%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:03:10 PM UTC 2026
% Result : Unsatisfiable 1.07s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:07:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 1.07/1.01 % Refutation found
% 1.07/1.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.07/1.01 % SZS output start CNFRefutation for theBenchmark
% 1.07/1.01 fof(f4,axiom,(
% 1.07/1.01 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 1.07/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.07/1.01 fof(f6,axiom,(
% 1.07/1.01 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 1.07/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.07/1.01 fof(f9,hypothesis,(
% 1.07/1.01 (![X,Y,Z]: (join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)) ))),
% 1.07/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.07/1.01 fof(f11,axiom,(
% 1.07/1.01 (![U,V,W]: (f(join(U,V),W) = join(f(U,W),f(V,W)) ))),
% 1.07/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.07/1.01 fof(f15,hypothesis,(
% 1.07/1.01 f(join(aa,bb),dd) = f(join(cc,bb),dd) ),
% 1.07/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.07/1.01 fof(f16,hypothesis,(
% 1.07/1.01 meet(f(aa,dd),f(bb,dd)) = meet(f(cc,dd),f(bb,dd)) ),
% 1.07/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.07/1.01 fof(f17,negated_conjecture,(
% 1.07/1.01 f(aa,dd) != f(cc,dd) ),
% 1.07/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.07/1.01 fof(f21,plain,(
% 1.07/1.01 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 1.07/1.01 inference(cnf_transformation,[status(thm)],[f4])).
% 1.07/1.01 fof(f23,plain,(
% 1.07/1.01 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 1.07/1.01 inference(cnf_transformation,[status(thm)],[f6])).
% 1.07/1.01 fof(f26,plain,(
% 1.07/1.01 ![X0,X1,X2]: (join(X0,meet(X1,X2))=meet(join(X0,X1),join(X0,X2)))),
% 1.07/1.01 inference(cnf_transformation,[status(thm)],[f9])).
% 1.07/1.01 fof(f28,plain,(
% 1.07/1.01 ![X0,X1,X2]: (f(join(X0,X1),X2)=join(f(X0,X2),f(X1,X2)))),
% 1.07/1.01 inference(cnf_transformation,[status(thm)],[f11])).
% 1.07/1.01 fof(f32,plain,(
% 1.07/1.01 f(join(aa,bb),dd)=f(join(cc,bb),dd)),
% 1.07/1.01 inference(cnf_transformation,[status(thm)],[f15])).
% 1.07/1.01 fof(f33,plain,(
% 1.07/1.01 meet(f(aa,dd),f(bb,dd))=meet(f(cc,dd),f(bb,dd))),
% 1.07/1.01 inference(cnf_transformation,[status(thm)],[f16])).
% 1.07/1.01 fof(f34,plain,(
% 1.07/1.01 ~f(aa,dd)=f(cc,dd)),
% 1.07/1.01 inference(cnf_transformation,[status(thm)],[f17])).
% 1.07/1.01 fof(f35,definition,(
% 1.07/1.01 sF0_fnc=f(aa,dd)),
% 1.07/1.01 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 1.07/1.01 fof(f36,definition,(
% 1.07/1.01 sF1_fnc=f(cc,dd)),
% 1.07/1.01 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 1.07/1.01 fof(f37,plain,(
% 1.07/1.01 ~sF0_fnc=sF1_fnc),
% 1.07/1.01 inference(definition_folding,[],[f34,f36,f35])).
% 1.07/1.01 fof(f38,plain,(
% 1.07/1.01 meet(sF0_fnc,f(bb,dd))=meet(f(cc,dd),f(bb,dd))),
% 1.07/1.01 inference(backward_demodulation,[status(thm)],[f35,f33])).
% 1.07/1.01 fof(f39,plain,(
% 1.07/1.01 meet(sF0_fnc,f(bb,dd))=meet(sF1_fnc,f(bb,dd))),
% 1.07/1.01 inference(forward_demodulation,[status(thm)],[f36,f38])).
% 1.07/1.01 fof(f40,plain,(
% 1.07/1.01 ![X0]: (f(join(cc,X0),dd)=join(sF1_fnc,f(X0,dd)))),
% 1.07/1.01 inference(paramodulation,[status(thm)],[f36,f28])).
% 1.07/1.01 fof(f41,plain,(
% 1.07/1.01 ![X0]: (f(join(aa,X0),dd)=join(sF0_fnc,f(X0,dd)))),
% 1.07/1.01 inference(paramodulation,[status(thm)],[f35,f28])).
% 1.07/1.01 fof(f44,plain,(
% 1.07/1.01 f(join(aa,bb),dd)=join(sF1_fnc,f(bb,dd))),
% 1.07/1.01 inference(backward_demodulation,[status(thm)],[f40,f32])).
% 1.07/1.01 fof(f45,plain,(
% 1.07/1.01 join(sF0_fnc,f(bb,dd))=join(sF1_fnc,f(bb,dd))),
% 1.07/1.01 inference(forward_demodulation,[status(thm)],[f41,f44])).
% 1.07/1.01 fof(f69,plain,(
% 1.07/1.01 join(sF1_fnc,meet(sF0_fnc,f(bb,dd)))=sF1_fnc),
% 1.07/1.01 inference(paramodulation,[status(thm)],[f39,f21])).
% 1.07/1.01 fof(f245,plain,(
% 1.07/1.01 ![X0,X1,X2]: (join(X0,meet(X1,X2))=meet(join(X1,X0),join(X0,X2)))),
% 1.07/1.01 inference(paramodulation,[status(thm)],[f23,f26])).
% 1.07/1.01 fof(f249,plain,(
% 1.07/1.01 ![X0]: (join(sF1_fnc,meet(X0,f(bb,dd)))=meet(join(sF1_fnc,X0),join(sF0_fnc,f(bb,dd))))),
% 1.07/1.01 inference(paramodulation,[status(thm)],[f45,f26])).
% 1.07/1.01 fof(f5192,plain,(
% 1.07/1.01 join(sF1_fnc,meet(sF0_fnc,f(bb,dd)))=join(sF0_fnc,meet(sF1_fnc,f(bb,dd)))),
% 1.07/1.01 inference(paramodulation,[status(thm)],[f245,f249])).
% 1.07/1.01 fof(f5322,plain,(
% 1.07/1.01 sF1_fnc=join(sF0_fnc,meet(sF1_fnc,f(bb,dd)))),
% 1.07/1.01 inference(forward_demodulation,[status(thm)],[f69,f5192])).
% 1.07/1.01 fof(f5323,plain,(
% 1.07/1.01 sF1_fnc=join(sF0_fnc,meet(sF0_fnc,f(bb,dd)))),
% 1.07/1.01 inference(forward_demodulation,[status(thm)],[f39,f5322])).
% 1.07/1.01 fof(f5324,plain,(
% 1.07/1.01 sF1_fnc=sF0_fnc),
% 1.07/1.01 inference(forward_demodulation,[status(thm)],[f21,f5323])).
% 1.07/1.01 fof(f5325,plain,(
% 1.07/1.01 $false),
% 1.07/1.01 inference(forward_subsumption_resolution,[status(thm)],[f5324,f37])).
% 1.07/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 1.07/1.02 % Elapsed time: 0.650165 seconds
% 1.07/1.02 % CPU time: 4.954718 seconds
% 1.07/1.02 % Total memory used: 75.431 MB
% 1.07/1.02 % Net memory used: 73.885 MB
%------------------------------------------------------------------------------