%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT152-1 : 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 : n013.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 01:03:18 PM UTC 2026
% Result : Unsatisfiable 81.16s 10.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT152-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n013.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sun Sep 20 23:15:50 UTC 2026
% 0.20/0.44 % CPUTime :
% 0.20/0.45 % Drodi V4.1.1
% 81.16/10.77 % Refutation found
% 81.16/10.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 81.16/10.77 % SZS output start CNFRefutation for theBenchmark
% 81.16/10.77 fof(f1,axiom,(
% 81.16/10.77 (![X]: (meet(X,X) = X ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f2,axiom,(
% 81.16/10.77 (![X]: (join(X,X) = X ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f3,axiom,(
% 81.16/10.77 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f4,axiom,(
% 81.16/10.77 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f5,axiom,(
% 81.16/10.77 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f6,axiom,(
% 81.16/10.77 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f7,axiom,(
% 81.16/10.77 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f8,axiom,(
% 81.16/10.77 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f9,axiom,(
% 81.16/10.77 (![X,Y,Z,U]: (meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(U,meet(Z,join(X,Y)))))) ))),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f10,negated_conjecture,(
% 81.16/10.77 meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ),
% 81.16/10.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 81.16/10.77 fof(f11,plain,(
% 81.16/10.77 ![X0]: (meet(X0,X0)=X0)),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f1])).
% 81.16/10.77 fof(f12,plain,(
% 81.16/10.77 ![X0]: (join(X0,X0)=X0)),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f2])).
% 81.16/10.77 fof(f13,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f3])).
% 81.16/10.77 fof(f14,plain,(
% 81.16/10.77 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f4])).
% 81.16/10.77 fof(f15,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f5])).
% 81.16/10.77 fof(f16,plain,(
% 81.16/10.77 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f6])).
% 81.16/10.77 fof(f17,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f7])).
% 81.16/10.77 fof(f18,plain,(
% 81.16/10.77 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f8])).
% 81.16/10.77 fof(f19,plain,(
% 81.16/10.77 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,join(X0,X3))))=meet(X0,join(X1,meet(X2,join(X3,meet(X2,join(X0,X1)))))))),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f9])).
% 81.16/10.77 fof(f20,plain,(
% 81.16/10.77 ~meet(a,join(b,meet(a,c)))=meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))),
% 81.16/10.77 inference(cnf_transformation,[status(thm)],[f10])).
% 81.16/10.77 fof(f21,definition,(
% 81.16/10.77 sF2_fnc=meet(a,c)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 81.16/10.77 fof(f22,definition,(
% 81.16/10.77 sF1_fnc=join(b,sF2_fnc)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 81.16/10.77 fof(f23,definition,(
% 81.16/10.77 sF0_fnc=meet(a,sF1_fnc)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 81.16/10.77 fof(f24,definition,(
% 81.16/10.77 sF6_fnc=join(b,sF2_fnc)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 81.16/10.77 fof(f25,definition,(
% 81.16/10.77 sF5_fnc=meet(a,sF6_fnc)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 81.16/10.77 fof(f26,definition,(
% 81.16/10.77 sF8_fnc=join(a,b)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 81.16/10.77 fof(f27,definition,(
% 81.16/10.77 sF7_fnc=meet(c,sF8_fnc)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 81.16/10.77 fof(f28,definition,(
% 81.16/10.77 sF4_fnc=join(sF5_fnc,sF7_fnc)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 81.16/10.77 fof(f29,definition,(
% 81.16/10.77 sF3_fnc=meet(a,sF4_fnc)),
% 81.16/10.77 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 81.16/10.77 fof(f30,plain,(
% 81.16/10.77 ~sF0_fnc=sF3_fnc),
% 81.16/10.77 inference(definition_folding,[],[f20,f29,f28,f27,f26,f25,f24,f23,f22,f21])).
% 81.16/10.77 fof(f31,plain,(
% 81.16/10.77 sF6_fnc=sF1_fnc),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f22,f24])).
% 81.16/10.77 fof(f32,plain,(
% 81.16/10.77 sF5_fnc=meet(a,sF1_fnc)),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f31,f25])).
% 81.16/10.77 fof(f33,plain,(
% 81.16/10.77 sF5_fnc=sF0_fnc),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f23,f32])).
% 81.16/10.77 fof(f34,plain,(
% 81.16/10.77 sF4_fnc=join(sF0_fnc,sF7_fnc)),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f33,f28])).
% 81.16/10.77 fof(f36,plain,(
% 81.16/10.77 meet(b,sF1_fnc)=b),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f22,f13])).
% 81.16/10.77 fof(f44,plain,(
% 81.16/10.77 meet(sF0_fnc,sF4_fnc)=sF0_fnc),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f34,f13])).
