%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN011-1 : 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 12:45:30 PM UTC 2026
% Result : Unsatisfiable 40.21s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HEN011-1 : 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 20:46:38 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 40.21/5.42 % Refutation found
% 40.21/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 40.21/5.42 % SZS output start CNFRefutation for theBenchmark
% 40.21/5.42 fof(f1,axiom,(
% 40.21/5.42 (![X,Y]: (( ~ less_equal(X,Y)| quotient(X,Y,zero) ) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f2,axiom,(
% 40.21/5.42 (![X,Y]: (( ~ quotient(X,Y,zero)| less_equal(X,Y) ) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f3,axiom,(
% 40.21/5.42 (![X,Y,Z]: (( ~ quotient(X,Y,Z)| less_equal(Z,X) ) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f4,axiom,(
% 40.21/5.42 (![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) ) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f5,axiom,(
% 40.21/5.42 (![X]: (less_equal(zero,X) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f6,axiom,(
% 40.21/5.42 (![X,Y]: (( ~ less_equal(X,Y)| ~ less_equal(Y,X)| X = Y ) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f7,axiom,(
% 40.21/5.42 (![X]: (less_equal(X,identity) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f8,axiom,(
% 40.21/5.42 (![X,Y]: (quotient(X,Y,divide(X,Y)) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f9,axiom,(
% 40.21/5.42 (![X,Y,Z,W]: (( ~ quotient(X,Y,Z)| ~ quotient(X,Y,W)| Z = W ) ))),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f10,hypothesis,(
% 40.21/5.42 quotient(identity,a,idQa) ),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f11,hypothesis,(
% 40.21/5.42 quotient(identity,b,idQb) ),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f12,hypothesis,(
% 40.21/5.42 quotient(identity,idQb,idQ_idQb) ),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f13,hypothesis,(
% 40.21/5.42 quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb) ),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f14,hypothesis,(
% 40.21/5.42 quotient(identity,idQa,idQ_idQa) ),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f15,hypothesis,(
% 40.21/5.42 quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa) ),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f16,negated_conjecture,(
% 40.21/5.42 idQa_Q__idQ_idQb != idQb_Q__idQ_idQa ),
% 40.21/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 40.21/5.42 fof(f17,plain,(
% 40.21/5.42 ![X0,X1]: (~less_equal(X0,X1)|quotient(X0,X1,zero))),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f1])).
% 40.21/5.42 fof(f18,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(X0,X1,zero)|less_equal(X0,X1))),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f2])).
% 40.21/5.42 fof(f19,plain,(
% 40.21/5.42 ![X,Z]: ((![Y]: ~quotient(X,Y,Z))|less_equal(Z,X))),
% 40.21/5.42 inference(miniscoping,[status(thm)],[f3])).
% 40.21/5.42 fof(f20,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(X0,X1,X2)|less_equal(X2,X0))),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f19])).
% 40.21/5.42 fof(f21,plain,(
% 40.21/5.42 ![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))),
% 40.21/5.42 inference(miniscoping,[status(thm)],[f4])).
% 40.21/5.42 fof(f22,plain,(
% 40.21/5.42 ![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))),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f21])).
% 40.21/5.42 fof(f23,plain,(
% 40.21/5.42 ![X0]: (less_equal(zero,X0))),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f5])).
% 40.21/5.42 fof(f24,plain,(
% 40.21/5.42 ![X0,X1]: (~less_equal(X0,X1)|~less_equal(X1,X0)|X0=X1)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f6])).
% 40.21/5.42 fof(f25,plain,(
% 40.21/5.42 ![X0]: (less_equal(X0,identity))),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f7])).
% 40.21/5.42 fof(f26,plain,(
% 40.21/5.42 ![X0,X1]: (quotient(X0,X1,divide(X0,X1)))),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f8])).
% 40.21/5.42 fof(f27,plain,(
% 40.21/5.42 ![Z,W]: ((![X,Y]: (~quotient(X,Y,Z)|~quotient(X,Y,W)))|Z=W)),
% 40.21/5.42 inference(miniscoping,[status(thm)],[f9])).
% 40.21/5.42 fof(f28,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,X1,X2)|~quotient(X0,X1,X3)|X2=X3)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f27])).
% 40.21/5.42 fof(f29,plain,(
% 40.21/5.42 quotient(identity,a,idQa)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f10])).
% 40.21/5.42 fof(f30,plain,(
% 40.21/5.42 quotient(identity,b,idQb)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f11])).
% 40.21/5.42 fof(f31,plain,(
% 40.21/5.42 quotient(identity,idQb,idQ_idQb)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f12])).
% 40.21/5.42 fof(f32,plain,(
% 40.21/5.42 quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f13])).
% 40.21/5.42 fof(f33,plain,(
% 40.21/5.42 quotient(identity,idQa,idQ_idQa)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f14])).
% 40.21/5.42 fof(f34,plain,(
% 40.21/5.42 quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa)),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f15])).
% 40.21/5.42 fof(f35,plain,(
% 40.21/5.42 ~idQa_Q__idQ_idQb=idQb_Q__idQ_idQa),
% 40.21/5.42 inference(cnf_transformation,[status(thm)],[f16])).
% 40.21/5.42 fof(f36,plain,(
% 40.21/5.42 ![X0]: (quotient(zero,X0,zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f17,f23])).
% 40.21/5.42 fof(f37,plain,(
% 40.21/5.42 ![X0]: (quotient(X0,identity,zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f17,f25])).
