%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT147-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 191.89s 24.86s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT147-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n002.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Sun Sep 20 23:18:19 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 191.89/24.86 % Refutation found
% 191.89/24.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 191.89/24.86 % SZS output start CNFRefutation for theBenchmark
% 191.89/24.86 fof(f1,axiom,(
% 191.89/24.86 (![X]: (meet(X,X) = X ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.86 fof(f2,axiom,(
% 191.89/24.86 (![X]: (join(X,X) = X ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.86 fof(f3,axiom,(
% 191.89/24.86 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.86 fof(f4,axiom,(
% 191.89/24.86 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.86 fof(f5,axiom,(
% 191.89/24.86 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.86 fof(f6,axiom,(
% 191.89/24.86 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.86 fof(f7,axiom,(
% 191.89/24.86 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.86 fof(f8,axiom,(
% 191.89/24.86 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 191.89/24.86 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.87 fof(f9,axiom,(
% 191.89/24.87 (![X,Y,Z,U]: (meet(X,join(Y,meet(Z,U))) = meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z)))))) ))),
% 191.89/24.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.87 fof(f10,negated_conjecture,(
% 191.89/24.87 meet(a,meet(b,join(c,meet(a,d)))) != meet(a,meet(b,join(c,meet(d,join(a,meet(b,c)))))) ),
% 191.89/24.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 191.89/24.87 fof(f11,plain,(
% 191.89/24.87 ![X0]: (meet(X0,X0)=X0)),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f1])).
% 191.89/24.87 fof(f12,plain,(
% 191.89/24.87 ![X0]: (join(X0,X0)=X0)),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f2])).
% 191.89/24.87 fof(f13,plain,(
% 191.89/24.87 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f3])).
% 191.89/24.87 fof(f14,plain,(
% 191.89/24.87 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f4])).
% 191.89/24.87 fof(f15,plain,(
% 191.89/24.87 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f5])).
% 191.89/24.87 fof(f16,plain,(
% 191.89/24.87 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f6])).
% 191.89/24.87 fof(f17,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f7])).
% 191.89/24.87 fof(f18,plain,(
% 191.89/24.87 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f8])).
% 191.89/24.87 fof(f19,plain,(
% 191.89/24.87 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,X3)))=meet(X0,join(X1,meet(X2,join(X1,meet(X3,join(X1,X2)))))))),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f9])).
% 191.89/24.87 fof(f20,plain,(
% 191.89/24.87 ~meet(a,meet(b,join(c,meet(a,d))))=meet(a,meet(b,join(c,meet(d,join(a,meet(b,c))))))),
% 191.89/24.87 inference(cnf_transformation,[status(thm)],[f10])).
% 191.89/24.87 fof(f21,definition,(
% 191.89/24.87 sF3_fnc=meet(a,d)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 191.89/24.87 fof(f22,definition,(
% 191.89/24.87 sF2_fnc=join(c,sF3_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 191.89/24.87 fof(f23,definition,(
% 191.89/24.87 sF1_fnc=meet(b,sF2_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 191.89/24.87 fof(f24,definition,(
% 191.89/24.87 sF0_fnc=meet(a,sF1_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 191.89/24.87 fof(f25,definition,(
% 191.89/24.87 sF9_fnc=meet(b,c)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition])).
% 191.89/24.87 fof(f26,definition,(
% 191.89/24.87 sF8_fnc=join(a,sF9_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 191.89/24.87 fof(f27,definition,(
% 191.89/24.87 sF7_fnc=meet(d,sF8_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 191.89/24.87 fof(f28,definition,(
% 191.89/24.87 sF6_fnc=join(c,sF7_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 191.89/24.87 fof(f29,definition,(
% 191.89/24.87 sF5_fnc=meet(b,sF6_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 191.89/24.87 fof(f30,definition,(
% 191.89/24.87 sF4_fnc=meet(a,sF5_fnc)),
% 191.89/24.87 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 191.89/24.87 fof(f31,plain,(
% 191.89/24.87 ~sF0_fnc=sF4_fnc),
% 191.89/24.87 inference(definition_folding,[],[f20,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21])).
% 191.89/24.87 fof(f32,plain,(
% 191.89/24.87 meet(a,sF8_fnc)=a),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f26,f13])).
% 191.89/24.87 fof(f33,plain,(
% 191.89/24.87 meet(c,sF6_fnc)=c),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f28,f13])).
