%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT155-1 : 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 : 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 01:03:18 PM UTC 2026
% Result : Unsatisfiable 62.50s 8.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT155-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 23:19:01 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 62.50/8.38 % Refutation found
% 62.50/8.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 62.50/8.38 % SZS output start CNFRefutation for theBenchmark
% 62.50/8.38 fof(f1,axiom,(
% 62.50/8.38 (![X]: (meet(X,X) = X ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f2,axiom,(
% 62.50/8.38 (![X]: (join(X,X) = X ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f3,axiom,(
% 62.50/8.38 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f4,axiom,(
% 62.50/8.38 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f5,axiom,(
% 62.50/8.38 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f6,axiom,(
% 62.50/8.38 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f7,axiom,(
% 62.50/8.38 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f8,axiom,(
% 62.50/8.38 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f9,axiom,(
% 62.50/8.38 (![X,Y,Z,U]: (meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,join(meet(X,Z),meet(Z,join(Y,U))))) ))),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f10,negated_conjecture,(
% 62.50/8.38 meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))) ),
% 62.50/8.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 62.50/8.38 fof(f11,plain,(
% 62.50/8.38 ![X0]: (meet(X0,X0)=X0)),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f1])).
% 62.50/8.38 fof(f12,plain,(
% 62.50/8.38 ![X0]: (join(X0,X0)=X0)),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f2])).
% 62.50/8.38 fof(f13,plain,(
% 62.50/8.38 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f3])).
% 62.50/8.38 fof(f14,plain,(
% 62.50/8.38 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f4])).
% 62.50/8.38 fof(f15,plain,(
% 62.50/8.38 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f5])).
% 62.50/8.38 fof(f16,plain,(
% 62.50/8.38 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f6])).
% 62.50/8.38 fof(f17,plain,(
% 62.50/8.38 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f7])).
% 62.50/8.38 fof(f18,plain,(
% 62.50/8.38 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f8])).
% 62.50/8.38 fof(f19,plain,(
% 62.50/8.38 ![X0,X1,X2,X3]: (meet(X0,join(X1,meet(X2,join(X0,X3))))=meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,X3))))))),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f9])).
% 62.50/8.38 fof(f20,plain,(
% 62.50/8.38 ~meet(a,join(b,meet(a,c)))=meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c)))))),
% 62.50/8.38 inference(cnf_transformation,[status(thm)],[f10])).
% 62.50/8.38 fof(f21,definition,(
% 62.50/8.38 sF2_fnc=meet(a,c)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 62.50/8.38 fof(f22,definition,(
% 62.50/8.38 sF1_fnc=join(b,sF2_fnc)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 62.50/8.38 fof(f23,definition,(
% 62.50/8.38 sF0_fnc=meet(a,sF1_fnc)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 62.50/8.38 fof(f24,definition,(
% 62.50/8.38 sF8_fnc=join(b,c)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 62.50/8.38 fof(f25,definition,(
% 62.50/8.38 sF7_fnc=meet(a,sF8_fnc)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 62.50/8.38 fof(f26,definition,(
% 62.50/8.38 sF9_fnc=meet(b,c)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition])).
% 62.50/8.38 fof(f27,definition,(
% 62.50/8.38 sF6_fnc=join(sF7_fnc,sF9_fnc)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 62.50/8.38 fof(f28,definition,(
% 62.50/8.38 sF5_fnc=meet(c,sF6_fnc)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 62.50/8.38 fof(f29,definition,(
% 62.50/8.38 sF4_fnc=join(b,sF5_fnc)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 62.50/8.38 fof(f30,definition,(
% 62.50/8.38 sF3_fnc=meet(a,sF4_fnc)),
% 62.50/8.38 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 62.50/8.38 fof(f31,plain,(
% 62.50/8.38 ~sF0_fnc=sF3_fnc),
% 62.50/8.38 inference(definition_folding,[],[f20,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21])).
