%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT154-1 : 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 : n015.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 130.05s 21.91s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT154-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n015.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 23:19:28 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 130.05/21.91 % Refutation found
% 130.05/21.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 130.05/21.91 % SZS output start CNFRefutation for theBenchmark
% 130.05/21.91 fof(f1,axiom,(
% 130.05/21.91 (![X]: (meet(X,X) = X ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f2,axiom,(
% 130.05/21.91 (![X]: (join(X,X) = X ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f3,axiom,(
% 130.05/21.91 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f4,axiom,(
% 130.05/21.91 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f5,axiom,(
% 130.05/21.91 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f6,axiom,(
% 130.05/21.91 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f7,axiom,(
% 130.05/21.91 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f8,axiom,(
% 130.05/21.91 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f9,axiom,(
% 130.05/21.91 (![X,Y,Z,U]: (meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(Y,join(U,meet(X,Z)))))) ))),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f10,negated_conjecture,(
% 130.05/21.91 meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) ),
% 130.05/21.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 130.05/21.91 fof(f11,plain,(
% 130.05/21.91 ![X0]: (meet(X0,X0)=X0)),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f1])).
% 130.05/21.91 fof(f12,plain,(
% 130.05/21.91 ![X0]: (join(X0,X0)=X0)),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f2])).
% 130.05/21.91 fof(f13,plain,(
% 130.05/21.91 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f3])).
% 130.05/21.91 fof(f14,plain,(
% 130.05/21.91 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f4])).
% 130.05/21.91 fof(f15,plain,(
% 130.05/21.91 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f5])).
% 130.05/21.91 fof(f16,plain,(
% 130.05/21.91 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f6])).
% 130.05/21.91 fof(f17,plain,(
% 130.05/21.91 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f7])).
% 130.05/21.91 fof(f18,plain,(
% 130.05/21.91 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f8])).
% 130.05/21.91 fof(f19,plain,(
% 130.05/21.91 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,join(X0,X3))))=meet(X0,join(X1,meet(X2,join(X1,join(X3,meet(X0,X2)))))))),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f9])).
% 130.05/21.91 fof(f20,plain,(
% 130.05/21.91 ~meet(a,join(b,meet(a,c)))=meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))),
% 130.05/21.91 inference(cnf_transformation,[status(thm)],[f10])).
% 130.05/21.91 fof(f21,definition,(
% 130.05/21.91 sF2_fnc=meet(a,c)),
% 130.05/21.91 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 130.05/21.91 fof(f22,definition,(
% 130.05/21.91 sF1_fnc=join(b,sF2_fnc)),
% 130.05/21.91 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 130.05/21.91 fof(f23,definition,(
% 130.05/21.91 sF0_fnc=meet(a,sF1_fnc)),
% 130.05/21.91 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 130.05/21.92 fof(f24,definition,(
% 130.05/21.92 sF6_fnc=join(b,sF2_fnc)),
% 130.05/21.92 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 130.05/21.92 fof(f25,definition,(
% 130.05/21.92 sF5_fnc=meet(a,sF6_fnc)),
% 130.05/21.92 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 130.05/21.92 fof(f26,definition,(
% 130.05/21.92 sF8_fnc=join(a,b)),
% 130.05/21.92 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 130.05/21.92 fof(f27,definition,(
% 130.05/21.92 sF7_fnc=meet(c,sF8_fnc)),
% 130.05/21.92 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 130.05/21.92 fof(f28,definition,(
% 130.05/21.92 sF4_fnc=join(sF5_fnc,sF7_fnc)),
% 130.05/21.92 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 130.05/21.92 fof(f29,definition,(
% 130.05/21.92 sF3_fnc=meet(a,sF4_fnc)),
% 130.05/21.92 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 130.05/21.92 fof(f30,plain,(
% 130.05/21.92 ~sF0_fnc=sF3_fnc),
% 130.05/21.92 inference(definition_folding,[],[f20,f29,f28,f27,f26,f25,f24,f23,f22,f21])).
% 130.05/21.92 fof(f31,plain,(
% 130.05/21.92 sF6_fnc=sF1_fnc),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f22,f24])).
% 130.05/21.92 fof(f32,plain,(
% 130.05/21.92 sF5_fnc=meet(a,sF1_fnc)),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f31,f25])).
% 130.05/21.92 fof(f33,plain,(
% 130.05/21.92 sF5_fnc=sF0_fnc),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f23,f32])).
% 130.05/21.92 fof(f34,plain,(
% 130.05/21.92 sF4_fnc=join(sF0_fnc,sF7_fnc)),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f33,f28])).
