%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 6.37s 1.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:45:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 6.37/1.36 % Refutation found
% 6.37/1.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.37/1.36 % SZS output start CNFRefutation for theBenchmark
% 6.37/1.36 fof(f1,axiom,(
% 6.37/1.36 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f2,axiom,(
% 6.37/1.36 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f3,axiom,(
% 6.37/1.36 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f4,axiom,(
% 6.37/1.36 (![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) ) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f5,axiom,(
% 6.37/1.36 (![X]: (less_equal(zero,X) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f6,axiom,(
% 6.37/1.36 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f8,axiom,(
% 6.37/1.36 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f9,axiom,(
% 6.37/1.36 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f10,hypothesis,(
% 6.37/1.36 quotient(x,y,xQy) ),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f11,hypothesis,(
% 6.37/1.36 less_equal(xQy,z) ),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f12,hypothesis,(
% 6.37/1.36 quotient(x,z,xQz) ),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f13,negated_conjecture,(
% 6.37/1.36 ~ less_equal(xQz,y) ),
% 6.37/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.37/1.36 fof(f14,plain,(
% 6.37/1.36 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f1])).
% 6.37/1.36 fof(f15,plain,(
% 6.37/1.36 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f2])).
% 6.37/1.36 fof(f16,plain,(
% 6.37/1.36 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 6.37/1.36 inference(miniscoping,[status(thm)],[f3])).
% 6.37/1.36 fof(f17,plain,(
% 6.37/1.36 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f16])).
% 6.37/1.36 fof(f18,plain,(
% 6.37/1.36 ![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))),
% 6.37/1.36 inference(miniscoping,[status(thm)],[f4])).
% 6.37/1.36 fof(f19,plain,(
% 6.37/1.36 ![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))),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f18])).
% 6.37/1.36 fof(f20,plain,(
% 6.37/1.36 ![X0]: (less_equal(zero,X0))),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f5])).
% 6.37/1.36 fof(f21,plain,(
% 6.37/1.36 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f6])).
% 6.37/1.36 fof(f23,plain,(
% 6.37/1.36 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f8])).
% 6.37/1.36 fof(f24,plain,(
% 6.37/1.36 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 6.37/1.36 inference(miniscoping,[status(thm)],[f9])).
% 6.37/1.36 fof(f25,plain,(
% 6.37/1.36 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f24])).
% 6.37/1.36 fof(f26,plain,(
% 6.37/1.36 quotient(x,y,xQy)),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f10])).
% 6.37/1.36 fof(f27,plain,(
% 6.37/1.36 less_equal(xQy,z)),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f11])).
% 6.37/1.36 fof(f28,plain,(
% 6.37/1.36 quotient(x,z,xQz)),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f12])).
% 6.37/1.36 fof(f29,plain,(
% 6.37/1.36 ~less_equal(xQz,y)),
% 6.37/1.36 inference(cnf_transformation,[status(thm)],[f13])).
% 6.37/1.36 fof(f31,plain,(
% 6.37/1.36 less_equal(xQz,x)),
% 6.37/1.36 inference(resolution,[status(thm)],[f28,f17])).
% 6.37/1.36 fof(f34,plain,(
% 6.37/1.36 ![X0,X1,X2,X3,X4]: (~quotient(z,X0,X1)|~quotient(x,X0,X2)|~quotient(X2,X1,X3)|~quotient(xQz,X0,X4)|less_equal(X3,X4))),
% 6.37/1.36 inference(resolution,[status(thm)],[f19,f28])).
% 6.37/1.36 fof(f36,plain,(
% 6.37/1.36 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 6.37/1.36 inference(resolution,[status(thm)],[f20,f21])).
% 6.37/1.36 fof(f39,plain,(
% 6.37/1.36 ![X0,X1,X2,X3]: (~quotient(x,X0,X1)|~quotient(X1,divide(z,X0),X2)|~quotient(xQz,X0,X3)|less_equal(X2,X3))),
% 6.37/1.36 inference(resolution,[status(thm)],[f23,f34])).
% 6.37/1.36 fof(f40,plain,(
% 6.37/1.36 ![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))),
% 6.37/1.36 inference(resolution,[status(thm)],[f23,f19])).
% 6.37/1.36 fof(f41,plain,(
% 6.37/1.36 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 6.37/1.36 inference(resolution,[status(thm)],[f23,f17])).
% 6.37/1.36 fof(f42,plain,(
% 6.37/1.36 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|divide(X0,X1)=X0)),
% 6.37/1.36 inference(resolution,[status(thm)],[f41,f21])).
