%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN009-1 : 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 : n012.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 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HEN009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 20:46:23 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (![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) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,axiom,(
% 0.10/0.41 (![X]: (less_equal(zero,X) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f6,axiom,(
% 0.10/0.41 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,axiom,(
% 0.10/0.41 (![X]: (less_equal(X,identity) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,axiom,(
% 0.10/0.41 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,axiom,(
% 0.10/0.41 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,hypothesis,(
% 0.10/0.41 quotient(identity,a,idQa) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f11,hypothesis,(
% 0.10/0.41 quotient(identity,idQa,idQ_idQa) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,hypothesis,(
% 0.10/0.41 quotient(identity,idQ_idQa,idQ__idQ_idQa) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f13,negated_conjecture,(
% 0.10/0.41 idQa != idQ__idQ_idQa ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f14,plain,(
% 0.10/0.41 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f15,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f16,plain,(
% 0.10/0.41 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.41 fof(f17,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.41 fof(f18,plain,(
% 0.10/0.41 ![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))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.41 fof(f19,plain,(
% 0.10/0.41 ![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))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.41 fof(f20,plain,(
% 0.10/0.41 ![X0]: (less_equal(zero,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f21,plain,(
% 0.10/0.41 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.41 fof(f22,plain,(
% 0.10/0.41 ![X0]: (less_equal(X0,identity))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.41 fof(f23,plain,(
% 0.10/0.41 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f24,plain,(
% 0.10/0.41 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f9])).
% 0.10/0.41 fof(f25,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.41 fof(f26,plain,(
% 0.10/0.41 quotient(identity,a,idQa)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f27,plain,(
% 0.10/0.41 quotient(identity,idQa,idQ_idQa)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f28,plain,(
% 0.10/0.41 quotient(identity,idQ_idQa,idQ__idQ_idQa)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f29,plain,(
% 0.10/0.41 ~idQa=idQ__idQ_idQa),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f30,plain,(
% 0.10/0.41 ![X0]: (quotient(zero,X0,zero))),
% 0.10/0.41 inference(resolution,[status(thm)],[f20,f14])).
% 0.10/0.41 fof(f31,plain,(
% 0.10/0.41 ![X0]: (quotient(X0,identity,zero))),
% 0.10/0.41 inference(resolution,[status(thm)],[f22,f14])).
% 0.10/0.41 fof(f37,plain,(
% 0.10/0.41 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f23,f17])).
% 0.10/0.41 fof(f38,plain,(
% 0.10/0.41 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 0.10/0.41 inference(resolution,[status(thm)],[f37,f14])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|divide(X0,X1)=X0)),
% 0.10/0.41 inference(resolution,[status(thm)],[f21,f37])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 0.10/0.41 inference(resolution,[status(thm)],[f21,f20])).
% 0.10/0.41 fof(f49,plain,(
% 0.10/0.41 ![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))),
% 0.10/0.41 inference(resolution,[status(thm)],[f19,f26])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 ![X0,X1,X2,X3,X4]: (~quotient(idQ_idQa,X0,X1)|~quotient(identity,X0,X2)|~quotient(X2,X1,X3)|~quotient(idQ__idQ_idQa,X0,X4)|less_equal(X3,X4))),
% 0.10/0.41 inference(resolution,[status(thm)],[f19,f28])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 ![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))),
% 0.10/0.41 inference(resolution,[status(thm)],[f19,f23])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 ![X0]: (~quotient(identity,idQa,X0)|idQ_idQa=X0)),
% 0.10/0.41 inference(resolution,[status(thm)],[f25,f27])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(X0,identity,X1)|zero=X1)),
% 0.10/0.41 inference(resolution,[status(thm)],[f25,f31])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(X0,X1,X2)|divide(X0,X1)=X2)),
% 0.10/0.41 inference(resolution,[status(thm)],[f25,f23])).
% 0.10/0.41 fof(f68,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(identity,X0,X1)|~quotient(X1,divide(idQ_idQa,X0),X2)|~quotient(idQ__idQ_idQa,X0,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(resolution,[status(thm)],[f50,f23])).
