%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 1.28s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:06:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 1.28/0.68 % Refutation found
% 1.28/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.28/0.68 % SZS output start CNFRefutation for theBenchmark
% 1.28/0.68 fof(f1,axiom,(
% 1.28/0.68 (![X]: (join(complement(X),X) = n1 ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f2,axiom,(
% 1.28/0.68 (![X]: (meet(complement(X),X) = n0 ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f3,axiom,(
% 1.28/0.68 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f4,axiom,(
% 1.28/0.68 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f5,axiom,(
% 1.28/0.68 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f7,axiom,(
% 1.28/0.68 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f8,axiom,(
% 1.28/0.68 (![X]: (complement(complement(X)) = X ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f9,axiom,(
% 1.28/0.68 (![X,Y]: (join(X,join(Y,complement(Y))) = join(Y,complement(Y)) ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f10,axiom,(
% 1.28/0.68 (![X,Y]: (meet(X,Y) = complement(join(complement(X),complement(Y))) ))),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f11,negated_conjecture,(
% 1.28/0.68 join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)) != n1 ),
% 1.28/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.68 fof(f12,plain,(
% 1.28/0.68 ![X0]: (join(complement(X0),X0)=n1)),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f1])).
% 1.28/0.68 fof(f13,plain,(
% 1.28/0.68 ![X0]: (meet(complement(X0),X0)=n0)),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f2])).
% 1.28/0.68 fof(f14,plain,(
% 1.28/0.68 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f3])).
% 1.28/0.68 fof(f15,plain,(
% 1.28/0.68 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f4])).
% 1.28/0.68 fof(f16,plain,(
% 1.28/0.68 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f5])).
% 1.28/0.68 fof(f18,plain,(
% 1.28/0.68 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f7])).
% 1.28/0.68 fof(f19,plain,(
% 1.28/0.68 ![X0]: (complement(complement(X0))=X0)),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f8])).
% 1.28/0.68 fof(f20,plain,(
% 1.28/0.68 ![X0,X1]: (join(X0,join(X1,complement(X1)))=join(X1,complement(X1)))),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f9])).
% 1.28/0.68 fof(f21,plain,(
% 1.28/0.68 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f10])).
% 1.28/0.68 fof(f22,plain,(
% 1.28/0.68 ~join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b))=n1),
% 1.28/0.68 inference(cnf_transformation,[status(thm)],[f11])).
% 1.28/0.68 fof(f23,definition,(
% 1.28/0.68 sF5_fnc=complement(a)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 1.28/0.68 fof(f24,definition,(
% 1.28/0.68 sF4_fnc=meet(sF5_fnc,b)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 1.28/0.68 fof(f25,definition,(
% 1.28/0.68 sF7_fnc=complement(b)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 1.28/0.68 fof(f26,definition,(
% 1.28/0.68 sF6_fnc=meet(sF5_fnc,sF7_fnc)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 1.28/0.68 fof(f27,definition,(
% 1.28/0.68 sF3_fnc=join(sF4_fnc,sF6_fnc)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 1.28/0.68 fof(f28,definition,(
% 1.28/0.68 sF9_fnc=join(sF5_fnc,b)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition])).
% 1.28/0.68 fof(f29,definition,(
% 1.28/0.68 sF8_fnc=meet(a,sF9_fnc)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 1.28/0.68 fof(f30,definition,(
% 1.28/0.68 sF2_fnc=join(sF3_fnc,sF8_fnc)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 1.28/0.68 fof(f31,definition,(
% 1.28/0.68 sF1_fnc=complement(sF2_fnc)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 1.28/0.68 fof(f32,definition,(
% 1.28/0.68 sF10_fnc=join(sF5_fnc,b)),
% 1.28/0.68 introduced(definition,[new_symbols(definition,[sF10_fnc])],[function_definition])).
% 1.28/0.69 fof(f33,definition,(
% 1.28/0.69 sF0_fnc=join(sF1_fnc,sF10_fnc)),
% 1.28/0.69 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 1.28/0.69 fof(f34,plain,(
% 1.28/0.69 ~sF0_fnc=n1),
% 1.28/0.69 inference(definition_folding,[],[f22,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23])).
% 1.28/0.69 fof(f35,plain,(
% 1.28/0.69 sF10_fnc=sF9_fnc),
% 1.28/0.69 inference(forward_demodulation,[status(thm)],[f28,f32])).
% 1.28/0.69 fof(f36,plain,(
% 1.28/0.69 sF0_fnc=join(sF1_fnc,sF9_fnc)),
% 1.28/0.69 inference(forward_demodulation,[status(thm)],[f35,f33])).
% 1.28/0.69 fof(f40,plain,(
% 1.28/0.69 complement(sF1_fnc)=sF2_fnc),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f31,f19])).
% 1.28/0.69 fof(f44,plain,(
% 1.28/0.69 ![X0]: (join(X0,complement(X0))=n1)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f19,f12])).