% 40.21/5.42 fof(f48,plain,(
% 40.21/5.42 ![X0,X1]: (less_equal(divide(X0,X1),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f20,f26])).
% 40.21/5.42 fof(f50,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4]: (~quotient(idQa,X0,X1)|~quotient(identity,X0,X2)|~quotient(X2,X1,X3)|~quotient(idQ_idQa,X0,X4)|less_equal(X3,X4))),
% 40.21/5.42 inference(resolution,[status(thm)],[f22,f33])).
% 40.21/5.42 fof(f51,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4]: (~quotient(idQb,X0,X1)|~quotient(identity,X0,X2)|~quotient(X2,X1,X3)|~quotient(idQ_idQb,X0,X4)|less_equal(X3,X4))),
% 40.21/5.42 inference(resolution,[status(thm)],[f22,f31])).
% 40.21/5.42 fof(f52,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4]: (~quotient(b,X0,X1)|~quotient(identity,X0,X2)|~quotient(X2,X1,X3)|~quotient(idQb,X0,X4)|less_equal(X3,X4))),
% 40.21/5.42 inference(resolution,[status(thm)],[f22,f30])).
% 40.21/5.42 fof(f53,plain,(
% 40.21/5.42 ![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))),
% 40.21/5.42 inference(resolution,[status(thm)],[f22,f29])).
% 40.21/5.42 fof(f56,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4,X5]: (~quotient(identity,X0,X1)|~quotient(X2,X0,X3)|~quotient(X3,X1,X4)|~quotient(zero,X0,X5)|less_equal(X4,X5))),
% 40.21/5.42 inference(resolution,[status(thm)],[f22,f37])).
% 40.21/5.42 fof(f57,plain,(
% 40.21/5.42 ![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))),
% 40.21/5.42 inference(resolution,[status(thm)],[f22,f26])).
% 40.21/5.42 fof(f58,plain,(
% 40.21/5.42 ![X0]: (~less_equal(X0,zero)|zero=X0)),
% 40.21/5.42 inference(resolution,[status(thm)],[f24,f23])).
% 40.21/5.42 fof(f67,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(X0,identity,X1)|zero=X1)),
% 40.21/5.42 inference(resolution,[status(thm)],[f28,f37])).
% 40.21/5.42 fof(f68,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(X0,X1,X2)|divide(X0,X1)=X2)),
% 40.21/5.42 inference(resolution,[status(thm)],[f28,f26])).
% 40.21/5.42 fof(f90,plain,(
% 40.21/5.42 ![X0,X1]: (~less_equal(X0,divide(X0,X1))|divide(X0,X1)=X0)),
% 40.21/5.42 inference(resolution,[status(thm)],[f48,f24])).
% 40.21/5.42 fof(f91,plain,(
% 40.21/5.42 ![X0,X1]: (quotient(divide(X0,X1),X0,zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f48,f17])).
% 40.21/5.42 fof(f93,plain,(
% 40.21/5.42 ![X0]: (zero=divide(zero,X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f58,f48])).
% 40.21/5.42 fof(f103,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(identity,idQ_idQb,X0)|~quotient(X0,idQa_Q__idQ_idQb,X1)|~quotient(idQ_idQa,idQ_idQb,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f50,f32])).
% 40.21/5.42 fof(f105,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(identity,X0,X1)|~quotient(X1,divide(idQa,X0),X2)|~quotient(idQ_idQa,X0,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f50,f26])).
% 40.21/5.42 fof(f106,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(identity,idQ_idQa,X0)|~quotient(X0,idQb_Q__idQ_idQa,X1)|~quotient(idQ_idQb,idQ_idQa,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f51,f34])).
% 40.21/5.42 fof(f110,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(identity,X0,X1)|~quotient(X1,divide(b,X0),X2)|~quotient(idQb,X0,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f52,f26])).
% 40.21/5.42 fof(f127,plain,(
% 40.21/5.42 ![X0]: (zero=divide(X0,identity))),
% 40.21/5.42 inference(resolution,[status(thm)],[f67,f26])).
% 40.21/5.42 fof(f153,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(identity,X0,X1)|~quotient(X1,divide(a,X0),X2)|~quotient(idQa,X0,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f53,f26])).
% 40.21/5.42 fof(f154,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4,X5]: (~quotient(X0,X1,X2)|~quotient(X2,zero,X3)|~quotient(divide(X0,divide(X1,X4)),X1,X5)|less_equal(X3,X5))),
% 40.21/5.42 inference(resolution,[status(thm)],[f57,f91])).
% 40.21/5.42 fof(f157,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4]: (~quotient(X0,X1,X2)|~quotient(X2,zero,X3)|~quotient(divide(X0,zero),X1,X4)|less_equal(X3,X4))),
% 40.21/5.42 inference(resolution,[status(thm)],[f57,f36])).
% 40.21/5.42 fof(f158,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,idQa,X1)|~quotient(X1,idQ_idQa,X2)|~quotient(divide(X0,identity),idQa,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f57,f33])).
% 40.21/5.42 fof(f159,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,idQb,X1)|~quotient(X1,idQ_idQb,X2)|~quotient(divide(X0,identity),idQb,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f57,f31])).
% 40.21/5.42 fof(f160,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,b,X1)|~quotient(X1,idQb,X2)|~quotient(divide(X0,identity),b,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f57,f30])).
% 40.21/5.42 fof(f161,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,a,X1)|~quotient(X1,idQa,X2)|~quotient(divide(X0,identity),a,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f57,f29])).