% 0.10/0.41 fof(f79,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(identity,X0,X1)|~quotient(idQ__idQ_idQa,X0,X2)|less_equal(divide(X1,divide(idQ_idQa,X0)),X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f68,f23])).
% 0.10/0.41 fof(f93,plain,(
% 0.10/0.41 ![X0]: (zero=divide(X0,identity))),
% 0.10/0.41 inference(resolution,[status(thm)],[f58,f23])).
% 0.10/0.41 fof(f102,plain,(
% 0.10/0.41 idQ_idQa=divide(identity,idQa)),
% 0.10/0.41 inference(resolution,[status(thm)],[f55,f23])).
% 0.10/0.41 fof(f106,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(identity,X0,X1)|~quotient(X1,divide(a,X0),X2)|~quotient(idQa,X0,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(resolution,[status(thm)],[f49,f23])).
% 0.10/0.41 fof(f108,plain,(
% 0.10/0.41 ![X0,X1,X2,X3,X4]: (~quotient(X0,X1,X2)|~quotient(X2,zero,X3)|~quotient(divide(X0,zero),X1,X4)|less_equal(X3,X4))),
% 0.10/0.41 inference(resolution,[status(thm)],[f52,f30])).
% 0.10/0.41 fof(f109,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(X0,idQa,X1)|~quotient(X1,idQ_idQa,X2)|~quotient(divide(X0,identity),idQa,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(resolution,[status(thm)],[f52,f27])).
% 0.10/0.41 fof(f110,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(X0,a,X1)|~quotient(X1,idQa,X2)|~quotient(divide(X0,identity),a,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(resolution,[status(thm)],[f52,f26])).
% 0.10/0.41 fof(f111,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(X0,idQ_idQa,X1)|~quotient(X1,idQ__idQ_idQa,X2)|~quotient(divide(X0,identity),idQ_idQa,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(resolution,[status(thm)],[f52,f28])).
% 0.10/0.41 fof(f113,plain,(
% 0.10/0.41 ![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))),
% 0.10/0.41 inference(resolution,[status(thm)],[f52,f23])).
% 0.10/0.41 fof(f114,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(X0,idQa,X1)|~quotient(X1,idQ_idQa,X2)|~quotient(zero,idQa,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f93,f109])).
% 0.10/0.41 fof(f115,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(X0,a,X1)|~quotient(X1,idQa,X2)|~quotient(zero,a,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f93,f110])).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(X0,idQ_idQa,X1)|~quotient(X1,idQ__idQ_idQa,X2)|~quotient(zero,idQ_idQa,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f93,f111])).
% 0.10/0.41 fof(f124,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(divide(X0,idQ_idQa),idQ__idQ_idQa,X1)|~quotient(zero,idQ_idQa,X2)|less_equal(X1,X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f116,f23])).
% 0.10/0.41 fof(f133,plain,(
% 0.10/0.41 ![X0]: (~quotient(idQ__idQ_idQa,a,X0)|less_equal(divide(idQa,divide(idQ_idQa,a)),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f79,f26])).
% 0.10/0.41 fof(f139,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(zero,idQ_idQa,X0)|less_equal(divide(divide(X1,idQ_idQa),idQ__idQ_idQa),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f124,f23])).
% 0.10/0.41 fof(f150,plain,(
% 0.10/0.41 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f59,f38])).
% 0.10/0.41 fof(f219,plain,(
% 0.10/0.41 less_equal(divide(idQa,divide(idQ_idQa,a)),divide(idQ__idQ_idQa,a))),
% 0.10/0.41 inference(resolution,[status(thm)],[f133,f23])).
% 0.10/0.41 fof(f235,plain,(
% 0.10/0.41 quotient(divide(idQa,divide(idQ_idQa,a)),divide(idQ__idQ_idQa,a),zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f219,f14])).
% 0.10/0.41 fof(f238,plain,(
% 0.10/0.41 ![X0]: (less_equal(divide(divide(X0,idQ_idQa),idQ__idQ_idQa),zero))),
% 0.10/0.41 inference(resolution,[status(thm)],[f139,f30])).