% 62.50/8.38 fof(f32,plain,(
% 62.50/8.38 meet(sF7_fnc,sF6_fnc)=sF7_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f27,f13])).
% 62.50/8.38 fof(f34,plain,(
% 62.50/8.38 meet(b,sF8_fnc)=b),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f24,f13])).
% 62.50/8.38 fof(f38,plain,(
% 62.50/8.38 join(c,sF5_fnc)=c),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f28,f14])).
% 62.50/8.38 fof(f42,plain,(
% 62.50/8.38 join(b,sF9_fnc)=b),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f26,f14])).
% 62.50/8.38 fof(f50,plain,(
% 62.50/8.38 sF7_fnc=meet(sF6_fnc,sF7_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f32,f15])).
% 62.50/8.38 fof(f57,plain,(
% 62.50/8.38 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f15,f14])).
% 62.50/8.38 fof(f64,plain,(
% 62.50/8.38 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f16,f13])).
% 62.50/8.38 fof(f79,plain,(
% 62.50/8.38 join(sF8_fnc,b)=sF8_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f34,f57])).
% 62.50/8.38 fof(f86,plain,(
% 62.50/8.38 ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f13,f57])).
% 62.50/8.38 fof(f92,plain,(
% 62.50/8.38 ![X0,X1]: (join(X0,join(X1,X0))=join(X0,X1))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f18,f86])).
% 62.50/8.38 fof(f103,plain,(
% 62.50/8.38 join(b,sF8_fnc)=sF8_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f16,f79])).
% 62.50/8.38 fof(f130,plain,(
% 62.50/8.38 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(meet(X0,X1),X2))))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f13,f17])).
% 62.50/8.38 fof(f131,plain,(
% 62.50/8.38 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f15,f17])).
% 62.50/8.38 fof(f137,plain,(
% 62.50/8.38 ![X0]: (meet(sF5_fnc,X0)=meet(c,meet(sF6_fnc,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f28,f17])).
% 62.50/8.38 fof(f143,plain,(
% 62.50/8.38 ![X0]: (meet(sF7_fnc,X0)=meet(a,meet(sF8_fnc,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f25,f17])).
% 62.50/8.38 fof(f145,plain,(
% 62.50/8.38 ![X0]: (meet(sF2_fnc,X0)=meet(a,meet(c,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f21,f17])).
% 62.50/8.38 fof(f149,plain,(
% 62.50/8.38 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f11,f17])).
% 62.50/8.38 fof(f160,plain,(
% 62.50/8.38 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f16,f18])).
% 62.50/8.38 fof(f179,plain,(
% 62.50/8.38 ![X0]: (join(sF6_fnc,X0)=join(sF7_fnc,join(sF9_fnc,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f27,f18])).
% 62.50/8.38 fof(f181,plain,(
% 62.50/8.38 ![X0]: (join(sF4_fnc,X0)=join(b,join(sF5_fnc,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f29,f18])).
% 62.50/8.38 fof(f183,plain,(
% 62.50/8.38 ![X0]: (join(sF1_fnc,X0)=join(b,join(sF2_fnc,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f22,f18])).
% 62.50/8.38 fof(f188,plain,(
% 62.50/8.38 ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f12,f18])).
% 62.50/8.38 fof(f247,plain,(
% 62.50/8.38 ![X0,X1]: (meet(X0,join(b,meet(X1,join(X0,c))))=meet(X0,join(b,join(meet(X0,X1),meet(X1,sF8_fnc)))))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f24,f19])).
% 62.50/8.38 fof(f327,plain,(
% 62.50/8.38 meet(sF5_fnc,sF7_fnc)=meet(c,sF7_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f50,f137])).
% 62.50/8.38 fof(f372,plain,(
% 62.50/8.38 meet(c,sF6_fnc)=meet(c,sF5_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f28,f149])).
% 62.50/8.38 fof(f380,plain,(
% 62.50/8.38 meet(a,c)=meet(a,sF2_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f21,f149])).
