%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP171-1 : 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 : n001.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 12:36:10 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP171-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 20 20:08:57 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.54 % Refutation found
% 0.15/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.54 fof(f1,axiom,(
% 0.15/0.54 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f5,axiom,(
% 0.15/0.54 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f7,axiom,(
% 0.15/0.54 (![X,Y,Z]: (least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ))),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f14,axiom,(
% 0.15/0.54 (![Y,Z,X]: (multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ))),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f16,hypothesis,(
% 0.15/0.54 least_upper_bound(identity,a) = a ),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f17,hypothesis,(
% 0.15/0.54 least_upper_bound(identity,b) = b ),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f18,negated_conjecture,(
% 0.15/0.54 least_upper_bound(identity,multiply(a,b)) != multiply(a,b) ),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f19,plain,(
% 0.15/0.54 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.54 fof(f23,plain,(
% 0.15/0.54 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.54 fof(f25,plain,(
% 0.15/0.54 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,X2))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.54 fof(f32,plain,(
% 0.15/0.54 ![X0,X1,X2]: (multiply(least_upper_bound(X0,X1),X2)=least_upper_bound(multiply(X0,X2),multiply(X1,X2)))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.54 fof(f34,plain,(
% 0.15/0.54 least_upper_bound(identity,a)=a),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.54 fof(f35,plain,(
% 0.15/0.54 least_upper_bound(identity,b)=b),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.54 fof(f36,plain,(
% 0.15/0.54 ~least_upper_bound(identity,multiply(a,b))=multiply(a,b)),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.54 fof(f37,definition,(
% 0.15/0.54 sF1_fnc=multiply(a,b)),
% 0.15/0.54 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.15/0.54 fof(f38,definition,(
% 0.15/0.54 sF0_fnc=least_upper_bound(identity,sF1_fnc)),
% 0.15/0.54 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.15/0.54 fof(f39,plain,(
% 0.15/0.54 ~sF0_fnc=sF1_fnc),
% 0.15/0.54 inference(definition_folding,[],[f36,f38,f37])).
% 0.15/0.54 fof(f46,plain,(
% 0.15/0.54 a=least_upper_bound(a,identity)),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f34,f23])).
% 0.15/0.54 fof(f86,plain,(
% 0.15/0.54 ![X0]: (least_upper_bound(identity,least_upper_bound(b,X0))=least_upper_bound(b,X0))),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f35,f25])).
% 0.15/0.54 fof(f179,plain,(
% 0.15/0.54 ![X0]: (multiply(least_upper_bound(a,X0),b)=least_upper_bound(sF1_fnc,multiply(X0,b)))),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f37,f32])).
% 0.15/0.54 fof(f942,plain,(
% 0.15/0.54 multiply(a,b)=least_upper_bound(sF1_fnc,multiply(identity,b))),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f46,f179])).
% 0.15/0.54 fof(f961,plain,(
% 0.15/0.54 sF1_fnc=least_upper_bound(sF1_fnc,multiply(identity,b))),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f37,f942])).
% 0.15/0.54 fof(f962,plain,(
% 0.15/0.54 sF1_fnc=least_upper_bound(sF1_fnc,b)),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f19,f961])).
% 0.15/0.54 fof(f976,plain,(
% 0.15/0.54 sF1_fnc=least_upper_bound(b,sF1_fnc)),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f23,f962])).
% 0.15/0.54 fof(f1023,plain,(
% 0.15/0.54 least_upper_bound(identity,sF1_fnc)=least_upper_bound(b,sF1_fnc)),
% 0.15/0.54 inference(paramodulation,[status(thm)],[f976,f86])).
% 0.15/0.54 fof(f1045,plain,(
% 0.15/0.54 sF1_fnc=sF0_fnc),
% 0.15/0.54 inference(backward_demodulation,[status(thm)],[f1046,f976])).
% 0.15/0.54 fof(f1046,plain,(
% 0.15/0.54 sF0_fnc=least_upper_bound(b,sF1_fnc)),
% 0.15/0.54 inference(forward_demodulation,[status(thm)],[f38,f1023])).
% 0.15/0.54 fof(f1063,plain,(
% 0.15/0.54 $false),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1045,f39])).
% 0.15/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.57 % Elapsed time: 0.129983 seconds
% 0.15/0.57 % CPU time: 0.703858 seconds
% 0.15/0.57 % Total memory used: 17.245 MB
% 0.15/0.57 % Net memory used: 17.099 MB
%------------------------------------------------------------------------------