%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT146-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:03:17 PM UTC 2026
% Result : Unsatisfiable 168.05s 26.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT146-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.45 % Computer : n007.cluster.edu
% 0.19/5.45 % Model : x86_64 x86_64
% 0.19/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45 % Memory : 8046.5625MB
% 0.19/5.45 % OS : Linux 6.8.0-71-generic
% 0.19/5.45 % CPULimit : 300
% 0.19/5.45 % WCLimit : 300
% 0.19/5.45 % DateTime : Sun Sep 20 23:13:40 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.47 % Drodi V4.1.1
% 168.05/26.76 % Refutation found
% 168.05/26.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 168.05/26.76 % SZS output start CNFRefutation for theBenchmark
% 168.05/26.76 fof(f1,axiom,(
% 168.05/26.76 (![X]: (meet(X,X) = X ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f2,axiom,(
% 168.05/26.76 (![X]: (join(X,X) = X ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f3,axiom,(
% 168.05/26.76 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f4,axiom,(
% 168.05/26.76 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f5,axiom,(
% 168.05/26.76 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f6,axiom,(
% 168.05/26.76 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f7,axiom,(
% 168.05/26.76 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f8,axiom,(
% 168.05/26.76 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f9,axiom,(
% 168.05/26.76 (![X,Y,Z,U]: (meet(X,join(Y,meet(Z,U))) = meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z)))))) ))),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f10,negated_conjecture,(
% 168.05/26.76 meet(a,join(b,meet(a,meet(c,d)))) != meet(a,join(b,meet(c,meet(d,join(a,meet(b,d)))))) ),
% 168.05/26.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 168.05/26.76 fof(f11,plain,(
% 168.05/26.76 ![X0]: (meet(X0,X0)=X0)),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f1])).
% 168.05/26.76 fof(f12,plain,(
% 168.05/26.76 ![X0]: (join(X0,X0)=X0)),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f2])).
% 168.05/26.76 fof(f13,plain,(
% 168.05/26.76 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f3])).
% 168.05/26.76 fof(f14,plain,(
% 168.05/26.76 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f4])).
% 168.05/26.76 fof(f15,plain,(
% 168.05/26.76 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f5])).
% 168.05/26.76 fof(f16,plain,(
% 168.05/26.76 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f6])).
% 168.05/26.76 fof(f17,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f7])).
% 168.05/26.76 fof(f18,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f8])).
% 168.05/26.76 fof(f19,plain,(
% 168.05/26.76 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,X3)))=meet(X0,join(X1,meet(X2,join(X1,meet(X3,join(X1,X2)))))))),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f9])).
% 168.05/26.76 fof(f20,plain,(
% 168.05/26.76 ~meet(a,join(b,meet(a,meet(c,d))))=meet(a,join(b,meet(c,meet(d,join(a,meet(b,d))))))),
% 168.05/26.76 inference(cnf_transformation,[status(thm)],[f10])).
% 168.05/26.76 fof(f21,definition,(
% 168.05/26.76 sF3_fnc=meet(c,d)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 168.05/26.76 fof(f22,definition,(
% 168.05/26.76 sF2_fnc=meet(a,sF3_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 168.05/26.76 fof(f23,definition,(
% 168.05/26.76 sF1_fnc=join(b,sF2_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 168.05/26.76 fof(f24,definition,(
% 168.05/26.76 sF0_fnc=meet(a,sF1_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 168.05/26.76 fof(f25,definition,(
% 168.05/26.76 sF9_fnc=meet(b,d)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition])).
% 168.05/26.76 fof(f26,definition,(
% 168.05/26.76 sF8_fnc=join(a,sF9_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 168.05/26.76 fof(f27,definition,(
% 168.05/26.76 sF7_fnc=meet(d,sF8_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 168.05/26.76 fof(f28,definition,(
% 168.05/26.76 sF6_fnc=meet(c,sF7_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 168.05/26.76 fof(f29,definition,(
% 168.05/26.76 sF5_fnc=join(b,sF6_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 168.05/26.76 fof(f30,definition,(
% 168.05/26.76 sF4_fnc=meet(a,sF5_fnc)),
% 168.05/26.76 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 168.05/26.76 fof(f31,plain,(
% 168.05/26.76 ~sF0_fnc=sF4_fnc),
% 168.05/26.76 inference(definition_folding,[],[f20,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21])).