% 130.05/21.92 fof(f36,plain,(
% 130.05/21.92 meet(b,sF1_fnc)=b),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f22,f13])).
% 130.05/21.92 fof(f44,plain,(
% 130.05/21.92 meet(sF0_fnc,sF4_fnc)=sF0_fnc),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f34,f13])).
% 130.05/21.92 fof(f57,plain,(
% 130.05/21.92 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f15,f14])).
% 130.05/21.92 fof(f63,plain,(
% 130.05/21.92 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f16,f13])).
% 130.05/21.92 fof(f66,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f15,f17])).
% 130.05/21.92 fof(f72,plain,(
% 130.05/21.92 ![X0]: (meet(sF7_fnc,X0)=meet(c,meet(sF8_fnc,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f27,f17])).
% 130.05/21.92 fof(f76,plain,(
% 130.05/21.92 ![X0]: (meet(sF2_fnc,X0)=meet(a,meet(c,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f21,f17])).
% 130.05/21.92 fof(f77,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(join(X0,X2),X1)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f13,f17])).
% 130.05/21.92 fof(f78,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X1,meet(X0,X2)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f15,f17])).
% 130.05/21.92 fof(f80,plain,(
% 130.05/21.92 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f11,f17])).
% 130.05/21.92 fof(f131,plain,(
% 130.05/21.92 join(sF1_fnc,b)=sF1_fnc),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f36,f57])).
% 130.05/21.92 fof(f138,plain,(
% 130.05/21.92 ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f13,f57])).
% 130.05/21.92 fof(f150,plain,(
% 130.05/21.92 join(b,sF1_fnc)=sF1_fnc),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f16,f131])).
% 130.05/21.92 fof(f156,plain,(
% 130.05/21.92 ![X0,X1]: (join(X0,join(X0,X1))=join(X0,X1))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f16,f138])).
% 130.05/21.92 fof(f161,plain,(
% 130.05/21.92 ![X0,X1,X2]: (join(X0,X1)=join(X0,join(X1,meet(X2,join(X0,X1)))))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f57,f18])).
% 130.05/21.92 fof(f163,plain,(
% 130.05/21.92 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f16,f18])).
% 130.05/21.92 fof(f170,plain,(
% 130.05/21.92 ![X0]: (join(sF4_fnc,X0)=join(sF0_fnc,join(sF7_fnc,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f34,f18])).
% 130.05/21.92 fof(f175,plain,(
% 130.05/21.92 ![X0]: (join(sF8_fnc,X0)=join(a,join(b,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f26,f18])).
% 130.05/21.92 fof(f177,plain,(
% 130.05/21.92 ![X0]: (join(sF1_fnc,X0)=join(b,join(sF2_fnc,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f22,f18])).
% 130.05/21.92 fof(f180,plain,(
% 130.05/21.92 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X1,join(X0,X2)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f16,f18])).
% 130.05/21.92 fof(f203,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,join(join(X1,meet(X0,X2)),meet(X2,join(X0,X1))))=meet(X0,join(join(X1,meet(X0,X2)),meet(X2,join(X1,meet(X0,X2))))))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f12,f19])).
% 130.05/21.92 fof(f248,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X0,X1)))))=meet(X0,join(join(X1,meet(X0,X2)),meet(X2,join(X1,meet(X0,X2))))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f18,f203])).
% 130.05/21.92 fof(f249,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X0,X1)))))=meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,meet(X0,X2)))))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f18,f248])).
% 130.05/21.92 fof(f250,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X0,X1)))))=meet(X0,join(X1,meet(X0,X2))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f161,f249])).
% 130.05/21.92 fof(f333,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,meet(meet(X0,X1),X2))))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f17,f80])).
% 130.05/21.92 fof(f344,plain,(
% 130.05/21.92 meet(c,sF8_fnc)=meet(c,sF7_fnc)),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f27,f80])).
% 130.05/21.92 fof(f352,plain,(
% 130.05/21.92 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X1,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f15,f80])).
% 130.05/21.92 fof(f362,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X1,meet(meet(X0,X1),X2))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f17,f333])).
% 130.05/21.92 fof(f363,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X1,meet(X0,meet(X1,X2)))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f17,f362])).
% 130.05/21.92 fof(f375,plain,(
% 130.05/21.92 sF7_fnc=meet(c,sF7_fnc)),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f27,f344])).
% 130.05/21.92 fof(f404,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f18,f63])).
% 130.05/21.92 fof(f607,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,X1)=meet(X1,meet(join(X2,X1),X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f63,f66])).
% 130.05/21.92 fof(f611,plain,(
% 130.05/21.92 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f11,f66])).
