%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP183-4 : 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 : n015.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 81.94s 15.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP183-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.43 % Computer : n015.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Sun Sep 20 20:08:25 UTC 2026
% 0.17/5.43 % CPUTime :
% 0.17/5.44 % Drodi V4.1.1
% 81.94/15.85 % Refutation found
% 81.94/15.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 81.94/15.85 % SZS output start CNFRefutation for theBenchmark
% 81.94/15.85 fof(f1,axiom,(
% 81.94/15.85 (![X]: (multiply(identity,X) = X ))),
% 81.94/15.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.85 fof(f2,axiom,(
% 81.94/15.85 (![X]: (multiply(inverse(X),X) = identity ))),
% 81.94/15.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.85 fof(f3,axiom,(
% 81.94/15.85 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 81.94/15.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.85 fof(f4,axiom,(
% 81.94/15.85 (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ))),
% 81.94/15.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.85 fof(f5,axiom,(
% 81.94/15.85 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 81.94/15.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.85 fof(f6,axiom,(
% 81.94/15.85 (![X,Y,Z]: (greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z) ))),
% 81.94/15.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.85 fof(f7,axiom,(
% 81.94/15.86 (![X,Y,Z]: (least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ))),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f10,axiom,(
% 81.94/15.86 (![X,Y]: (least_upper_bound(X,greatest_lower_bound(X,Y)) = X ))),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f11,axiom,(
% 81.94/15.86 (![X,Y]: (greatest_lower_bound(X,least_upper_bound(X,Y)) = X ))),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f12,axiom,(
% 81.94/15.86 (![X,Y,Z]: (multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)) ))),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f14,axiom,(
% 81.94/15.86 (![Y,Z,X]: (multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ))),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f17,hypothesis,(
% 81.94/15.86 (![X]: (inverse(inverse(X)) = X ))),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f18,hypothesis,(
% 81.94/15.86 (![X,Y]: (inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)) ))),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f19,negated_conjecture,(
% 81.94/15.86 greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity)) != identity ),
% 81.94/15.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 81.94/15.86 fof(f20,plain,(
% 81.94/15.86 ![X0]: (multiply(identity,X0)=X0)),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f1])).
% 81.94/15.86 fof(f21,plain,(
% 81.94/15.86 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f2])).
% 81.94/15.86 fof(f22,plain,(
% 81.94/15.86 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f3])).
% 81.94/15.86 fof(f23,plain,(
% 81.94/15.86 ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f4])).
% 81.94/15.86 fof(f24,plain,(
% 81.94/15.86 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f5])).
% 81.94/15.86 fof(f25,plain,(
% 81.94/15.86 ![X0,X1,X2]: (greatest_lower_bound(X0,greatest_lower_bound(X1,X2))=greatest_lower_bound(greatest_lower_bound(X0,X1),X2))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f6])).
% 81.94/15.86 fof(f26,plain,(
% 81.94/15.86 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,X2))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f7])).
% 81.94/15.86 fof(f29,plain,(
% 81.94/15.86 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X0,X1))=X0)),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f10])).
% 81.94/15.86 fof(f30,plain,(
% 81.94/15.86 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X0,X1))=X0)),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f11])).
% 81.94/15.86 fof(f31,plain,(
% 81.94/15.86 ![X0,X1,X2]: (multiply(X0,least_upper_bound(X1,X2))=least_upper_bound(multiply(X0,X1),multiply(X0,X2)))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f12])).
% 81.94/15.86 fof(f33,plain,(
% 81.94/15.86 ![X0,X1,X2]: (multiply(least_upper_bound(X0,X1),X2)=least_upper_bound(multiply(X0,X2),multiply(X1,X2)))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f14])).
% 81.94/15.86 fof(f36,plain,(
% 81.94/15.86 ![X0]: (inverse(inverse(X0))=X0)),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f17])).
% 81.94/15.86 fof(f37,plain,(
% 81.94/15.86 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f18])).
