%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN010-1 : 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 : n007.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 12:45:29 PM UTC 2026
% Result : Unsatisfiable 3.40s 1.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : HEN010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 20:44:22 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 3.40/1.00 % Refutation found
% 3.40/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.40/1.00 % SZS output start CNFRefutation for theBenchmark
% 3.40/1.00 fof(f1,axiom,(
% 3.40/1.00 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f2,axiom,(
% 3.40/1.00 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f3,axiom,(
% 3.40/1.00 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f4,axiom,(
% 3.40/1.00 (![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) ) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f5,axiom,(
% 3.40/1.00 (![X]: (less_equal(zero,X) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f6,axiom,(
% 3.40/1.00 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f7,axiom,(
% 3.40/1.00 (![X]: (less_equal(X,identity) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f8,axiom,(
% 3.40/1.00 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f9,axiom,(
% 3.40/1.00 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f10,hypothesis,(
% 3.40/1.00 quotient(identity,a,idQa) ),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f11,hypothesis,(
% 3.40/1.00 quotient(identity,idQa,idQ_idQa) ),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f12,hypothesis,(
% 3.40/1.00 quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa) ),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f13,negated_conjecture,(
% 3.40/1.00 idQa != idQa_Q__idQ_idQa ),
% 3.40/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.40/1.00 fof(f14,plain,(
% 3.40/1.00 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f1])).
% 3.40/1.00 fof(f15,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f2])).
% 3.40/1.00 fof(f16,plain,(
% 3.40/1.00 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 3.40/1.00 inference(miniscoping,[status(thm)],[f3])).
% 3.40/1.00 fof(f17,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f16])).
% 3.40/1.00 fof(f18,plain,(
% 3.40/1.00 ![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))),
% 3.40/1.00 inference(miniscoping,[status(thm)],[f4])).
% 3.40/1.00 fof(f19,plain,(
% 3.40/1.00 ![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))),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f18])).
% 3.40/1.00 fof(f20,plain,(
% 3.40/1.00 ![X0]: (less_equal(zero,X0))),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f5])).
% 3.40/1.00 fof(f21,plain,(
% 3.40/1.00 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f6])).
% 3.40/1.00 fof(f22,plain,(
% 3.40/1.00 ![X0]: (less_equal(X0,identity))),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f7])).
% 3.40/1.00 fof(f23,plain,(
% 3.40/1.00 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f8])).
% 3.40/1.00 fof(f24,plain,(
% 3.40/1.00 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 3.40/1.00 inference(miniscoping,[status(thm)],[f9])).
% 3.40/1.00 fof(f25,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f24])).
% 3.40/1.00 fof(f26,plain,(
% 3.40/1.00 quotient(identity,a,idQa)),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f10])).
% 3.40/1.00 fof(f27,plain,(
% 3.40/1.00 quotient(identity,idQa,idQ_idQa)),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f11])).
% 3.40/1.00 fof(f28,plain,(
% 3.40/1.00 quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa)),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f12])).
% 3.40/1.00 fof(f29,plain,(
% 3.40/1.00 ~idQa=idQa_Q__idQ_idQa),
% 3.40/1.00 inference(cnf_transformation,[status(thm)],[f13])).
% 3.40/1.00 fof(f30,plain,(
% 3.40/1.00 ![X0]: (quotient(zero,X0,zero))),
% 3.40/1.00 inference(resolution,[status(thm)],[f20,f14])).
% 3.40/1.00 fof(f31,plain,(
% 3.40/1.00 ![X0]: (quotient(X0,identity,zero))),
% 3.40/1.00 inference(resolution,[status(thm)],[f22,f14])).
% 3.40/1.00 fof(f35,plain,(
% 3.40/1.00 less_equal(idQa_Q__idQ_idQa,idQa)),
% 3.40/1.00 inference(resolution,[status(thm)],[f17,f28])).
% 3.40/1.00 fof(f37,plain,(
% 3.40/1.00 quotient(idQa_Q__idQ_idQa,idQa,zero)),
% 3.40/1.00 inference(resolution,[status(thm)],[f35,f14])).