% 81.16/10.77 fof(f57,plain,(
% 81.16/10.77 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f15,f14])).
% 81.16/10.77 fof(f63,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f16,f13])).
% 81.16/10.77 fof(f66,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f15,f17])).
% 81.16/10.77 fof(f72,plain,(
% 81.16/10.77 ![X0]: (meet(sF7_fnc,X0)=meet(c,meet(sF8_fnc,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f27,f17])).
% 81.16/10.77 fof(f76,plain,(
% 81.16/10.77 ![X0]: (meet(sF2_fnc,X0)=meet(a,meet(c,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f21,f17])).
% 81.16/10.77 fof(f78,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X1,meet(X0,X2)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f15,f17])).
% 81.16/10.77 fof(f80,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f11,f17])).
% 81.16/10.77 fof(f131,plain,(
% 81.16/10.77 join(sF1_fnc,b)=sF1_fnc),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f36,f57])).
% 81.16/10.77 fof(f150,plain,(
% 81.16/10.77 join(b,sF1_fnc)=sF1_fnc),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f16,f131])).
% 81.16/10.77 fof(f163,plain,(
% 81.16/10.77 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f16,f18])).
% 81.16/10.77 fof(f170,plain,(
% 81.16/10.77 ![X0]: (join(sF4_fnc,X0)=join(sF0_fnc,join(sF7_fnc,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f34,f18])).
% 81.16/10.77 fof(f175,plain,(
% 81.16/10.77 ![X0]: (join(sF8_fnc,X0)=join(a,join(b,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f26,f18])).
% 81.16/10.77 fof(f177,plain,(
% 81.16/10.77 ![X0]: (join(sF1_fnc,X0)=join(b,join(sF2_fnc,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f22,f18])).
% 81.16/10.77 fof(f178,plain,(
% 81.16/10.77 ![X0,X1,X2]: (join(X0,X1)=join(X0,join(meet(X2,X0),X1)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f57,f18])).
% 81.16/10.77 fof(f197,plain,(
% 81.16/10.77 ![X0,X1,X2,X3,X4]: (meet(X0,join(X1,meet(meet(X2,X3),join(X0,X4))))=meet(X0,join(X1,meet(X2,meet(X3,join(X4,meet(meet(X2,X3),join(X0,X1))))))))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f17,f19])).
% 81.16/10.77 fof(f206,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,join(X0,meet(X2,join(X0,X1))))))=meet(X0,join(X1,meet(X2,meet(X2,join(X0,X1))))))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f12,f19])).
% 81.16/10.77 fof(f242,plain,(
% 81.16/10.77 ![X0,X1,X2,X3,X4]: (meet(X0,join(X1,meet(X2,meet(X3,join(X0,X4)))))=meet(X0,join(X1,meet(X2,meet(X3,join(X4,meet(meet(X2,X3),join(X0,X1))))))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f17,f197])).
% 81.16/10.77 fof(f243,plain,(
% 81.16/10.77 ![X0,X1,X2,X3,X4]: (meet(X0,join(X1,meet(X2,meet(X3,join(X0,X4)))))=meet(X0,join(X1,meet(X2,meet(X3,join(X4,meet(X2,meet(X3,join(X0,X1)))))))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f17,f242])).
% 81.16/10.77 fof(f248,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,join(X0,X0))))=meet(X0,join(X1,meet(X2,meet(X2,join(X0,X1))))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f19,f206])).
% 81.16/10.77 fof(f249,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,X0)))=meet(X0,join(X1,meet(X2,meet(X2,join(X0,X1))))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f12,f248])).
% 81.16/10.77 fof(f250,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,X0)))=meet(X0,join(X1,meet(X2,join(X0,X1)))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f80,f249])).
% 81.16/10.77 fof(f340,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,meet(meet(X0,X1),X2))))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f17,f80])).
% 81.16/10.77 fof(f351,plain,(
% 81.16/10.77 meet(c,sF8_fnc)=meet(c,sF7_fnc)),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f27,f80])).
% 81.16/10.77 fof(f359,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X1,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f15,f80])).
% 81.16/10.77 fof(f368,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X1,meet(meet(X0,X1),X2))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f17,f340])).
% 81.16/10.77 fof(f369,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X1,meet(X0,meet(X1,X2)))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f17,f368])).
% 81.16/10.77 fof(f381,plain,(
% 81.16/10.77 sF7_fnc=meet(c,sF7_fnc)),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f27,f351])).
% 81.16/10.77 fof(f406,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f18,f63])).
% 81.16/10.77 fof(f604,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,X1)=meet(X1,meet(join(X2,X1),X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f63,f66])).
% 81.16/10.77 fof(f617,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,meet(meet(X1,X0),X1))=meet(X1,X0))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f11,f66])).