% 0.10/0.41 fof(f251,plain,(
% 0.10/0.41 ![X0]: (zero=divide(divide(X0,idQ_idQa),idQ__idQ_idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f238,f44])).
% 0.10/0.41 fof(f274,plain,(
% 0.10/0.41 ![X0]: (quotient(divide(X0,idQ_idQa),idQ__idQ_idQa,zero))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f251,f23])).
% 0.10/0.41 fof(f283,plain,(
% 0.10/0.41 ![X0]: (less_equal(divide(X0,idQ_idQa),idQ__idQ_idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f274,f15])).
% 0.10/0.41 fof(f293,plain,(
% 0.10/0.41 ![X0]: (~less_equal(idQ__idQ_idQa,divide(X0,idQ_idQa))|divide(X0,idQ_idQa)=idQ__idQ_idQa)),
% 0.10/0.41 inference(resolution,[status(thm)],[f283,f21])).
% 0.10/0.41 fof(f338,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(identity,X0,X1)|~quotient(idQa,X0,X2)|less_equal(divide(X1,divide(a,X0)),X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f106,f23])).
% 0.10/0.41 fof(f348,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),zero,X2)|~quotient(divide(X0,zero),X1,X3)|less_equal(X2,X3))),
% 0.10/0.41 inference(resolution,[status(thm)],[f108,f23])).
% 0.10/0.41 fof(f352,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(idQ_idQa,idQ_idQa,X0)|~quotient(zero,idQa,X1)|less_equal(X0,X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f114,f27])).
% 0.10/0.41 fof(f353,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(divide(X0,idQa),idQ_idQa,X1)|~quotient(zero,idQa,X2)|less_equal(X1,X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f114,f23])).
% 0.10/0.41 fof(f390,plain,(
% 0.10/0.41 ![X0]: (~quotient(zero,idQa,X0)|less_equal(divide(idQ_idQa,idQ_idQa),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f352,f23])).
% 0.10/0.41 fof(f391,plain,(
% 0.10/0.41 less_equal(divide(idQ_idQa,idQ_idQa),zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f390,f30])).
% 0.10/0.41 fof(f396,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(idQa,idQa,X0)|~quotient(zero,a,X1)|less_equal(X0,X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f115,f26])).
% 0.10/0.41 fof(f397,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(divide(X0,a),idQa,X1)|~quotient(zero,a,X2)|less_equal(X1,X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f115,f23])).
% 0.10/0.41 fof(f411,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(idQ__idQ_idQa,divide(X0,idQ_idQa),X1)|~quotient(divide(identity,X0),idQ_idQa,X2)|less_equal(X1,X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f113,f28])).
% 0.10/0.41 fof(f427,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(divide(identity,X0),idQ_idQa,X1)|less_equal(divide(idQ__idQ_idQa,divide(X0,idQ_idQa)),X1))),
% 0.10/0.41 inference(resolution,[status(thm)],[f411,f23])).
% 0.10/0.41 fof(f460,plain,(
% 0.10/0.41 ![X0]: (less_equal(divide(idQ__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(identity,X0),idQ_idQa)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f427,f23])).
% 0.10/0.41 fof(f468,plain,(
% 0.10/0.41 zero=divide(idQ_idQa,idQ_idQa)),
% 0.10/0.41 inference(resolution,[status(thm)],[f391,f44])).
% 0.10/0.41 fof(f574,plain,(
% 0.10/0.41 less_equal(divide(idQ__idQ_idQa,divide(idQa,idQ_idQa)),divide(idQ_idQa,idQ_idQa))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f102,f460])).
% 0.10/0.41 fof(f581,plain,(
% 0.10/0.41 less_equal(divide(idQ__idQ_idQa,divide(idQa,idQ_idQa)),zero)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f468,f574])).
% 0.10/0.41 fof(f590,plain,(
% 0.10/0.41 zero=divide(idQ__idQ_idQa,divide(idQa,idQ_idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f581,f44])).