% 62.50/8.38 fof(f403,plain,(
% 62.50/8.38 sF5_fnc=meet(c,sF5_fnc)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f28,f372])).
% 62.50/8.38 fof(f411,plain,(
% 62.50/8.38 sF2_fnc=meet(a,sF2_fnc)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f21,f380])).
% 62.50/8.38 fof(f463,plain,(
% 62.50/8.38 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f18,f64])).
% 62.50/8.38 fof(f485,plain,(
% 62.50/8.38 meet(sF5_fnc,sF4_fnc)=sF5_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f29,f64])).
% 62.50/8.38 fof(f486,plain,(
% 62.50/8.38 meet(c,sF8_fnc)=c),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f24,f64])).
% 62.50/8.38 fof(f494,plain,(
% 62.50/8.38 ![X0]: (meet(sF5_fnc,join(X0,sF6_fnc))=meet(c,sF6_fnc))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f64,f137])).
% 62.50/8.38 fof(f504,plain,(
% 62.50/8.38 ![X0]: (meet(sF5_fnc,join(X0,sF6_fnc))=sF5_fnc)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f28,f494])).
% 62.50/8.38 fof(f766,plain,(
% 62.50/8.38 join(sF4_fnc,sF5_fnc)=sF4_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f485,f57])).
% 62.50/8.38 fof(f777,plain,(
% 62.50/8.38 join(sF8_fnc,c)=sF8_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f486,f57])).
% 62.50/8.38 fof(f807,plain,(
% 62.50/8.38 join(c,sF8_fnc)=sF8_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f16,f777])).
% 62.50/8.38 fof(f889,plain,(
% 62.50/8.38 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f11,f131])).
% 62.50/8.38 fof(f1313,plain,(
% 62.50/8.38 join(c,sF8_fnc)=join(c,b)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f24,f92])).
% 62.50/8.38 fof(f1337,plain,(
% 62.50/8.38 sF8_fnc=join(c,b)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f807,f1313])).
% 62.50/8.38 fof(f1388,plain,(
% 62.50/8.38 join(sF7_fnc,sF9_fnc)=join(sF7_fnc,sF6_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f27,f188])).
% 62.50/8.38 fof(f1440,plain,(
% 62.50/8.38 sF6_fnc=join(sF7_fnc,sF6_fnc)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f27,f1388])).
% 62.50/8.38 fof(f1533,plain,(
% 62.50/8.38 ![X0,X1,X2,X3]: (meet(X0,X1)=meet(X1,meet(join(X2,join(X3,X1)),X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f463,f131])).
% 62.50/8.38 fof(f1534,plain,(
% 62.50/8.38 ![X0,X1,X2,X3]: (meet(X0,join(X1,join(X2,X0)))=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f463,f130])).
% 62.50/8.38 fof(f1575,plain,(
% 62.50/8.38 ![X0,X1,X2,X3]: (X0=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f463,f1534])).
% 62.50/8.38 fof(f1579,plain,(
% 62.50/8.38 ![X0,X1]: (X0=meet(join(X0,X1),X0))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f1533,f1575])).
% 62.50/8.38 fof(f1610,plain,(
% 62.50/8.38 c=meet(sF8_fnc,c)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1337,f1579])).
% 62.50/8.38 fof(f1725,plain,(
% 62.50/8.38 meet(sF2_fnc,sF8_fnc)=meet(a,c)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f486,f145])).
% 62.50/8.38 fof(f1726,plain,(
% 62.50/8.38 meet(sF2_fnc,sF5_fnc)=meet(a,sF5_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f403,f145])).
% 62.50/8.38 fof(f1754,plain,(
% 62.50/8.38 meet(sF2_fnc,sF8_fnc)=sF2_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f21,f1725])).
% 62.50/8.38 fof(f1813,plain,(
% 62.50/8.38 meet(sF7_fnc,c)=meet(a,c)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1610,f143])).
