%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP183-3 : 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 : n019.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 12:36:12 PM UTC 2026
% Result : Unsatisfiable 75.36s 10.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP183-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n019.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 20:04:23 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 75.36/10.20 % Refutation found
% 75.36/10.20 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 75.36/10.20 % SZS output start CNFRefutation for theBenchmark
% 75.36/10.20 fof(f1,axiom,(
% 75.36/10.20 (![X]: (multiply(identity,X) = X ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f2,axiom,(
% 75.36/10.20 (![X]: (multiply(inverse(X),X) = identity ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f3,axiom,(
% 75.36/10.20 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f4,axiom,(
% 75.36/10.20 (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f5,axiom,(
% 75.36/10.20 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f6,axiom,(
% 75.36/10.20 (![X,Y,Z]: (greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z) ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f7,axiom,(
% 75.36/10.20 (![X,Y,Z]: (least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f10,axiom,(
% 75.36/10.20 (![X,Y]: (least_upper_bound(X,greatest_lower_bound(X,Y)) = X ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f11,axiom,(
% 75.36/10.20 (![X,Y]: (greatest_lower_bound(X,least_upper_bound(X,Y)) = X ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f12,axiom,(
% 75.36/10.20 (![X,Y,Z]: (multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)) ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f14,axiom,(
% 75.36/10.20 (![Y,Z,X]: (multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ))),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f16,negated_conjecture,(
% 75.36/10.20 greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity)) != identity ),
% 75.36/10.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 75.36/10.20 fof(f17,plain,(
% 75.36/10.20 ![X0]: (multiply(identity,X0)=X0)),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f1])).
% 75.36/10.20 fof(f18,plain,(
% 75.36/10.20 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f2])).
% 75.36/10.20 fof(f19,plain,(
% 75.36/10.20 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f3])).
% 75.36/10.20 fof(f20,plain,(
% 75.36/10.20 ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f4])).
% 75.36/10.20 fof(f21,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f5])).
% 75.36/10.20 fof(f22,plain,(
% 75.36/10.20 ![X0,X1,X2]: (greatest_lower_bound(X0,greatest_lower_bound(X1,X2))=greatest_lower_bound(greatest_lower_bound(X0,X1),X2))),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f6])).
% 75.36/10.20 fof(f23,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,X2))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f7])).
% 75.36/10.20 fof(f26,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X0,X1))=X0)),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f10])).
% 75.36/10.20 fof(f27,plain,(
% 75.36/10.20 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X0,X1))=X0)),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f11])).
% 75.36/10.20 fof(f28,plain,(
% 75.36/10.20 ![X0,X1,X2]: (multiply(X0,least_upper_bound(X1,X2))=least_upper_bound(multiply(X0,X1),multiply(X0,X2)))),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f12])).
% 75.36/10.20 fof(f30,plain,(
% 75.36/10.20 ![X0,X1,X2]: (multiply(least_upper_bound(X0,X1),X2)=least_upper_bound(multiply(X0,X2),multiply(X1,X2)))),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f14])).
% 75.36/10.20 fof(f32,plain,(
% 75.36/10.20 ~greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity))=identity),
% 75.36/10.20 inference(cnf_transformation,[status(thm)],[f16])).
% 75.36/10.20 fof(f33,definition,(
% 75.36/10.20 sF1_fnc=least_upper_bound(a,identity)),
% 75.36/10.20 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 75.36/10.20 fof(f34,definition,(
% 75.36/10.20 sF3_fnc=inverse(a)),
% 75.36/10.20 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 75.36/10.20 fof(f35,definition,(
% 75.36/10.20 sF2_fnc=least_upper_bound(sF3_fnc,identity)),
% 75.36/10.20 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 75.36/10.20 fof(f36,definition,(
% 75.36/10.20 sF0_fnc=greatest_lower_bound(sF1_fnc,sF2_fnc)),
% 75.36/10.20 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 75.36/10.20 fof(f37,plain,(
% 75.36/10.20 ~sF0_fnc=identity),
% 75.36/10.20 inference(definition_folding,[],[f32,f36,f35,f34,f33])).