% 191.89/24.87 fof(f34,plain,(
% 191.89/24.87 meet(c,sF2_fnc)=c),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f22,f13])).
% 191.89/24.87 fof(f54,plain,(
% 191.89/24.87 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f15,f14])).
% 191.89/24.87 fof(f60,plain,(
% 191.89/24.87 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f13])).
% 191.89/24.87 fof(f70,plain,(
% 191.89/24.87 join(sF6_fnc,c)=sF6_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f33,f54])).
% 191.89/24.87 fof(f71,plain,(
% 191.89/24.87 join(sF8_fnc,sF7_fnc)=sF8_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f27,f54])).
% 191.89/24.87 fof(f73,plain,(
% 191.89/24.87 join(c,sF9_fnc)=c),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f25,f54])).
% 191.89/24.87 fof(f74,plain,(
% 191.89/24.87 join(sF2_fnc,sF1_fnc)=sF2_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f23,f54])).
% 191.89/24.87 fof(f75,plain,(
% 191.89/24.87 join(sF8_fnc,a)=sF8_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f32,f54])).
% 191.89/24.87 fof(f79,plain,(
% 191.89/24.87 ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f13,f54])).
% 191.89/24.87 fof(f85,plain,(
% 191.89/24.87 ![X0,X1]: (join(X0,join(X1,X0))=join(X0,X1))),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f18,f79])).
% 191.89/24.87 fof(f96,plain,(
% 191.89/24.87 join(sF7_fnc,sF8_fnc)=sF8_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f71])).
% 191.89/24.87 fof(f107,plain,(
% 191.89/24.87 join(sF1_fnc,sF2_fnc)=sF2_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f74])).
% 191.89/24.87 fof(f112,plain,(
% 191.89/24.87 join(a,sF8_fnc)=sF8_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f75])).
% 191.89/24.87 fof(f129,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(meet(X0,X1),X2))))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f13,f17])).
% 191.89/24.87 fof(f130,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f15,f17])).
% 191.89/24.87 fof(f136,plain,(
% 191.89/24.87 ![X0]: (meet(sF7_fnc,X0)=meet(d,meet(sF8_fnc,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f27,f17])).
% 191.89/24.87 fof(f138,plain,(
% 191.89/24.87 ![X0]: (meet(sF9_fnc,X0)=meet(b,meet(c,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f25,f17])).
% 191.89/24.87 fof(f139,plain,(
% 191.89/24.87 ![X0]: (meet(sF1_fnc,X0)=meet(b,meet(sF2_fnc,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f23,f17])).
% 191.89/24.87 fof(f143,plain,(
% 191.89/24.87 ![X0]: (meet(sF3_fnc,X0)=meet(a,meet(d,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f21,f17])).
% 191.89/24.87 fof(f147,plain,(
% 191.89/24.87 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f11,f17])).
% 191.89/24.87 fof(f158,plain,(
% 191.89/24.87 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f18])).
% 191.89/24.87 fof(f178,plain,(
% 191.89/24.87 ![X0]: (join(sF8_fnc,X0)=join(a,join(sF9_fnc,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f26,f18])).
% 191.89/24.87 fof(f181,plain,(
% 191.89/24.87 ![X0]: (join(sF6_fnc,X0)=join(c,join(sF7_fnc,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f28,f18])).
% 191.89/24.87 fof(f182,plain,(
% 191.89/24.87 ![X0]: (join(sF2_fnc,X0)=join(c,join(sF3_fnc,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f22,f18])).
% 191.89/24.87 fof(f185,plain,(
% 191.89/24.87 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X1,join(X0,X2)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f18])).
% 191.89/24.87 fof(f187,plain,(
% 191.89/24.87 ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f12,f18])).
% 191.89/24.87 fof(f192,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(join(X0,X1),join(X0,join(X1,X2)))=join(X0,X1))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f18,f13])).
% 191.89/24.87 fof(f200,plain,(
% 191.89/24.87 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,X3)))=meet(join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))),X0))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f15,f19])).
% 191.89/24.87 fof(f202,plain,(
% 191.89/24.87 ![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))))))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f11,f19])).
% 191.89/24.87 fof(f252,plain,(
% 191.89/24.87 ![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))))))),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f200,f202])).
% 191.89/24.87 fof(f255,plain,(
% 191.89/24.87 ![X0,X1,X2]: (join(X0,meet(X1,X2))=join(X0,meet(X1,join(X0,meet(X2,join(X0,X1))))))),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f11,f252])).