% 6.37/1.36 fof(f43,plain,(
% 6.37/1.36 ![X0]: (zero=divide(zero,X0))),
% 6.37/1.36 inference(resolution,[status(thm)],[f36,f41])).
% 6.37/1.36 fof(f45,plain,(
% 6.37/1.36 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 6.37/1.36 inference(resolution,[status(thm)],[f14,f41])).
% 6.37/1.36 fof(f47,plain,(
% 6.37/1.36 quotient(xQz,x,zero)),
% 6.37/1.36 inference(resolution,[status(thm)],[f14,f31])).
% 6.37/1.36 fof(f48,plain,(
% 6.37/1.36 quotient(xQy,z,zero)),
% 6.37/1.36 inference(resolution,[status(thm)],[f14,f27])).
% 6.37/1.36 fof(f52,plain,(
% 6.37/1.36 ![X0]: (~quotient(x,y,X0)|xQy=X0)),
% 6.37/1.36 inference(resolution,[status(thm)],[f25,f26])).
% 6.37/1.36 fof(f53,plain,(
% 6.37/1.36 ![X0,X1,X2]: (~quotient(X0,X1,X2)|divide(X0,X1)=X2)),
% 6.37/1.36 inference(resolution,[status(thm)],[f25,f23])).
% 6.37/1.36 fof(f81,plain,(
% 6.37/1.36 ![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))),
% 6.37/1.36 inference(resolution,[status(thm)],[f40,f23])).
% 6.37/1.36 fof(f90,plain,(
% 6.37/1.36 ![X0,X1,X2,X3]: (~quotient(X0,z,X1)|~quotient(X1,zero,X2)|~quotient(divide(X0,xQy),z,X3)|less_equal(X2,X3))),
% 6.37/1.36 inference(resolution,[status(thm)],[f48,f40])).
% 6.37/1.36 fof(f109,plain,(
% 6.37/1.36 xQy=divide(x,y)),
% 6.37/1.36 inference(resolution,[status(thm)],[f52,f23])).
% 6.37/1.36 fof(f110,plain,(
% 6.37/1.36 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 6.37/1.36 inference(resolution,[status(thm)],[f53,f45])).
% 6.37/1.36 fof(f113,plain,(
% 6.37/1.36 divide(xQz,x)=zero),
% 6.37/1.36 inference(resolution,[status(thm)],[f53,f47])).
% 6.37/1.36 fof(f133,plain,(
% 6.37/1.36 ![X0,X1,X2]: (~quotient(x,X0,X1)|~quotient(xQz,X0,X2)|less_equal(divide(X1,divide(z,X0)),X2))),
% 6.37/1.36 inference(resolution,[status(thm)],[f39,f23])).
% 6.37/1.36 fof(f218,plain,(
% 6.37/1.36 ![X0,X1,X2,X3,X4]: (~quotient(divide(X0,X1),divide(X2,X1),X3)|~quotient(divide(X0,X2),X1,X4)|less_equal(X3,X4))),
% 6.37/1.36 inference(resolution,[status(thm)],[f81,f23])).
% 6.37/1.36 fof(f256,plain,(
% 6.37/1.36 ![X0,X1,X2]: (~quotient(divide(X0,z),zero,X1)|~quotient(divide(X0,xQy),z,X2)|less_equal(X1,X2))),
% 6.37/1.36 inference(resolution,[status(thm)],[f90,f23])).
% 6.37/1.36 fof(f349,plain,(
% 6.37/1.36 ![X0]: (~quotient(xQz,z,X0)|less_equal(divide(xQz,divide(z,z)),X0))),
% 6.37/1.36 inference(resolution,[status(thm)],[f133,f28])).
% 6.37/1.36 fof(f356,plain,(
% 6.37/1.36 less_equal(divide(xQz,divide(z,z)),divide(xQz,z))),
% 6.37/1.36 inference(resolution,[status(thm)],[f349,f23])).
% 6.37/1.36 fof(f357,plain,(
% 6.37/1.36 quotient(divide(xQz,divide(z,z)),divide(xQz,z),zero)),
% 6.37/1.36 inference(resolution,[status(thm)],[f356,f14])).
% 6.37/1.36 fof(f536,plain,(
% 6.37/1.36 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),X2,X3)|less_equal(divide(divide(X0,X2),divide(X1,X2)),X3))),
% 6.37/1.36 inference(resolution,[status(thm)],[f218,f23])).
% 6.37/1.36 fof(f563,plain,(
% 6.37/1.36 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),zero,X2)|~quotient(divide(X0,zero),X1,X3)|less_equal(X2,X3))),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f43,f218])).
