%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT175-1 : 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 : n010.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 01:03:19 PM UTC 2026
% Result : Unsatisfiable 252.90s 32.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT175-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n010.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 20 23:17:54 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 252.90/32.45 % Refutation found
% 252.90/32.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 252.90/32.45 % SZS output start CNFRefutation for theBenchmark
% 252.90/32.45 fof(f1,axiom,(
% 252.90/32.45 (![X]: (meet(X,X) = X ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f2,axiom,(
% 252.90/32.45 (![X]: (join(X,X) = X ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f3,axiom,(
% 252.90/32.45 (![X,Y]: (meet(X,join(X,Y)) = X ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f4,axiom,(
% 252.90/32.45 (![X,Y]: (join(X,meet(X,Y)) = X ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f5,axiom,(
% 252.90/32.45 (![X,Y]: (meet(X,Y) = meet(Y,X) ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f6,axiom,(
% 252.90/32.45 (![X,Y]: (join(X,Y) = join(Y,X) ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f7,axiom,(
% 252.90/32.45 (![X,Y,Z]: (meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f8,axiom,(
% 252.90/32.45 (![X,Y,Z]: (join(join(X,Y),Z) = join(X,join(Y,Z)) ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f9,axiom,(
% 252.90/32.45 (![X,Y,Z,U]: (join(X,meet(Y,join(Z,meet(X,U)))) = join(X,meet(join(X,meet(Y,join(X,Z))),join(Z,U))) ))),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f10,negated_conjecture,(
% 252.90/32.45 meet(a,join(b,meet(a,meet(c,d)))) != meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))) ),
% 252.90/32.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 252.90/32.45 fof(f11,plain,(
% 252.90/32.45 ![X0]: (meet(X0,X0)=X0)),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f1])).
% 252.90/32.45 fof(f12,plain,(
% 252.90/32.45 ![X0]: (join(X0,X0)=X0)),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f2])).
% 252.90/32.45 fof(f13,plain,(
% 252.90/32.45 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f3])).
% 252.90/32.45 fof(f14,plain,(
% 252.90/32.45 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f4])).
% 252.90/32.45 fof(f15,plain,(
% 252.90/32.45 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f5])).
% 252.90/32.45 fof(f16,plain,(
% 252.90/32.45 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f6])).
% 252.90/32.45 fof(f17,plain,(
% 252.90/32.45 ![X0,X1,X2]: (meet(meet(X0,X1),X2)=meet(X0,meet(X1,X2)))),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f7])).
% 252.90/32.45 fof(f18,plain,(
% 252.90/32.45 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X0,join(X1,X2)))),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f8])).
% 252.90/32.45 fof(f19,plain,(
% 252.90/32.45 ![X0,X1,X2,X3]: (join(X0,meet(X1,join(X2,meet(X0,X3))))=join(X0,meet(join(X0,meet(X1,join(X0,X2))),join(X2,X3))))),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f9])).
% 252.90/32.45 fof(f20,plain,(
% 252.90/32.45 ~meet(a,join(b,meet(a,meet(c,d))))=meet(a,join(b,meet(c,join(meet(a,d),meet(b,d)))))),
% 252.90/32.45 inference(cnf_transformation,[status(thm)],[f10])).
% 252.90/32.45 fof(f21,definition,(
% 252.90/32.45 sF3_fnc=meet(c,d)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 252.90/32.45 fof(f22,definition,(
% 252.90/32.45 sF2_fnc=meet(a,sF3_fnc)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 252.90/32.45 fof(f23,definition,(
% 252.90/32.45 sF1_fnc=join(b,sF2_fnc)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 252.90/32.45 fof(f24,definition,(
% 252.90/32.45 sF0_fnc=meet(a,sF1_fnc)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 252.90/32.45 fof(f25,definition,(
% 252.90/32.45 sF8_fnc=meet(a,d)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition])).
% 252.90/32.45 fof(f26,definition,(
% 252.90/32.45 sF9_fnc=meet(b,d)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition])).
