%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HEN011-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 3.42s 0.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN011-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n003.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:48:15 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 3.42/0.87 % Refutation found
% 3.42/0.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.42/0.87 % SZS output start CNFRefutation for theBenchmark
% 3.42/0.87 fof(f1,axiom,(
% 3.42/0.87 (![X,Y]: (divide(divide(X,Y),X) = zero ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f2,axiom,(
% 3.42/0.87 (![X,Z,Y]: (divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f3,axiom,(
% 3.42/0.87 (![X]: (divide(zero,X) = zero ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f4,axiom,(
% 3.42/0.87 (![X,Y]: (( divide(X,Y) != zero| divide(Y,X) != zero| X = Y ) ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f6,axiom,(
% 3.42/0.87 (![X]: (divide(X,X) = zero ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f7,axiom,(
% 3.42/0.87 (![X]: (divide(X,zero) = X ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f9,axiom,(
% 3.42/0.87 (![X,Y,Z]: (( divide(divide(X,Y),Z) != zero| divide(divide(X,Z),Y) = zero ) ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f10,axiom,(
% 3.42/0.87 (![X,Y,Z]: (( divide(X,Y) != zero| divide(divide(Z,Y),divide(Z,X)) = zero ) ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f12,axiom,(
% 3.42/0.87 (![X]: (divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ))),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f14,negated_conjecture,(
% 3.42/0.87 divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))) ),
% 3.42/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.42/0.87 fof(f15,plain,(
% 3.42/0.87 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f1])).
% 3.42/0.87 fof(f16,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f2])).
% 3.42/0.87 fof(f17,plain,(
% 3.42/0.87 ![X0]: (divide(zero,X0)=zero)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f3])).
% 3.42/0.87 fof(f18,plain,(
% 3.42/0.87 ![X0,X1]: (~divide(X0,X1)=zero|~divide(X1,X0)=zero|X0=X1)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f4])).
% 3.42/0.87 fof(f20,plain,(
% 3.42/0.87 ![X0]: (divide(X0,X0)=zero)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f6])).
% 3.42/0.87 fof(f21,plain,(
% 3.42/0.87 ![X0]: (divide(X0,zero)=X0)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f7])).
% 3.42/0.87 fof(f24,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~divide(divide(X0,X1),X2)=zero|divide(divide(X0,X2),X1)=zero)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f9])).
% 3.42/0.87 fof(f25,plain,(
% 3.42/0.87 ![X,Y]: (~divide(X,Y)=zero|(![Z]: divide(divide(Z,Y),divide(Z,X))=zero))),
% 3.42/0.87 inference(miniscoping,[status(thm)],[f10])).
% 3.42/0.87 fof(f26,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~divide(X0,X1)=zero|divide(divide(X2,X1),divide(X2,X0))=zero)),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f25])).
% 3.42/0.87 fof(f29,plain,(
% 3.42/0.87 ![X0]: (divide(identity,divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f12])).
% 3.42/0.87 fof(f31,plain,(
% 3.42/0.87 ~divide(divide(identity,a),divide(identity,divide(identity,b)))=divide(divide(identity,b),divide(identity,divide(identity,a)))),
% 3.42/0.87 inference(cnf_transformation,[status(thm)],[f14])).
% 3.42/0.87 fof(f46,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f15,f16])).
% 3.42/0.87 fof(f48,plain,(
% 3.42/0.87 ![X0,X1]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,X1),X1))=zero)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f20,f16])).
% 3.42/0.87 fof(f53,plain,(
% 3.42/0.87 ![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)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f16,f16])).
% 3.42/0.87 fof(f54,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2))=zero)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f15,f16])).
% 3.42/0.87 fof(f64,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f21,f46])).
% 3.42/0.87 fof(f67,plain,(
% 3.42/0.87 ![X0,X1]: (divide(divide(X0,X1),divide(divide(X0,X1),X1))=zero)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f21,f48])).
% 3.42/0.87 fof(f74,plain,(
% 3.42/0.87 ![X0,X1,X2,X3]: (divide(divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(divide(X0,X2),X1),X3)),zero)=zero)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f17,f53])).