% 191.89/24.87 fof(f333,plain,(
% 191.89/24.87 meet(sF1_fnc,sF2_fnc)=sF1_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f107,f13])).
% 191.89/24.87 fof(f384,plain,(
% 191.89/24.87 meet(a,d)=meet(a,sF3_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f21,f147])).
% 191.89/24.87 fof(f414,plain,(
% 191.89/24.87 sF3_fnc=meet(a,sF3_fnc)),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f21,f384])).
% 191.89/24.87 fof(f442,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(X0,meet(X1,join(X2,meet(X0,X1))))=meet(X0,X1))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f17,f60])).
% 191.89/24.87 fof(f447,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f18,f60])).
% 191.89/24.87 fof(f788,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(X0,X1)=meet(X1,meet(join(meet(X0,X1),X2),X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f129,f130])).
% 191.89/24.87 fof(f806,plain,(
% 191.89/24.87 ![X0]: (meet(X0,sF1_fnc)=meet(sF1_fnc,meet(sF2_fnc,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f333,f130])).
% 191.89/24.87 fof(f822,plain,(
% 191.89/24.87 ![X0]: (meet(X0,sF5_fnc)=meet(b,meet(sF6_fnc,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f29,f130])).
% 191.89/24.87 fof(f836,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(X0,X1)=meet(X1,meet(join(X2,X1),X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f60,f130])).
% 191.89/24.87 fof(f840,plain,(
% 191.89/24.87 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f11,f130])).
% 191.89/24.87 fof(f1000,plain,(
% 191.89/24.87 meet(sF9_fnc,sF2_fnc)=meet(b,c)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f34,f138])).
% 191.89/24.87 fof(f1001,plain,(
% 191.89/24.87 meet(sF9_fnc,sF6_fnc)=meet(b,c)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f33,f138])).
% 191.89/24.87 fof(f1023,plain,(
% 191.89/24.87 meet(sF9_fnc,sF2_fnc)=sF9_fnc),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f25,f1000])).
% 191.89/24.87 fof(f1024,plain,(
% 191.89/24.87 meet(sF9_fnc,sF6_fnc)=sF9_fnc),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f25,f1001])).
% 191.89/24.87 fof(f1059,plain,(
% 191.89/24.87 join(sF2_fnc,sF9_fnc)=sF2_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f1023,f54])).
% 191.89/24.87 fof(f1073,plain,(
% 191.89/24.87 join(sF6_fnc,sF9_fnc)=sF6_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f1024,f54])).
% 191.89/24.87 fof(f1665,plain,(
% 191.89/24.87 ![X0,X1,X2,X3]: (meet(X0,X1)=meet(X1,meet(join(X2,join(X3,X1)),X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f447,f130])).
% 191.89/24.87 fof(f1666,plain,(
% 191.89/24.87 ![X0,X1,X2,X3]: (meet(X0,join(X1,join(X2,X0)))=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f447,f129])).
% 191.89/24.87 fof(f1681,plain,(
% 191.89/24.87 ![X0,X1,X2,X3]: (X0=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f447,f1666])).
% 191.89/24.87 fof(f1687,plain,(
% 191.89/24.87 ![X0,X1]: (X0=meet(join(X0,X1),X0))),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f1665,f1681])).
% 191.89/24.87 fof(f1727,plain,(
% 191.89/24.87 a=meet(sF8_fnc,a)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f112,f1687])).
% 191.89/24.87 fof(f1741,plain,(
% 191.89/24.87 ![X0,X1]: (X0=meet(join(X1,X0),X0))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f1687])).
% 191.89/24.87 fof(f1747,plain,(
% 191.89/24.87 ![X0,X1,X2]: (meet(X0,X1)=meet(join(X1,X2),meet(X1,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f1687,f130])).
% 191.89/24.87 fof(f1824,plain,(
% 191.89/24.87 meet(sF3_fnc,sF8_fnc)=meet(a,sF7_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f27,f143])).
% 191.89/24.87 fof(f2210,plain,(
% 191.89/24.87 meet(sF7_fnc,a)=meet(d,a)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f1727,f136])).
% 191.89/24.87 fof(f2393,plain,(
% 191.89/24.87 ![X0,X1]: (join(X0,X1)=meet(join(X1,X0),join(X0,X1)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f85,f1741])).
% 191.89/24.87 fof(f2499,plain,(
% 191.89/24.87 meet(d,a)=meet(a,sF3_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f21,f840])).