% 62.50/8.38 fof(f1824,plain,(
% 62.50/8.38 meet(sF7_fnc,c)=sF2_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f21,f1813])).
% 62.50/8.38 fof(f1862,plain,(
% 62.50/8.38 join(sF8_fnc,sF2_fnc)=sF8_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1754,f57])).
% 62.50/8.38 fof(f1868,plain,(
% 62.50/8.38 meet(c,sF7_fnc)=sF2_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f15,f1824])).
% 62.50/8.38 fof(f1879,plain,(
% 62.50/8.38 join(sF7_fnc,sF2_fnc)=sF7_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1824,f14])).
% 62.50/8.38 fof(f1880,plain,(
% 62.50/8.38 meet(sF5_fnc,sF7_fnc)=sF2_fnc),
% 62.50/8.38 inference(backward_demodulation,[status(thm)],[f1868,f327])).
% 62.50/8.38 fof(f1894,plain,(
% 62.50/8.38 join(sF2_fnc,sF8_fnc)=sF8_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f16,f1862])).
% 62.50/8.38 fof(f1940,plain,(
% 62.50/8.38 join(sF2_fnc,sF7_fnc)=sF7_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f16,f1879])).
% 62.50/8.38 fof(f1957,plain,(
% 62.50/8.38 meet(sF5_fnc,sF7_fnc)=meet(sF5_fnc,sF2_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1880,f149])).
% 62.50/8.38 fof(f1961,plain,(
% 62.50/8.38 join(sF5_fnc,sF2_fnc)=sF5_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1880,f14])).
% 62.50/8.38 fof(f1964,plain,(
% 62.50/8.38 sF2_fnc=meet(sF5_fnc,sF2_fnc)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f1880,f1957])).
% 62.50/8.38 fof(f2011,plain,(
% 62.50/8.38 sF2_fnc=meet(sF2_fnc,sF5_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f15,f1964])).
% 62.50/8.38 fof(f2023,plain,(
% 62.50/8.38 sF2_fnc=meet(a,sF5_fnc)),
% 62.50/8.38 inference(backward_demodulation,[status(thm)],[f2011,f1726])).
% 62.50/8.38 fof(f2677,plain,(
% 62.50/8.38 join(sF2_fnc,sF5_fnc)=sF5_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f16,f1961])).
% 62.50/8.38 fof(f3363,plain,(
% 62.50/8.38 ![X0]: (join(X0,sF6_fnc)=join(sF7_fnc,join(sF6_fnc,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1440,f160])).
% 62.50/8.38 fof(f3382,plain,(
% 62.50/8.38 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,X0)))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f12,f160])).
% 62.50/8.38 fof(f3613,plain,(
% 62.50/8.38 meet(sF5_fnc,a)=meet(a,sF2_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f2023,f889])).
% 62.50/8.38 fof(f3746,plain,(
% 62.50/8.38 meet(sF5_fnc,a)=sF2_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f411,f3613])).
% 62.50/8.38 fof(f4301,plain,(
% 62.50/8.38 join(sF5_fnc,sF4_fnc)=join(sF4_fnc,sF4_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f766,f3382])).
% 62.50/8.38 fof(f4324,plain,(
% 62.50/8.38 join(sF5_fnc,c)=join(c,c)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f38,f3382])).
% 62.50/8.38 fof(f4333,plain,(
% 62.50/8.38 join(sF9_fnc,b)=join(b,b)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f42,f3382])).
% 62.50/8.38 fof(f4343,plain,(
% 62.50/8.38 ![X0,X1]: (join(meet(X0,X1),X1)=join(X1,X1))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f57,f3382])).
% 62.50/8.38 fof(f4399,plain,(
% 62.50/8.38 join(sF5_fnc,sF4_fnc)=sF4_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f12,f4301])).
