 1.27/0.58 fof(f27,plain,(
% 1.27/0.58 quotient(z,y,zQy)),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f11])).
% 1.27/0.58 fof(f28,plain,(
% 1.27/0.58 quotient(z,x,zQx)),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f12])).
% 1.27/0.58 fof(f29,plain,(
% 1.27/0.58 ~less_equal(zQy,zQx)),
% 1.27/0.58 inference(cnf_transformation,[status(thm)],[f13])).
% 1.27/0.58 fof(f31,plain,(
% 1.27/0.58 less_equal(zQx,z)),
% 1.27/0.58 inference(resolution,[status(thm)],[f28,f17])).
% 1.27/0.58 fof(f34,plain,(
% 1.27/0.58 ![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))),
% 1.27/0.58 inference(resolution,[status(thm)],[f19,f28])).
% 1.27/0.58 fof(f36,plain,(
% 1.27/0.58 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 1.27/0.58 inference(resolution,[status(thm)],[f20,f21])).
% 1.27/0.58 fof(f40,plain,(
% 1.27/0.58 ![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))),
% 1.27/0.58 inference(resolution,[status(thm)],[f23,f19])).
% 1.27/0.58 fof(f41,plain,(
% 1.27/0.58 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 1.27/0.58 inference(resolution,[status(thm)],[f23,f17])).
% 1.27/0.58 fof(f43,plain,(
% 1.27/0.58 ![X0]: (zero=divide(zero,X0))),
% 1.27/0.58 inference(resolution,[status(thm)],[f36,f41])).
% 1.27/0.58 fof(f46,plain,(
% 1.27/0.58 quotient(x,y,zero)),
% 1.27/0.58 inference(resolution,[status(thm)],[f14,f26])).
% 1.27/0.58 fof(f48,plain,(
% 1.27/0.58 quotient(zQx,z,zero)),
% 1.27/0.58 inference(resolution,[status(thm)],[f14,f31])).
% 1.27/0.58 fof(f52,plain,(
% 1.27/0.58 ![X0]: (~quotient(z,y,X0)|zQy=X0)),
% 1.27/0.58 inference(resolution,[status(thm)],[f25,f27])).
% 1.27/0.58 fof(f53,plain,(
% 1.27/0.58 ![X0,X1,X2]: (~quotient(X0,X1,X2)|divide(X0,X1)=X2)),
% 1.27/0.58 inference(resolution,[status(thm)],[f25,f23])).
% 1.27/0.58 fof(f81,plain,(
% 1.27/0.58 ![X0,X1,X2,X3,X4,X5]: (~quotient(X0,X1,X2)|~quotient(X2,divide(X3,X1),X4)|~quotient(divide(X0,X3),X1,X5)|less_equal(X4,X5))),
% 1.27/0.58 inference(resolution,[status(thm)],[f40,f23])).
% 1.27/0.58 fof(f89,plain,(
% 1.27/0.58 ![X0,X1,X2]: (~quotient(z,y,X0)|~quotient(X0,zero,X1)|~quotient(zQx,y,X2)|less_equal(X1,X2))),
% 1.27/0.58 inference(resolution,[status(thm)],[f46,f34])).
% 1.27/0.58 fof(f110,plain,(
% 1.27/0.58 zQy=divide(z,y)),
% 1.27/0.58 inference(resolution,[status(thm)],[f52,f23])).
% 1.27/0.58 fof(f114,plain,(
% 1.27/0.58 divide(zQx,z)=zero),
% 1.27/0.58 inference(resolution,[status(thm)],[f53,f48])).
% 1.27/0.58 fof(f226,plain,(
% 1.27/0.58 ![X0,X1,X2,X3,X4]: (~quotient(divide(X0,X1),divide(X2,X1),X3)|~quotient(divide(X0,X2),X1,X4)|less_equal(X3,X4))),
% 1.27/0.58 inference(resolution,[status(thm)],[f81,f23])).
% 1.27/0.58 fof(f260,plain,(
% 1.27/0.58 ![X0,X1]: (~quotient(zQy,zero,X0)|~quotient(zQx,y,X1)|less_equal(X0,X1))),
% 1.27/0.58 inference(resolution,[status(thm)],[f89,f27])).
% 1.27/0.58 fof(f266,plain,(
% 1.27/0.58 ![X0]: (~quotient(zQx,y,X0)|less_equal(divide(zQy,zero),X0))),
% 1.27/0.58 inference(resolution,[status(thm)],[f260,f23])).
% 1.27/0.58 fof(f276,plain,(
% 1.27/0.58 less_equal(divide(zQy,zero),divide(zQx,y))),
% 1.27/0.58 inference(resolution,[status(thm)],[f266,f23])).
% 1.27/0.58 fof(f277,plain,(
% 1.27/0.58 quotient(divide(zQy,zero),divide(zQx,y),zero)),
% 1.27/0.58 inference(resolution,[status(thm)],[f276,f14])).