% 75.36/10.20 fof(f38,plain,(
% 75.36/10.20 sF2_fnc=least_upper_bound(identity,sF3_fnc)),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f35])).
% 75.36/10.20 fof(f39,plain,(
% 75.36/10.20 multiply(sF3_fnc,a)=identity),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f34,f18])).
% 75.36/10.20 fof(f40,plain,(
% 75.36/10.20 least_upper_bound(sF1_fnc,sF0_fnc)=sF1_fnc),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f36,f26])).
% 75.36/10.20 fof(f42,plain,(
% 75.36/10.20 least_upper_bound(sF0_fnc,sF1_fnc)=sF1_fnc),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f40])).
% 75.36/10.20 fof(f44,plain,(
% 75.36/10.20 greatest_lower_bound(identity,sF2_fnc)=identity),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f38,f27])).
% 75.36/10.20 fof(f56,plain,(
% 75.36/10.20 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X1,X0))=X0)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f21,f27])).
% 75.36/10.20 fof(f60,plain,(
% 75.36/10.20 greatest_lower_bound(sF3_fnc,sF2_fnc)=sF3_fnc),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f38,f56])).
% 75.36/10.20 fof(f61,plain,(
% 75.36/10.20 greatest_lower_bound(identity,sF1_fnc)=identity),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f33,f56])).
% 75.36/10.20 fof(f68,plain,(
% 75.36/10.20 greatest_lower_bound(sF2_fnc,sF3_fnc)=sF3_fnc),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f20,f60])).
% 75.36/10.20 fof(f70,plain,(
% 75.36/10.20 least_upper_bound(sF2_fnc,sF3_fnc)=sF2_fnc),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f68,f26])).
% 75.36/10.20 fof(f75,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X1,X0))=X0)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f20,f26])).
% 75.36/10.20 fof(f103,plain,(
% 75.36/10.20 ![X0]: (greatest_lower_bound(identity,greatest_lower_bound(sF1_fnc,X0))=greatest_lower_bound(identity,X0))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f61,f22])).
% 75.36/10.20 fof(f115,plain,(
% 75.36/10.20 least_upper_bound(sF2_fnc,sF0_fnc)=sF2_fnc),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f36,f75])).
% 75.36/10.20 fof(f116,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(least_upper_bound(X0,X1),X1)=least_upper_bound(X0,X1))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f56,f75])).
% 75.36/10.20 fof(f117,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(least_upper_bound(X0,X1),X0)=least_upper_bound(X0,X1))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f27,f75])).
% 75.36/10.20 fof(f128,plain,(
% 75.36/10.20 least_upper_bound(sF0_fnc,sF2_fnc)=sF2_fnc),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f115])).
% 75.36/10.20 fof(f129,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X1,X0))=least_upper_bound(X1,X0))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f116])).
% 75.36/10.20 fof(f130,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X0,X1))=least_upper_bound(X0,X1))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f117])).
% 75.36/10.20 fof(f155,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X0,X1))=least_upper_bound(X1,X0))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f21,f129])).
% 75.36/10.20 fof(f215,plain,(
% 75.36/10.20 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X1,X0))=least_upper_bound(X0,X1))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f21,f130])).
% 75.36/10.20 fof(f480,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f18,f19])).
% 75.36/10.20 fof(f485,plain,(
% 75.36/10.20 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f17,f480])).
% 75.36/10.20 fof(f500,plain,(
% 75.36/10.20 ![X0]: (least_upper_bound(sF2_fnc,least_upper_bound(sF3_fnc,X0))=least_upper_bound(sF2_fnc,X0))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f70,f23])).
% 75.36/10.20 fof(f505,plain,(
% 75.36/10.20 ![X0]: (least_upper_bound(identity,least_upper_bound(sF3_fnc,X0))=least_upper_bound(sF2_fnc,X0))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f38,f23])).