% 40.21/5.42 fof(f165,plain,(
% 40.21/5.42 ![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))),
% 40.21/5.42 inference(resolution,[status(thm)],[f57,f26])).
% 40.21/5.42 fof(f166,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,idQa,X1)|~quotient(X1,idQ_idQa,X2)|~quotient(zero,idQa,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f127,f158])).
% 40.21/5.42 fof(f167,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,idQb,X1)|~quotient(X1,idQ_idQb,X2)|~quotient(zero,idQb,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f127,f159])).
% 40.21/5.42 fof(f168,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,b,X1)|~quotient(X1,idQb,X2)|~quotient(zero,b,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f127,f160])).
% 40.21/5.42 fof(f169,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(X0,a,X1)|~quotient(X1,idQa,X2)|~quotient(zero,a,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f127,f161])).
% 40.21/5.42 fof(f189,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(divide(identity,idQ_idQb),idQa_Q__idQ_idQb,X0)|~quotient(idQ_idQa,idQ_idQb,X1)|less_equal(X0,X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f103,f26])).
% 40.21/5.42 fof(f190,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(divide(identity,idQ_idQa),idQb_Q__idQ_idQa,X0)|~quotient(idQ_idQb,idQ_idQa,X1)|less_equal(X0,X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f106,f26])).
% 40.21/5.42 fof(f202,plain,(
% 40.21/5.42 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f68,f91])).
% 40.21/5.42 fof(f247,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4]: (~quotient(X0,X1,X2)|~quotient(X2,divide(identity,X1),X3)|~quotient(zero,X1,X4)|less_equal(X3,X4))),
% 40.21/5.42 inference(resolution,[status(thm)],[f56,f26])).
% 40.21/5.42 fof(f351,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(identity,X0,X1)|~quotient(idQ_idQa,X0,X2)|less_equal(divide(X1,divide(idQa,X0)),X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f105,f26])).
% 40.21/5.42 fof(f420,plain,(
% 40.21/5.42 ![X0]: (~quotient(idQ_idQa,idQ_idQb,X0)|less_equal(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f189,f26])).
% 40.21/5.42 fof(f455,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(identity,X0,X1)|~quotient(idQb,X0,X2)|less_equal(divide(X1,divide(b,X0)),X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f110,f26])).
% 40.21/5.42 fof(f457,plain,(
% 40.21/5.42 less_equal(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f420,f26])).
% 40.21/5.42 fof(f459,plain,(
% 40.21/5.42 quotient(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f457,f17])).
% 40.21/5.42 fof(f467,plain,(
% 40.21/5.42 divide(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb))=zero),
% 40.21/5.42 inference(resolution,[status(thm)],[f459,f68])).
% 40.21/5.42 fof(f482,plain,(
% 40.21/5.42 ![X0]: (~quotient(idQ_idQb,idQ_idQa,X0)|less_equal(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f190,f26])).
% 40.21/5.42 fof(f496,plain,(
% 40.21/5.42 less_equal(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f482,f26])).
% 40.21/5.42 fof(f498,plain,(
% 40.21/5.42 quotient(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f496,f17])).
% 40.21/5.42 fof(f511,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(identity,X0,X1)|~quotient(idQa,X0,X2)|less_equal(divide(X1,divide(a,X0)),X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f153,f26])).
% 40.21/5.42 fof(f529,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),zero,X2)|~quotient(divide(X0,zero),X1,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f157,f26])).
% 40.21/5.42 fof(f535,plain,(
% 40.21/5.42 divide(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa))=zero),
% 40.21/5.42 inference(resolution,[status(thm)],[f498,f68])).
% 40.21/5.42 fof(f595,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(idQ_idQa,idQ_idQa,X0)|~quotient(zero,idQa,X1)|less_equal(X0,X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f166,f33])).
% 40.21/5.42 fof(f596,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(divide(X0,idQa),idQ_idQa,X1)|~quotient(zero,idQa,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f166,f26])).
% 40.21/5.42 fof(f601,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(divide(X0,idQb),idQ_idQb,X1)|~quotient(zero,idQb,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f167,f26])).
% 40.21/5.42 fof(f604,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(idQb,idQb,X0)|~quotient(zero,b,X1)|less_equal(X0,X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f168,f30])).
% 40.21/5.42 fof(f605,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(divide(X0,b),idQb,X1)|~quotient(zero,b,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f168,f26])).
% 40.21/5.42 fof(f682,plain,(
% 40.21/5.42 ![X0]: (~quotient(zero,idQa,X0)|less_equal(divide(idQ_idQa,idQ_idQa),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f595,f26])).
% 40.21/5.42 fof(f683,plain,(
% 40.21/5.42 less_equal(divide(idQ_idQa,idQ_idQa),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f682,f36])).
% 40.21/5.42 fof(f686,plain,(
% 40.21/5.42 zero=divide(idQ_idQa,idQ_idQa)),
% 40.21/5.42 inference(resolution,[status(thm)],[f683,f58])).
% 40.21/5.42 fof(f706,plain,(
% 40.21/5.42 quotient(idQ_idQa,idQ_idQa,zero)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f686,f26])).
% 40.21/5.42 fof(f713,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(idQa,idQa,X0)|~quotient(zero,a,X1)|less_equal(X0,X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f169,f29])).
% 40.21/5.42 fof(f714,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(divide(X0,a),idQa,X1)|~quotient(zero,a,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f169,f26])).