% 1.27/0.58 fof(f596,plain,(
% 1.27/0.58 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),X2,X3)|less_equal(divide(divide(X0,X2),divide(X1,X2)),X3))),
% 1.27/0.58 inference(resolution,[status(thm)],[f226,f23])).
% 1.27/0.58 fof(f729,plain,(
% 1.27/0.58 less_equal(divide(divide(zQy,divide(zQx,y)),divide(zero,divide(zQx,y))),zero)),
% 1.27/0.58 inference(resolution,[status(thm)],[f596,f277])).
% 1.27/0.58 fof(f735,plain,(
% 1.27/0.58 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 1.27/0.58 inference(resolution,[status(thm)],[f596,f23])).
% 1.27/0.58 fof(f752,plain,(
% 1.27/0.58 less_equal(divide(divide(zQy,divide(zQx,y)),zero),zero)),
% 1.27/0.58 inference(forward_demodulation,[status(thm)],[f43,f729])).
% 1.27/0.58 fof(f1223,plain,(
% 1.27/0.58 zero=divide(divide(zQy,divide(zQx,y)),zero)),
% 1.27/0.58 inference(resolution,[status(thm)],[f752,f36])).
% 1.27/0.58 fof(f1240,plain,(
% 1.27/0.58 quotient(divide(zQy,divide(zQx,y)),zero,zero)),
% 1.27/0.58 inference(paramodulation,[status(thm)],[f1223,f23])).
% 1.27/0.58 fof(f1257,plain,(
% 1.27/0.58 less_equal(divide(zQy,divide(zQx,y)),zero)),
% 1.27/0.58 inference(resolution,[status(thm)],[f1240,f15])).
% 1.27/0.58 fof(f1272,plain,(
% 1.27/0.58 zero=divide(zQy,divide(zQx,y))),
% 1.27/0.58 inference(resolution,[status(thm)],[f1257,f36])).
% 1.27/0.58 fof(f1292,plain,(
% 1.27/0.58 quotient(zQy,divide(zQx,y),zero)),
% 1.27/0.58 inference(paramodulation,[status(thm)],[f1272,f23])).
% 1.27/0.58 fof(f1297,plain,(
% 1.27/0.58 less_equal(zQy,divide(zQx,y))),
% 1.27/0.58 inference(resolution,[status(thm)],[f1292,f15])).
% 1.27/0.58 fof(f1341,plain,(
% 1.27/0.58 ~less_equal(divide(zQx,y),zQy)|zQy=divide(zQx,y)),
% 1.27/0.58 inference(resolution,[status(thm)],[f1297,f21])).
% 1.27/0.58 fof(f1885,plain,(
% 1.27/0.58 ![X0]: (less_equal(divide(divide(zQx,X0),divide(z,X0)),divide(zero,X0)))),
% 1.27/0.58 inference(paramodulation,[status(thm)],[f114,f735])).
% 1.27/0.58 fof(f1933,plain,(
% 1.27/0.58 ![X0]: (less_equal(divide(divide(zQx,X0),divide(z,X0)),zero))),
% 1.27/0.58 inference(forward_demodulation,[status(thm)],[f43,f1885])).
% 1.27/0.58 fof(f2345,plain,(
% 1.27/0.58 ![X0]: (zero=divide(divide(zQx,X0),divide(z,X0)))),
% 1.27/0.58 inference(resolution,[status(thm)],[f1933,f36])).
% 1.27/0.58 fof(f2375,plain,(
% 1.27/0.58 zero=divide(divide(zQx,y),zQy)),
% 1.27/0.58 inference(paramodulation,[status(thm)],[f110,f2345])).
% 1.27/0.58 fof(f2434,plain,(
% 1.27/0.58 quotient(divide(zQx,y),zQy,zero)),
% 1.27/0.58 inference(paramodulation,[status(thm)],[f2375,f23])).
% 1.27/0.58 fof(f2442,plain,(
% 1.27/0.58 less_equal(divide(zQx,y),zQy)),
% 1.27/0.58 inference(resolution,[status(thm)],[f2434,f15])).
% 1.27/0.58 fof(f2455,plain,(
% 1.27/0.58 zQy=divide(zQx,y)),
% 1.27/0.58 inference(backward_subsumption_resolution,[status(thm)],[f1341,f2442])).
% 1.27/0.58 fof(f2497,plain,(
% 1.27/0.58 less_equal(zQy,zQx)),
% 1.27/0.58 inference(paramodulation,[status(thm)],[f2455,f41])).
% 1.27/0.58 fof(f2507,plain,(
% 1.27/0.58 $false),
% 1.27/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2497,f29])).
% 1.27/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.27/0.60 % Elapsed time: 0.217398 seconds
% 1.27/0.60 % CPU time: 1.486203 seconds
% 1.27/0.60 % Total memory used: 63.270 MB
% 1.27/0.60 % Net memory used: 59.766 MB
%------------------------------------------------------------------------------