% 168.05/26.76 fof(f32,plain,(
% 168.05/26.76 meet(a,sF8_fnc)=a),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f26,f13])).
% 168.05/26.76 fof(f39,plain,(
% 168.05/26.76 join(b,sF9_fnc)=b),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f25,f14])).
% 168.05/26.76 fof(f54,plain,(
% 168.05/26.76 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f15,f14])).
% 168.05/26.76 fof(f60,plain,(
% 168.05/26.76 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f16,f13])).
% 168.05/26.76 fof(f73,plain,(
% 168.05/26.76 join(sF8_fnc,a)=sF8_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f32,f54])).
% 168.05/26.76 fof(f75,plain,(
% 168.05/26.76 join(sF1_fnc,sF0_fnc)=sF1_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f24,f54])).
% 168.05/26.76 fof(f102,plain,(
% 168.05/26.76 join(a,sF8_fnc)=sF8_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f16,f73])).
% 168.05/26.76 fof(f129,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(meet(X0,X1),X2))))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f13,f17])).
% 168.05/26.76 fof(f130,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f15,f17])).
% 168.05/26.76 fof(f134,plain,(
% 168.05/26.76 ![X0]: (meet(sF7_fnc,X0)=meet(d,meet(sF8_fnc,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f27,f17])).
% 168.05/26.76 fof(f139,plain,(
% 168.05/26.76 ![X0]: (meet(sF4_fnc,X0)=meet(a,meet(sF5_fnc,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f30,f17])).
% 168.05/26.76 fof(f142,plain,(
% 168.05/26.76 ![X0]: (meet(sF6_fnc,X0)=meet(c,meet(sF7_fnc,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f28,f17])).
% 168.05/26.76 fof(f143,plain,(
% 168.05/26.76 ![X0]: (meet(sF3_fnc,X0)=meet(c,meet(d,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f21,f17])).
% 168.05/26.76 fof(f144,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(join(X0,X2),X1)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f13,f17])).
% 168.05/26.76 fof(f147,plain,(
% 168.05/26.76 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f11,f17])).
% 168.05/26.76 fof(f157,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(X0,X1)=join(X0,join(X1,meet(join(X0,X1),X2))))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f14,f18])).
% 168.05/26.76 fof(f158,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f16,f18])).
% 168.05/26.76 fof(f179,plain,(
% 168.05/26.76 ![X0]: (join(sF8_fnc,X0)=join(a,join(sF9_fnc,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f26,f18])).
% 168.05/26.76 fof(f182,plain,(
% 168.05/26.76 ![X0]: (join(sF1_fnc,X0)=join(b,join(sF2_fnc,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f23,f18])).
% 168.05/26.76 fof(f185,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X1,join(X0,X2)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f16,f18])).
% 168.05/26.76 fof(f200,plain,(
% 168.05/26.76 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,X3)))=meet(join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))),X0))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f15,f19])).
% 168.05/26.76 fof(f202,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(join(X0,meet(X1,join(X0,meet(X2,join(X0,X1))))),join(X0,meet(X1,X2)))=join(X0,meet(X1,join(X0,meet(X2,join(X0,X1))))))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f11,f19])).
% 168.05/26.76 fof(f252,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(join(X0,meet(X1,X2)),join(X0,meet(X1,X2)))=join(X0,meet(X1,join(X0,meet(X2,join(X0,X1))))))),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f200,f202])).
% 168.05/26.76 fof(f255,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(X0,meet(X1,X2))=join(X0,meet(X1,join(X0,meet(X2,join(X0,X1))))))),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f11,f252])).
% 168.05/26.76 fof(f382,plain,(
% 168.05/26.76 meet(a,sF3_fnc)=meet(a,sF2_fnc)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f22,f147])).