% 81.16/10.77 fof(f665,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X2,meet(X0,X1))))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f66,f80])).
% 81.16/10.77 fof(f688,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,meet(X1,meet(X0,X1)))=meet(X1,X0))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f17,f617])).
% 81.16/10.77 fof(f689,plain,(
% 81.16/10.77 ![X0,X1]: (meet(X0,meet(X1,X0))=meet(X1,X0))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f359,f688])).
% 81.16/10.77 fof(f727,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(meet(X1,X2),X1)))),
% 81.16/10.77 inference(backward_demodulation,[status(thm)],[f665,f369])).
% 81.16/10.77 fof(f734,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X1,meet(X2,X1))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f17,f727])).
% 81.16/10.77 fof(f735,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X2,X1)))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f689,f734])).
% 81.16/10.77 fof(f921,plain,(
% 81.16/10.77 meet(sF2_fnc,sF7_fnc)=meet(a,sF7_fnc)),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f381,f76])).
% 81.16/10.77 fof(f1069,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,join(join(X1,X0),X2))=X0)),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f16,f406])).
% 81.16/10.77 fof(f1094,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(meet(X0,X1),join(X2,X0))=meet(X0,X1))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f14,f406])).
% 81.16/10.77 fof(f1116,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,join(X1,join(X0,X2)))=X0)),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f18,f1069])).
% 81.16/10.77 fof(f1119,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,join(X2,X0)))=meet(X0,X1))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f17,f1094])).
% 81.16/10.77 fof(f1394,plain,(
% 81.16/10.77 join(sF2_fnc,meet(a,sF7_fnc))=sF2_fnc),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f921,f14])).
% 81.16/10.77 fof(f2296,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(meet(X0,X1),join(X1,X2))=meet(X0,X1))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f178,f1116])).
% 81.16/10.77 fof(f2363,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,meet(X1,join(X0,X2)))=meet(X1,X0))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f78,f2296])).
% 81.16/10.77 fof(f2728,plain,(
% 81.16/10.77 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,X0)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f12,f163])).
% 81.16/10.77 fof(f2989,plain,(
% 81.16/10.77 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X1,join(join(X1,X0),X2)))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f2728,f18])).
% 81.16/10.77 fof(f3085,plain,(
% 81.16/10.77 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(join(X1,X0),X2)))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f18,f2989])).
% 81.16/10.77 fof(f3086,plain,(
% 81.16/10.77 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X1,join(X0,X2))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f18,f3085])).
% 81.16/10.77 fof(f3087,plain,(
% 81.16/10.77 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X2),X1))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f2728,f3086])).
% 81.16/10.77 fof(f3785,plain,(
% 81.16/10.77 ![X0,X1,X2,X3]: (meet(meet(join(X0,join(X1,X2)),X3),X2)=meet(X2,meet(X3,join(X1,X2))))),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f604,f604])).
% 81.16/10.77 fof(f3877,plain,(
% 81.16/10.77 ![X0,X1,X2,X3]: (meet(X0,meet(join(X1,join(X2,X3)),X3))=meet(X3,meet(X0,join(X2,X3))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f78,f3785])).
% 81.16/10.77 fof(f3878,plain,(
% 81.16/10.77 ![X0,X1,X2,X3]: (meet(X0,meet(X1,join(X2,join(X3,X1))))=meet(X1,meet(X0,join(X3,X1))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f735,f3877])).
% 81.16/10.77 fof(f3879,plain,(
% 81.16/10.77 ![X0,X1,X2]: (meet(X0,X1)=meet(X1,meet(X0,join(X2,X1))))),
% 81.16/10.77 inference(forward_demodulation,[status(thm)],[f406,f3878])).
% 81.16/10.77 fof(f4747,plain,(
% 81.16/10.77 join(sF8_fnc,sF1_fnc)=join(a,sF1_fnc)),
% 81.16/10.77 inference(paramodulation,[status(thm)],[f150,f175])).
% 81.16/10.77 fof(f4798,plain,(
% 81.16/10.77 join(sF1_fnc,sF8_fnc)=join(a,sF1_fnc)),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f16,f4747])).
% 74.21/10.88 fof(f4861,plain,(
% 74.21/10.88 join(sF1_fnc,meet(a,sF7_fnc))=join(b,sF2_fnc)),
% 74.21/10.88 inference(paramodulation,[status(thm)],[f1394,f177])).
% 74.21/10.88 fof(f4911,plain,(
% 74.21/10.88 join(sF1_fnc,meet(a,sF7_fnc))=sF1_fnc),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f22,f4861])).
% 74.21/10.88 fof(f5241,plain,(
% 74.21/10.88 meet(sF8_fnc,join(a,sF1_fnc))=sF8_fnc),
% 74.21/10.88 inference(paramodulation,[status(thm)],[f4798,f63])).