% 40.21/5.42 fof(f736,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(idQb_Q__idQ_idQa,divide(X0,idQ_idQa),X1)|~quotient(divide(idQb,X0),idQ_idQa,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f165,f34])).
% 40.21/5.42 fof(f737,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(idQa_Q__idQ_idQb,divide(X0,idQ_idQb),X1)|~quotient(divide(idQa,X0),idQ_idQb,X2)|less_equal(X1,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f165,f32])).
% 40.21/5.42 fof(f739,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4]: (~quotient(divide(X0,X1),divide(X2,X1),X3)|~quotient(divide(X0,X2),X1,X4)|less_equal(X3,X4))),
% 40.21/5.42 inference(resolution,[status(thm)],[f165,f26])).
% 40.21/5.42 fof(f827,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(idQb,zero,X0)|~quotient(divide(identity,divide(b,X1)),b,X2)|less_equal(X0,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f154,f30])).
% 40.21/5.42 fof(f828,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(idQa,zero,X0)|~quotient(divide(identity,divide(a,X1)),a,X2)|less_equal(X0,X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f154,f29])).
% 40.21/5.42 fof(f832,plain,(
% 40.21/5.42 ![X0,X1,X2,X3,X4]: (~quotient(divide(X0,X1),zero,X2)|~quotient(divide(X0,divide(X1,X3)),X1,X4)|less_equal(X2,X4))),
% 40.21/5.42 inference(resolution,[status(thm)],[f154,f26])).
% 40.21/5.42 fof(f937,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(divide(idQb,X0),idQ_idQa,X1)|less_equal(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f736,f26])).
% 40.21/5.42 fof(f947,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(divide(idQa,X0),idQ_idQb,X1)|less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f737,f26])).
% 40.21/5.42 fof(f957,plain,(
% 40.21/5.42 ![X0]: (~quotient(zero,b,X0)|less_equal(divide(idQb,idQb),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f604,f26])).
% 40.21/5.42 fof(f958,plain,(
% 40.21/5.42 less_equal(divide(idQb,idQb),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f957,f36])).
% 40.21/5.42 fof(f961,plain,(
% 40.21/5.42 zero=divide(idQb,idQb)),
% 40.21/5.42 inference(resolution,[status(thm)],[f958,f58])).
% 40.21/5.42 fof(f984,plain,(
% 40.21/5.42 quotient(idQb,idQb,zero)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f961,f26])).
% 40.21/5.42 fof(f1144,plain,(
% 40.21/5.42 ![X0]: (~quotient(zero,a,X0)|less_equal(divide(idQa,idQa),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f713,f26])).
% 40.21/5.42 fof(f1168,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),divide(identity,X1),X2)|~quotient(zero,X1,X3)|less_equal(X2,X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f247,f26])).
% 40.21/5.42 fof(f1182,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(idQ_idQa,X0,X1)|less_equal(divide(divide(identity,X0),divide(idQa,X0)),X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f351,f26])).
% 40.21/5.42 fof(f1209,plain,(
% 40.21/5.42 less_equal(divide(idQa,idQa),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f1144,f36])).
% 40.21/5.42 fof(f1212,plain,(
% 40.21/5.42 zero=divide(idQa,idQa)),
% 40.21/5.42 inference(resolution,[status(thm)],[f1209,f58])).
% 40.21/5.42 fof(f1237,plain,(
% 40.21/5.42 quotient(idQa,idQa,zero)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f1212,f26])).
% 40.21/5.42 fof(f1269,plain,(
% 40.21/5.42 ![X0]: (~quotient(idQb,idQb,X0)|less_equal(divide(idQ_idQb,divide(b,idQb)),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f455,f31])).
% 40.21/5.42 fof(f1275,plain,(
% 40.21/5.42 ![X0]: (~quotient(idQa,idQa,X0)|less_equal(divide(idQ_idQa,divide(a,idQa)),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f511,f33])).
% 40.21/5.42 fof(f1427,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(divide(X0,zero),X1,X2)|less_equal(divide(divide(X0,X1),zero),X2))),
% 40.21/5.42 inference(resolution,[status(thm)],[f529,f26])).
% 40.21/5.42 fof(f1543,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(zero,idQa,X0)|less_equal(divide(divide(X1,idQa),idQ_idQa),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f596,f26])).
% 40.21/5.42 fof(f1550,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(zero,idQb,X0)|less_equal(divide(divide(X1,idQb),idQ_idQb),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f601,f26])).
% 40.21/5.42 fof(f1557,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(zero,b,X0)|less_equal(divide(divide(X1,b),idQb),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f605,f26])).
% 40.21/5.42 fof(f1592,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,idQa),idQ_idQa),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1543,f36])).
% 40.21/5.42 fof(f1595,plain,(
% 40.21/5.42 ![X0]: (zero=divide(divide(X0,idQa),idQ_idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1592,f58])).
% 40.21/5.42 fof(f1629,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(X0,idQa),idQ_idQa,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f1595,f26])).
% 40.21/5.42 fof(f1635,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(X0,idQa),idQ_idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1629,f18])).
% 40.21/5.42 fof(f1652,plain,(
% 40.21/5.42 ![X0]: (~less_equal(idQ_idQa,divide(X0,idQa))|divide(X0,idQa)=idQ_idQa)),
% 40.21/5.42 inference(resolution,[status(thm)],[f1635,f24])).
% 40.21/5.42 fof(f1660,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(zero,a,X0)|less_equal(divide(divide(X1,a),idQa),X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f714,f26])).