% 1.28/0.69 fof(f45,plain,(
% 1.28/0.69 ![X0,X1]: (join(X0,join(X1,complement(X1)))=n1)),
% 1.28/0.69 inference(backward_demodulation,[status(thm)],[f44,f20])).
% 1.28/0.69 fof(f46,plain,(
% 1.28/0.69 ![X0]: (join(X0,n1)=n1)),
% 1.28/0.69 inference(forward_demodulation,[status(thm)],[f44,f45])).
% 1.28/0.69 fof(f51,plain,(
% 1.28/0.69 join(sF2_fnc,sF1_fnc)=n1),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f40,f12])).
% 1.28/0.69 fof(f62,plain,(
% 1.28/0.69 ![X0]: (meet(X0,complement(X0))=n0)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f19,f13])).
% 1.28/0.69 fof(f65,plain,(
% 1.28/0.69 sF4_fnc=meet(b,sF5_fnc)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f24,f15])).
% 1.28/0.69 fof(f74,plain,(
% 1.28/0.69 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f15,f14])).
% 1.28/0.69 fof(f78,plain,(
% 1.28/0.69 join(sF5_fnc,sF6_fnc)=sF5_fnc),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f26,f14])).
% 1.28/0.69 fof(f83,plain,(
% 1.28/0.69 sF9_fnc=join(b,sF5_fnc)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f28,f16])).
% 1.28/0.69 fof(f85,plain,(
% 1.28/0.69 ![X0]: (n1=join(n1,X0))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f46,f16])).
% 1.28/0.69 fof(f164,plain,(
% 1.28/0.69 ![X0]: (join(n1,X0)=join(sF2_fnc,join(sF1_fnc,X0)))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f51,f18])).
% 1.28/0.69 fof(f165,plain,(
% 1.28/0.69 ![X0]: (join(sF9_fnc,X0)=join(b,join(sF5_fnc,X0)))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f83,f18])).
% 1.28/0.69 fof(f171,plain,(
% 1.28/0.69 ![X0]: (join(sF0_fnc,X0)=join(sF1_fnc,join(sF9_fnc,X0)))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f36,f18])).
% 1.28/0.69 fof(f172,plain,(
% 1.28/0.69 ![X0]: (join(sF2_fnc,X0)=join(sF3_fnc,join(sF8_fnc,X0)))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f30,f18])).
% 1.28/0.69 fof(f176,plain,(
% 1.28/0.69 ![X0]: (join(sF9_fnc,X0)=join(sF5_fnc,join(b,X0)))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f28,f18])).
% 1.28/0.69 fof(f178,plain,(
% 1.28/0.69 ![X0]: (join(sF3_fnc,X0)=join(sF4_fnc,join(sF6_fnc,X0)))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f27,f18])).
% 1.28/0.69 fof(f192,plain,(
% 1.28/0.69 ![X0]: (n1=join(sF2_fnc,join(sF1_fnc,X0)))),
% 1.28/0.69 inference(forward_demodulation,[status(thm)],[f85,f164])).
% 1.28/0.69 fof(f224,plain,(
% 1.28/0.69 ![X0]: (meet(complement(X0),X0)=complement(n1))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f12,f21])).
% 1.28/0.69 fof(f234,plain,(
% 1.28/0.69 ![X0,X1]: (meet(complement(X0),X1)=complement(join(X0,complement(X1))))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f19,f21])).
% 1.28/0.69 fof(f246,plain,(
% 1.28/0.69 n0=complement(n1)),
% 1.28/0.69 inference(forward_demodulation,[status(thm)],[f13,f224])).
% 1.28/0.69 fof(f270,plain,(
% 1.28/0.69 complement(n0)=n1),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f246,f19])).
% 1.28/0.69 fof(f294,plain,(
% 1.28/0.69 join(b,sF4_fnc)=b),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f65,f14])).
% 1.28/0.69 fof(f317,plain,(
% 1.28/0.69 ![X0]: (join(X0,n0)=X0)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f62,f14])).
% 1.28/0.69 fof(f338,plain,(
% 1.28/0.69 join(sF9_fnc,sF8_fnc)=sF9_fnc),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f29,f74])).
% 1.28/0.69 fof(f353,plain,(
% 1.28/0.69 ![X0]: (join(n0,X0)=X0)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f16,f317])).
% 1.28/0.69 fof(f431,plain,(
% 1.28/0.69 join(sF8_fnc,sF9_fnc)=sF9_fnc),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f16,f338])).
% 1.28/0.69 fof(f587,plain,(
% 1.28/0.69 n1=join(sF2_fnc,sF0_fnc)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f36,f192])).
% 1.28/0.69 fof(f621,plain,(
% 1.28/0.69 n1=join(sF0_fnc,sF2_fnc)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f16,f587])).