% 3.42/0.87 fof(f75,plain,(
% 3.42/0.87 ![X0,X1,X2,X3]: (divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(divide(X0,X2),X1),X3))=zero)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f21,f74])).
% 3.42/0.87 fof(f76,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),zero)=zero)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f17,f54])).
% 3.42/0.87 fof(f77,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(X0,X2))=zero)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f21,f76])).
% 3.42/0.87 fof(f92,plain,(
% 3.42/0.87 ![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))),
% 3.42/0.87 inference(resolution,[status(thm)],[f18,f16])).
% 3.42/0.87 fof(f93,plain,(
% 3.42/0.87 ![X0,X1]: (~divide(X0,divide(X0,X1))=zero|divide(X0,X1)=X0)),
% 3.42/0.87 inference(resolution,[status(thm)],[f18,f15])).
% 3.42/0.87 fof(f95,plain,(
% 3.42/0.87 ~divide(zero,zero)=zero|zero=zero),
% 3.42/0.87 inference(resolution,[status(thm)],[f18,f21])).
% 3.42/0.87 fof(f108,definition,(
% 3.42/0.87 sQ0_spl <=> (divide(zero,zero)=zero)),
% 3.42/0.87 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 3.42/0.87 fof(f110,plain,(
% 3.42/0.87 ~divide(zero,zero)=zero|sQ0_spl),
% 3.42/0.87 inference(component_clause,[status(thm)],[f108])).
% 3.42/0.87 fof(f111,definition,(
% 3.42/0.87 sQ1_spl <=> (zero=zero)),
% 3.42/0.87 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 3.42/0.87 fof(f114,plain,(
% 3.42/0.87 ~sQ0_spl|sQ1_spl),
% 3.42/0.87 inference(split_clause,[status(thm)],[f95,f108,f111])).
% 3.42/0.87 fof(f132,plain,(
% 3.42/0.87 ~zero=zero|sQ0_spl),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f17,f110])).
% 3.42/0.87 fof(f133,plain,(
% 3.42/0.87 $false|sQ0_spl),
% 3.42/0.87 inference(trivial_equality_resolution,[status(thm)],[f132])).
% 3.42/0.87 fof(f134,plain,(
% 3.42/0.87 sQ0_spl),
% 3.42/0.87 inference(contradiction_clause,[status(thm)],[f133])).
% 3.42/0.87 fof(f223,plain,(
% 3.42/0.87 ![X0,X1]: (divide(divide(X0,divide(X0,X1)),X1)=zero)),
% 3.42/0.87 inference(resolution,[status(thm)],[f24,f20])).
% 3.42/0.87 fof(f231,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~divide(zero,X0)=zero|divide(divide(divide(X1,X2),X0),X1)=zero)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f15,f24])).
% 3.42/0.87 fof(f257,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(divide(X0,X1),X2),X0)=zero)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f17,f231])).
% 3.42/0.87 fof(f258,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),X0)=zero)),
% 3.42/0.87 inference(trivial_equality_resolution,[status(thm)],[f257])).
% 3.42/0.87 fof(f279,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X0,divide(X1,X2)))=zero)),
% 3.42/0.87 inference(resolution,[status(thm)],[f26,f15])).
% 3.42/0.87 fof(f1191,plain,(
% 3.42/0.87 ![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))),
% 3.42/0.87 inference(resolution,[status(thm)],[f64,f18])).
% 3.42/0.87 fof(f1250,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,divide(X1,X2)),X1)=divide(X0,X1))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f77,f1191])).
% 3.42/0.87 fof(f1258,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(X0,divide(X1,X2)),X1)=divide(X0,X1))),
% 3.42/0.87 inference(trivial_equality_resolution,[status(thm)],[f1250])).
% 3.42/0.87 fof(f1412,plain,(
% 3.42/0.87 ![X0,X1]: (~divide(divide(divide(X0,X1),X1),divide(X0,X1))=zero|divide(divide(X0,X1),X1)=divide(X0,X1))),
% 3.42/0.87 inference(resolution,[status(thm)],[f67,f18])).
% 3.42/0.87 fof(f1463,plain,(
% 3.42/0.87 ![X0,X1]: (~zero=zero|divide(divide(X0,X1),X1)=divide(X0,X1))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f15,f1412])).