% 75.36/10.20 fof(f507,plain,(
% 75.36/10.20 ![X0]: (least_upper_bound(a,least_upper_bound(identity,X0))=least_upper_bound(sF1_fnc,X0))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f33,f23])).
% 75.36/10.20 fof(f508,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(least_upper_bound(X1,X0),X2))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f215,f23])).
% 75.36/10.20 fof(f519,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(least_upper_bound(X0,X1),X2)))=least_upper_bound(X2,least_upper_bound(X0,X1)))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f23,f155])).
% 75.36/10.20 fof(f541,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X2)))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f23,f508])).
% 75.36/10.20 fof(f544,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X2)))=least_upper_bound(X0,least_upper_bound(X1,X2)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f23,f541])).
% 75.36/10.20 fof(f554,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X0,least_upper_bound(X1,X2))))=least_upper_bound(X2,least_upper_bound(X0,X1)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f23,f519])).
% 75.36/10.20 fof(f555,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X1,X2)))=least_upper_bound(X2,least_upper_bound(X0,X1)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f544,f554])).
% 75.36/10.20 fof(f556,plain,(
% 75.36/10.20 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,X2))=least_upper_bound(X1,least_upper_bound(X0,X2)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f155,f555])).
% 75.36/10.20 fof(f575,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X0,X1))=least_upper_bound(identity,multiply(inverse(X0),X1)))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f18,f28])).
% 75.36/10.20 fof(f579,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X1,X0))=least_upper_bound(multiply(inverse(X0),X1),identity))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f18,f28])).
% 75.36/10.20 fof(f599,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X1,X0))=least_upper_bound(identity,multiply(inverse(X0),X1)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f579])).
% 75.36/10.20 fof(f789,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f485,f485])).
% 75.36/10.20 fof(f790,plain,(
% 75.36/10.20 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f18,f485])).
% 75.36/10.20 fof(f792,plain,(
% 75.36/10.20 ![X0,X1,X2]: (multiply(inverse(X0),least_upper_bound(X1,multiply(X0,X2)))=least_upper_bound(multiply(inverse(X0),X1),X2))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f485,f28])).
% 75.36/10.20 fof(f797,plain,(
% 75.36/10.20 ![X0]: (X0=multiply(X0,identity))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f789,f790])).
% 75.36/10.20 fof(f921,plain,(
% 75.36/10.20 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f18,f789])).
% 75.36/10.20 fof(f922,plain,(
% 75.36/10.20 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f797,f789])).
% 75.36/10.20 fof(f934,plain,(
% 75.36/10.20 ![X0]: (X0=inverse(inverse(X0)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f797,f922])).
% 75.36/10.20 fof(f1009,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(least_upper_bound(identity,X0),X1)=least_upper_bound(X1,multiply(X0,X1)))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f17,f30])).
% 75.36/10.20 fof(f1015,plain,(
% 75.36/10.20 ![X0]: (multiply(least_upper_bound(X0,sF3_fnc),a)=least_upper_bound(multiply(X0,a),identity))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f39,f30])).
% 75.36/10.20 fof(f1036,plain,(
% 75.36/10.20 ![X0]: (multiply(least_upper_bound(X0,sF3_fnc),a)=least_upper_bound(identity,multiply(X0,a)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f1015])).
% 75.36/10.20 fof(f1052,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(X0,multiply(X1,inverse(multiply(X0,X1))))=identity)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f19,f921])).
% 75.36/10.20 fof(f2444,plain,(
% 75.36/10.20 ![X0]: (least_upper_bound(identity,least_upper_bound(X0,sF3_fnc))=least_upper_bound(sF2_fnc,least_upper_bound(sF3_fnc,X0)))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f155,f505])).
% 75.36/10.20 fof(f2470,plain,(
% 75.36/10.20 ![X0]: (least_upper_bound(identity,least_upper_bound(X0,sF3_fnc))=least_upper_bound(sF2_fnc,X0))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f500,f2444])).