% 81.94/15.86 fof(f38,plain,(
% 81.94/15.86 ~greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity))=identity),
% 81.94/15.86 inference(cnf_transformation,[status(thm)],[f19])).
% 81.94/15.86 fof(f39,definition,(
% 81.94/15.86 sF1_fnc=least_upper_bound(a,identity)),
% 81.94/15.86 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 81.94/15.86 fof(f40,definition,(
% 81.94/15.86 sF3_fnc=inverse(a)),
% 81.94/15.86 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 81.94/15.86 fof(f41,definition,(
% 81.94/15.86 sF2_fnc=least_upper_bound(sF3_fnc,identity)),
% 81.94/15.86 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 81.94/15.86 fof(f42,definition,(
% 81.94/15.86 sF0_fnc=greatest_lower_bound(sF1_fnc,sF2_fnc)),
% 81.94/15.86 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 81.94/15.86 fof(f43,plain,(
% 81.94/15.86 ~sF0_fnc=identity),
% 81.94/15.86 inference(definition_folding,[],[f38,f42,f41,f40,f39])).
% 81.94/15.86 fof(f44,plain,(
% 81.94/15.86 sF2_fnc=least_upper_bound(identity,sF3_fnc)),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f41])).
% 81.94/15.86 fof(f47,plain,(
% 81.94/15.86 inverse(sF3_fnc)=a),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f40,f36])).
% 81.94/15.86 fof(f49,plain,(
% 81.94/15.86 least_upper_bound(sF1_fnc,sF0_fnc)=sF1_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f42,f29])).
% 81.94/15.86 fof(f51,plain,(
% 81.94/15.86 least_upper_bound(sF0_fnc,sF1_fnc)=sF1_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f49])).
% 81.94/15.86 fof(f52,plain,(
% 81.94/15.86 multiply(a,sF3_fnc)=identity),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f47,f21])).
% 81.94/15.86 fof(f53,plain,(
% 81.94/15.86 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f36,f21])).
% 81.94/15.86 fof(f57,plain,(
% 81.94/15.86 greatest_lower_bound(identity,sF2_fnc)=identity),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f44,f30])).
% 81.94/15.86 fof(f58,plain,(
% 81.94/15.86 greatest_lower_bound(a,sF1_fnc)=a),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f39,f30])).
% 81.94/15.86 fof(f68,plain,(
% 81.94/15.86 ![X0,X1]: (least_upper_bound(X0,greatest_lower_bound(X1,X0))=X0)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f23,f29])).
% 81.94/15.86 fof(f74,plain,(
% 81.94/15.86 ![X0,X1]: (greatest_lower_bound(X0,least_upper_bound(X1,X0))=X0)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f24,f30])).
% 81.94/15.86 fof(f85,plain,(
% 81.94/15.86 greatest_lower_bound(sF3_fnc,sF2_fnc)=sF3_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f44,f74])).
% 81.94/15.86 fof(f86,plain,(
% 81.94/15.86 greatest_lower_bound(identity,sF1_fnc)=identity),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f39,f74])).
% 81.94/15.86 fof(f93,plain,(
% 81.94/15.86 greatest_lower_bound(sF2_fnc,sF3_fnc)=sF3_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f23,f85])).
% 81.94/15.86 fof(f95,plain,(
% 81.94/15.86 least_upper_bound(sF2_fnc,sF3_fnc)=sF2_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f93,f29])).
% 81.94/15.86 fof(f102,plain,(
% 81.94/15.86 least_upper_bound(sF1_fnc,a)=sF1_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f58,f68])).
% 81.94/15.86 fof(f104,plain,(
% 81.94/15.86 least_upper_bound(sF2_fnc,identity)=sF2_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f57,f68])).
% 81.94/15.86 fof(f106,plain,(
% 81.94/15.86 least_upper_bound(sF2_fnc,sF0_fnc)=sF2_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f42,f68])).
