%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:03:09 PM UTC 2026
% Result : Unsatisfiable 5.75s 6.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 23:09:34 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 5.75/6.15 % Refutation found
% 5.75/6.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.75/6.15 % SZS output start CNFRefutation for theBenchmark
% 5.75/6.15 fof(f2,axiom,(
% 5.75/6.15 (![X]: (join(X,X) = X ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f3,axiom,(
% 5.75/6.15 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f4,axiom,(
% 5.75/6.15 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f5,axiom,(
% 5.75/6.15 (![X,Y,Z]: (meet(meet(join(X,Y),join(Z,Y)),Y) = Y ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f6,axiom,(
% 5.75/6.15 (![X,Y,Z]: (join(join(meet(X,Y),meet(Z,Y)),Y) = Y ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f7,axiom,(
% 5.75/6.15 (![X]: (meet2(X,X) = X ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f8,axiom,(
% 5.75/6.15 (![X,Y]: (meet2(X,Y) = meet2(Y,X) ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f9,axiom,(
% 5.75/6.15 (![X,Y,Z]: (meet2(meet2(join(X,Y),join(Z,Y)),Y) = Y ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f10,axiom,(
% 5.75/6.15 (![X,Y,Z]: (join(join(meet2(X,Y),meet2(Z,Y)),Y) = Y ))),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f11,negated_conjecture,(
% 5.75/6.15 meet(a,b) != meet2(a,b) ),
% 5.75/6.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.75/6.15 fof(f13,plain,(
% 5.75/6.15 ![X0]: (join(X0,X0)=X0)),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f2])).
% 5.75/6.15 fof(f14,plain,(
% 5.75/6.15 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f3])).
% 5.75/6.15 fof(f15,plain,(
% 5.75/6.15 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f4])).
% 5.75/6.15 fof(f16,plain,(
% 5.75/6.15 ![X0,X1,X2]: (meet(meet(join(X0,X1),join(X2,X1)),X1)=X1)),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f5])).
% 5.75/6.15 fof(f17,plain,(
% 5.75/6.15 ![X0,X1,X2]: (join(join(meet(X0,X1),meet(X2,X1)),X1)=X1)),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f6])).
% 5.75/6.15 fof(f18,plain,(
% 5.75/6.15 ![X0]: (meet2(X0,X0)=X0)),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f7])).
% 5.75/6.15 fof(f19,plain,(
% 5.75/6.15 ![X0,X1]: (meet2(X0,X1)=meet2(X1,X0))),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f8])).
% 5.75/6.15 fof(f20,plain,(
% 5.75/6.15 ![X0,X1,X2]: (meet2(meet2(join(X0,X1),join(X2,X1)),X1)=X1)),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f9])).
% 5.75/6.15 fof(f21,plain,(
% 5.75/6.15 ![X0,X1,X2]: (join(join(meet2(X0,X1),meet2(X2,X1)),X1)=X1)),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f10])).
% 5.75/6.15 fof(f22,plain,(
% 5.75/6.15 ~meet(a,b)=meet2(a,b)),
% 5.75/6.15 inference(cnf_transformation,[status(thm)],[f11])).
% 5.75/6.15 fof(f23,definition,(
% 5.75/6.15 sF0_fnc=meet(a,b)),
% 5.75/6.15 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 5.75/6.15 fof(f24,definition,(
% 5.75/6.15 sF1_fnc=meet2(a,b)),
% 5.75/6.15 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 5.75/6.15 fof(f25,plain,(
% 5.75/6.15 ~sF0_fnc=sF1_fnc),
% 5.75/6.15 inference(definition_folding,[],[f22,f24,f23])).
% 5.75/6.15 fof(f30,plain,(
% 5.75/6.15 ![X0,X1,X2]: (meet(X0,meet(join(X1,X0),join(X2,X0)))=X0)),
% 5.75/6.15 inference(forward_demodulation,[status(thm)],[f14,f16])).
% 5.75/6.15 fof(f126,plain,(
% 5.75/6.15 ![X0,X1,X2]: (meet2(X0,meet2(join(X1,X0),join(X2,X0)))=X0)),
% 5.75/6.15 inference(forward_demodulation,[status(thm)],[f19,f20])).
% 5.75/6.15 fof(f129,plain,(
% 5.75/6.15 ![X0,X1]: (meet2(X0,join(X1,X0))=X0)),
% 5.75/6.15 inference(paramodulation,[status(thm)],[f18,f126])).
% 5.75/6.15 fof(f174,plain,(
% 5.75/6.15 ![X0,X1]: (join(meet2(X0,X1),X1)=X1)),
% 5.75/6.15 inference(paramodulation,[status(thm)],[f13,f21])).
% 5.75/6.15 fof(f175,plain,(
% 5.75/6.15 ![X0,X1]: (join(meet(X0,X1),X1)=X1)),
% 5.75/6.15 inference(paramodulation,[status(thm)],[f13,f17])).
% 5.75/6.15 fof(f213,plain,(
% 5.75/6.15 ![X0,X1]: (join(X0,meet2(X1,X0))=X0)),
% 5.75/6.15 inference(forward_demodulation,[status(thm)],[f15,f174])).
% 5.75/6.15 fof(f214,plain,(
% 5.75/6.15 join(b,sF1_fnc)=b),
% 5.75/6.15 inference(paramodulation,[status(thm)],[f24,f213])).