% 3.40/1.00 fof(f38,plain,(
% 3.40/1.00 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 3.40/1.00 inference(resolution,[status(thm)],[f23,f17])).
% 3.40/1.00 fof(f39,plain,(
% 3.40/1.00 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 3.40/1.00 inference(resolution,[status(thm)],[f38,f14])).
% 3.40/1.00 fof(f46,plain,(
% 3.40/1.00 ![X0,X1,X2,X3,X4]: (~quotient(a,X0,X1)|~quotient(identity,X0,X2)|~quotient(X2,X1,X3)|~quotient(idQa,X0,X4)|less_equal(X3,X4))),
% 3.40/1.00 inference(resolution,[status(thm)],[f19,f26])).
% 3.40/1.00 fof(f50,plain,(
% 3.40/1.00 ![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))),
% 3.40/1.00 inference(resolution,[status(thm)],[f19,f23])).
% 3.40/1.00 fof(f52,plain,(
% 3.40/1.00 ~less_equal(idQa,idQa_Q__idQ_idQa)|idQa_Q__idQ_idQa=idQa),
% 3.40/1.00 inference(resolution,[status(thm)],[f21,f35])).
% 3.40/1.00 fof(f53,plain,(
% 3.40/1.00 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 3.40/1.00 inference(resolution,[status(thm)],[f21,f20])).
% 3.40/1.00 fof(f55,plain,(
% 3.40/1.00 ~less_equal(idQa,idQa_Q__idQ_idQa)),
% 3.40/1.00 inference(forward_subsumption_resolution,[status(thm)],[f52,f29])).
% 3.40/1.00 fof(f61,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(X0,identity,X1)|zero=X1)),
% 3.40/1.00 inference(resolution,[status(thm)],[f25,f31])).
% 3.40/1.00 fof(f62,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(X0,X1,X2)|divide(X0,X1)=X2)),
% 3.40/1.00 inference(resolution,[status(thm)],[f25,f23])).
% 3.40/1.00 fof(f80,plain,(
% 3.40/1.00 ![X0]: (zero=divide(zero,X0))),
% 3.40/1.00 inference(resolution,[status(thm)],[f53,f38])).
% 3.40/1.00 fof(f99,plain,(
% 3.40/1.00 ![X0]: (zero=divide(X0,identity))),
% 3.40/1.00 inference(resolution,[status(thm)],[f61,f23])).
% 3.40/1.00 fof(f104,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(identity,X0,X1)|~quotient(X1,divide(a,X0),X2)|~quotient(idQa,X0,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(resolution,[status(thm)],[f46,f23])).
% 3.40/1.00 fof(f106,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(X0,idQa,X1)|~quotient(X1,zero,X2)|~quotient(divide(X0,idQa_Q__idQ_idQa),idQa,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(resolution,[status(thm)],[f50,f37])).
% 3.40/1.00 fof(f107,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(X0,idQa,X1)|~quotient(X1,idQ_idQa,X2)|~quotient(divide(X0,identity),idQa,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(resolution,[status(thm)],[f50,f27])).
% 3.40/1.00 fof(f108,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(X0,a,X1)|~quotient(X1,idQa,X2)|~quotient(divide(X0,identity),a,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(resolution,[status(thm)],[f50,f26])).
% 3.40/1.00 fof(f109,plain,(
% 3.40/1.00 ![X0,X1,X2,X3,X4]: (~quotient(X0,X1,X2)|~quotient(X2,zero,X3)|~quotient(divide(X0,zero),X1,X4)|less_equal(X3,X4))),
% 3.40/1.00 inference(resolution,[status(thm)],[f50,f30])).
% 3.40/1.00 fof(f110,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(X0,idQ_idQa,X1)|~quotient(X1,idQa_Q__idQ_idQa,X2)|~quotient(divide(X0,idQa),idQ_idQa,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(resolution,[status(thm)],[f50,f28])).