% 40.21/5.42 fof(f1838,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,idQb),idQ_idQb),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1550,f36])).
% 40.21/5.42 fof(f1942,plain,(
% 40.21/5.42 ![X0]: (zero=divide(divide(X0,idQb),idQ_idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1838,f58])).
% 40.21/5.42 fof(f1979,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(X0,idQb),idQ_idQb,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f1942,f26])).
% 40.21/5.42 fof(f1986,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(X0,idQb),idQ_idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1979,f18])).
% 40.21/5.42 fof(f2003,plain,(
% 40.21/5.42 ![X0]: (~less_equal(idQ_idQb,divide(X0,idQb))|divide(X0,idQb)=idQ_idQb)),
% 40.21/5.42 inference(resolution,[status(thm)],[f1986,f24])).
% 40.21/5.42 fof(f2019,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(divide(X0,X1),X2,X3)|less_equal(divide(divide(X0,X2),divide(X1,X2)),X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f739,f26])).
% 40.21/5.42 fof(f2197,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb,X0),idQ_idQa)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f937,f26])).
% 40.21/5.42 fof(f2246,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f947,f26])).
% 40.21/5.42 fof(f2480,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,b),idQb),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1557,f36])).
% 40.21/5.42 fof(f2483,plain,(
% 40.21/5.42 ![X0]: (zero=divide(divide(X0,b),idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2480,f58])).
% 40.21/5.42 fof(f2526,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(X0,b),idQb,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f2483,f26])).
% 40.21/5.42 fof(f2531,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(divide(identity,divide(b,X0)),b,X1)|less_equal(divide(idQb,zero),X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f827,f26])).
% 40.21/5.42 fof(f2532,plain,(
% 40.21/5.42 ![X0,X1]: (~quotient(divide(identity,divide(a,X0)),a,X1)|less_equal(divide(idQa,zero),X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f828,f26])).
% 40.21/5.42 fof(f2650,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(X0,b),idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2526,f18])).
% 40.21/5.42 fof(f2666,plain,(
% 40.21/5.42 ![X0]: (~less_equal(idQb,divide(X0,b))|divide(X0,b)=idQb)),
% 40.21/5.42 inference(resolution,[status(thm)],[f2650,f24])).
% 40.21/5.42 fof(f2680,plain,(
% 40.21/5.42 ![X0,X1,X2,X3]: (~quotient(divide(X0,divide(X1,X2)),X1,X3)|less_equal(divide(divide(X0,X1),zero),X3))),
% 40.21/5.42 inference(resolution,[status(thm)],[f832,f26])).
% 40.21/5.42 fof(f2729,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb,X0),idQ_idQa),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2197,f17])).
% 40.21/5.42 fof(f2833,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,a),idQa),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1660,f36])).
% 40.21/5.42 fof(f2837,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~quotient(zero,X0,X1)|less_equal(divide(divide(X2,X0),divide(identity,X0)),X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1168,f26])).
% 40.21/5.42 fof(f2896,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2246,f17])).
% 40.21/5.42 fof(f2993,plain,(
% 40.21/5.42 ![X0]: (zero=divide(divide(X0,a),idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2833,f58])).
% 40.21/5.42 fof(f3039,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(X0,a),idQa,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f2993,f26])).
% 40.21/5.42 fof(f3052,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(X0,a),idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f3039,f18])).
% 40.21/5.42 fof(f3068,plain,(
% 40.21/5.42 ![X0]: (~less_equal(idQa,divide(X0,a))|divide(X0,a)=idQa)),
% 40.21/5.42 inference(resolution,[status(thm)],[f3052,f24])).
% 40.21/5.42 fof(f3075,plain,(
% 40.21/5.42 less_equal(divide(divide(identity,idQ_idQa),divide(idQa,idQ_idQa)),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f1182,f706])).
% 40.21/5.42 fof(f3294,plain,(
% 40.21/5.42 zero=divide(divide(identity,idQ_idQa),divide(idQa,idQ_idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f3075,f58])).
% 40.21/5.42 fof(f3315,plain,(
% 40.21/5.42 quotient(divide(identity,idQ_idQa),divide(idQa,idQ_idQa),zero)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f3294,f26])).
% 40.21/5.42 fof(f3324,plain,(
% 40.21/5.42 less_equal(divide(idQ_idQb,divide(b,idQb)),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f1269,f984])).
% 40.21/5.42 fof(f3749,plain,(
% 40.21/5.42 zero=divide(idQ_idQb,divide(b,idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f3324,f58])).
% 40.21/5.42 fof(f3776,plain,(
% 40.21/5.42 quotient(idQ_idQb,divide(b,idQb),zero)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f3749,f26])).
% 40.21/5.42 fof(f3785,plain,(
% 40.21/5.42 less_equal(idQ_idQb,divide(b,idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f3776,f18])).
% 40.21/5.42 fof(f3798,plain,(
% 40.21/5.42 divide(b,idQb)=idQ_idQb),
% 40.21/5.42 inference(resolution,[status(thm)],[f3785,f2003])).
% 40.21/5.42 fof(f3802,plain,(
% 40.21/5.42 less_equal(divide(idQ_idQa,divide(a,idQa)),zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f1275,f1237])).
% 40.21/5.42 fof(f4534,plain,(
% 40.21/5.42 zero=divide(idQ_idQa,divide(a,idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f3802,f58])).
% 40.21/5.42 fof(f4548,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,X0),zero),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f1427,f91])).