% 3.42/0.87 fof(f1473,plain,(
% 3.42/0.87 ![X0,X1]: (divide(divide(X0,X1),X1)=divide(X0,X1))),
% 3.42/0.87 inference(trivial_equality_resolution,[status(thm)],[f1463])).
% 3.42/0.87 fof(f2190,plain,(
% 3.42/0.87 ![X0,X1,X2,X3]: (divide(divide(divide(X0,X1),X2),divide(X0,divide(X1,X3)))=zero)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f1258,f258])).
% 3.42/0.87 fof(f2243,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(divide(divide(X0,X2),X1),X2))=zero)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f1258,f75])).
% 3.42/0.87 fof(f2787,plain,(
% 3.42/0.87 ![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))),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f1473,f92])).
% 3.42/0.87 fof(f2803,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~divide(divide(divide(X0,divide(X1,divide(X1,X2))),X2),divide(divide(X0,X2),zero))=zero|divide(divide(X0,X2),divide(divide(X1,divide(X1,X2)),X2))=divide(divide(X0,divide(X1,divide(X1,X2))),X2))),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f223,f92])).
% 3.42/0.87 fof(f3003,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(divide(X0,X1),X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f2190,f2787])).
% 3.42/0.87 fof(f3004,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f1473,f3003])).
% 3.42/0.87 fof(f3006,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))=zero)),
% 3.42/0.87 inference(backward_demodulation,[status(thm)],[f3009,f2243])).
% 3.42/0.87 fof(f3009,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X2,X1))=divide(divide(divide(X0,X1),X2),X1))),
% 3.42/0.87 inference(trivial_equality_resolution,[status(thm)],[f3004])).
% 3.42/0.87 fof(f3083,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~divide(divide(divide(X0,divide(X1,divide(X1,X2))),X2),divide(X0,X2))=zero|divide(divide(X0,X2),divide(divide(X1,divide(X1,X2)),X2))=divide(divide(X0,divide(X1,divide(X1,X2))),X2))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f21,f2803])).
% 3.42/0.87 fof(f3084,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),divide(divide(X2,divide(X2,X1)),X1))=divide(divide(X0,divide(X2,divide(X2,X1))),X1))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f77,f3083])).
% 3.42/0.87 fof(f3085,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),zero)=divide(divide(X0,divide(X2,divide(X2,X1))),X1))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f223,f3084])).
% 3.42/0.87 fof(f3086,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(X0,X1)=divide(divide(X0,divide(X2,divide(X2,X1))),X1))),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f21,f3085])).
% 3.42/0.87 fof(f3090,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X2,divide(X2,X1))),X1))),
% 3.42/0.87 inference(trivial_equality_resolution,[status(thm)],[f3086])).
% 3.42/0.87 fof(f3122,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X2),X1))),
% 3.42/0.87 inference(backward_demodulation,[status(thm)],[f3006,f92])).
% 3.42/0.87 fof(f3128,definition,(
% 3.42/0.87 ![X0,X1,X2]: (sQ83_spl <=> (divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X2),X1)))),
% 3.42/0.87 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 3.42/0.87 fof(f3129,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X2),X1)|~sQ83_spl)),
% 3.42/0.87 inference(component_clause,[status(thm)],[f3128])).
% 3.42/0.87 fof(f3131,plain,(
% 3.42/0.87 ~sQ1_spl|sQ83_spl),
% 3.42/0.87 inference(split_clause,[status(thm)],[f3122,f111,f3128])).
% 3.42/0.87 fof(f3196,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(divide(X0,X2),X1),X2)|~sQ83_spl)),
% 3.42/0.87 inference(backward_demodulation,[status(thm)],[f3129,f3009])).
% 3.42/0.87 fof(f3710,plain,(
% 3.42/0.87 ![X0,X1]: (divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0))))=divide(divide(identity,X1),divide(identity,divide(identity,X0)))|~sQ83_spl)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f29,f3129])).
% 3.42/0.87 fof(f3747,plain,(
% 3.42/0.87 ![X0,X1,X2]: (divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))=zero|~sQ83_spl)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f3129,f279])).