% 81.94/15.86 fof(f107,plain,(
% 81.94/15.86 ![X0,X1]: (least_upper_bound(least_upper_bound(X0,X1),X1)=least_upper_bound(X0,X1))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f74,f68])).
% 81.94/15.86 fof(f115,plain,(
% 81.94/15.86 least_upper_bound(a,sF1_fnc)=sF1_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f102])).
% 81.94/15.86 fof(f117,plain,(
% 81.94/15.86 least_upper_bound(identity,sF2_fnc)=sF2_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f104])).
% 81.94/15.86 fof(f119,plain,(
% 81.94/15.86 least_upper_bound(sF0_fnc,sF2_fnc)=sF2_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f106])).
% 81.94/15.86 fof(f120,plain,(
% 81.94/15.86 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X1,X0))=least_upper_bound(X1,X0))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f107])).
% 81.94/15.86 fof(f169,plain,(
% 81.94/15.86 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X0,X1))=least_upper_bound(X1,X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f24,f120])).
% 81.94/15.86 fof(f328,plain,(
% 81.94/15.86 ![X0]: (multiply(identity,X0)=multiply(a,multiply(sF3_fnc,X0)))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f52,f22])).
% 81.94/15.86 fof(f331,plain,(
% 81.94/15.86 ![X0,X1]: (multiply(identity,X0)=multiply(X1,multiply(inverse(X1),X0)))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f53,f22])).
% 81.94/15.86 fof(f336,plain,(
% 81.94/15.86 ![X0]: (X0=multiply(a,multiply(sF3_fnc,X0)))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f20,f328])).
% 81.94/15.86 fof(f338,plain,(
% 81.94/15.86 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f20,f331])).
% 81.94/15.86 fof(f350,plain,(
% 81.94/15.86 ![X0]: (greatest_lower_bound(identity,greatest_lower_bound(sF1_fnc,X0))=greatest_lower_bound(identity,X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f86,f25])).
% 81.94/15.86 fof(f371,plain,(
% 81.94/15.86 ![X0,X1,X2]: (least_upper_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X2,X0)))=X0)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f25,f68])).
% 81.94/15.86 fof(f407,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(sF2_fnc,least_upper_bound(sF3_fnc,X0))=least_upper_bound(sF2_fnc,X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f95,f26])).
% 81.94/15.86 fof(f412,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(identity,least_upper_bound(sF3_fnc,X0))=least_upper_bound(sF2_fnc,X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f44,f26])).
% 81.94/15.86 fof(f414,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(a,least_upper_bound(identity,X0))=least_upper_bound(sF1_fnc,X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f39,f26])).
% 81.94/15.86 fof(f586,plain,(
% 81.94/15.86 ![X0]: (X0=multiply(X0,identity))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f21,f338])).
% 81.94/15.86 fof(f955,plain,(
% 81.94/15.86 ![X0]: (inverse(multiply(sF3_fnc,X0))=multiply(inverse(X0),a))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f47,f37])).
% 81.94/15.86 fof(f956,plain,(
% 81.94/15.86 ![X0,X1]: (inverse(multiply(inverse(X0),X1))=multiply(inverse(X1),X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f36,f37])).
% 81.94/15.86 fof(f959,plain,(
% 81.94/15.86 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f37,f338])).
% 81.94/15.86 fof(f983,plain,(
% 81.94/15.86 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X0,X1))=least_upper_bound(identity,multiply(inverse(X0),X1)))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f21,f31])).
% 81.94/15.86 fof(f995,plain,(
% 81.94/15.86 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X1,X0))=least_upper_bound(multiply(inverse(X0),X1),identity))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f21,f31])).
% 81.94/15.86 fof(f1019,plain,(
% 81.94/15.86 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X1,X0))=least_upper_bound(identity,multiply(inverse(X0),X1)))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f995])).
% 81.94/15.86 fof(f1107,plain,(
% 81.94/15.86 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f959,f959])).