% 252.90/32.45 fof(f27,definition,(
% 252.90/32.45 sF7_fnc=join(sF8_fnc,sF9_fnc)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 252.90/32.45 fof(f28,definition,(
% 252.90/32.45 sF6_fnc=meet(c,sF7_fnc)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 252.90/32.45 fof(f29,definition,(
% 252.90/32.45 sF5_fnc=join(b,sF6_fnc)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 252.90/32.45 fof(f30,definition,(
% 252.90/32.45 sF4_fnc=meet(a,sF5_fnc)),
% 252.90/32.45 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 252.90/32.45 fof(f31,plain,(
% 252.90/32.45 ~sF0_fnc=sF4_fnc),
% 252.90/32.45 inference(definition_folding,[],[f20,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21])).
% 252.90/32.46 fof(f32,plain,(
% 252.90/32.46 meet(sF8_fnc,sF7_fnc)=sF8_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f27,f13])).
% 252.90/32.46 fof(f34,plain,(
% 252.90/32.46 meet(b,sF1_fnc)=b),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f23,f13])).
% 252.90/32.46 fof(f39,plain,(
% 252.90/32.46 join(b,sF9_fnc)=b),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f26,f14])).
% 252.90/32.46 fof(f41,plain,(
% 252.90/32.46 join(a,sF8_fnc)=a),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f25,f14])).
% 252.90/32.46 fof(f43,plain,(
% 252.90/32.46 join(a,sF2_fnc)=a),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f22,f14])).
% 252.90/32.46 fof(f50,plain,(
% 252.90/32.46 sF8_fnc=meet(sF7_fnc,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f32,f15])).
% 252.90/32.46 fof(f57,plain,(
% 252.90/32.46 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f15,f14])).
% 252.90/32.46 fof(f64,plain,(
% 252.90/32.46 ![X0,X1]: (meet(X0,join(X1,X0))=X0)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f13])).
% 252.90/32.46 fof(f77,plain,(
% 252.90/32.46 join(sF1_fnc,b)=sF1_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f34,f57])).
% 252.90/32.46 fof(f79,plain,(
% 252.90/32.46 join(d,sF9_fnc)=d),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f26,f57])).
% 252.90/32.46 fof(f81,plain,(
% 252.90/32.46 join(d,sF8_fnc)=d),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f25,f57])).
% 252.90/32.46 fof(f82,plain,(
% 252.90/32.46 join(sF1_fnc,sF0_fnc)=sF1_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f24,f57])).
% 252.90/32.46 fof(f85,plain,(
% 252.90/32.46 join(d,sF3_fnc)=d),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f21,f57])).
% 252.90/32.46 fof(f86,plain,(
% 252.90/32.46 ![X0,X1]: (join(join(X0,X1),X0)=join(X0,X1))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f13,f57])).
% 252.90/32.46 fof(f92,plain,(
% 252.90/32.46 ![X0,X1]: (join(X0,join(X1,X0))=join(X0,X1))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f18,f86])).
% 252.90/32.46 fof(f126,plain,(
% 252.90/32.46 ![X0,X1,X2]: (meet(X0,X1)=meet(X0,meet(X1,join(meet(X0,X1),X2))))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f13,f17])).
% 252.90/32.46 fof(f127,plain,(
% 252.90/32.46 ![X0,X1,X2]: (meet(X0,meet(X1,X2))=meet(X1,meet(X2,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f15,f17])).
% 252.90/32.46 fof(f136,plain,(
% 252.90/32.46 ![X0]: (meet(sF4_fnc,X0)=meet(a,meet(sF5_fnc,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f30,f17])).
% 252.90/32.46 fof(f137,plain,(
% 252.90/32.46 ![X0]: (meet(sF8_fnc,X0)=meet(a,meet(d,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f25,f17])).
% 252.90/32.46 fof(f140,plain,(
% 252.90/32.46 ![X0]: (meet(sF6_fnc,X0)=meet(c,meet(sF7_fnc,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f28,f17])).