% 62.50/8.38 fof(f4424,plain,(
% 62.50/8.38 join(sF5_fnc,c)=c),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f12,f4324])).
% 62.50/8.38 fof(f4434,plain,(
% 62.50/8.38 join(sF9_fnc,b)=b),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f12,f4333])).
% 62.50/8.38 fof(f4447,plain,(
% 62.50/8.38 ![X0,X1]: (join(meet(X0,X1),X1)=X1)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f12,f4343])).
% 62.50/8.38 fof(f4731,plain,(
% 62.50/8.38 join(sF1_fnc,sF5_fnc)=join(b,sF5_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f2677,f183])).
% 62.50/8.38 fof(f4732,plain,(
% 62.50/8.38 join(sF1_fnc,sF7_fnc)=join(b,sF7_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1940,f183])).
% 62.50/8.38 fof(f4733,plain,(
% 62.50/8.38 join(sF1_fnc,sF8_fnc)=join(b,sF8_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f1894,f183])).
% 62.50/8.38 fof(f4773,plain,(
% 62.50/8.38 join(sF1_fnc,sF5_fnc)=sF4_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f29,f4731])).
% 62.50/8.38 fof(f4774,plain,(
% 62.50/8.38 join(sF1_fnc,sF8_fnc)=sF8_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f103,f4733])).
% 62.50/8.38 fof(f5325,plain,(
% 62.50/8.38 join(sF4_fnc,c)=join(b,c)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f4424,f181])).
% 62.50/8.38 fof(f5345,plain,(
% 62.50/8.38 join(sF4_fnc,c)=sF8_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f24,f5325])).
% 62.50/8.38 fof(f5395,plain,(
% 62.50/8.38 join(sF6_fnc,b)=join(sF7_fnc,b)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f4434,f179])).
% 62.50/8.38 fof(f5554,plain,(
% 62.50/8.38 join(sF5_fnc,sF4_fnc)=join(sF5_fnc,sF1_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f4773,f92])).
% 62.50/8.38 fof(f5567,plain,(
% 62.50/8.38 sF4_fnc=join(sF5_fnc,sF1_fnc)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f4399,f5554])).
% 62.50/8.38 fof(f5577,plain,(
% 62.50/8.38 sF1_fnc=meet(sF8_fnc,sF1_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f4774,f1579])).
% 62.50/8.38 fof(f6180,plain,(
% 62.50/8.38 sF4_fnc=meet(sF8_fnc,sF4_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f5345,f1579])).
% 62.50/8.38 fof(f8215,plain,(
% 62.50/8.38 meet(sF7_fnc,sF1_fnc)=meet(a,sF1_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f5577,f143])).
% 62.50/8.38 fof(f8233,plain,(
% 62.50/8.38 meet(sF7_fnc,sF1_fnc)=sF0_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f23,f8215])).
% 62.50/8.38 fof(f8938,plain,(
% 62.50/8.38 meet(sF7_fnc,sF4_fnc)=meet(a,sF4_fnc)),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f6180,f143])).
% 62.50/8.38 fof(f8956,plain,(
% 62.50/8.38 meet(sF7_fnc,sF4_fnc)=sF3_fnc),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f30,f8938])).
% 62.50/8.38 fof(f9086,plain,(
% 62.50/8.38 meet(sF1_fnc,sF7_fnc)=sF0_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f15,f8233])).
% 62.50/8.38 fof(f10356,plain,(
% 62.50/8.38 meet(sF4_fnc,sF7_fnc)=sF3_fnc),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f15,f8956])).
% 62.50/8.38 fof(f13214,plain,(
% 62.50/8.38 meet(sF5_fnc,join(b,meet(a,join(sF5_fnc,c))))=meet(sF5_fnc,join(b,join(sF2_fnc,meet(a,sF8_fnc))))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f3746,f247])).
% 62.50/8.38 fof(f13533,plain,(
% 62.50/8.38 meet(sF5_fnc,join(b,meet(a,c)))=meet(sF5_fnc,join(b,join(sF2_fnc,meet(a,sF8_fnc))))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f4424,f13214])).