% 3.40/1.00 fof(f112,plain,(
% 3.40/1.00 ![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))),
% 3.40/1.00 inference(resolution,[status(thm)],[f50,f23])).
% 3.40/1.00 fof(f132,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1)|~quotient(divide(X0,idQa),idQ_idQa,X2)|less_equal(X1,X2))),
% 3.40/1.00 inference(resolution,[status(thm)],[f110,f23])).
% 3.40/1.00 fof(f156,plain,(
% 3.40/1.00 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 3.40/1.00 inference(resolution,[status(thm)],[f62,f39])).
% 3.40/1.00 fof(f195,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(divide(X0,idQa),zero,X1)|~quotient(divide(X0,idQa_Q__idQ_idQa),idQa,X2)|less_equal(X1,X2))),
% 3.40/1.00 inference(resolution,[status(thm)],[f106,f23])).
% 3.40/1.00 fof(f292,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(divide(X0,idQa),idQ_idQa,X1)|less_equal(divide(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),X1))),
% 3.40/1.00 inference(resolution,[status(thm)],[f132,f23])).
% 3.40/1.00 fof(f321,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(identity,X0,X1)|~quotient(idQa,X0,X2)|less_equal(divide(X1,divide(a,X0)),X2))),
% 3.40/1.00 inference(resolution,[status(thm)],[f104,f23])).
% 3.40/1.00 fof(f323,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(X0,idQa,X1)|~quotient(X1,idQ_idQa,X2)|~quotient(zero,idQa,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(forward_demodulation,[status(thm)],[f99,f107])).
% 3.40/1.00 fof(f328,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(divide(X0,idQa),idQ_idQa,X1)|~quotient(zero,idQa,X2)|less_equal(X1,X2))),
% 3.40/1.00 inference(resolution,[status(thm)],[f323,f23])).
% 3.40/1.00 fof(f329,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(X0,a,X1)|~quotient(X1,idQa,X2)|~quotient(zero,a,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(forward_demodulation,[status(thm)],[f99,f108])).
% 3.40/1.00 fof(f331,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(idQa,idQa,X0)|~quotient(zero,a,X1)|less_equal(X0,X1))),
% 3.40/1.00 inference(resolution,[status(thm)],[f329,f26])).
% 3.40/1.00 fof(f401,plain,(
% 3.40/1.00 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),zero,X2)|~quotient(divide(X0,zero),X1,X3)|less_equal(X2,X3))),
% 3.40/1.00 inference(resolution,[status(thm)],[f109,f23])).
% 3.40/1.00 fof(f414,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(idQa,divide(X0,a),X1)|~quotient(divide(identity,X0),a,X2)|less_equal(X1,X2))),
% 3.40/1.00 inference(resolution,[status(thm)],[f112,f26])).
% 3.40/1.00 fof(f416,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(idQa_Q__idQ_idQa,divide(X0,idQ_idQa),X1)|~quotient(divide(idQa,X0),idQ_idQa,X2)|less_equal(X1,X2))),
% 3.40/1.00 inference(resolution,[status(thm)],[f112,f28])).
% 3.40/1.00 fof(f520,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(divide(idQa,X0),idQ_idQa,X1)|less_equal(divide(idQa_Q__idQ_idQa,divide(X0,idQ_idQa)),X1))),
% 3.40/1.00 inference(resolution,[status(thm)],[f416,f23])).
% 3.40/1.00 fof(f561,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(divide(X0,idQa_Q__idQ_idQa),idQa,X1)|less_equal(divide(divide(X0,idQa),zero),X1))),
% 3.40/1.00 inference(resolution,[status(thm)],[f195,f23])).
% 3.40/1.00 fof(f571,plain,(
% 3.40/1.00 ![X0]: (~quotient(zero,a,X0)|less_equal(divide(idQa,idQa),X0))),
% 3.40/1.00 inference(resolution,[status(thm)],[f331,f23])).
% 3.40/1.00 fof(f572,plain,(
% 3.40/1.00 less_equal(divide(idQa,idQa),zero)),
% 3.40/1.00 inference(resolution,[status(thm)],[f571,f30])).