% 75.36/10.20 fof(f3049,plain,(
% 75.36/10.20 greatest_lower_bound(identity,sF0_fnc)=greatest_lower_bound(identity,sF2_fnc)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f36,f103])).
% 75.36/10.20 fof(f3090,plain,(
% 75.36/10.20 greatest_lower_bound(identity,sF0_fnc)=identity),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f44,f3049])).
% 75.36/10.20 fof(f3140,plain,(
% 75.36/10.20 least_upper_bound(sF0_fnc,identity)=sF0_fnc),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f3090,f75])).
% 75.36/10.20 fof(f3156,plain,(
% 75.36/10.20 least_upper_bound(identity,sF0_fnc)=sF0_fnc),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f3140])).
% 75.36/10.20 fof(f3159,plain,(
% 75.36/10.20 ![X0]: (least_upper_bound(identity,least_upper_bound(sF0_fnc,X0))=least_upper_bound(sF0_fnc,X0))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f3156,f23])).
% 75.36/10.20 fof(f9213,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=multiply(inverse(X1),identity))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f1052,f485])).
% 75.36/10.20 fof(f9265,plain,(
% 75.36/10.20 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f797,f9213])).
% 75.36/10.20 fof(f12480,plain,(
% 75.36/10.20 multiply(inverse(sF0_fnc),sF1_fnc)=least_upper_bound(identity,multiply(inverse(sF0_fnc),sF1_fnc))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f42,f575])).
% 75.36/10.20 fof(f12711,plain,(
% 75.36/10.20 multiply(inverse(sF0_fnc),sF0_fnc)=least_upper_bound(identity,multiply(inverse(sF0_fnc),identity))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f3156,f599])).
% 75.36/10.20 fof(f12782,plain,(
% 75.36/10.20 identity=least_upper_bound(identity,multiply(inverse(sF0_fnc),identity))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f18,f12711])).
% 75.36/10.20 fof(f12783,plain,(
% 75.36/10.20 identity=least_upper_bound(identity,inverse(sF0_fnc))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f797,f12782])).
% 75.36/10.20 fof(f13230,plain,(
% 75.36/10.20 least_upper_bound(a,identity)=least_upper_bound(sF1_fnc,inverse(sF0_fnc))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f12783,f507])).
% 75.36/10.20 fof(f13256,plain,(
% 75.36/10.20 sF1_fnc=least_upper_bound(sF1_fnc,inverse(sF0_fnc))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f33,f13230])).
% 75.36/10.20 fof(f21728,plain,(
% 75.36/10.20 ![X0]: (multiply(sF2_fnc,X0)=least_upper_bound(X0,multiply(sF3_fnc,X0)))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f38,f1009])).
% 75.36/10.20 fof(f30045,plain,(
% 75.36/10.20 multiply(sF2_fnc,a)=least_upper_bound(a,identity)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f39,f21728])).
% 75.36/10.20 fof(f30207,plain,(
% 75.36/10.20 multiply(sF2_fnc,a)=sF1_fnc),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f33,f30045])).
% 75.36/10.20 fof(f43512,plain,(
% 75.36/10.20 least_upper_bound(sF2_fnc,sF0_fnc)=least_upper_bound(sF0_fnc,sF3_fnc)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f2470,f3159])).
% 75.36/10.20 fof(f43621,plain,(
% 75.36/10.20 least_upper_bound(sF0_fnc,sF2_fnc)=least_upper_bound(sF0_fnc,sF3_fnc)),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f43512])).
% 75.36/10.20 fof(f43622,plain,(
% 75.36/10.20 sF2_fnc=least_upper_bound(sF0_fnc,sF3_fnc)),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f128,f43621])).
% 75.36/10.20 fof(f51404,plain,(
% 75.36/10.20 multiply(sF2_fnc,a)=least_upper_bound(identity,multiply(sF0_fnc,a))),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f43622,f1036])).