% 0.10/0.41 fof(f602,plain,(
% 0.10/0.41 quotient(idQ__idQ_idQa,divide(idQa,idQ_idQa),zero)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f590,f23])).
% 0.10/0.41 fof(f609,plain,(
% 0.10/0.41 less_equal(idQ__idQ_idQa,divide(idQa,idQ_idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f602,f15])).
% 0.10/0.41 fof(f621,plain,(
% 0.10/0.41 divide(idQa,idQ_idQa)=idQ__idQ_idQa),
% 0.10/0.41 inference(resolution,[status(thm)],[f609,f293])).
% 0.10/0.41 fof(f638,plain,(
% 0.10/0.41 ~less_equal(idQa,idQ__idQ_idQa)|divide(idQa,idQ_idQa)=idQa),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f621,f43])).
% 0.10/0.41 fof(f647,plain,(
% 0.10/0.41 ~less_equal(idQa,idQ__idQ_idQa)|idQ__idQ_idQa=idQa),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f621,f638])).
% 0.10/0.41 fof(f648,plain,(
% 0.10/0.41 ~less_equal(idQa,idQ__idQ_idQa)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f647,f29])).
% 0.10/0.41 fof(f936,plain,(
% 0.10/0.41 ![X0]: (~quotient(zero,a,X0)|less_equal(divide(idQa,idQa),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f396,f23])).
% 0.10/0.41 fof(f937,plain,(
% 0.10/0.41 less_equal(divide(idQa,idQa),zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f936,f30])).
% 0.10/0.41 fof(f940,plain,(
% 0.10/0.41 zero=divide(idQa,idQa)),
% 0.10/0.41 inference(resolution,[status(thm)],[f937,f44])).
% 0.10/0.41 fof(f953,plain,(
% 0.10/0.41 quotient(idQa,idQa,zero)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f940,f23])).
% 0.10/0.41 fof(f964,plain,(
% 0.10/0.41 ![X0]: (~quotient(idQa,idQa,X0)|less_equal(divide(idQ_idQa,divide(a,idQa)),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f338,f27])).
% 0.10/0.41 fof(f1194,plain,(
% 0.10/0.41 ![X0,X1,X2]: (~quotient(divide(X0,zero),X1,X2)|less_equal(divide(divide(X0,X1),zero),X2))),
% 0.10/0.41 inference(resolution,[status(thm)],[f348,f23])).
% 0.10/0.41 fof(f1216,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(zero,idQa,X0)|less_equal(divide(divide(X1,idQa),idQ_idQa),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f353,f23])).
% 0.10/0.41 fof(f1224,plain,(
% 0.10/0.41 ![X0,X1]: (~quotient(zero,a,X0)|less_equal(divide(divide(X1,a),idQa),X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f397,f23])).
% 0.10/0.41 fof(f1247,plain,(
% 0.10/0.41 ![X0]: (less_equal(divide(divide(X0,idQa),idQ_idQa),zero))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1216,f30])).
% 0.10/0.41 fof(f1250,plain,(
% 0.10/0.41 ![X0]: (zero=divide(divide(X0,idQa),idQ_idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1247,f44])).
% 0.10/0.41 fof(f1298,plain,(
% 0.10/0.41 ![X0]: (quotient(divide(X0,idQa),idQ_idQa,zero))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f1250,f23])).
% 0.10/0.41 fof(f1314,plain,(
% 0.10/0.41 ![X0]: (less_equal(divide(X0,idQa),idQ_idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1298,f15])).
% 0.10/0.41 fof(f1335,plain,(
% 0.10/0.41 ![X0]: (~less_equal(idQ_idQa,divide(X0,idQa))|divide(X0,idQa)=idQ_idQa)),
% 0.10/0.41 inference(resolution,[status(thm)],[f1314,f21])).
% 0.10/0.41 fof(f1751,plain,(
% 0.10/0.41 ![X0]: (less_equal(divide(divide(X0,a),idQa),zero))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1224,f30])).
% 0.10/0.41 fof(f1754,plain,(
% 0.10/0.41 ![X0]: (zero=divide(divide(X0,a),idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1751,f44])).