% 3.40/1.00 fof(f575,plain,(
% 3.40/1.00 zero=divide(idQa,idQa)),
% 3.40/1.00 inference(resolution,[status(thm)],[f572,f53])).
% 3.40/1.00 fof(f599,plain,(
% 3.40/1.00 quotient(idQa,idQa,zero)),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f575,f23])).
% 3.40/1.00 fof(f654,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),divide(divide(X0,idQa),idQ_idQa)))),
% 3.40/1.00 inference(resolution,[status(thm)],[f292,f23])).
% 3.40/1.00 fof(f766,plain,(
% 3.40/1.00 ![X0]: (~quotient(idQa,idQa,X0)|less_equal(divide(idQ_idQa,divide(a,idQa)),X0))),
% 3.40/1.00 inference(resolution,[status(thm)],[f321,f27])).
% 3.40/1.00 fof(f772,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(zero,idQa,X0)|less_equal(divide(divide(X1,idQa),idQ_idQa),X0))),
% 3.40/1.00 inference(resolution,[status(thm)],[f328,f23])).
% 3.40/1.00 fof(f814,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(idQa_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQa,X0),idQ_idQa)))),
% 3.40/1.00 inference(resolution,[status(thm)],[f520,f23])).
% 3.40/1.00 fof(f981,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(divide(X0,idQa),idQ_idQa),zero))),
% 3.40/1.00 inference(resolution,[status(thm)],[f772,f30])).
% 3.40/1.00 fof(f984,plain,(
% 3.40/1.00 ![X0]: (zero=divide(divide(X0,idQa),idQ_idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f981,f53])).
% 3.40/1.00 fof(f1001,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),zero))),
% 3.40/1.00 inference(backward_demodulation,[status(thm)],[f984,f654])).
% 3.40/1.00 fof(f1022,plain,(
% 3.40/1.00 ![X0]: (quotient(divide(X0,idQa),idQ_idQa,zero))),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f984,f23])).
% 3.40/1.00 fof(f1030,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(X0,idQa),idQ_idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1022,f15])).
% 3.40/1.00 fof(f1054,plain,(
% 3.40/1.00 ![X0,X1,X2]: (~quotient(divide(X0,zero),X1,X2)|less_equal(divide(divide(X0,X1),zero),X2))),
% 3.40/1.00 inference(resolution,[status(thm)],[f401,f23])).
% 3.40/1.00 fof(f1073,plain,(
% 3.40/1.00 ![X0]: (zero=divide(divide(X0,idQ_idQa),idQa_Q__idQ_idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1001,f53])).
% 3.40/1.00 fof(f1109,plain,(
% 3.40/1.00 ![X0]: (quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,zero))),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f1073,f23])).
% 3.40/1.00 fof(f1118,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(X0,idQ_idQa),idQa_Q__idQ_idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1109,f15])).
% 3.40/1.00 fof(f1135,plain,(
% 3.40/1.00 ![X0]: (~less_equal(idQa_Q__idQ_idQa,divide(X0,idQ_idQa))|divide(X0,idQ_idQa)=idQa_Q__idQ_idQa)),
% 3.40/1.00 inference(resolution,[status(thm)],[f1118,f21])).
% 3.40/1.00 fof(f1151,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(divide(X0,idQa),zero),divide(divide(X0,idQa_Q__idQ_idQa),idQa)))),
% 3.40/1.00 inference(resolution,[status(thm)],[f561,f23])).
% 3.40/1.00 fof(f1161,plain,(
% 3.40/1.00 ![X0]: (~less_equal(idQ_idQa,divide(X0,idQa))|divide(X0,idQa)=idQ_idQa)),
% 3.40/1.00 inference(resolution,[status(thm)],[f1030,f21])).
% 3.40/1.00 fof(f1241,plain,(
% 3.40/1.00 less_equal(divide(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)),divide(zero,idQ_idQa))),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f99,f814])).