% 252.90/32.46 fof(f141,plain,(
% 252.90/32.46 ![X0]: (meet(sF3_fnc,X0)=meet(c,meet(d,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f21,f17])).
% 252.90/32.46 fof(f145,plain,(
% 252.90/32.46 ![X0,X1]: (meet(X0,X1)=meet(X0,meet(X0,X1)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f11,f17])).
% 252.90/32.46 fof(f147,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,meet(X1,meet(X2,X0)))=X0)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f17,f57])).
% 252.90/32.46 fof(f154,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,X1)=join(X0,join(X1,meet(X2,join(X0,X1)))))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f57,f18])).
% 252.90/32.46 fof(f156,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X1,join(X2,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f18])).
% 252.90/32.46 fof(f174,plain,(
% 252.90/32.46 ![X0]: (join(a,X0)=join(a,join(sF8_fnc,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f41,f18])).
% 252.90/32.46 fof(f176,plain,(
% 252.90/32.46 ![X0]: (join(sF7_fnc,X0)=join(sF8_fnc,join(sF9_fnc,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f27,f18])).
% 252.90/32.46 fof(f179,plain,(
% 252.90/32.46 ![X0]: (join(sF1_fnc,X0)=join(b,join(sF2_fnc,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f23,f18])).
% 252.90/32.46 fof(f182,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(join(X0,X1),X2)=join(X1,join(X0,X2)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f18])).
% 252.90/32.46 fof(f184,plain,(
% 252.90/32.46 ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f12,f18])).
% 252.90/32.46 fof(f189,plain,(
% 252.90/32.46 ![X0,X1,X2]: (meet(join(X0,X1),join(X0,join(X1,X2)))=join(X0,X1))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f18,f13])).
% 252.90/32.46 fof(f257,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (join(X0,meet(X1,join(X2,meet(X0,meet(X3,X2)))))=join(X0,meet(join(X0,meet(X1,join(X0,X2))),X2)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f57,f19])).
% 252.90/32.46 fof(f349,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,meet(X1,X2))=join(X0,meet(join(X0,meet(X1,join(X0,X2))),X2)))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f147,f257])).
% 252.90/32.46 fof(f445,plain,(
% 252.90/32.46 meet(a,sF5_fnc)=meet(a,sF4_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f30,f145])).
% 252.90/32.46 fof(f446,plain,(
% 252.90/32.46 meet(a,d)=meet(a,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f25,f145])).
% 252.90/32.46 fof(f475,plain,(
% 252.90/32.46 sF4_fnc=meet(a,sF4_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f30,f445])).
% 252.90/32.46 fof(f476,plain,(
% 252.90/32.46 sF8_fnc=meet(a,sF8_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f25,f446])).
% 252.90/32.46 fof(f510,plain,(
% 252.90/32.46 ![X0,X1,X2]: (meet(X0,join(X1,join(X2,X0)))=X0)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f18,f64])).
% 252.90/32.46 fof(f512,plain,(
% 252.90/32.46 meet(sF3_fnc,d)=sF3_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f85,f64])).
% 252.90/32.46 fof(f513,plain,(
% 252.90/32.46 meet(sF8_fnc,d)=sF8_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f81,f64])).
% 252.90/32.46 fof(f702,plain,(
% 252.90/32.46 meet(d,sF3_fnc)=sF3_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f15,f512])).
% 252.90/32.46 fof(f714,plain,(
% 252.90/32.46 meet(d,sF8_fnc)=sF8_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f15,f513])).
% 252.90/32.46 fof(f932,plain,(
% 252.90/32.46 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f11,f127])).
% 252.90/32.46 fof(f1151,plain,(
% 252.90/32.46 meet(sF8_fnc,sF3_fnc)=meet(a,sF3_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f702,f137])).
% 252.90/32.46 fof(f1160,plain,(
% 252.90/32.46 meet(sF8_fnc,sF3_fnc)=sF2_fnc),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f22,f1151])).