% 74.21/10.88 fof(f5319,plain,(
% 74.21/10.88 meet(sF7_fnc,join(a,sF1_fnc))=meet(c,sF8_fnc)),
% 74.21/10.88 inference(paramodulation,[status(thm)],[f5241,f72])).
% 74.21/10.88 fof(f5338,plain,(
% 74.21/10.88 meet(sF7_fnc,join(a,sF1_fnc))=sF7_fnc),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f27,f5319])).
% 74.21/10.88 fof(f10728,plain,(
% 74.21/10.88 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,meet(X3,join(X0,X2)))))=meet(X0,join(X1,meet(X3,X2))))),
% 74.21/10.88 inference(paramodulation,[status(thm)],[f2363,f243])).
% 74.21/10.88 fof(f10951,plain,(
% 74.21/10.88 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,X3)))=meet(X0,join(X1,meet(X3,X2))))),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f1119,f10728])).
% 74.21/10.88 fof(f15675,plain,(
% 74.21/10.88 meet(a,join(sF1_fnc,meet(sF7_fnc,a)))=meet(a,join(sF1_fnc,sF7_fnc))),
% 74.21/10.88 inference(paramodulation,[status(thm)],[f5338,f250])).
% 74.21/10.88 fof(f15849,plain,(
% 74.21/10.88 meet(a,join(sF1_fnc,meet(a,sF7_fnc)))=meet(a,join(sF1_fnc,sF7_fnc))),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f10951,f15675])).
% 74.21/10.88 fof(f15850,plain,(
% 74.21/10.88 meet(a,sF1_fnc)=meet(a,join(sF1_fnc,sF7_fnc))),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f4911,f15849])).
% 74.21/10.88 fof(f15852,plain,(
% 74.21/10.88 sF0_fnc=meet(a,join(sF1_fnc,sF7_fnc))),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f23,f15850])).
% 74.21/10.88 fof(f17402,plain,(
% 74.21/10.88 join(join(sF1_fnc,sF7_fnc),sF0_fnc)=join(sF1_fnc,sF7_fnc)),
% 74.21/10.88 inference(paramodulation,[status(thm)],[f15852,f57])).
% 74.21/10.88 fof(f17463,plain,(
% 74.21/10.88 join(sF1_fnc,join(sF0_fnc,sF7_fnc))=join(sF1_fnc,sF7_fnc)),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f3087,f17402])).
% 74.21/10.88 fof(f17464,plain,(
% 74.21/10.88 join(sF0_fnc,join(sF7_fnc,sF1_fnc))=join(sF1_fnc,sF7_fnc)),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f163,f17463])).
% 74.21/10.88 fof(f17465,plain,(
% 74.21/10.88 join(sF4_fnc,sF1_fnc)=join(sF1_fnc,sF7_fnc)),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f170,f17464])).
% 74.21/10.88 fof(f17466,plain,(
% 74.21/10.88 sF0_fnc=meet(a,join(sF1_fnc,sF4_fnc))),
% 74.21/10.88 inference(backward_demodulation,[status(thm)],[f17480,f15852])).
% 74.21/10.88 fof(f17480,plain,(
% 74.21/10.88 join(sF1_fnc,sF4_fnc)=join(sF1_fnc,sF7_fnc)),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f16,f17465])).
% 74.21/10.88 fof(f17572,plain,(
% 74.21/10.88 meet(a,sF4_fnc)=meet(sF4_fnc,sF0_fnc)),
% 74.21/10.88 inference(paramodulation,[status(thm)],[f17466,f3879])).
% 74.21/10.88 fof(f17610,plain,(
% 74.21/10.88 sF3_fnc=meet(sF4_fnc,sF0_fnc)),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f29,f17572])).
% 74.21/10.88 fof(f17611,plain,(
% 74.21/10.88 sF3_fnc=meet(sF0_fnc,sF4_fnc)),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f15,f17610])).
% 74.21/10.88 fof(f17612,plain,(
% 74.21/10.88 sF3_fnc=sF0_fnc),
% 74.21/10.88 inference(forward_demodulation,[status(thm)],[f44,f17611])).
% 74.21/10.88 fof(f17613,plain,(
% 74.21/10.88 $false),
% 74.21/10.88 inference(forward_subsumption_resolution,[status(thm)],[f17612,f30])).
% 74.21/10.88 % SZS output end CNFRefutation for theBenchmark.p
% 15.55/10.95 % Elapsed time: 10.487355 seconds
% 15.55/10.95 % CPU time: 82.624759 seconds
% 15.55/10.95 % Total memory used: 435.244 MB
% 15.55/10.95 % Net memory used: 428.318 MB
%------------------------------------------------------------------------------