% 168.05/26.76 fof(f412,plain,(
% 168.05/26.76 sF2_fnc=meet(a,sF2_fnc)),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f22,f382])).
% 168.05/26.76 fof(f448,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f18,f60])).
% 168.05/26.76 fof(f535,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(meet(X0,join(meet(X1,X0),X2)),meet(X1,X0))=meet(X0,join(meet(X1,X0),X2)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f129,f54])).
% 168.05/26.76 fof(f840,plain,(
% 168.05/26.76 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f11,f130])).
% 168.05/26.76 fof(f1406,plain,(
% 168.05/26.76 ![X0,X1,X2,X3]: (meet(X0,X1)=meet(X1,meet(join(X2,join(X3,X1)),X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f448,f130])).
% 168.05/26.76 fof(f1407,plain,(
% 168.05/26.76 ![X0,X1,X2,X3]: (meet(X0,join(X1,join(X2,X0)))=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f448,f129])).
% 168.05/26.76 fof(f1420,plain,(
% 168.05/26.76 ![X0,X1,X2,X3]: (X0=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f448,f1407])).
% 168.05/26.76 fof(f1424,plain,(
% 168.05/26.76 ![X0,X1]: (X0=meet(join(X0,X1),X0))),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f1406,f1420])).
% 168.05/26.76 fof(f1456,plain,(
% 168.05/26.76 a=meet(sF8_fnc,a)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f102,f1424])).
% 168.05/26.76 fof(f1470,plain,(
% 168.05/26.76 ![X0,X1]: (X0=meet(join(X1,X0),X0))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f16,f1424])).
% 168.05/26.76 fof(f1712,plain,(
% 168.05/26.76 meet(sF7_fnc,a)=meet(d,a)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f1456,f134])).
% 168.05/26.76 fof(f1908,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(X0,X2))))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f15,f144])).
% 168.05/26.76 fof(f2310,plain,(
% 168.05/26.76 ![X0,X1,X2]: (X0=meet(join(X1,join(X2,X0)),X0))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f18,f1470])).
% 168.05/26.76 fof(f2358,plain,(
% 168.05/26.76 ![X0,X1,X2]: (meet(X0,X1)=meet(join(X2,X1),meet(X1,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f1470,f130])).
% 168.05/26.76 fof(f2443,plain,(
% 168.05/26.76 meet(sF3_fnc,a)=meet(a,sF2_fnc)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f22,f840])).
% 168.05/26.76 fof(f2576,plain,(
% 168.05/26.76 meet(sF3_fnc,a)=sF2_fnc),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f412,f2443])).
% 168.05/26.76 fof(f3590,plain,(
% 168.05/26.76 ![X0]: (sF0_fnc=meet(join(X0,sF1_fnc),sF0_fnc))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f75,f2310])).
% 168.05/26.76 fof(f4006,plain,(
% 168.05/26.76 meet(sF6_fnc,a)=meet(c,meet(d,a))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f1712,f142])).
% 168.05/26.76 fof(f4021,plain,(
% 168.05/26.76 meet(sF6_fnc,a)=meet(sF3_fnc,a)),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f143,f4006])).
% 168.05/26.76 fof(f4022,plain,(
% 168.05/26.76 meet(sF6_fnc,a)=sF2_fnc),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f2576,f4021])).
% 168.05/26.76 fof(f4035,plain,(
% 168.05/26.76 meet(a,sF6_fnc)=sF2_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f15,f4022])).
% 168.05/26.76 fof(f4049,plain,(
% 168.05/26.76 join(sF6_fnc,sF2_fnc)=sF6_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f4022,f14])).
% 168.05/26.76 fof(f4192,plain,(
% 168.05/26.76 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f12,f158])).
% 168.05/26.76 fof(f4856,plain,(
% 168.05/26.76 join(sF2_fnc,sF6_fnc)=sF6_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f16,f4049])).