% 62.50/8.38 fof(f13534,plain,(
% 62.50/8.38 meet(sF5_fnc,join(b,sF2_fnc))=meet(sF5_fnc,join(b,join(sF2_fnc,meet(a,sF8_fnc))))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f21,f13533])).
% 62.50/8.38 fof(f13535,plain,(
% 62.50/8.38 meet(sF5_fnc,sF1_fnc)=meet(sF5_fnc,join(b,join(sF2_fnc,meet(a,sF8_fnc))))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f22,f13534])).
% 62.50/8.38 fof(f13536,plain,(
% 62.50/8.38 meet(sF5_fnc,sF1_fnc)=meet(sF5_fnc,join(sF1_fnc,meet(a,sF8_fnc)))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f183,f13535])).
% 62.50/8.38 fof(f13537,plain,(
% 62.50/8.38 meet(sF5_fnc,sF1_fnc)=meet(sF5_fnc,join(sF1_fnc,sF7_fnc))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f25,f13536])).
% 62.50/8.38 fof(f13538,plain,(
% 62.50/8.38 meet(sF5_fnc,sF1_fnc)=meet(sF5_fnc,join(b,sF7_fnc))),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f4732,f13537])).
% 62.50/8.38 fof(f19515,plain,(
% 62.50/8.38 join(b,sF7_fnc)=join(sF7_fnc,join(sF6_fnc,b))),
% 62.50/8.38 inference(paramodulation,[status(thm)],[f5395,f3382])).
% 62.50/8.38 fof(f19609,plain,(
% 62.50/8.38 meet(sF5_fnc,sF1_fnc)=meet(sF5_fnc,join(b,sF6_fnc))),
% 62.50/8.38 inference(backward_demodulation,[status(thm)],[f19614,f13538])).
% 62.50/8.38 fof(f19614,plain,(
% 62.50/8.38 join(b,sF7_fnc)=join(b,sF6_fnc)),
% 62.50/8.38 inference(forward_demodulation,[status(thm)],[f3363,f19515])).
% 62.50/8.38 fof(f19660,plain,(
% 62.50/8.38 meet(sF5_fnc,sF1_fnc)=sF5_fnc),
% 61.32/8.51 inference(forward_demodulation,[status(thm)],[f504,f19609])).
% 61.32/8.51 fof(f19703,plain,(
% 61.32/8.51 join(sF5_fnc,sF1_fnc)=sF1_fnc),
% 61.32/8.51 inference(paramodulation,[status(thm)],[f19660,f4447])).
% 61.32/8.51 fof(f19729,plain,(
% 61.32/8.51 sF4_fnc=sF1_fnc),
% 61.32/8.51 inference(backward_demodulation,[status(thm)],[f19703,f5567])).
% 61.32/8.51 fof(f19748,plain,(
% 61.32/8.51 meet(sF1_fnc,sF7_fnc)=sF3_fnc),
% 61.32/8.51 inference(backward_demodulation,[status(thm)],[f19729,f10356])).
% 61.32/8.51 fof(f20281,plain,(
% 61.32/8.51 sF0_fnc=sF3_fnc),
% 61.32/8.51 inference(forward_demodulation,[status(thm)],[f9086,f19748])).
% 61.32/8.51 fof(f20282,plain,(
% 61.32/8.51 $false),
% 61.32/8.51 inference(forward_subsumption_resolution,[status(thm)],[f20281,f31])).
% 61.32/8.51 % SZS output end CNFRefutation for theBenchmark.p
% 6.15/8.53 % Elapsed time: 8.148616 seconds
% 6.15/8.53 % CPU time: 64.077685 seconds
% 6.15/8.53 % Total memory used: 375.115 MB
% 6.15/8.53 % Net memory used: 369.977 MB
%------------------------------------------------------------------------------