% 130.05/21.92 fof(f620,plain,(
% 130.05/21.92 ![X0,X1]: (meet(X0,meet(meet(X1,X0),X1))=meet(X1,X0))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f11,f66])).
% 130.05/21.92 fof(f669,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X2,meet(X0,X1))))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f66,f80])).
% 130.05/21.92 fof(f693,plain,(
% 130.05/21.92 ![X0,X1]: (meet(X0,meet(X1,meet(X0,X1)))=meet(X1,X0))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f17,f620])).
% 130.05/21.92 fof(f694,plain,(
% 130.05/21.92 ![X0,X1]: (meet(X0,meet(X1,X0))=meet(X1,X0))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f352,f693])).
% 130.05/21.92 fof(f734,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(meet(X1,X2),X1)))),
% 130.05/21.92 inference(backward_demodulation,[status(thm)],[f669,f363])).
% 130.05/21.92 fof(f743,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X1,meet(X2,X1))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f17,f734])).
% 130.05/21.92 fof(f744,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X0,meet(X2,X1)))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f694,f743])).
% 130.05/21.92 fof(f942,plain,(
% 130.05/21.92 meet(sF2_fnc,sF7_fnc)=meet(a,sF7_fnc)),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f375,f76])).
% 130.05/21.92 fof(f1420,plain,(
% 130.05/21.92 join(sF2_fnc,meet(a,sF7_fnc))=sF2_fnc),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f942,f14])).
% 130.05/21.92 fof(f1461,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,meet(join(X0,X1),X2))=meet(X0,meet(X2,join(X0,X1))))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f611,f77])).
% 130.05/21.92 fof(f1524,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(X0,X2))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f77,f1461])).
% 130.05/21.92 fof(f2759,plain,(
% 130.05/21.92 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,X0)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f12,f163])).
% 130.05/21.92 fof(f3447,plain,(
% 130.05/21.92 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(join(X0,X1),join(X0,X2)))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f156,f180])).
% 130.05/21.92 fof(f3562,plain,(
% 130.05/21.92 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),join(X1,X2)))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f180,f3447])).
% 130.05/21.92 fof(f3563,plain,(
% 130.05/21.92 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X0,join(X1,join(X1,X2))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f180,f3562])).
% 130.05/21.92 fof(f3564,plain,(
% 130.05/21.92 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X0,join(X2,X1)))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f2759,f3563])).
% 130.05/21.92 fof(f3815,plain,(
% 130.05/21.92 ![X0,X1,X2,X3]: (meet(meet(join(X0,join(X1,X2)),X3),X2)=meet(X2,meet(X3,join(X1,X2))))),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f607,f607])).
% 130.05/21.92 fof(f3908,plain,(
% 130.05/21.92 ![X0,X1,X2,X3]: (meet(X0,meet(join(X1,join(X2,X3)),X3))=meet(X3,meet(X0,join(X2,X3))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f78,f3815])).
% 130.05/21.92 fof(f3909,plain,(
% 130.05/21.92 ![X0,X1,X2,X3]: (meet(X0,meet(X1,join(X2,join(X3,X1))))=meet(X1,meet(X0,join(X3,X1))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f744,f3908])).
% 130.05/21.92 fof(f3910,plain,(
% 130.05/21.92 ![X0,X1,X2]: (meet(X0,X1)=meet(X1,meet(X0,join(X2,X1))))),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f404,f3909])).
% 130.05/21.92 fof(f4851,plain,(
% 130.05/21.92 join(sF8_fnc,sF1_fnc)=join(a,sF1_fnc)),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f150,f175])).
% 130.05/21.92 fof(f4902,plain,(
% 130.05/21.92 join(sF1_fnc,sF8_fnc)=join(a,sF1_fnc)),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f16,f4851])).
% 130.05/21.92 fof(f4961,plain,(
% 130.05/21.92 join(sF1_fnc,meet(a,sF7_fnc))=join(b,sF2_fnc)),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f1420,f177])).
% 130.05/21.92 fof(f5011,plain,(
% 130.05/21.92 join(sF1_fnc,meet(a,sF7_fnc))=sF1_fnc),
% 130.05/21.92 inference(forward_demodulation,[status(thm)],[f22,f4961])).
% 130.05/21.92 fof(f5340,plain,(
% 130.05/21.92 meet(sF8_fnc,join(a,sF1_fnc))=sF8_fnc),
% 130.05/21.92 inference(paramodulation,[status(thm)],[f4902,f63])).
% 130.05/22.08 fof(f5416,plain,(
% 130.05/22.08 meet(sF7_fnc,join(a,sF1_fnc))=meet(c,sF8_fnc)),
% 130.05/22.08 inference(paramodulation,[status(thm)],[f5340,f72])).