% 0.10/0.41 fof(f1794,plain,(
% 0.10/0.41 ![X0]: (quotient(divide(X0,a),idQa,zero))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f1754,f23])).
% 0.10/0.41 fof(f1804,plain,(
% 0.10/0.41 ![X0]: (less_equal(divide(X0,a),idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1794,f15])).
% 0.10/0.41 fof(f1820,plain,(
% 0.10/0.41 ![X0]: (~less_equal(idQa,divide(X0,a))|divide(X0,a)=idQa)),
% 0.10/0.41 inference(resolution,[status(thm)],[f1804,f21])).
% 0.10/0.41 fof(f1952,plain,(
% 0.10/0.41 less_equal(divide(idQ_idQa,divide(a,idQa)),zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f964,f953])).
% 0.10/0.41 fof(f1955,plain,(
% 0.10/0.41 zero=divide(idQ_idQa,divide(a,idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1952,f44])).
% 0.10/0.41 fof(f1982,plain,(
% 0.10/0.41 quotient(idQ_idQa,divide(a,idQa),zero)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f1955,f23])).
% 0.10/0.41 fof(f2139,plain,(
% 0.10/0.41 less_equal(idQ_idQa,divide(a,idQa))),
% 0.10/0.41 inference(resolution,[status(thm)],[f1982,f15])).
% 0.10/0.41 fof(f2152,plain,(
% 0.10/0.41 divide(a,idQa)=idQ_idQa),
% 0.10/0.41 inference(resolution,[status(thm)],[f2139,f1335])).
% 0.10/0.41 fof(f2181,plain,(
% 0.10/0.41 divide(idQ_idQa,a)=zero),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f2152,f150])).
% 0.10/0.41 fof(f2201,plain,(
% 0.10/0.41 quotient(divide(idQa,zero),divide(idQ__idQ_idQa,a),zero)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f2181,f235])).
% 0.10/0.41 fof(f2331,plain,(
% 0.10/0.41 less_equal(divide(divide(idQa,divide(idQ__idQ_idQa,a)),zero),zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f1194,f2201])).
% 0.10/0.41 fof(f2442,plain,(
% 0.10/0.41 zero=divide(divide(idQa,divide(idQ__idQ_idQa,a)),zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f2331,f44])).
% 0.10/0.41 fof(f2464,plain,(
% 0.10/0.41 quotient(divide(idQa,divide(idQ__idQ_idQa,a)),zero,zero)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f2442,f23])).
% 0.10/0.41 fof(f2479,plain,(
% 0.10/0.41 less_equal(divide(idQa,divide(idQ__idQ_idQa,a)),zero)),
% 0.10/0.41 inference(resolution,[status(thm)],[f2464,f15])).
% 0.10/0.41 fof(f2494,plain,(
% 0.10/0.41 zero=divide(idQa,divide(idQ__idQ_idQa,a))),
% 0.10/0.41 inference(resolution,[status(thm)],[f2479,f44])).
% 0.10/0.41 fof(f2517,plain,(
% 0.10/0.42 quotient(idQa,divide(idQ__idQ_idQa,a),zero)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f2494,f23])).
% 0.10/0.42 fof(f2874,plain,(
% 0.10/0.42 less_equal(idQa,divide(idQ__idQ_idQa,a))),
% 0.10/0.42 inference(resolution,[status(thm)],[f2517,f15])).
% 0.10/0.42 fof(f2886,plain,(
% 0.10/0.42 divide(idQ__idQ_idQa,a)=idQa),
% 0.10/0.42 inference(resolution,[status(thm)],[f2874,f1820])).
% 0.10/0.42 fof(f2926,plain,(
% 0.10/0.42 less_equal(idQa,idQ__idQ_idQa)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f2886,f37])).
% 0.10/0.42 fof(f2945,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2926,f648])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.119595 seconds
% 0.10/0.42 % CPU time: 0.803011 seconds
% 0.10/0.42 % Total memory used: 62.808 MB
% 0.10/0.42 % Net memory used: 59.361 MB
%------------------------------------------------------------------------------