% 3.40/1.00 fof(f1251,plain,(
% 3.40/1.00 less_equal(divide(idQa_Q__idQ_idQa,divide(identity,idQ_idQa)),zero)),
% 3.40/1.00 inference(forward_demodulation,[status(thm)],[f80,f1241])).
% 3.40/1.00 fof(f1268,plain,(
% 3.40/1.00 zero=divide(idQa_Q__idQ_idQa,divide(identity,idQ_idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1251,f53])).
% 3.40/1.00 fof(f1285,plain,(
% 3.40/1.00 quotient(idQa_Q__idQ_idQa,divide(identity,idQ_idQa),zero)),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f1268,f23])).
% 3.40/1.00 fof(f1295,plain,(
% 3.40/1.00 less_equal(idQa_Q__idQ_idQa,divide(identity,idQ_idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1285,f15])).
% 3.40/1.00 fof(f1309,plain,(
% 3.40/1.00 divide(identity,idQ_idQa)=idQa_Q__idQ_idQa),
% 3.40/1.00 inference(resolution,[status(thm)],[f1295,f1135])).
% 3.40/1.00 fof(f1531,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero),divide(zero,idQa)))),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f156,f1151])).
% 3.40/1.00 fof(f1548,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero),zero))),
% 3.40/1.00 inference(forward_demodulation,[status(thm)],[f80,f1531])).
% 3.40/1.00 fof(f1911,plain,(
% 3.40/1.00 ![X0]: (zero=divide(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1548,f53])).
% 3.40/1.00 fof(f1946,plain,(
% 3.40/1.00 ![X0]: (quotient(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero,zero))),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f1911,f23])).
% 3.40/1.00 fof(f1963,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(divide(idQa_Q__idQ_idQa,X0),idQa),zero))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1946,f15])).
% 3.40/1.00 fof(f1987,plain,(
% 3.40/1.00 ![X0]: (zero=divide(divide(idQa_Q__idQ_idQa,X0),idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f1963,f53])).
% 3.40/1.00 fof(f2073,plain,(
% 3.40/1.00 ![X0]: (quotient(divide(idQa_Q__idQ_idQa,X0),idQa,zero))),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f1987,f23])).
% 3.40/1.00 fof(f2091,plain,(
% 3.40/1.00 ![X0]: (less_equal(divide(idQa_Q__idQ_idQa,X0),idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f2073,f15])).
% 3.40/1.00 fof(f2111,plain,(
% 3.40/1.00 ![X0]: (~less_equal(idQa,divide(idQa_Q__idQ_idQa,X0))|divide(idQa_Q__idQ_idQa,X0)=idQa)),
% 3.40/1.00 inference(resolution,[status(thm)],[f2091,f21])).
% 3.40/1.00 fof(f2544,plain,(
% 3.40/1.00 less_equal(divide(idQ_idQa,divide(a,idQa)),zero)),
% 3.40/1.00 inference(resolution,[status(thm)],[f766,f599])).
% 3.40/1.00 fof(f2547,plain,(
% 3.40/1.00 zero=divide(idQ_idQa,divide(a,idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f2544,f53])).
% 3.40/1.00 fof(f2576,plain,(
% 3.40/1.00 quotient(idQ_idQa,divide(a,idQa),zero)),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f2547,f23])).
% 3.40/1.00 fof(f2625,plain,(
% 3.40/1.00 less_equal(idQ_idQa,divide(a,idQa))),
% 3.40/1.00 inference(resolution,[status(thm)],[f2576,f15])).
% 3.40/1.00 fof(f2638,plain,(
% 3.40/1.00 divide(a,idQa)=idQ_idQa),
% 3.40/1.00 inference(resolution,[status(thm)],[f2625,f1161])).
% 3.40/1.00 fof(f2668,plain,(
% 3.40/1.00 divide(idQ_idQa,a)=zero),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f2638,f156])).
% 3.40/1.00 fof(f2693,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(idQa,zero,X0)|~quotient(divide(identity,idQ_idQa),a,X1)|less_equal(X0,X1))),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f2668,f414])).