% 40.21/5.42 fof(f4697,plain,(
% 40.21/5.42 quotient(idQ_idQa,divide(a,idQa),zero)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f4534,f26])).
% 40.21/5.42 fof(f4701,plain,(
% 40.21/5.42 ![X0]: (zero=divide(divide(X0,X0),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f4548,f58])).
% 40.21/5.42 fof(f4752,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(X0,X0),zero,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f4701,f26])).
% 40.21/5.42 fof(f4770,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(X0,X0),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f4752,f18])).
% 40.21/5.42 fof(f4971,plain,(
% 40.21/5.42 ![X0]: (divide(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb,X0),idQ_idQa))=zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f2729,f68])).
% 40.21/5.42 fof(f5006,plain,(
% 40.21/5.42 ![X0]: (zero=divide(X0,X0))),
% 40.21/5.42 inference(resolution,[status(thm)],[f4770,f58])).
% 40.21/5.42 fof(f5198,plain,(
% 40.21/5.42 ![X0]: (quotient(X0,X0,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f5006,f26])).
% 40.21/5.42 fof(f5373,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,divide(X0,zero)),zero),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f5198,f1427])).
% 40.21/5.42 fof(f5670,plain,(
% 40.21/5.42 less_equal(idQ_idQa,divide(a,idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f4697,f18])).
% 40.21/5.42 fof(f5683,plain,(
% 40.21/5.42 divide(a,idQa)=idQ_idQa),
% 40.21/5.42 inference(resolution,[status(thm)],[f5670,f1652])).
% 40.21/5.42 fof(f5805,plain,(
% 40.21/5.42 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2019,f26])).
% 40.21/5.42 fof(f5912,plain,(
% 40.21/5.42 ![X0]: (divide(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb))=zero)),
% 40.21/5.42 inference(resolution,[status(thm)],[f2896,f68])).
% 40.21/5.42 fof(f6860,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(idQb,zero),divide(divide(identity,divide(b,X0)),b)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2531,f26])).
% 40.21/5.42 fof(f6864,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(idQa,zero),divide(divide(identity,divide(a,X0)),a)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2532,f26])).
% 40.21/5.42 fof(f6872,plain,(
% 40.21/5.42 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2680,f26])).
% 40.21/5.42 fof(f7276,plain,(
% 40.21/5.42 ![X0,X1]: (less_equal(divide(divide(X0,X1),divide(identity,X1)),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f2837,f36])).
% 40.21/5.42 fof(f8223,plain,(
% 40.21/5.42 ![X0,X1]: (zero=divide(divide(X0,X1),divide(identity,X1)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f7276,f58])).
% 40.21/5.42 fof(f8448,plain,(
% 40.21/5.42 ![X0,X1]: (quotient(divide(X0,X1),divide(identity,X1),zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f8223,f26])).
% 40.21/5.42 fof(f8478,plain,(
% 40.21/5.42 ![X0,X1]: (less_equal(divide(X0,X1),divide(identity,X1)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f8448,f18])).
% 40.21/5.42 fof(f8979,plain,(
% 40.21/5.42 less_equal(divide(identity,idQ_idQa),divide(idQa,idQ_idQa))),
% 40.21/5.42 inference(resolution,[status(thm)],[f3315,f18])).
% 40.21/5.42 fof(f8992,plain,(
% 40.21/5.42 ~less_equal(divide(idQa,idQ_idQa),divide(identity,idQ_idQa))|divide(identity,idQ_idQa)=divide(idQa,idQ_idQa)),
% 40.21/5.42 inference(resolution,[status(thm)],[f8979,f24])).
% 40.21/5.42 fof(f8994,plain,(
% 40.21/5.42 divide(identity,idQ_idQa)=divide(idQa,idQ_idQa)),
% 40.21/5.42 inference(forward_subsumption_resolution,[status(thm)],[f8992,f8478])).
% 40.21/5.42 fof(f9059,plain,(
% 40.21/5.42 less_equal(divide(identity,idQ_idQa),idQa)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f8994,f48])).
% 40.21/5.42 fof(f9328,plain,(
% 40.21/5.42 ![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))),
% 40.21/5.42 inference(resolution,[status(thm)],[f5805,f24])).
% 40.21/5.42 fof(f10282,plain,(
% 40.21/5.42 ![X0]: (zero=divide(divide(X0,divide(X0,zero)),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f5373,f58])).
% 40.21/5.42 fof(f10340,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(X0,divide(X0,zero)),zero,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f10282,f26])).
% 40.21/5.42 fof(f10535,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(X0,divide(X0,zero)),zero))),
% 40.21/5.42 inference(resolution,[status(thm)],[f10340,f18])).
% 40.21/5.42 fof(f10560,plain,(
% 40.21/5.42 ![X0]: (zero=divide(X0,divide(X0,zero)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f10535,f58])).
% 40.21/5.42 fof(f10753,plain,(
% 40.21/5.42 ![X0]: (quotient(X0,divide(X0,zero),zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f10560,f26])).
% 40.21/5.42 fof(f10898,plain,(
% 40.21/5.42 ![X0]: (less_equal(X0,divide(X0,zero)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f10753,f18])).
% 40.21/5.42 fof(f11299,plain,(
% 40.21/5.42 ![X0]: (divide(X0,zero)=X0)),
% 40.21/5.42 inference(resolution,[status(thm)],[f10898,f90])).