% 81.94/15.86 fof(f1147,plain,(
% 81.94/15.86 ![X0,X1]: (inverse(X0)=inverse(multiply(inverse(X1),multiply(X1,X0))))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f37,f1107])).
% 81.94/15.86 fof(f1148,plain,(
% 81.94/15.86 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f956,f1147])).
% 81.94/15.86 fof(f1714,plain,(
% 81.94/15.86 greatest_lower_bound(identity,sF0_fnc)=greatest_lower_bound(identity,sF2_fnc)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f42,f350])).
% 81.94/15.86 fof(f1740,plain,(
% 81.94/15.86 greatest_lower_bound(identity,sF0_fnc)=identity),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f57,f1714])).
% 81.94/15.86 fof(f1792,plain,(
% 81.94/15.86 ![X0,X1]: (multiply(least_upper_bound(X0,identity),X1)=least_upper_bound(multiply(X0,X1),X1))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f20,f33])).
% 81.94/15.86 fof(f1818,plain,(
% 81.94/15.86 ![X0,X1]: (multiply(least_upper_bound(X0,identity),X1)=least_upper_bound(X1,multiply(X0,X1)))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f1792])).
% 81.94/15.86 fof(f2134,plain,(
% 81.94/15.86 least_upper_bound(sF0_fnc,identity)=sF0_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f1740,f68])).
% 81.94/15.86 fof(f2142,plain,(
% 81.94/15.86 least_upper_bound(identity,sF0_fnc)=sF0_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f2134])).
% 81.94/15.86 fof(f2146,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(identity,least_upper_bound(sF0_fnc,X0))=least_upper_bound(sF0_fnc,X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f2142,f26])).
% 81.94/15.86 fof(f2330,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(identity,least_upper_bound(X0,sF3_fnc))=least_upper_bound(sF2_fnc,least_upper_bound(sF3_fnc,X0)))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f169,f412])).
% 81.94/15.86 fof(f2357,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(identity,least_upper_bound(X0,sF3_fnc))=least_upper_bound(sF2_fnc,X0))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f407,f2330])).
% 81.94/15.86 fof(f2612,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(sF0_fnc,greatest_lower_bound(X0,identity))=sF0_fnc)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f1740,f371])).
% 81.94/15.86 fof(f2713,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(sF0_fnc,greatest_lower_bound(identity,X0))=sF0_fnc)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f23,f2612])).
% 81.94/15.86 fof(f4368,plain,(
% 81.94/15.86 least_upper_bound(a,sF0_fnc)=least_upper_bound(sF1_fnc,sF0_fnc)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f2142,f414])).
% 81.94/15.86 fof(f4406,plain,(
% 81.94/15.86 least_upper_bound(a,sF0_fnc)=least_upper_bound(sF0_fnc,sF1_fnc)),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f4368])).
% 81.94/15.86 fof(f4407,plain,(
% 81.94/15.86 least_upper_bound(a,sF0_fnc)=sF1_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f51,f4406])).
% 81.94/15.86 fof(f4460,plain,(
% 81.94/15.86 ![X0]: (least_upper_bound(a,least_upper_bound(sF0_fnc,X0))=least_upper_bound(sF1_fnc,X0))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f4407,f26])).
% 81.94/15.86 fof(f12341,plain,(
% 81.94/15.86 multiply(inverse(a),sF1_fnc)=least_upper_bound(identity,multiply(inverse(a),identity))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f39,f983])).
% 81.94/15.86 fof(f12475,plain,(
% 81.94/15.86 multiply(sF3_fnc,sF1_fnc)=least_upper_bound(identity,multiply(inverse(a),identity))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f40,f12341])).
% 81.94/15.86 fof(f12476,plain,(
% 81.94/15.86 multiply(sF3_fnc,sF1_fnc)=least_upper_bound(identity,inverse(a))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f586,f12475])).
% 81.94/15.86 fof(f12477,plain,(
% 81.94/15.86 multiply(sF3_fnc,sF1_fnc)=least_upper_bound(identity,sF3_fnc)),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f40,f12476])).