% 6.37/1.36 fof(f677,plain,(
% 6.37/1.36 ![X0,X1]: (~quotient(divide(X0,xQy),z,X1)|less_equal(divide(divide(X0,z),zero),X1))),
% 6.37/1.36 inference(resolution,[status(thm)],[f256,f23])).
% 6.37/1.36 fof(f787,plain,(
% 6.37/1.36 ![X0,X1]: (less_equal(divide(divide(X0,X0),divide(X1,X0)),zero))),
% 6.37/1.36 inference(resolution,[status(thm)],[f536,f45])).
% 6.37/1.36 fof(f789,plain,(
% 6.37/1.36 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 6.37/1.36 inference(resolution,[status(thm)],[f536,f23])).
% 6.37/1.36 fof(f812,plain,(
% 6.37/1.36 ![X0,X1]: (zero=divide(divide(X0,X0),divide(X1,X0)))),
% 6.37/1.36 inference(resolution,[status(thm)],[f787,f36])).
% 6.37/1.36 fof(f854,plain,(
% 6.37/1.36 ![X0]: (zero=divide(divide(X0,X0),zero))),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f110,f812])).
% 6.37/1.36 fof(f896,plain,(
% 6.37/1.36 ![X0]: (quotient(divide(X0,X0),zero,zero))),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f854,f23])).
% 6.37/1.36 fof(f905,plain,(
% 6.37/1.36 ![X0]: (less_equal(divide(X0,X0),zero))),
% 6.37/1.36 inference(resolution,[status(thm)],[f896,f15])).
% 6.37/1.36 fof(f923,plain,(
% 6.37/1.36 ![X0]: (zero=divide(X0,X0))),
% 6.37/1.36 inference(resolution,[status(thm)],[f905,f36])).
% 6.37/1.36 fof(f935,plain,(
% 6.37/1.36 quotient(divide(xQz,zero),divide(xQz,z),zero)),
% 6.37/1.36 inference(backward_demodulation,[status(thm)],[f923,f357])).
% 6.37/1.36 fof(f990,plain,(
% 6.37/1.36 ![X0]: (quotient(X0,X0,zero))),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f923,f23])).
% 6.37/1.36 fof(f1228,plain,(
% 6.37/1.36 less_equal(divide(divide(xQz,divide(xQz,z)),divide(zero,divide(xQz,z))),zero)),
% 6.37/1.36 inference(resolution,[status(thm)],[f935,f536])).
% 6.37/1.36 fof(f1241,plain,(
% 6.37/1.36 less_equal(divide(divide(xQz,divide(xQz,z)),zero),zero)),
% 6.37/1.36 inference(forward_demodulation,[status(thm)],[f43,f1228])).
% 6.37/1.36 fof(f1588,plain,(
% 6.37/1.36 zero=divide(divide(xQz,divide(xQz,z)),zero)),
% 6.37/1.36 inference(resolution,[status(thm)],[f1241,f36])).
% 6.37/1.36 fof(f1607,plain,(
% 6.37/1.36 quotient(divide(xQz,divide(xQz,z)),zero,zero)),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f1588,f23])).
% 6.37/1.36 fof(f1618,plain,(
% 6.37/1.36 less_equal(divide(xQz,divide(xQz,z)),zero)),
% 6.37/1.36 inference(resolution,[status(thm)],[f1607,f15])).
% 6.37/1.36 fof(f1647,plain,(
% 6.37/1.36 zero=divide(xQz,divide(xQz,z))),
% 6.37/1.36 inference(resolution,[status(thm)],[f1618,f36])).
% 6.37/1.36 fof(f1669,plain,(
% 6.37/1.36 quotient(xQz,divide(xQz,z),zero)),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f1647,f23])).
% 6.37/1.36 fof(f1674,plain,(
% 6.37/1.36 less_equal(xQz,divide(xQz,z))),
% 6.37/1.36 inference(resolution,[status(thm)],[f1669,f15])).
% 6.37/1.36 fof(f1686,plain,(
% 6.37/1.36 divide(xQz,z)=xQz),
% 6.37/1.36 inference(resolution,[status(thm)],[f1674,f42])).
% 6.37/1.36 fof(f1759,plain,(
% 6.37/1.36 ![X0,X1,X2]: (~less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))|divide(divide(X0,X2),divide(X1,X2))=divide(divide(X0,X1),X2))),
% 6.37/1.36 inference(resolution,[status(thm)],[f789,f21])).
% 6.37/1.36 fof(f1784,plain,(
% 6.37/1.36 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)))),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f110,f789])).
% 6.37/1.36 fof(f1807,plain,(
% 6.37/1.36 ![X0,X1,X2]: (less_equal(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2)))),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f110,f789])).