% 1.28/0.69 fof(f628,plain,(
% 1.28/0.69 ![X0]: (join(n1,X0)=join(sF0_fnc,join(sF2_fnc,X0)))),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f621,f18])).
% 1.28/0.69 fof(f629,plain,(
% 1.28/0.69 ![X0]: (n1=join(sF0_fnc,join(sF2_fnc,X0)))),
% 1.28/0.69 inference(forward_demodulation,[status(thm)],[f85,f628])).
% 1.28/0.69 fof(f2519,plain,(
% 1.28/0.69 join(sF2_fnc,sF9_fnc)=join(sF3_fnc,sF9_fnc)),
% 1.28/0.69 inference(paramodulation,[status(thm)],[f431,f172])).
% 2.26/0.70 fof(f2725,plain,(
% 2.26/0.70 join(sF9_fnc,sF4_fnc)=join(sF5_fnc,b)),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f294,f176])).
% 2.26/0.70 fof(f2754,plain,(
% 2.26/0.70 join(sF9_fnc,sF4_fnc)=sF9_fnc),
% 2.26/0.70 inference(forward_demodulation,[status(thm)],[f28,f2725])).
% 2.26/0.70 fof(f2777,plain,(
% 2.26/0.70 join(sF4_fnc,sF9_fnc)=sF9_fnc),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f16,f2754])).
% 2.26/0.70 fof(f3833,plain,(
% 2.26/0.70 ![X0]: (meet(complement(n0),X0)=complement(complement(X0)))),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f353,f234])).
% 2.26/0.70 fof(f3871,plain,(
% 2.26/0.70 ![X0]: (meet(n1,X0)=complement(complement(X0)))),
% 2.26/0.70 inference(forward_demodulation,[status(thm)],[f270,f3833])).
% 2.26/0.70 fof(f3872,plain,(
% 2.26/0.70 ![X0]: (meet(n1,X0)=X0)),
% 2.26/0.70 inference(forward_demodulation,[status(thm)],[f19,f3871])).
% 2.26/0.70 fof(f3961,plain,(
% 2.26/0.70 ![X0]: (join(X0,X0)=X0)),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f3872,f74])).
% 2.26/0.70 fof(f3996,plain,(
% 2.26/0.70 join(sF0_fnc,sF9_fnc)=join(sF1_fnc,sF9_fnc)),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f3961,f171])).
% 2.26/0.70 fof(f4032,plain,(
% 2.26/0.70 join(sF0_fnc,sF9_fnc)=sF0_fnc),
% 2.26/0.70 inference(forward_demodulation,[status(thm)],[f36,f3996])).
% 2.26/0.70 fof(f5037,plain,(
% 2.26/0.70 join(sF9_fnc,sF6_fnc)=join(b,sF5_fnc)),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f78,f165])).
% 2.26/0.70 fof(f5074,plain,(
% 2.26/0.70 join(sF9_fnc,sF6_fnc)=sF9_fnc),
% 2.26/0.70 inference(forward_demodulation,[status(thm)],[f83,f5037])).
% 2.26/0.70 fof(f5104,plain,(
% 2.26/0.70 join(sF6_fnc,sF9_fnc)=sF9_fnc),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f16,f5074])).
% 2.26/0.70 fof(f5120,plain,(
% 2.26/0.70 join(sF3_fnc,sF9_fnc)=join(sF4_fnc,sF9_fnc)),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f5104,f178])).
% 2.26/0.70 fof(f5127,plain,(
% 2.26/0.70 join(sF2_fnc,sF9_fnc)=join(sF4_fnc,sF9_fnc)),
% 2.26/0.70 inference(forward_demodulation,[status(thm)],[f2519,f5120])).
% 2.26/0.70 fof(f5129,plain,(
% 2.26/0.70 join(sF2_fnc,sF9_fnc)=sF9_fnc),
% 2.26/0.70 inference(forward_demodulation,[status(thm)],[f2777,f5127])).
% 2.26/0.70 fof(f5149,plain,(
% 2.26/0.70 n1=join(sF0_fnc,sF9_fnc)),
% 2.26/0.70 inference(paramodulation,[status(thm)],[f5129,f629])).
% 2.26/0.70 fof(f5157,plain,(
% 2.26/0.70 n1=sF0_fnc),
% 2.26/0.70 inference(backward_demodulation,[status(thm)],[f5149,f4032])).
% 2.26/0.70 fof(f5162,plain,(
% 2.26/0.70 $false),
% 2.26/0.70 inference(forward_subsumption_resolution,[status(thm)],[f5157,f34])).
% 2.26/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 2.26/0.71 % Elapsed time: 0.339276 seconds
% 2.26/0.71 % CPU time: 2.527524 seconds
% 2.26/0.71 % Total memory used: 43.741 MB
% 2.26/0.71 % Net memory used: 42.603 MB
%------------------------------------------------------------------------------