% 81.94/15.86 fof(f12480,plain,(
% 81.94/15.86 multiply(sF3_fnc,sF1_fnc)=sF2_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f44,f12477])).
% 81.94/15.86 fof(f12536,plain,(
% 81.94/15.86 sF1_fnc=multiply(a,sF2_fnc)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f12480,f336])).
% 81.94/15.86 fof(f12551,plain,(
% 81.94/15.86 ![X0]: (multiply(sF2_fnc,X0)=multiply(sF3_fnc,multiply(sF1_fnc,X0)))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f12480,f22])).
% 81.94/15.86 fof(f13864,plain,(
% 81.94/15.86 multiply(inverse(sF2_fnc),sF2_fnc)=least_upper_bound(identity,multiply(inverse(sF2_fnc),identity))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f117,f1019])).
% 81.94/15.86 fof(f13994,plain,(
% 81.94/15.86 identity=least_upper_bound(identity,multiply(inverse(sF2_fnc),identity))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f21,f13864])).
% 81.94/15.86 fof(f13995,plain,(
% 81.94/15.86 identity=least_upper_bound(identity,inverse(sF2_fnc))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f586,f13994])).
% 81.94/15.86 fof(f14130,plain,(
% 81.94/15.86 greatest_lower_bound(inverse(sF2_fnc),identity)=inverse(sF2_fnc)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f13995,f74])).
% 81.94/15.86 fof(f14156,plain,(
% 81.94/15.86 greatest_lower_bound(identity,inverse(sF2_fnc))=inverse(sF2_fnc)),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f23,f14130])).
% 81.94/15.86 fof(f14410,plain,(
% 81.94/15.86 least_upper_bound(sF0_fnc,inverse(sF2_fnc))=sF0_fnc),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f14156,f2713])).
% 81.94/15.86 fof(f14450,plain,(
% 81.94/15.86 multiply(inverse(sF0_fnc),sF0_fnc)=least_upper_bound(identity,multiply(inverse(sF0_fnc),inverse(sF2_fnc)))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f14410,f983])).
% 81.94/15.86 fof(f14475,plain,(
% 81.94/15.86 identity=least_upper_bound(identity,multiply(inverse(sF0_fnc),inverse(sF2_fnc)))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f21,f14450])).
% 81.94/15.86 fof(f14476,plain,(
% 81.94/15.86 identity=least_upper_bound(identity,inverse(multiply(sF2_fnc,sF0_fnc)))),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f37,f14475])).
% 81.94/15.86 fof(f19539,plain,(
% 81.94/15.86 least_upper_bound(sF0_fnc,sF3_fnc)=least_upper_bound(sF2_fnc,sF0_fnc)),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f2146,f2357])).
% 81.94/15.86 fof(f19599,plain,(
% 81.94/15.86 least_upper_bound(sF0_fnc,sF3_fnc)=least_upper_bound(sF0_fnc,sF2_fnc)),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f24,f19539])).
% 81.94/15.86 fof(f19600,plain,(
% 81.94/15.86 least_upper_bound(sF0_fnc,sF3_fnc)=sF2_fnc),
% 81.94/15.86 inference(forward_demodulation,[status(thm)],[f119,f19599])).
% 81.94/15.86 fof(f19696,plain,(
% 81.94/15.86 multiply(inverse(sF3_fnc),sF2_fnc)=least_upper_bound(identity,multiply(inverse(sF3_fnc),sF0_fnc))),
% 81.94/15.86 inference(paramodulation,[status(thm)],[f19600,f1019])).
% 81.94/15.86 fof(f19725,plain,(
% 81.94/15.86 multiply(a,sF2_fnc)=least_upper_bound(identity,multiply(inverse(sF3_fnc),sF0_fnc))),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f47,f19696])).