% 6.37/1.36 fof(f1810,plain,(
% 6.37/1.36 ![X0]: (less_equal(divide(divide(xQz,X0),divide(x,X0)),divide(zero,X0)))),
% 6.37/1.36 inference(paramodulation,[status(thm)],[f113,f789])).
% 6.37/1.37 fof(f1855,plain,(
% 6.37/1.37 ![X0,X1,X2]: (less_equal(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero))),
% 6.37/1.37 inference(forward_demodulation,[status(thm)],[f43,f1807])).
% 6.37/1.37 fof(f1857,plain,(
% 6.37/1.37 ![X0]: (less_equal(divide(divide(xQz,X0),divide(x,X0)),zero))),
% 6.37/1.37 inference(forward_demodulation,[status(thm)],[f43,f1810])).
% 6.37/1.37 fof(f2176,plain,(
% 6.37/1.37 ![X0]: (zero=divide(divide(xQz,X0),divide(x,X0)))),
% 6.37/1.37 inference(resolution,[status(thm)],[f1857,f36])).
% 6.37/1.37 fof(f2209,plain,(
% 6.37/1.37 zero=divide(divide(xQz,y),xQy)),
% 6.37/1.37 inference(paramodulation,[status(thm)],[f109,f2176])).
% 6.37/1.37 fof(f2494,plain,(
% 6.37/1.37 ![X0,X1,X2]: (~quotient(divide(X0,zero),X1,X2)|less_equal(divide(divide(X0,X1),zero),X2))),
% 6.37/1.37 inference(resolution,[status(thm)],[f563,f23])).
% 6.37/1.37 fof(f2690,plain,(
% 6.37/1.37 ![X0]: (less_equal(divide(divide(X0,z),zero),divide(divide(X0,xQy),z)))),
% 6.37/1.37 inference(resolution,[status(thm)],[f677,f23])).
% 6.37/1.37 fof(f2975,plain,(
% 6.37/1.37 ![X0,X1,X2]: (zero=divide(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 6.37/1.37 inference(resolution,[status(thm)],[f1855,f36])).
% 6.37/1.37 fof(f3188,plain,(
% 6.37/1.37 ![X0,X1,X2]: (quotient(divide(divide(X0,X1),X2),divide(X0,X2),zero))),
% 6.37/1.37 inference(paramodulation,[status(thm)],[f2975,f23])).
% 6.37/1.37 fof(f3614,plain,(
% 6.37/1.37 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 6.37/1.37 inference(resolution,[status(thm)],[f3188,f15])).
% 6.37/1.37 fof(f8714,plain,(
% 6.37/1.37 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 6.37/1.37 inference(resolution,[status(thm)],[f2494,f990])).
% 6.37/1.37 fof(f8757,plain,(
% 6.37/1.37 ![X0]: (zero=divide(divide(X0,divide(X0,zero)),zero))),
% 6.37/1.37 inference(resolution,[status(thm)],[f8714,f36])).
% 6.37/1.37 fof(f8868,plain,(
% 6.37/1.37 ![X0]: (quotient(divide(X0,divide(X0,zero)),zero,zero))),
% 6.37/1.37 inference(paramodulation,[status(thm)],[f8757,f23])).
% 6.37/1.37 fof(f8918,plain,(
% 6.37/1.37 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 6.37/1.37 inference(resolution,[status(thm)],[f8868,f15])).
% 6.37/1.37 fof(f8947,plain,(
% 6.37/1.37 ![X0]: (zero=divide(X0,divide(X0,zero)))),
% 6.37/1.37 inference(resolution,[status(thm)],[f8918,f36])).
% 6.37/1.37 fof(f9162,plain,(
% 6.37/1.37 ![X0]: (quotient(X0,divide(X0,zero),zero))),
% 6.37/1.37 inference(paramodulation,[status(thm)],[f8947,f23])).
% 6.37/1.40 fof(f9346,plain,(
% 6.37/1.40 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 6.37/1.40 inference(resolution,[status(thm)],[f9162,f15])).
% 6.37/1.40 fof(f9383,plain,(
% 6.37/1.40 ![X0]: (divide(X0,zero)=X0)),
% 6.37/1.40 inference(resolution,[status(thm)],[f9346,f42])).
% 6.37/1.40 fof(f9400,plain,(
% 6.37/1.40 ![X0]: (less_equal(divide(X0,z),divide(divide(X0,xQy),z)))),
% 6.37/1.40 inference(backward_demodulation,[status(thm)],[f9383,f2690])).