% 75.36/10.20 fof(f51466,plain,(
% 75.36/10.20 sF1_fnc=least_upper_bound(identity,multiply(sF0_fnc,a))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f30207,f51404])).
% 75.36/10.20 fof(f51556,plain,(
% 75.36/10.20 multiply(inverse(sF0_fnc),sF1_fnc)=least_upper_bound(multiply(inverse(sF0_fnc),identity),a)),
% 75.36/10.20 inference(paramodulation,[status(thm)],[f51466,f792])).
% 75.36/10.20 fof(f51599,plain,(
% 75.36/10.20 multiply(inverse(sF0_fnc),sF1_fnc)=least_upper_bound(a,multiply(inverse(sF0_fnc),identity))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f21,f51556])).
% 75.36/10.20 fof(f51603,plain,(
% 75.36/10.20 multiply(inverse(sF0_fnc),sF1_fnc)=least_upper_bound(identity,least_upper_bound(a,inverse(sF0_fnc)))),
% 75.36/10.20 inference(backward_demodulation,[status(thm)],[f51604,f12480])).
% 75.36/10.20 fof(f51604,plain,(
% 75.36/10.20 multiply(inverse(sF0_fnc),sF1_fnc)=least_upper_bound(a,inverse(sF0_fnc))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f797,f51599])).
% 75.36/10.20 fof(f51653,plain,(
% 75.36/10.20 least_upper_bound(a,inverse(sF0_fnc))=least_upper_bound(identity,least_upper_bound(a,inverse(sF0_fnc)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f51604,f51603])).
% 75.36/10.20 fof(f51654,plain,(
% 75.36/10.20 least_upper_bound(a,inverse(sF0_fnc))=least_upper_bound(a,least_upper_bound(identity,inverse(sF0_fnc)))),
% 75.36/10.20 inference(forward_demodulation,[status(thm)],[f556,f51653])).
% 75.36/10.20 fof(f51655,plain,(
% 77.25/10.32 least_upper_bound(a,inverse(sF0_fnc))=least_upper_bound(sF1_fnc,inverse(sF0_fnc))),
% 77.25/10.32 inference(forward_demodulation,[status(thm)],[f507,f51654])).
% 77.25/10.32 fof(f51659,plain,(
% 77.25/10.32 multiply(inverse(sF0_fnc),sF1_fnc)=sF1_fnc),
% 77.25/10.32 inference(backward_demodulation,[status(thm)],[f51660,f51604])).
% 77.25/10.32 fof(f51660,plain,(
% 77.25/10.32 least_upper_bound(a,inverse(sF0_fnc))=sF1_fnc),
% 77.25/10.32 inference(forward_demodulation,[status(thm)],[f13256,f51655])).
% 77.25/10.32 fof(f51692,plain,(
% 77.25/10.32 multiply(sF1_fnc,inverse(sF1_fnc))=inverse(inverse(sF0_fnc))),
% 77.25/10.32 inference(paramodulation,[status(thm)],[f51659,f9265])).
% 77.25/10.32 fof(f51815,plain,(
% 77.25/10.32 identity=inverse(inverse(sF0_fnc))),
% 77.25/10.32 inference(forward_demodulation,[status(thm)],[f921,f51692])).
% 77.25/10.32 fof(f51816,plain,(
% 77.25/10.32 identity=sF0_fnc),
% 77.25/10.32 inference(forward_demodulation,[status(thm)],[f934,f51815])).
% 77.25/10.32 fof(f51817,plain,(
% 77.25/10.32 $false),
% 77.25/10.32 inference(forward_subsumption_resolution,[status(thm)],[f51816,f37])).
% 77.25/10.32 % SZS output end CNFRefutation for theBenchmark.p
% 10.12/10.36 % Elapsed time: 9.886507 seconds
% 10.12/10.36 % CPU time: 77.964432 seconds
% 10.12/10.36 % Total memory used: 648.139 MB
% 10.12/10.36 % Net memory used: 638.219 MB
%------------------------------------------------------------------------------