% 168.05/26.76 fof(f5283,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(X0,X1)=join(meet(X0,X2),join(X0,X1)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f14,f185])).
% 168.05/26.76 fof(f5380,plain,(
% 168.05/26.76 join(sF1_fnc,sF6_fnc)=join(b,sF6_fnc)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f4856,f182])).
% 168.05/26.76 fof(f5397,plain,(
% 168.05/26.76 join(sF1_fnc,sF6_fnc)=sF5_fnc),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f29,f5380])).
% 168.05/26.76 fof(f5410,plain,(
% 168.05/26.76 sF1_fnc=meet(sF5_fnc,sF1_fnc)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f5397,f1424])).
% 168.05/26.76 fof(f5423,plain,(
% 168.05/26.76 meet(sF4_fnc,sF1_fnc)=meet(a,sF1_fnc)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f5410,f139])).
% 168.05/26.76 fof(f5438,plain,(
% 168.05/26.76 meet(sF4_fnc,sF1_fnc)=sF0_fnc),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f24,f5423])).
% 168.05/26.76 fof(f5443,plain,(
% 168.05/26.76 meet(sF1_fnc,sF4_fnc)=sF0_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f15,f5438])).
% 168.05/26.76 fof(f5491,plain,(
% 168.05/26.76 ![X0]: (meet(X0,sF0_fnc)=meet(sF1_fnc,meet(sF4_fnc,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f5443,f130])).
% 168.05/26.76 fof(f7372,plain,(
% 168.05/26.76 ![X0,X1]: (join(meet(join(X0,X0),X1),X0)=join(X0,X0))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f157,f4192])).
% 168.05/26.76 fof(f7443,plain,(
% 168.05/26.76 join(sF9_fnc,b)=join(b,b)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f39,f4192])).
% 168.05/26.76 fof(f7500,plain,(
% 168.05/26.76 ![X0,X1]: (join(meet(X0,X1),X0)=join(X0,X0))),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f12,f7372])).
% 168.05/26.76 fof(f7509,plain,(
% 168.05/26.76 ![X0,X1]: (join(meet(X0,X1),X0)=X0)),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f12,f7500])).
% 168.05/26.76 fof(f7582,plain,(
% 168.05/26.76 join(sF9_fnc,b)=b),
% 168.05/26.76 inference(forward_demodulation,[status(thm)],[f12,f7443])).
% 168.05/26.76 fof(f9377,plain,(
% 168.05/26.76 join(sF8_fnc,b)=join(a,b)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f7582,f179])).
% 168.05/26.76 fof(f9558,plain,(
% 168.05/26.76 ![X0,X1,X2]: (join(X0,X1)=join(meet(X1,X2),join(X1,X0)))),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f7509,f158])).
% 168.05/26.76 fof(f13055,plain,(
% 168.05/26.76 meet(sF8_fnc,join(a,b))=sF8_fnc),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f9377,f13])).
% 168.05/26.76 fof(f15480,plain,(
% 168.05/26.76 meet(sF7_fnc,join(a,b))=meet(d,sF8_fnc)),
% 168.05/26.76 inference(paramodulation,[status(thm)],[f13055,f134])).
% 168.05/26.87 fof(f15503,plain,(
% 168.05/26.87 meet(sF7_fnc,join(a,b))=sF7_fnc),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f27,f15480])).
% 168.05/26.87 fof(f17908,plain,(
% 168.05/26.87 meet(sF6_fnc,join(a,b))=meet(c,sF7_fnc)),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f15503,f142])).
% 168.05/26.87 fof(f17934,plain,(
% 168.05/26.87 meet(sF6_fnc,join(a,b))=sF6_fnc),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f28,f17908])).
% 168.05/26.87 fof(f18002,plain,(
% 168.05/26.87 meet(join(a,b),sF6_fnc)=meet(sF6_fnc,sF6_fnc)),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f17934,f840])).
% 168.05/26.87 fof(f18020,plain,(
% 168.05/26.87 meet(join(a,b),sF6_fnc)=sF6_fnc),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f11,f18002])).