% 6.37/1.40 fof(f10979,plain,(
% 6.37/1.40 ![X0]: (~less_equal(divide(divide(X0,xQy),z),divide(X0,z))|divide(X0,z)=divide(divide(X0,xQy),z))),
% 6.37/1.40 inference(resolution,[status(thm)],[f9400,f21])).
% 6.37/1.40 fof(f11006,plain,(
% 6.37/1.40 ![X0]: (divide(X0,z)=divide(divide(X0,xQy),z))),
% 6.37/1.40 inference(forward_subsumption_resolution,[status(thm)],[f10979,f3614])).
% 6.37/1.40 fof(f11588,plain,(
% 6.37/1.40 ![X0]: (less_equal(divide(X0,z),divide(X0,xQy)))),
% 6.37/1.40 inference(paramodulation,[status(thm)],[f11006,f41])).
% 6.37/1.40 fof(f11757,plain,(
% 6.37/1.40 less_equal(xQz,divide(xQz,xQy))),
% 6.37/1.40 inference(paramodulation,[status(thm)],[f1686,f11588])).
% 6.37/1.40 fof(f11784,plain,(
% 6.37/1.40 divide(xQz,xQy)=xQz),
% 6.37/1.40 inference(resolution,[status(thm)],[f11757,f42])).
% 6.37/1.40 fof(f12835,plain,(
% 6.37/1.40 ~less_equal(zero,divide(divide(xQz,xQy),divide(y,xQy)))|divide(divide(xQz,xQy),divide(y,xQy))=divide(divide(xQz,y),xQy)),
% 6.37/1.40 inference(paramodulation,[status(thm)],[f2209,f1759])).
% 6.37/1.40 fof(f13058,plain,(
% 6.37/1.40 ~less_equal(zero,divide(xQz,divide(y,xQy)))|divide(divide(xQz,xQy),divide(y,xQy))=divide(divide(xQz,y),xQy)),
% 6.37/1.40 inference(forward_demodulation,[status(thm)],[f11784,f12835])).
% 6.37/1.40 fof(f13059,plain,(
% 6.37/1.40 ~less_equal(zero,divide(xQz,divide(y,xQy)))|divide(xQz,divide(y,xQy))=divide(divide(xQz,y),xQy)),
% 6.37/1.40 inference(forward_demodulation,[status(thm)],[f11784,f13058])).
% 6.37/1.40 fof(f13060,plain,(
% 6.37/1.40 ~less_equal(zero,divide(xQz,divide(y,xQy)))|divide(xQz,divide(y,xQy))=zero),
% 6.37/1.40 inference(forward_demodulation,[status(thm)],[f2209,f13059])).
% 6.37/1.40 fof(f13061,plain,(
% 6.37/1.40 divide(xQz,divide(y,xQy))=zero),
% 6.37/1.40 inference(forward_subsumption_resolution,[status(thm)],[f13060,f20])).
% 6.37/1.40 fof(f14097,plain,(
% 6.37/1.40 ![X0,X1,X2]: (less_equal(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)))),
% 6.37/1.40 inference(forward_demodulation,[status(thm)],[f9383,f1784])).
% 6.37/1.40 fof(f14183,plain,(
% 6.37/1.40 less_equal(divide(xQz,y),divide(zero,y))),
% 6.37/1.40 inference(paramodulation,[status(thm)],[f13061,f14097])).
% 6.37/1.40 fof(f14308,plain,(
% 6.37/1.40 less_equal(divide(xQz,y),zero)),
% 6.37/1.40 inference(forward_demodulation,[status(thm)],[f43,f14183])).
% 6.37/1.40 fof(f14365,plain,(
% 6.37/1.40 zero=divide(xQz,y)),
% 6.37/1.40 inference(resolution,[status(thm)],[f14308,f36])).
% 6.37/1.40 fof(f14469,plain,(
% 6.37/1.40 quotient(xQz,y,zero)),
% 6.37/1.40 inference(paramodulation,[status(thm)],[f14365,f23])).
% 6.37/1.40 fof(f14604,plain,(
% 6.37/1.40 less_equal(xQz,y)),
% 6.37/1.40 inference(resolution,[status(thm)],[f14469,f15])).
% 6.37/1.40 fof(f14621,plain,(
% 6.37/1.40 $false),
% 6.37/1.40 inference(forward_subsumption_resolution,[status(thm)],[f14604,f29])).
% 6.37/1.40 % SZS output end CNFRefutation for theBenchmark.p
% 6.37/1.41 % Elapsed time: 1.020101 seconds
% 6.37/1.41 % CPU time: 7.737447 seconds
% 6.37/1.41 % Total memory used: 97.523 MB
% 6.37/1.41 % Net memory used: 88.361 MB
%------------------------------------------------------------------------------