% 3.42/0.87 fof(f5302,plain,(
% 3.42/0.87 ![X0,X1,X2,X3]: (divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,divide(X2,divide(X3,divide(X3,X1)))),X1)|~sQ83_spl)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f3090,f3129])).
% 3.42/0.87 fof(f5376,plain,(
% 3.42/0.87 ![X0,X1,X2,X3]: (divide(divide(X0,X1),X2)=divide(divide(X0,divide(X1,divide(X3,divide(X3,X2)))),X2)|~sQ83_spl)),
% 3.42/0.87 inference(forward_demodulation,[status(thm)],[f3129,f5302])).
% 3.42/0.87 fof(f5569,plain,(
% 3.42/0.87 ![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)|~sQ83_spl)),
% 3.42/0.87 inference(paramodulation,[status(thm)],[f3196,f93])).
% 3.42/0.87 fof(f5647,plain,(
% 3.42/0.87 ![X0,X1,X2]: (~zero=zero|divide(divide(divide(X0,X1),X2),X1)=divide(divide(X0,X1),X2)|~sQ83_spl)),
% 3.42/0.88 inference(forward_demodulation,[status(thm)],[f3747,f5569])).
% 3.42/0.88 fof(f5648,plain,(
% 3.42/0.88 ![X0,X1,X2]: (~zero=zero|divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1)|~sQ83_spl)),
% 3.42/0.88 inference(forward_demodulation,[status(thm)],[f3196,f5647])).
% 3.42/0.88 fof(f5681,plain,(
% 3.42/0.88 ![X0,X1,X2,X3]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),divide(X1,divide(X3,divide(X3,X2))))|~sQ83_spl)),
% 3.42/0.88 inference(backward_demodulation,[status(thm)],[f5686,f5376])).
% 3.42/0.88 fof(f5686,plain,(
% 3.42/0.88 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1)|~sQ83_spl)),
% 3.42/0.88 inference(trivial_equality_resolution,[status(thm)],[f5648])).
% 3.42/0.88 fof(f5705,plain,(
% 3.42/0.88 ![X0,X1]: (divide(divide(identity,X0),X1)=divide(divide(identity,X0),divide(identity,divide(identity,X1)))|~sQ83_spl)),
% 3.42/0.88 inference(backward_demodulation,[status(thm)],[f5681,f3710])).
% 3.42/0.88 fof(f5735,plain,(
% 3.42/0.88 ~divide(divide(identity,a),divide(identity,divide(identity,b)))=divide(divide(identity,b),a)|~sQ83_spl),
% 3.42/0.88 inference(backward_demodulation,[status(thm)],[f5705,f31])).
% 3.42/0.88 fof(f5756,plain,(
% 3.42/0.88 ~divide(divide(identity,a),b)=divide(divide(identity,b),a)|~sQ83_spl),
% 3.42/0.88 inference(forward_demodulation,[status(thm)],[f5705,f5735])).
% 3.42/0.88 fof(f5757,plain,(
% 3.42/0.88 ~divide(divide(identity,a),b)=divide(divide(identity,a),b)|~sQ83_spl),
% 3.42/0.88 inference(forward_demodulation,[status(thm)],[f5686,f5756])).
% 3.42/0.88 fof(f5758,plain,(
% 3.42/0.88 $false|~sQ83_spl),
% 3.42/0.88 inference(trivial_equality_resolution,[status(thm)],[f5757])).
% 3.42/0.88 fof(f5759,plain,(
% 3.42/0.88 ~sQ83_spl),
% 3.42/0.88 inference(contradiction_clause,[status(thm)],[f5758])).
% 3.42/0.88 fof(f5760,plain,(
% 3.42/0.88 $false),
% 3.42/0.88 inference(sat_refutation,[status(thm)],[f114,f134,f3131,f5759])).
% 3.42/0.88 % SZS output end CNFRefutation for theBenchmark.p
% 1.08/0.91 % Elapsed time: 0.545056 seconds
% 1.08/0.91 % CPU time: 4.077213 seconds
% 1.08/0.91 % Total memory used: 124.351 MB
% 1.08/0.91 % Net memory used: 119.892 MB
%------------------------------------------------------------------------------