% 191.89/24.87 fof(f2513,plain,(
% 191.89/24.87 ![X0]: (meet(sF1_fnc,meet(sF2_fnc,X0))=meet(b,meet(X0,sF2_fnc)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f840,f139])).
% 191.89/24.87 fof(f2637,plain,(
% 191.89/24.87 meet(sF7_fnc,a)=sF3_fnc),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f2638,f2210])).
% 191.89/24.87 fof(f2638,plain,(
% 191.89/24.87 meet(d,a)=sF3_fnc),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f414,f2499])).
% 191.89/24.87 fof(f2653,plain,(
% 191.89/24.87 ![X0]: (meet(X0,sF1_fnc)=meet(b,meet(X0,sF2_fnc)))),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f806,f2513])).
% 191.89/24.87 fof(f2737,plain,(
% 191.89/24.87 meet(a,sF7_fnc)=sF3_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f15,f2637])).
% 191.89/24.87 fof(f2749,plain,(
% 191.89/24.87 join(sF7_fnc,sF3_fnc)=sF7_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f2637,f14])).
% 191.89/24.87 fof(f2750,plain,(
% 191.89/24.87 meet(sF3_fnc,sF8_fnc)=sF3_fnc),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f2737,f1824])).
% 191.89/24.87 fof(f3412,plain,(
% 191.89/24.87 join(sF3_fnc,sF7_fnc)=sF7_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f2749])).
% 191.89/24.87 fof(f3439,plain,(
% 191.89/24.87 join(sF8_fnc,sF3_fnc)=sF8_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f2750,f54])).
% 191.89/24.87 fof(f3498,plain,(
% 191.89/24.87 join(sF3_fnc,sF8_fnc)=sF8_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f3439])).
% 191.89/24.87 fof(f4059,plain,(
% 191.89/24.87 ![X0]: (join(X0,sF6_fnc)=join(sF6_fnc,join(c,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f70,f158])).
% 191.89/24.87 fof(f4092,plain,(
% 191.89/24.87 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,X0)))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f12,f158])).
% 191.89/24.87 fof(f4263,plain,(
% 191.89/24.87 join(sF6_fnc,sF8_fnc)=join(c,sF8_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f96,f181])).
% 191.89/24.87 fof(f4327,plain,(
% 191.89/24.87 join(sF2_fnc,sF8_fnc)=join(c,sF8_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f3498,f182])).
% 191.89/24.87 fof(f4328,plain,(
% 191.89/24.87 join(sF2_fnc,sF7_fnc)=join(c,sF7_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f3412,f182])).
% 191.89/24.87 fof(f4365,plain,(
% 191.89/24.87 join(sF2_fnc,sF7_fnc)=sF6_fnc),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f28,f4328])).
% 191.89/24.87 fof(f4456,plain,(
% 191.89/24.87 sF2_fnc=meet(sF6_fnc,sF2_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f4365,f1687])).
% 191.89/24.87 fof(f7294,plain,(
% 191.89/24.87 join(sF9_fnc,sF6_fnc)=join(sF6_fnc,sF6_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f1073,f4092])).
% 191.89/24.87 fof(f7301,plain,(
% 191.89/24.87 join(sF9_fnc,sF2_fnc)=join(sF2_fnc,sF2_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f1059,f4092])).
% 191.89/24.87 fof(f7322,plain,(
% 191.89/24.87 join(sF9_fnc,c)=join(c,c)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f73,f4092])).
% 191.89/24.87 fof(f7428,plain,(
% 191.89/24.87 join(sF9_fnc,sF6_fnc)=sF6_fnc),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f12,f7294])).
% 191.89/24.87 fof(f7437,plain,(
% 191.89/24.87 join(sF9_fnc,sF2_fnc)=sF2_fnc),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f12,f7301])).
% 191.89/24.87 fof(f7462,plain,(
% 191.89/24.87 join(sF9_fnc,c)=c),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f12,f7322])).
% 191.89/24.87 fof(f7579,plain,(
% 191.89/24.87 join(sF8_fnc,sF6_fnc)=join(a,sF6_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f7428,f178])).
% 191.89/24.87 fof(f7789,plain,(
% 191.89/24.87 join(sF8_fnc,sF2_fnc)=join(a,sF2_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f7437,f178])).
% 191.89/24.87 fof(f9263,plain,(
% 191.89/24.87 join(sF8_fnc,c)=join(a,c)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f7462,f178])).
