%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN009-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 6.58s 11.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN009-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n006.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sun Sep 20 20:46:23 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.39 % Drodi V4.1.1
% 6.58/11.30 % Refutation found
% 6.58/11.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.58/11.30 % SZS output start CNFRefutation for theBenchmark
% 6.58/11.30 fof(f1,axiom,(
% 6.58/11.30 (![X,Y]: (divide(divide(X,Y),X) = zero ))),
% 6.58/11.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.58/11.30 fof(f2,axiom,(
% 6.58/11.30 (![X,Z,Y]: (divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ))),
% 6.58/11.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.58/11.30 fof(f3,axiom,(
% 6.58/11.30 (![X]: (divide(zero,X) = zero ))),
% 6.58/11.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.58/11.30 fof(f4,axiom,(
% 6.58/11.30 (![X,Y]: (( divide(X,Y) != zero| divide(Y,X) != zero| X = Y ) ))),
% 6.58/11.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.58/11.30 fof(f5,axiom,(
% 6.58/11.30 (![X]: (divide(X,identity) = zero ))),
% 6.58/11.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.58/11.30 fof(f7,axiom,(
% 6.58/11.30 (![X,Y,Z]: (( divide(divide(X,Y),Z) != zero| divide(divide(X,Z),Y) = zero ) ))),
% 6.58/11.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.58/11.30 fof(f9,negated_conjecture,(
% 6.58/11.30 divide(identity,a) != divide(identity,divide(identity,divide(identity,a))) ),
% 6.58/11.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.58/11.30 fof(f10,plain,(
% 6.58/11.30 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 6.58/11.30 inference(cnf_transformation,[status(thm)],[f1])).
% 6.58/11.30 fof(f11,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 6.58/11.30 inference(cnf_transformation,[status(thm)],[f2])).
% 6.58/11.30 fof(f12,plain,(
% 6.58/11.30 ![X0]: (divide(zero,X0)=zero)),
% 6.58/11.30 inference(cnf_transformation,[status(thm)],[f3])).
% 6.58/11.30 fof(f13,plain,(
% 6.58/11.30 ![X0,X1]: (~divide(X0,X1)=zero|~divide(X1,X0)=zero|X0=X1)),
% 6.58/11.30 inference(cnf_transformation,[status(thm)],[f4])).
% 6.58/11.30 fof(f14,plain,(
% 6.58/11.30 ![X0]: (divide(X0,identity)=zero)),
% 6.58/11.30 inference(cnf_transformation,[status(thm)],[f5])).
% 6.58/11.30 fof(f17,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(X0,X1),X2)=zero|divide(divide(X0,X2),X1)=zero)),
% 6.58/11.30 inference(cnf_transformation,[status(thm)],[f7])).
% 6.58/11.30 fof(f20,plain,(
% 6.58/11.30 ~divide(identity,a)=divide(identity,divide(identity,divide(identity,a)))),
% 6.58/11.30 inference(cnf_transformation,[status(thm)],[f9])).
% 6.58/11.30 fof(f34,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f10,f11])).
% 6.58/11.30 fof(f40,plain,(
% 6.58/11.30 ![X0,X1,X2,X3]: (divide(divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(divide(X0,X2),X1),X3)),divide(zero,X3))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f11,f11])).
% 6.58/11.30 fof(f41,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f10,f11])).
% 6.58/11.30 fof(f43,plain,(
% 6.58/11.30 ![X0,X1]: (divide(divide(divide(X0,X1),divide(identity,X1)),divide(zero,X1))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f14,f11])).
% 6.58/11.30 fof(f52,plain,(
% 6.58/11.30 ![X0,X1,X2,X3]: (divide(divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(divide(X0,X2),X1),X3)),zero)=zero)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f12,f40])).
% 6.58/11.30 fof(f53,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero)=zero)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f12,f41])).
% 6.58/11.30 fof(f54,plain,(
% 6.58/11.30 ![X0,X1]: (divide(divide(divide(X0,X1),divide(identity,X1)),zero)=zero)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f12,f43])).
% 6.58/11.30 fof(f55,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))=zero|divide(divide(X0,X2),divide(X1,X2))=divide(divide(X0,X1),X2))),
% 6.58/11.30 inference(resolution,[status(thm)],[f13,f11])).
% 6.58/11.30 fof(f56,plain,(
% 6.58/11.30 ![X0,X1]: (~divide(X0,divide(X0,X1))=zero|divide(X0,X1)=X0)),
% 6.58/11.30 inference(resolution,[status(thm)],[f13,f10])).