% 40.21/5.42 fof(f13630,plain,(
% 40.21/5.42 ![X0]: (less_equal(idQb,divide(divide(identity,divide(b,X0)),b)))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f11299,f6860])).
% 40.21/5.42 fof(f13634,plain,(
% 40.21/5.42 less_equal(idQb,divide(divide(identity,idQ_idQb),b))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f3798,f13630])).
% 40.21/5.42 fof(f13821,plain,(
% 40.21/5.42 ![X0]: (less_equal(idQa,divide(divide(identity,divide(a,X0)),a)))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f11299,f6864])).
% 40.21/5.42 fof(f13825,plain,(
% 40.21/5.42 less_equal(idQa,divide(divide(identity,idQ_idQa),a))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f5683,f13821])).
% 40.21/5.42 fof(f13836,plain,(
% 40.21/5.42 ![X0,X1,X2]: (less_equal(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f11299,f6872])).
% 40.21/5.42 fof(f13837,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))|divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1))),
% 40.21/5.42 inference(resolution,[status(thm)],[f13836,f24])).
% 40.21/5.42 fof(f16948,plain,(
% 40.21/5.42 divide(divide(identity,idQ_idQb),b)=idQb),
% 40.21/5.42 inference(resolution,[status(thm)],[f13634,f2666])).
% 40.21/5.42 fof(f17002,plain,(
% 40.21/5.42 less_equal(idQb,divide(identity,idQ_idQb))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f16948,f48])).
% 40.21/5.42 fof(f17914,plain,(
% 40.21/5.42 divide(divide(identity,idQ_idQa),a)=idQa),
% 40.21/5.42 inference(resolution,[status(thm)],[f13825,f3068])).
% 40.21/5.42 fof(f17965,plain,(
% 40.21/5.42 ~less_equal(divide(identity,idQ_idQa),idQa)|divide(divide(identity,idQ_idQa),a)=divide(identity,idQ_idQa)),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f17914,f90])).
% 40.21/5.42 fof(f17992,plain,(
% 40.21/5.42 ~less_equal(divide(identity,idQ_idQa),idQa)|idQa=divide(identity,idQ_idQa)),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f17914,f17965])).
% 40.21/5.42 fof(f17993,plain,(
% 40.21/5.42 idQa=divide(identity,idQ_idQa)),
% 40.21/5.42 inference(forward_subsumption_resolution,[status(thm)],[f17992,f9059])).
% 40.21/5.42 fof(f18178,plain,(
% 40.21/5.42 divide(divide(idQa,idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa))=zero),
% 40.21/5.42 inference(backward_demodulation,[status(thm)],[f17993,f535])).
% 40.21/5.42 fof(f21713,plain,(
% 40.21/5.42 ![X0]: (~less_equal(zero,divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)))|divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb))=divide(divide(X0,idQb),idQ_idQb))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f1942,f9328])).
% 40.21/5.42 fof(f21773,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~less_equal(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0)))|divide(divide(divide(X1,X2),X0),divide(X1,X0))=divide(divide(divide(X1,X2),X1),X0))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f202,f9328])).
% 40.21/5.42 fof(f22090,plain,(
% 40.21/5.42 ![X0]: (~less_equal(zero,divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)))|divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb))=zero)),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f1942,f21713])).
% 40.21/5.42 fof(f22091,plain,(
% 40.21/5.42 ![X0]: (divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb))=zero)),
% 40.21/5.42 inference(forward_subsumption_resolution,[status(thm)],[f22090,f23])).
% 40.21/5.42 fof(f22282,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X2),divide(X0,X2))=divide(divide(divide(X0,X1),X0),X2))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f93,f21773])).
% 40.21/5.42 fof(f22283,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X2),divide(X0,X2))=divide(zero,X2))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f202,f22282])).
% 40.21/5.42 fof(f22284,plain,(
% 40.21/5.42 ![X0,X1,X2]: (~less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))|divide(divide(divide(X0,X1),X2),divide(X0,X2))=zero)),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f93,f22283])).
% 40.21/5.42 fof(f22285,plain,(
% 40.21/5.42 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(X0,X2))=zero)),
% 40.21/5.42 inference(forward_subsumption_resolution,[status(thm)],[f22284,f23])).
% 40.21/5.42 fof(f30263,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,idQ_idQb),idQb),divide(zero,idQb)))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f22091,f13836])).
% 40.21/5.42 fof(f30323,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(divide(X0,idQ_idQb),idQb),zero))),
% 40.21/5.42 inference(forward_demodulation,[status(thm)],[f93,f30263])).
% 40.21/5.42 fof(f30357,plain,(
% 40.21/5.42 ![X0]: (zero=divide(divide(X0,idQ_idQb),idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f30323,f58])).
% 40.21/5.42 fof(f30479,plain,(
% 40.21/5.42 ![X0]: (quotient(divide(X0,idQ_idQb),idQb,zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f30357,f26])).
% 40.21/5.42 fof(f30563,plain,(
% 40.21/5.42 ![X0]: (less_equal(divide(X0,idQ_idQb),idQb))),
% 40.21/5.42 inference(resolution,[status(thm)],[f30479,f18])).
% 40.21/5.42 fof(f31294,plain,(
% 40.21/5.42 ![X0]: (~less_equal(idQb,divide(X0,idQ_idQb))|divide(X0,idQ_idQb)=idQb)),
% 40.21/5.42 inference(resolution,[status(thm)],[f30563,f24])).