% 191.89/24.87 fof(f11428,plain,(
% 191.89/24.87 join(sF6_fnc,sF8_fnc)=join(sF6_fnc,join(c,sF8_fnc))),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f4263,f187])).
% 191.89/24.87 fof(f11439,plain,(
% 191.89/24.87 join(c,sF8_fnc)=join(sF6_fnc,join(c,sF8_fnc))),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f4263,f11428])).
% 191.89/24.87 fof(f11440,plain,(
% 191.89/24.87 join(c,sF8_fnc)=join(sF8_fnc,sF6_fnc)),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f4059,f11439])).
% 191.89/24.87 fof(f11441,plain,(
% 191.89/24.87 join(sF6_fnc,sF8_fnc)=join(a,sF6_fnc)),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f11453,f4263])).
% 191.89/24.87 fof(f11452,plain,(
% 191.89/24.87 join(sF2_fnc,sF8_fnc)=join(a,sF6_fnc)),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f11453,f4327])).
% 191.89/24.87 fof(f11453,plain,(
% 191.89/24.87 join(c,sF8_fnc)=join(a,sF6_fnc)),
% 191.89/24.87 inference(forward_demodulation,[status(thm)],[f7579,f11440])).
% 191.89/24.87 fof(f12016,plain,(
% 191.89/24.87 join(sF2_fnc,sF8_fnc)=join(a,sF2_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f7789])).
% 191.89/24.87 fof(f12041,plain,(
% 191.89/24.87 join(a,sF2_fnc)=join(a,sF6_fnc)),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f12016,f11452])).
% 191.89/24.87 fof(f12067,plain,(
% 191.89/24.87 join(sF6_fnc,sF8_fnc)=join(a,sF2_fnc)),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f12041,f11441])).
% 191.89/24.87 fof(f12068,plain,(
% 191.89/24.87 join(c,sF8_fnc)=join(a,sF2_fnc)),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f12041,f11453])).
% 191.89/24.87 fof(f13022,plain,(
% 191.89/24.87 join(c,sF8_fnc)=join(a,c)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f16,f9263])).
% 191.89/24.87 fof(f13047,plain,(
% 191.89/24.87 meet(sF8_fnc,join(a,c))=sF8_fnc),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f9263,f13])).
% 191.89/24.87 fof(f13048,plain,(
% 191.89/24.87 join(a,c)=join(a,sF2_fnc)),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f13022,f12068])).
% 191.89/24.87 fof(f13066,plain,(
% 191.89/24.87 join(sF6_fnc,sF8_fnc)=join(a,c)),
% 191.89/24.87 inference(backward_demodulation,[status(thm)],[f13048,f12067])).
% 191.89/24.87 fof(f15136,plain,(
% 191.89/24.87 sF6_fnc=meet(join(a,c),sF6_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f13066,f1687])).
% 191.89/24.87 fof(f15567,plain,(
% 191.89/24.87 meet(sF7_fnc,join(a,c))=meet(d,sF8_fnc)),
% 191.89/24.87 inference(paramodulation,[status(thm)],[f13047,f136])).
% 85.81/25.07 fof(f15590,plain,(
% 85.81/25.07 meet(sF7_fnc,join(a,c))=sF7_fnc),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f27,f15567])).
% 85.81/25.07 fof(f16619,plain,(
% 85.81/25.07 meet(join(a,c),sF7_fnc)=meet(sF7_fnc,sF7_fnc)),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f15590,f840])).
% 85.81/25.07 fof(f16636,plain,(
% 85.81/25.07 meet(join(a,c),sF7_fnc)=sF7_fnc),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f11,f16619])).
% 85.81/25.07 fof(f23628,plain,(
% 85.81/25.07 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X2,meet(X1,X0)))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f1747,f836])).
% 85.81/25.07 fof(f26682,plain,(
% 85.81/25.07 ![X0,X1,X2]: (meet(join(X0,X1),join(X1,X0))=meet(join(join(X1,X0),X2),join(X0,X1)))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f2393,f1747])).
% 85.81/25.07 fof(f27159,plain,(
% 85.81/25.07 ![X0,X1,X2]: (join(X0,X1)=meet(join(join(X0,X1),X2),join(X1,X0)))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f2393,f26682])).
% 85.81/25.07 fof(f27160,plain,(
% 85.81/25.07 ![X0,X1,X2]: (join(X0,X1)=meet(join(X1,join(X0,X2)),join(X1,X0)))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f185,f27159])).