% 6.58/11.30 fof(f58,plain,(
% 6.58/11.30 ![X0]: (~divide(X0,zero)=zero|zero=X0)),
% 6.58/11.30 inference(resolution,[status(thm)],[f13,f12])).
% 6.58/11.30 fof(f69,definition,(
% 6.58/11.30 sQ0_spl <=> (zero=zero)),
% 6.58/11.30 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 6.58/11.30 fof(f71,plain,(
% 6.58/11.30 ~zero=zero|sQ0_spl),
% 6.58/11.30 inference(component_clause,[status(thm)],[f69])).
% 6.58/11.30 fof(f88,plain,(
% 6.58/11.30 $false|sQ0_spl),
% 6.58/11.30 inference(trivial_equality_resolution,[status(thm)],[f71])).
% 6.58/11.30 fof(f89,plain,(
% 6.58/11.30 sQ0_spl),
% 6.58/11.30 inference(contradiction_clause,[status(thm)],[f88])).
% 6.58/11.30 fof(f130,plain,(
% 6.58/11.30 ![X0,X1]: (divide(divide(X0,X0),X1)=zero)),
% 6.58/11.30 inference(resolution,[status(thm)],[f17,f10])).
% 6.58/11.30 fof(f135,plain,(
% 6.58/11.30 ![X0,X1,X2,X3]: (~divide(zero,X0)=zero|divide(divide(divide(divide(X1,X2),divide(X3,X2)),X0),divide(divide(X1,X3),X2))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f11,f17])).
% 6.58/11.30 fof(f136,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(zero,X0)=zero|divide(divide(divide(X1,X2),X0),X1)=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f10,f17])).
% 6.58/11.30 fof(f153,plain,(
% 6.58/11.30 ![X0,X1,X2,X3]: (~zero=zero|divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(X0,X2),X1))=zero)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f12,f135])).
% 6.58/11.30 fof(f154,plain,(
% 6.58/11.30 ![X0,X1,X2,X3]: (divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(X0,X2),X1))=zero)),
% 6.58/11.30 inference(trivial_equality_resolution,[status(thm)],[f153])).
% 6.58/11.30 fof(f155,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~zero=zero|divide(divide(divide(X0,X1),X2),X0)=zero)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f12,f136])).
% 6.58/11.30 fof(f156,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),X0)=zero)),
% 6.58/11.30 inference(trivial_equality_resolution,[status(thm)],[f155])).
% 6.58/11.30 fof(f162,plain,(
% 6.58/11.30 ![X0]: (zero=divide(X0,X0))),
% 6.58/11.30 inference(resolution,[status(thm)],[f130,f58])).
% 6.58/11.30 fof(f248,plain,(
% 6.58/11.30 ![X0,X1]: (divide(divide(X0,divide(X0,X1)),X1)=zero)),
% 6.58/11.30 inference(resolution,[status(thm)],[f162,f17])).
% 6.58/11.30 fof(f575,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))=zero|divide(divide(X0,divide(X1,X2)),X1)=divide(divide(X0,X1),zero))),
% 6.58/11.30 inference(resolution,[status(thm)],[f34,f13])).
% 6.58/11.30 fof(f684,plain,(
% 6.58/11.30 ![X0]: (zero=divide(X0,divide(X0,zero)))),
% 6.58/11.30 inference(resolution,[status(thm)],[f248,f58])).
% 6.58/11.30 fof(f899,plain,(
% 6.58/11.30 ![X0]: (~divide(divide(X0,zero),X0)=zero|divide(X0,zero)=X0)),
% 6.58/11.30 inference(resolution,[status(thm)],[f684,f13])).
% 6.58/11.30 fof(f937,plain,(
% 6.58/11.30 ![X0]: (~zero=zero|divide(X0,zero)=X0)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f10,f899])).
% 6.58/11.30 fof(f953,plain,(
% 6.58/11.30 ![X0,X1,X2,X3]: (divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(divide(X0,X2),X1),X3))=zero)),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f1010,f52])).
% 6.58/11.30 fof(f959,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(X0,X2))=zero)),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f1010,f53])).
% 6.58/11.30 fof(f962,plain,(
% 6.58/11.30 ![X0,X1]: (divide(divide(X0,X1),divide(identity,X1))=zero)),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f1010,f54])).
% 6.58/11.30 fof(f999,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))=zero|divide(divide(X0,divide(X1,X2)),X1)=divide(X0,X1))),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f1010,f575])).
