%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 01:03:08 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:06:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,axiom,(
% 0.09/0.39 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,axiom,(
% 0.09/0.39 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,axiom,(
% 0.09/0.39 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,axiom,(
% 0.09/0.39 (![X,Y]: (meet2(X,Y) = meet2(Y,X) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,axiom,(
% 0.09/0.39 (![X,Y]: (meet2(X,join(X,Y)) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f12,axiom,(
% 0.09/0.39 (![X,Y]: (join(X,meet2(X,Y)) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,axiom,(
% 0.09/0.39 (![X,Y,Z]: (meet2(meet2(X,Y),Z) = meet2(X,meet2(Y,Z)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f14,negated_conjecture,(
% 0.09/0.39 meet(a,b) != meet2(a,b) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f18,plain,(
% 0.09/0.39 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f21,plain,(
% 0.09/0.39 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.39 fof(f24,plain,(
% 0.09/0.39 ![X0,X1]: (meet2(X0,X1)=meet2(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 ![X0,X1]: (meet2(X0,join(X0,X1))=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 ![X0,X1]: (join(X0,meet2(X0,X1))=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f27,plain,(
% 0.09/0.39 ![X0,X1,X2]: (meet2(meet2(X0,X1),X2)=meet2(X0,meet2(X1,X2)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ~meet(a,b)=meet2(a,b)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.39 fof(f29,definition,(
% 0.09/0.39 sF0_fnc=meet(a,b)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.39 fof(f30,definition,(
% 0.09/0.39 sF1_fnc=meet2(a,b)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 ~sF0_fnc=sF1_fnc),
% 0.09/0.39 inference(definition_folding,[],[f28,f30,f29])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 join(a,sF0_fnc)=a),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f29,f18])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 join(a,sF1_fnc)=a),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f30,f26])).
% 0.09/0.39 fof(f50,plain,(
% 0.09/0.39 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f19,f18])).
% 0.09/0.39 fof(f53,plain,(
% 0.09/0.39 join(b,sF0_fnc)=b),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f29,f50])).
% 0.09/0.39 fof(f68,plain,(
% 0.09/0.39 ![X0,X1]: (join(X0,meet2(X1,X0))=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f24,f26])).
% 0.09/0.39 fof(f71,plain,(
% 0.09/0.39 join(b,sF1_fnc)=b),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f30,f68])).
% 0.09/0.39 fof(f135,plain,(
% 0.09/0.39 ![X0]: (meet(sF0_fnc,X0)=meet(a,meet(b,X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f29,f21])).
% 0.09/0.39 fof(f153,plain,(
% 0.09/0.39 ![X0]: (meet2(sF1_fnc,X0)=meet2(a,meet2(b,X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f30,f27])).
% 0.09/0.39 fof(f482,plain,(
% 0.09/0.39 ![X0,X1]: (meet2(X0,join(X1,X0))=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f20,f25])).
% 0.09/0.39 fof(f483,plain,(
% 0.09/0.39 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f20,f17])).
% 0.09/0.39 fof(f852,plain,(
% 0.09/0.39 meet2(sF0_fnc,b)=sF0_fnc),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f53,f482])).
% 0.09/0.39 fof(f858,plain,(
% 0.09/0.39 meet2(sF0_fnc,a)=sF0_fnc),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f32,f482])).
% 0.09/0.39 fof(f890,plain,(
% 0.09/0.40 meet2(b,sF0_fnc)=sF0_fnc),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f24,f852])).
% 0.09/0.40 fof(f898,plain,(
% 0.09/0.40 meet2(a,sF0_fnc)=sF0_fnc),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f24,f858])).
% 0.09/0.40 fof(f920,plain,(
% 0.09/0.40 meet2(sF1_fnc,sF0_fnc)=meet2(a,sF0_fnc)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f890,f153])).
% 0.09/0.40 fof(f927,plain,(
% 0.09/0.40 meet2(sF0_fnc,sF1_fnc)=meet2(a,sF0_fnc)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f24,f920])).
% 0.09/0.40 fof(f928,plain,(
% 0.09/0.40 meet2(sF0_fnc,sF1_fnc)=sF0_fnc),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f898,f927])).
% 0.09/0.40 fof(f937,plain,(
% 0.09/0.40 join(sF1_fnc,sF0_fnc)=sF1_fnc),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f928,f68])).
% 0.09/0.40 fof(f940,plain,(
% 0.09/0.40 join(sF0_fnc,sF1_fnc)=sF1_fnc),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f20,f937])).
% 0.09/0.40 fof(f945,plain,(
% 0.09/0.40 meet(sF0_fnc,sF1_fnc)=sF0_fnc),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f940,f17])).
% 0.09/0.40 fof(f970,plain,(
% 0.09/0.40 meet(sF1_fnc,b)=sF1_fnc),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f71,f483])).
% 0.09/0.40 fof(f976,plain,(
% 0.09/0.40 meet(sF1_fnc,a)=sF1_fnc),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f39,f483])).
% 0.09/0.40 fof(f1009,plain,(
% 0.09/0.40 meet(b,sF1_fnc)=sF1_fnc),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f19,f970])).
% 0.09/0.40 fof(f1017,plain,(
% 0.09/0.40 meet(a,sF1_fnc)=sF1_fnc),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f19,f976])).
% 0.09/0.40 fof(f1046,plain,(
% 0.09/0.40 meet(sF0_fnc,sF1_fnc)=meet(a,sF1_fnc)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f1009,f135])).
% 0.09/0.40 fof(f1055,plain,(
% 0.09/0.40 sF0_fnc=sF1_fnc),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f1056,f1017])).
% 0.09/0.40 fof(f1056,plain,(
% 0.09/0.40 sF0_fnc=meet(a,sF1_fnc)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f945,f1046])).
% 0.09/0.40 fof(f1061,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1055,f31])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.057073 seconds
% 0.09/0.42 % CPU time: 0.197349 seconds
% 0.09/0.42 % Total memory used: 6.004 MB
% 0.09/0.42 % Net memory used: 5.922 MB
%------------------------------------------------------------------------------