% 3.40/1.00 fof(f2714,plain,(
% 3.40/1.00 ![X0,X1]: (~quotient(idQa,zero,X0)|~quotient(idQa_Q__idQ_idQa,a,X1)|less_equal(X0,X1))),
% 3.40/1.00 inference(forward_demodulation,[status(thm)],[f1309,f2693])).
% 3.40/1.00 fof(f2744,plain,(
% 3.40/1.00 ![X0]: (~quotient(idQa_Q__idQ_idQa,a,X0)|less_equal(divide(idQa,zero),X0))),
% 3.40/1.00 inference(resolution,[status(thm)],[f2714,f23])).
% 3.40/1.00 fof(f2745,plain,(
% 3.40/1.00 less_equal(divide(idQa,zero),divide(idQa_Q__idQ_idQa,a))),
% 3.40/1.00 inference(resolution,[status(thm)],[f2744,f23])).
% 3.40/1.00 fof(f2747,plain,(
% 3.40/1.00 quotient(divide(idQa,zero),divide(idQa_Q__idQ_idQa,a),zero)),
% 3.40/1.00 inference(resolution,[status(thm)],[f2745,f14])).
% 3.40/1.00 fof(f2748,plain,(
% 3.40/1.00 less_equal(divide(divide(idQa,divide(idQa_Q__idQ_idQa,a)),zero),zero)),
% 3.40/1.00 inference(resolution,[status(thm)],[f2747,f1054])).
% 3.40/1.00 fof(f4372,plain,(
% 3.40/1.00 zero=divide(divide(idQa,divide(idQa_Q__idQ_idQa,a)),zero)),
% 3.40/1.00 inference(resolution,[status(thm)],[f2748,f53])).
% 3.40/1.00 fof(f4408,plain,(
% 3.40/1.00 quotient(divide(idQa,divide(idQa_Q__idQ_idQa,a)),zero,zero)),
% 3.40/1.00 inference(paramodulation,[status(thm)],[f4372,f23])).
% 3.40/1.01 fof(f4430,plain,(
% 3.40/1.01 less_equal(divide(idQa,divide(idQa_Q__idQ_idQa,a)),zero)),
% 3.40/1.01 inference(resolution,[status(thm)],[f4408,f15])).
% 3.40/1.01 fof(f4445,plain,(
% 3.40/1.01 zero=divide(idQa,divide(idQa_Q__idQ_idQa,a))),
% 3.40/1.01 inference(resolution,[status(thm)],[f4430,f53])).
% 3.40/1.01 fof(f4559,plain,(
% 3.40/1.01 quotient(idQa,divide(idQa_Q__idQ_idQa,a),zero)),
% 3.40/1.01 inference(paramodulation,[status(thm)],[f4445,f23])).
% 3.40/1.01 fof(f4691,plain,(
% 3.40/1.01 less_equal(idQa,divide(idQa_Q__idQ_idQa,a))),
% 3.40/1.01 inference(resolution,[status(thm)],[f4559,f15])).
% 3.40/1.01 fof(f4704,plain,(
% 3.40/1.01 divide(idQa_Q__idQ_idQa,a)=idQa),
% 3.40/1.01 inference(resolution,[status(thm)],[f4691,f2111])).
% 3.40/1.01 fof(f4760,plain,(
% 3.40/1.01 less_equal(idQa,idQa_Q__idQ_idQa)),
% 3.40/1.01 inference(paramodulation,[status(thm)],[f4704,f38])).
% 3.40/1.01 fof(f4772,plain,(
% 3.40/1.01 $false),
% 3.40/1.01 inference(forward_subsumption_resolution,[status(thm)],[f4760,f55])).
% 3.40/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 0.73/1.03 % Elapsed time: 0.570101 seconds
% 0.73/1.03 % CPU time: 4.112244 seconds
% 0.73/1.03 % Total memory used: 74.243 MB
% 0.73/1.03 % Net memory used: 67.789 MB
%------------------------------------------------------------------------------