% 6.58/11.30 fof(f1010,plain,(
% 6.58/11.30 ![X0]: (divide(X0,zero)=X0)),
% 6.58/11.30 inference(trivial_equality_resolution,[status(thm)],[f937])).
% 6.58/11.30 fof(f1191,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))=zero|divide(divide(X0,divide(X1,X2)),X1)=divide(X0,X1))),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f1010,f999])).
% 6.58/11.30 fof(f1192,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,divide(X1,X2)),X1)=divide(X0,X1))),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f959,f1191])).
% 6.58/11.30 fof(f1198,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(X0,divide(X1,X2)),X1)=divide(X0,X1))),
% 6.58/11.30 inference(trivial_equality_resolution,[status(thm)],[f1192])).
% 6.58/11.30 fof(f1239,plain,(
% 6.58/11.30 ![X0,X1]: (~divide(divide(divide(X0,X1),X1),divide(divide(X0,X1),zero))=zero|divide(divide(X0,X1),divide(X1,X1))=divide(divide(X0,X1),X1))),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f162,f55])).
% 6.58/11.30 fof(f1362,plain,(
% 6.58/11.30 ![X0,X1]: (~divide(divide(divide(X0,X1),X1),divide(X0,X1))=zero|divide(divide(X0,X1),divide(X1,X1))=divide(divide(X0,X1),X1))),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f1010,f1239])).
% 6.58/11.30 fof(f1363,plain,(
% 6.58/11.30 ![X0,X1]: (~zero=zero|divide(divide(X0,X1),divide(X1,X1))=divide(divide(X0,X1),X1))),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f10,f1362])).
% 6.58/11.30 fof(f1364,plain,(
% 6.58/11.30 ![X0,X1]: (~zero=zero|divide(divide(X0,X1),zero)=divide(divide(X0,X1),X1))),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f162,f1363])).
% 6.58/11.30 fof(f1365,plain,(
% 6.58/11.30 ![X0,X1]: (~zero=zero|divide(X0,X1)=divide(divide(X0,X1),X1))),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f1010,f1364])).
% 6.58/11.30 fof(f1368,plain,(
% 6.58/11.30 ![X0,X1]: (divide(X0,X1)=divide(divide(X0,X1),X1))),
% 6.58/11.30 inference(trivial_equality_resolution,[status(thm)],[f1365])).
% 6.58/11.30 fof(f1603,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(divide(divide(X0,X1),X2),X1),divide(divide(X0,X1),divide(X2,X1)))=zero|divide(divide(divide(X0,X1),X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1))),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f1368,f55])).
% 6.58/11.30 fof(f1629,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(divide(divide(X0,X1),X2),X1),divide(divide(X0,X1),divide(X2,X1)))=zero|divide(divide(X0,X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1))),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f1368,f1603])).
% 6.58/11.30 fof(f1815,plain,(
% 6.58/11.30 ![X0,X1]: (~divide(divide(identity,X0),divide(X1,X0))=zero|divide(identity,X0)=divide(X1,X0))),
% 6.58/11.30 inference(resolution,[status(thm)],[f962,f13])).
% 6.58/11.30 fof(f2415,plain,(
% 6.58/11.30 ![X0,X1,X2,X3]: (divide(divide(divide(X0,X1),X2),divide(X0,divide(X1,X3)))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f1198,f156])).
% 6.58/11.30 fof(f2448,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1))),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f2415,f1629])).
% 6.58/11.30 fof(f2449,definition,(
% 6.58/11.30 ![X0,X1,X2]: (sQ92_spl <=> (divide(divide(X0,X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1)))),
% 6.58/11.30 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 6.58/11.30 fof(f2450,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1)|~sQ92_spl)),
% 6.58/11.30 inference(component_clause,[status(thm)],[f2449])).
% 6.58/11.30 fof(f2452,plain,(
% 6.58/11.30 ~sQ0_spl|sQ92_spl),
% 6.58/11.30 inference(split_clause,[status(thm)],[f2448,f69,f2449])).
% 6.58/11.30 fof(f2479,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f1198,f154])).
% 6.58/11.30 fof(f3613,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(divide(divide(X0,X2),X1),X2))=zero)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f1198,f953])).
% 6.58/11.30 fof(f3766,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X2),X1)|~sQ92_spl)),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f3767,f55])).
% 6.58/11.30 fof(f3767,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))=zero|~sQ92_spl)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f2450,f3613])).