% 40.21/5.42 fof(f31999,plain,(
% 40.21/5.42 ![X0,X1,X2]: (quotient(divide(divide(X0,X1),X2),divide(X0,X2),zero))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f22285,f26])).
% 40.21/5.42 fof(f47047,plain,(
% 40.21/5.42 ![X0,X1,X2]: (less_equal(divide(divide(X0,X1),X2),divide(X0,X2)))),
% 40.21/5.42 inference(resolution,[status(thm)],[f31999,f18])).
% 40.21/5.42 fof(f68074,plain,(
% 40.21/5.42 less_equal(divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb),divide(zero,idQ_idQb))),
% 40.21/5.42 inference(paramodulation,[status(thm)],[f18178,f13836])).
% 40.21/5.42 fof(f68135,plain,(
% 40.21/5.42 less_equal(divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb),zero)),
% 40.21/5.46 inference(forward_demodulation,[status(thm)],[f93,f68074])).
% 40.21/5.46 fof(f68550,plain,(
% 40.21/5.46 zero=divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb)),
% 40.21/5.46 inference(resolution,[status(thm)],[f68135,f58])).
% 40.21/5.46 fof(f68559,plain,(
% 40.21/5.46 divide(divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)),zero)=zero),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f68550,f5912])).
% 40.21/5.46 fof(f68679,plain,(
% 40.21/5.46 divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb))=zero),
% 40.21/5.46 inference(forward_demodulation,[status(thm)],[f11299,f68559])).
% 40.21/5.46 fof(f68857,plain,(
% 40.21/5.46 less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(zero,idQb_Q__idQ_idQa))),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f68679,f13836])).
% 40.21/5.46 fof(f68954,plain,(
% 40.21/5.46 less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero)),
% 40.21/5.46 inference(forward_demodulation,[status(thm)],[f93,f68857])).
% 40.21/5.46 fof(f69004,plain,(
% 40.21/5.46 zero=divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)),
% 40.21/5.46 inference(resolution,[status(thm)],[f68954,f58])).
% 40.21/5.46 fof(f69123,plain,(
% 40.21/5.46 quotient(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa,zero)),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f69004,f26])).
% 40.21/5.46 fof(f69237,plain,(
% 40.21/5.46 less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)),
% 40.21/5.46 inference(resolution,[status(thm)],[f69123,f18])).
% 40.21/5.46 fof(f69255,plain,(
% 40.21/5.46 ~less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)|idQa_Q__idQ_idQb=idQb_Q__idQ_idQa),
% 40.21/5.46 inference(resolution,[status(thm)],[f69237,f24])).
% 40.21/5.46 fof(f69257,plain,(
% 40.21/5.46 ~less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)),
% 40.21/5.46 inference(forward_subsumption_resolution,[status(thm)],[f69255,f35])).
% 40.21/5.46 fof(f75319,plain,(
% 40.21/5.46 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X1))),
% 40.21/5.46 inference(forward_subsumption_resolution,[status(thm)],[f13837,f47047])).
% 40.21/5.46 fof(f76193,plain,(
% 40.21/5.46 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X0,divide(X1,X2)))=zero)),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f75319,f202])).
% 40.21/5.46 fof(f101044,plain,(
% 40.21/5.46 divide(identity,idQ_idQb)=idQb),
% 40.21/5.46 inference(resolution,[status(thm)],[f31294,f17002])).
% 40.21/5.46 fof(f101144,plain,(
% 40.21/5.46 divide(divide(idQb,idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb))=zero),
% 40.21/5.46 inference(backward_demodulation,[status(thm)],[f101044,f467])).
% 40.21/5.46 fof(f109879,plain,(
% 40.21/5.46 divide(divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa),zero)=zero),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f101144,f76193])).
% 40.21/5.46 fof(f109954,plain,(
% 40.21/5.46 divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa)=zero),
% 40.21/5.46 inference(forward_demodulation,[status(thm)],[f11299,f109879])).
% 40.21/5.46 fof(f110007,plain,(
% 40.21/5.46 divide(divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)),zero)=zero),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f109954,f4971])).
% 40.21/5.46 fof(f110156,plain,(
% 40.21/5.46 divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa))=zero),
% 40.21/5.46 inference(forward_demodulation,[status(thm)],[f11299,f110007])).
% 40.21/5.46 fof(f110377,plain,(
% 40.21/5.46 divide(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),zero)=zero),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f110156,f76193])).
% 40.21/5.46 fof(f110512,plain,(
% 40.21/5.46 divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)=zero),
% 40.21/5.46 inference(forward_demodulation,[status(thm)],[f11299,f110377])).
% 40.21/5.46 fof(f110736,plain,(
% 40.21/5.46 quotient(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb,zero)),
% 40.21/5.46 inference(paramodulation,[status(thm)],[f110512,f26])).
% 40.21/5.46 fof(f110897,plain,(
% 40.21/5.46 less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)),
% 40.21/5.46 inference(resolution,[status(thm)],[f110736,f18])).
% 40.21/5.46 fof(f110914,plain,(
% 40.21/5.46 $false),
% 40.21/5.46 inference(forward_subsumption_resolution,[status(thm)],[f110897,f69257])).
% 40.21/5.46 % SZS output end CNFRefutation for theBenchmark.p
% 40.21/5.47 % Elapsed time: 5.157827 seconds
% 40.21/5.47 % CPU time: 40.731632 seconds
% 40.21/5.47 % Total memory used: 445.594 MB
% 40.21/5.47 % Net memory used: 394.481 MB
%------------------------------------------------------------------------------