% 5.75/6.15 fof(f217,plain,(
% 5.75/6.15 ![X0,X1]: (join(X0,meet2(X0,X1))=X0)),
% 5.75/6.15 inference(paramodulation,[status(thm)],[f19,f213])).
% 5.75/6.15 fof(f232,plain,(
% 5.75/6.15 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 5.75/6.15 inference(forward_demodulation,[status(thm)],[f15,f175])).
% 5.75/6.15 fof(f233,plain,(
% 5.75/6.15 join(b,sF0_fnc)=b),
% 5.75/6.15 inference(paramodulation,[status(thm)],[f23,f232])).
% 5.75/6.15 fof(f236,plain,(
% 5.75/6.15 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 5.75/6.15 inference(paramodulation,[status(thm)],[f14,f232])).
% 5.75/6.17 fof(f239,plain,(
% 5.75/6.17 ![X0,X1]: (meet2(meet(X0,X1),X1)=meet(X0,X1))),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f232,f129])).
% 5.75/6.17 fof(f247,plain,(
% 5.75/6.17 ![X0,X1]: (meet2(X0,meet(X1,X0))=meet(X1,X0))),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f19,f239])).
% 5.75/6.17 fof(f277,plain,(
% 5.75/6.17 ![X0]: (meet(sF1_fnc,meet(join(X0,sF1_fnc),b))=sF1_fnc)),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f214,f30])).
% 5.75/6.17 fof(f282,plain,(
% 5.75/6.17 ![X0]: (meet(sF1_fnc,meet(b,join(X0,sF1_fnc)))=sF1_fnc)),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f14,f277])).
% 5.75/6.17 fof(f284,plain,(
% 5.75/6.17 join(a,sF1_fnc)=a),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f24,f217])).
% 5.75/6.17 fof(f307,plain,(
% 5.75/6.17 ![X0]: (meet2(sF0_fnc,meet2(join(X0,sF0_fnc),b))=sF0_fnc)),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f233,f126])).
% 5.75/6.17 fof(f313,plain,(
% 5.75/6.17 ![X0]: (meet2(sF0_fnc,meet2(b,join(X0,sF0_fnc)))=sF0_fnc)),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f19,f307])).
% 5.75/6.17 fof(f317,plain,(
% 5.75/6.17 join(a,sF0_fnc)=a),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f23,f236])).
% 5.75/6.17 fof(f1047,plain,(
% 5.75/6.17 ![X0,X1]: (meet2(X0,meet(X0,X1))=meet(X1,X0))),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f14,f247])).
% 5.75/6.17 fof(f3051,plain,(
% 5.75/6.17 meet(sF1_fnc,meet(b,a))=sF1_fnc),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f284,f282])).
% 5.75/6.17 fof(f3073,plain,(
% 5.75/6.17 meet(sF1_fnc,meet(a,b))=sF1_fnc),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f14,f3051])).
% 5.75/6.17 fof(f3074,plain,(
% 5.75/6.17 meet(sF1_fnc,sF0_fnc)=sF1_fnc),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f23,f3073])).
% 5.75/6.17 fof(f3075,plain,(
% 5.75/6.17 meet(sF0_fnc,sF1_fnc)=sF1_fnc),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f14,f3074])).
% 5.75/6.17 fof(f3100,plain,(
% 5.75/6.17 meet2(sF0_fnc,sF1_fnc)=meet(sF1_fnc,sF0_fnc)),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f3075,f1047])).
% 5.75/6.17 fof(f3119,plain,(
% 5.75/6.17 meet2(sF0_fnc,sF1_fnc)=meet(sF0_fnc,sF1_fnc)),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f14,f3100])).
% 5.75/6.17 fof(f3120,plain,(
% 5.75/6.17 meet2(sF0_fnc,sF1_fnc)=sF1_fnc),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f3075,f3119])).
% 5.75/6.17 fof(f5377,plain,(
% 5.75/6.17 meet2(sF0_fnc,meet2(b,a))=sF0_fnc),
% 5.75/6.17 inference(paramodulation,[status(thm)],[f317,f313])).
% 5.75/6.17 fof(f5406,plain,(
% 5.75/6.17 meet2(sF0_fnc,meet2(a,b))=sF0_fnc),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f19,f5377])).
% 5.75/6.17 fof(f5407,plain,(
% 5.75/6.17 meet2(sF0_fnc,sF1_fnc)=sF0_fnc),
% 5.75/6.17 inference(forward_demodulation,[status(thm)],[f24,f5406])).
% 5.75/6.17 fof(f5445,plain,(
% 5.75/6.17 sF0_fnc=sF1_fnc),
% 5.75/6.17 inference(backward_demodulation,[status(thm)],[f5407,f3120])).
% 5.75/6.17 fof(f5469,plain,(
% 5.75/6.17 $false),
% 5.75/6.17 inference(forward_subsumption_resolution,[status(thm)],[f5445,f25])).
% 5.75/6.17 % SZS output end CNFRefutation for theBenchmark.p
% 5.75/6.19 % Elapsed time: 0.796865 seconds
% 5.75/6.19 % CPU time: 6.218318 seconds
% 5.75/6.19 % Total memory used: 116.133 MB
% 5.75/6.19 % Net memory used: 113.660 MB
%------------------------------------------------------------------------------