% 168.05/26.87 fof(f27941,plain,(
% 168.05/26.87 ![X0,X1,X2]: (join(meet(X0,join(X1,X2)),meet(X1,X0))=meet(X0,join(X1,X2)))),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f1908,f54])).
% 168.05/26.87 fof(f49461,plain,(
% 168.05/26.87 ![X0,X1,X2]: (join(meet(X0,join(X1,X2)),meet(X1,X0))=meet(X0,join(meet(X1,X0),join(X1,X2))))),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f5283,f535])).
% 168.05/26.87 fof(f50061,plain,(
% 168.05/26.87 ![X0,X1,X2]: (meet(X0,join(X1,X2))=meet(X0,join(meet(X1,X0),join(X1,X2))))),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f27941,f49461])).
% 168.05/26.87 fof(f50062,plain,(
% 168.05/26.87 ![X0,X1,X2]: (meet(X0,join(X1,X2))=meet(X0,join(X2,X1)))),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f9558,f50061])).
% 168.05/26.87 fof(f69571,plain,(
% 168.05/26.87 ![X0,X1,X2]: (meet(join(X0,X1),X2)=meet(X2,join(X1,X0)))),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f15,f50062])).
% 168.05/26.87 fof(f72801,plain,(
% 168.05/26.87 sF6_fnc=meet(sF6_fnc,join(b,a))),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f18020,f69571])).
% 168.05/26.87 fof(f74211,plain,(
% 168.05/26.87 join(b,meet(a,sF6_fnc))=join(b,meet(a,join(b,sF6_fnc)))),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f72801,f255])).
% 168.05/26.87 fof(f74282,plain,(
% 168.05/26.87 join(b,sF2_fnc)=join(b,meet(a,join(b,sF6_fnc)))),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f4035,f74211])).
% 168.05/26.87 fof(f74283,plain,(
% 168.05/26.87 sF1_fnc=join(b,meet(a,join(b,sF6_fnc)))),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f23,f74282])).
% 168.05/26.87 fof(f74284,plain,(
% 168.05/26.87 sF1_fnc=join(b,meet(a,sF5_fnc))),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f29,f74283])).
% 168.05/26.87 fof(f74328,plain,(
% 168.05/26.87 sF1_fnc=join(b,sF4_fnc)),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f30,f74284])).
% 168.05/26.87 fof(f74532,plain,(
% 168.05/26.87 ![X0]: (meet(X0,sF4_fnc)=meet(sF1_fnc,meet(sF4_fnc,X0)))),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f74328,f2358])).
% 168.05/26.87 fof(f74558,plain,(
% 168.05/26.87 ![X0]: (sF4_fnc=meet(join(X0,sF1_fnc),sF4_fnc))),
% 168.05/26.87 inference(paramodulation,[status(thm)],[f74328,f2310])).
% 168.05/26.87 fof(f74860,plain,(
% 168.05/26.87 ![X0]: (meet(X0,sF4_fnc)=meet(X0,sF0_fnc))),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f5491,f74532])).
% 168.05/26.87 fof(f74895,plain,(
% 168.05/26.87 ![X0]: (sF4_fnc=meet(join(X0,sF1_fnc),sF0_fnc))),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f74860,f74558])).
% 168.05/26.87 fof(f74896,plain,(
% 168.05/26.87 sF4_fnc=sF0_fnc),
% 168.05/26.87 inference(forward_demodulation,[status(thm)],[f3590,f74895])).
% 168.05/26.87 fof(f74897,plain,(
% 168.05/26.87 $false),
% 168.05/26.87 inference(forward_subsumption_resolution,[status(thm)],[f74896,f31])).
% 168.05/26.87 % SZS output end CNFRefutation for theBenchmark.p
% 27.11/26.89 % Elapsed time: 21.418417 seconds
% 27.11/26.89 % CPU time: 169.310116 seconds
% 27.11/26.89 % Total memory used: 536.468 MB
% 27.11/26.89 % Net memory used: 522.717 MB
%------------------------------------------------------------------------------