% 6.58/11.30 fof(f3986,definition,(
% 6.58/11.30 ![X0,X1,X2]: (sQ129_spl <=> (divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X2),X1)))),
% 6.58/11.30 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 6.58/11.30 fof(f3987,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X2),X1)|~sQ129_spl)),
% 6.58/11.30 inference(component_clause,[status(thm)],[f3986])).
% 6.58/11.30 fof(f3989,plain,(
% 6.58/11.30 ~sQ0_spl|sQ129_spl|~sQ92_spl),
% 6.58/11.30 inference(split_clause,[status(thm)],[f3766,f69,f3986,f2449])).
% 6.58/11.30 fof(f4000,plain,(
% 6.58/11.30 ![X0,X1]: (~divide(divide(identity,X0),X1)=zero|divide(identity,X1)=divide(X0,X1)|~sQ129_spl)),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f3987,f1815])).
% 6.58/11.30 fof(f4076,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(divide(X0,X2),X1),X2)|~sQ129_spl|~sQ92_spl)),
% 6.58/11.30 inference(backward_demodulation,[status(thm)],[f3987,f2450])).
% 6.58/11.30 fof(f6386,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))=zero|divide(divide(divide(X0,X1),X2),X1)=divide(divide(X0,X1),X2)|~sQ129_spl|~sQ92_spl)),
% 6.58/11.30 inference(paramodulation,[status(thm)],[f4076,f56])).
% 6.58/11.30 fof(f6459,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~zero=zero|divide(divide(divide(X0,X1),X2),X1)=divide(divide(X0,X1),X2)|~sQ129_spl|~sQ92_spl)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f2479,f6386])).
% 6.58/11.30 fof(f6460,plain,(
% 6.58/11.30 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1)|~sQ129_spl|~sQ92_spl)),
% 6.58/11.30 inference(forward_demodulation,[status(thm)],[f4076,f6459])).
% 6.58/11.30 fof(f6463,plain,(
% 6.58/11.30 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X1,X2))=divide(X0,X1)|~sQ129_spl|~sQ92_spl)),
% 3.88/11.32 inference(backward_demodulation,[status(thm)],[f6494,f1198])).
% 3.88/11.32 fof(f6494,plain,(
% 3.88/11.32 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1)|~sQ129_spl|~sQ92_spl)),
% 3.88/11.32 inference(trivial_equality_resolution,[status(thm)],[f6460])).
% 3.88/11.32 fof(f7622,plain,(
% 3.88/11.32 ![X0]: (divide(identity,divide(identity,X0))=divide(X0,divide(identity,X0))|~sQ129_spl)),
% 3.88/11.32 inference(resolution,[status(thm)],[f4000,f162])).
% 3.88/11.32 fof(f8121,plain,(
% 3.88/11.32 ![X0]: (divide(identity,divide(identity,divide(identity,X0)))=divide(divide(identity,X0),divide(X0,divide(identity,X0)))|~sQ129_spl)),
% 3.88/11.32 inference(paramodulation,[status(thm)],[f7622,f7622])).
% 3.88/11.32 fof(f8220,plain,(
% 3.88/11.32 ~divide(identity,a)=divide(identity,a)|~sQ92_spl|~sQ129_spl),
% 3.88/11.32 inference(backward_demodulation,[status(thm)],[f8221,f20])).
% 3.88/11.32 fof(f8221,plain,(
% 3.88/11.32 ![X0]: (divide(identity,divide(identity,divide(identity,X0)))=divide(identity,X0)|~sQ92_spl|~sQ129_spl)),
% 3.88/11.32 inference(forward_demodulation,[status(thm)],[f6463,f8121])).
% 3.88/11.32 fof(f8334,plain,(
% 3.88/11.32 $false|~sQ92_spl|~sQ129_spl),
% 3.88/11.32 inference(trivial_equality_resolution,[status(thm)],[f8220])).
% 3.88/11.32 fof(f8335,plain,(
% 3.88/11.32 ~sQ92_spl|~sQ129_spl),
% 3.88/11.32 inference(contradiction_clause,[status(thm)],[f8334])).
% 3.88/11.32 fof(f8336,plain,(
% 3.88/11.32 $false),
% 3.88/11.32 inference(sat_refutation,[status(thm)],[f89,f2452,f3989,f8335])).
% 3.88/11.32 % SZS output end CNFRefutation for theBenchmark.p
% 3.88/11.34 % Elapsed time: 0.943312 seconds
% 3.88/11.34 % CPU time: 7.235924 seconds
% 3.88/11.34 % Total memory used: 166.848 MB
% 3.88/11.34 % Net memory used: 160.781 MB
%------------------------------------------------------------------------------