% 130.05/22.08 fof(f5435,plain,(
% 130.05/22.08 meet(sF7_fnc,join(a,sF1_fnc))=sF7_fnc),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f27,f5416])).
% 130.05/22.08 fof(f8401,plain,(
% 130.05/22.08 ![X0,X1,X2]: (join(meet(X0,join(X1,X2)),meet(X1,X0))=meet(X0,join(X1,X2)))),
% 130.05/22.08 inference(paramodulation,[status(thm)],[f1524,f57])).
% 130.05/22.08 fof(f8533,plain,(
% 130.05/22.08 ![X0,X1,X2]: (meet(X0,join(X1,meet(X2,join(X0,X1))))=meet(X0,join(X1,meet(X0,X2))))),
% 130.05/22.08 inference(backward_demodulation,[status(thm)],[f8534,f250])).
% 130.05/22.08 fof(f8534,plain,(
% 130.05/22.08 ![X0,X1,X2]: (join(meet(X0,X1),meet(X1,join(X0,X2)))=meet(X1,join(X0,X2)))),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f16,f8401])).
% 130.05/22.08 fof(f25716,plain,(
% 130.05/22.08 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X2,join(X1,X0)))),
% 130.05/22.08 inference(paramodulation,[status(thm)],[f16,f3564])).
% 130.05/22.08 fof(f37023,plain,(
% 130.05/22.08 meet(a,join(sF1_fnc,sF7_fnc))=meet(a,join(sF1_fnc,meet(a,sF7_fnc)))),
% 130.05/22.08 inference(paramodulation,[status(thm)],[f5435,f8533])).
% 130.05/22.08 fof(f37283,plain,(
% 130.05/22.08 meet(a,join(sF1_fnc,sF7_fnc))=meet(a,sF1_fnc)),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f5011,f37023])).
% 130.05/22.08 fof(f37285,plain,(
% 130.05/22.08 meet(a,join(sF1_fnc,sF7_fnc))=sF0_fnc),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f23,f37283])).
% 130.05/22.08 fof(f38108,plain,(
% 130.05/22.08 join(join(sF1_fnc,sF7_fnc),sF0_fnc)=join(sF1_fnc,sF7_fnc)),
% 130.05/22.08 inference(paramodulation,[status(thm)],[f37285,f57])).
% 130.05/22.08 fof(f38229,plain,(
% 130.05/22.08 join(sF0_fnc,join(sF7_fnc,sF1_fnc))=join(sF1_fnc,sF7_fnc)),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f25716,f38108])).
% 130.05/22.08 fof(f38230,plain,(
% 130.05/22.08 join(sF4_fnc,sF1_fnc)=join(sF1_fnc,sF7_fnc)),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f170,f38229])).
% 130.05/22.08 fof(f38231,plain,(
% 130.05/22.08 meet(a,join(sF1_fnc,sF4_fnc))=sF0_fnc),
% 130.05/22.08 inference(backward_demodulation,[status(thm)],[f38263,f37285])).
% 130.05/22.08 fof(f38263,plain,(
% 130.05/22.08 join(sF1_fnc,sF4_fnc)=join(sF1_fnc,sF7_fnc)),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f16,f38230])).
% 130.05/22.08 fof(f38413,plain,(
% 130.05/22.08 meet(a,sF4_fnc)=meet(sF4_fnc,sF0_fnc)),
% 130.05/22.08 inference(paramodulation,[status(thm)],[f38231,f3910])).
% 130.05/22.08 fof(f38495,plain,(
% 130.05/22.08 sF3_fnc=meet(sF4_fnc,sF0_fnc)),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f29,f38413])).
% 130.05/22.08 fof(f38496,plain,(
% 130.05/22.08 sF3_fnc=meet(sF0_fnc,sF4_fnc)),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f15,f38495])).
% 130.05/22.08 fof(f38497,plain,(
% 130.05/22.08 sF3_fnc=sF0_fnc),
% 130.05/22.08 inference(forward_demodulation,[status(thm)],[f44,f38496])).
% 130.05/22.08 fof(f38498,plain,(
% 130.05/22.08 $false),
% 130.05/22.08 inference(forward_subsumption_resolution,[status(thm)],[f38497,f30])).
% 130.05/22.08 % SZS output end CNFRefutation for theBenchmark.p
% 58.00/22.16 % Elapsed time: 16.773802 seconds
% 58.00/22.16 % CPU time: 132.458514 seconds
% 58.00/22.16 % Total memory used: 622.347 MB
% 58.00/22.16 % Net memory used: 612.308 MB
%------------------------------------------------------------------------------