% 75.50/16.00 fof(f19726,plain,(
% 75.50/16.00 sF1_fnc=least_upper_bound(identity,multiply(inverse(sF3_fnc),sF0_fnc))),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f12536,f19725])).
% 75.50/16.00 fof(f19727,plain,(
% 75.50/16.00 sF1_fnc=least_upper_bound(identity,multiply(a,sF0_fnc))),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f47,f19726])).
% 75.50/16.00 fof(f19755,plain,(
% 75.50/16.00 least_upper_bound(a,sF1_fnc)=least_upper_bound(sF1_fnc,multiply(a,sF0_fnc))),
% 75.50/16.00 inference(paramodulation,[status(thm)],[f19727,f414])).
% 75.50/16.00 fof(f19780,plain,(
% 75.50/16.00 sF1_fnc=least_upper_bound(sF1_fnc,multiply(a,sF0_fnc))),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f115,f19755])).
% 75.50/16.00 fof(f35259,plain,(
% 75.50/16.00 ![X0]: (multiply(sF1_fnc,X0)=least_upper_bound(X0,multiply(a,X0)))),
% 75.50/16.00 inference(paramodulation,[status(thm)],[f39,f1818])).
% 75.50/16.00 fof(f49212,plain,(
% 75.50/16.00 least_upper_bound(a,multiply(sF1_fnc,sF0_fnc))=least_upper_bound(sF1_fnc,multiply(a,sF0_fnc))),
% 75.50/16.00 inference(paramodulation,[status(thm)],[f35259,f4460])).
% 75.50/16.00 fof(f49336,plain,(
% 75.50/16.00 least_upper_bound(a,multiply(sF1_fnc,sF0_fnc))=sF1_fnc),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f19780,f49212])).
% 75.50/16.00 fof(f49467,plain,(
% 75.50/16.00 multiply(inverse(multiply(sF1_fnc,sF0_fnc)),sF1_fnc)=least_upper_bound(identity,multiply(inverse(multiply(sF1_fnc,sF0_fnc)),a))),
% 75.50/16.00 inference(paramodulation,[status(thm)],[f49336,f1019])).
% 75.50/16.00 fof(f49510,plain,(
% 75.50/16.00 inverse(sF0_fnc)=least_upper_bound(identity,multiply(inverse(multiply(sF1_fnc,sF0_fnc)),a))),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f1148,f49467])).
% 75.50/16.00 fof(f49511,plain,(
% 75.50/16.00 inverse(sF0_fnc)=least_upper_bound(identity,inverse(multiply(sF3_fnc,multiply(sF1_fnc,sF0_fnc))))),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f955,f49510])).
% 75.50/16.00 fof(f49512,plain,(
% 75.50/16.00 inverse(sF0_fnc)=least_upper_bound(identity,inverse(multiply(sF2_fnc,sF0_fnc)))),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f12551,f49511])).
% 75.50/16.00 fof(f49693,plain,(
% 75.50/16.00 inverse(sF0_fnc)=identity),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f14476,f49512])).
% 75.50/16.00 fof(f50000,plain,(
% 75.50/16.00 multiply(sF0_fnc,identity)=identity),
% 75.50/16.00 inference(paramodulation,[status(thm)],[f49693,f53])).
% 75.50/16.00 fof(f50913,plain,(
% 75.50/16.00 sF0_fnc=identity),
% 75.50/16.00 inference(forward_demodulation,[status(thm)],[f586,f50000])).
% 75.50/16.00 fof(f50914,plain,(
% 75.50/16.00 $false),
% 75.50/16.00 inference(forward_subsumption_resolution,[status(thm)],[f50913,f43])).
% 75.50/16.00 % SZS output end CNFRefutation for theBenchmark.p
% 75.50/16.05 % Elapsed time: 10.596013 seconds
% 75.50/16.05 % CPU time: 83.495982 seconds
% 75.50/16.05 % Total memory used: 653.179 MB
% 75.50/16.05 % Net memory used: 642.764 MB
%------------------------------------------------------------------------------