% 85.81/25.07 fof(f56780,plain,(
% 85.81/25.07 ![X0,X1,X2,X3]: (meet(join(X0,X1),X2)=meet(X2,meet(join(X0,join(X1,X3)),join(X0,X1))))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f192,f23628])).
% 85.81/25.07 fof(f57468,plain,(
% 85.81/25.07 ![X0,X1,X2]: (meet(join(X0,X1),X2)=meet(X2,join(X1,X0)))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f27160,f56780])).
% 85.81/25.07 fof(f67721,plain,(
% 85.81/25.07 sF7_fnc=meet(sF7_fnc,join(c,a))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f16636,f57468])).
% 85.81/25.07 fof(f67722,plain,(
% 85.81/25.07 sF6_fnc=meet(sF6_fnc,join(c,a))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f15136,f57468])).
% 85.81/25.07 fof(f72521,plain,(
% 85.81/25.07 join(c,meet(a,sF7_fnc))=join(c,meet(a,join(c,sF7_fnc)))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f67721,f255])).
% 85.81/25.07 fof(f72594,plain,(
% 85.81/25.07 join(c,sF3_fnc)=join(c,meet(a,join(c,sF7_fnc)))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f2737,f72521])).
% 85.81/25.07 fof(f72595,plain,(
% 85.81/25.07 sF2_fnc=join(c,meet(a,join(c,sF7_fnc)))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f22,f72594])).
% 85.81/25.07 fof(f72596,plain,(
% 85.81/25.07 sF2_fnc=join(c,meet(a,sF6_fnc))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f28,f72595])).
% 85.81/25.07 fof(f72687,plain,(
% 85.81/25.07 ![X0]: (meet(sF6_fnc,join(c,a))=meet(join(c,a),meet(join(sF6_fnc,X0),sF6_fnc)))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f67722,f788])).
% 85.81/25.07 fof(f72759,plain,(
% 85.81/25.07 ![X0]: (sF6_fnc=meet(join(c,a),meet(join(sF6_fnc,X0),sF6_fnc)))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f67722,f72687])).
% 85.81/25.07 fof(f72760,plain,(
% 85.81/25.07 sF6_fnc=meet(join(c,a),sF6_fnc)),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f1687,f72759])).
% 85.81/25.07 fof(f74675,plain,(
% 85.81/25.07 meet(a,meet(sF6_fnc,sF2_fnc))=meet(a,sF6_fnc)),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f72596,f442])).
% 85.81/25.07 fof(f74739,plain,(
% 85.81/25.07 meet(a,sF2_fnc)=meet(a,sF6_fnc)),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f4456,f74675])).
% 85.81/25.07 fof(f76276,plain,(
% 85.81/25.07 meet(sF6_fnc,a)=meet(a,sF6_fnc)),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f72760,f836])).
% 85.81/25.07 fof(f76353,plain,(
% 85.81/25.07 meet(sF6_fnc,a)=meet(a,sF2_fnc)),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f74739,f76276])).
% 85.81/25.07 fof(f77874,plain,(
% 85.81/25.07 meet(a,sF5_fnc)=meet(b,meet(a,sF2_fnc))),
% 85.81/25.07 inference(paramodulation,[status(thm)],[f76353,f822])).
% 85.81/25.07 fof(f77950,plain,(
% 85.81/25.07 sF4_fnc=meet(b,meet(a,sF2_fnc))),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f30,f77874])).
% 85.81/25.07 fof(f77951,plain,(
% 85.81/25.07 sF4_fnc=meet(a,sF1_fnc)),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f2653,f77950])).
% 85.81/25.07 fof(f77952,plain,(
% 85.81/25.07 sF4_fnc=sF0_fnc),
% 85.81/25.07 inference(forward_demodulation,[status(thm)],[f24,f77951])).
% 85.81/25.07 fof(f77953,plain,(
% 85.81/25.07 $false),
% 85.81/25.07 inference(forward_subsumption_resolution,[status(thm)],[f77952,f31])).
% 85.81/25.07 % SZS output end CNFRefutation for theBenchmark.p
% 85.81/25.08 % Elapsed time: 24.529949 seconds
% 85.81/25.08 % CPU time: 193.613110 seconds
% 85.81/25.08 % Total memory used: 541.514 MB
% 85.81/25.08 % Net memory used: 528.535 MB
%------------------------------------------------------------------------------