% 252.90/32.46 fof(f1163,plain,(
% 252.90/32.46 meet(sF3_fnc,sF8_fnc)=sF2_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f15,f1160])).
% 252.90/32.46 fof(f1173,plain,(
% 252.90/32.46 join(sF8_fnc,sF2_fnc)=sF8_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f1160,f14])).
% 252.90/32.46 fof(f1177,plain,(
% 252.90/32.46 join(sF2_fnc,sF8_fnc)=sF8_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f1173])).
% 252.90/32.46 fof(f1567,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (meet(X0,X1)=meet(X1,meet(join(X2,join(X3,X1)),X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f510,f127])).
% 252.90/32.46 fof(f1568,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (meet(X0,join(X1,join(X2,X0)))=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f510,f126])).
% 252.90/32.46 fof(f1587,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (X0=meet(X0,meet(join(X1,join(X2,X0)),join(X0,X3))))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f510,f1568])).
% 252.90/32.46 fof(f1591,plain,(
% 252.90/32.46 ![X0,X1]: (X0=meet(join(X0,X1),X0))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f1567,f1587])).
% 252.90/32.46 fof(f1648,plain,(
% 252.90/32.46 meet(sF6_fnc,sF8_fnc)=meet(c,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f50,f140])).
% 252.90/32.46 fof(f1807,plain,(
% 252.90/32.46 ![X0,X1]: (X0=meet(join(X1,X0),X0))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f1591])).
% 252.90/32.46 fof(f1918,plain,(
% 252.90/32.46 ![X0,X1,X2]: (X0=meet(join(X1,join(X2,X0)),X0))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f18,f1807])).
% 252.90/32.46 fof(f1961,plain,(
% 252.90/32.46 ![X0,X1,X2]: (meet(X0,X1)=meet(join(X2,X1),meet(X1,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f1807,f127])).
% 252.90/32.46 fof(f2035,plain,(
% 252.90/32.46 meet(sF5_fnc,a)=meet(a,sF4_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f30,f932])).
% 252.90/32.46 fof(f2144,plain,(
% 252.90/32.46 meet(sF5_fnc,a)=sF4_fnc),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f475,f2035])).
% 252.90/32.46 fof(f2261,plain,(
% 252.90/32.46 meet(sF3_fnc,sF8_fnc)=meet(c,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f714,f141])).
% 252.90/32.46 fof(f2289,plain,(
% 252.90/32.46 meet(sF6_fnc,sF8_fnc)=sF2_fnc),
% 252.90/32.46 inference(backward_demodulation,[status(thm)],[f2290,f1648])).
% 252.90/32.46 fof(f2290,plain,(
% 252.90/32.46 sF2_fnc=meet(c,sF8_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f1163,f2261])).
% 252.90/32.46 fof(f2668,plain,(
% 252.90/32.46 join(sF6_fnc,sF2_fnc)=sF6_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f2289,f14])).
% 252.90/32.46 fof(f2775,plain,(
% 252.90/32.46 join(sF2_fnc,sF6_fnc)=sF6_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f2668])).
% 252.90/32.46 fof(f3007,plain,(
% 252.90/32.46 ![X0]: (sF0_fnc=meet(join(X0,sF1_fnc),sF0_fnc))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f82,f1918])).
% 252.90/32.46 fof(f4429,plain,(
% 252.90/32.46 ![X0]: (join(X0,sF1_fnc)=join(sF1_fnc,join(b,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f77,f156])).
% 252.90/32.46 fof(f4456,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,X1)=join(X1,join(meet(X2,X1),X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f57,f156])).
% 252.90/32.46 fof(f4460,plain,(
% 252.90/32.46 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f12,f156])).
% 252.90/32.46 fof(f4467,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X2,X0),X1))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f156])).
% 252.90/32.46 fof(f4720,plain,(
% 252.90/32.46 join(sF1_fnc,sF6_fnc)=join(b,sF6_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f2775,f179])).
% 252.90/32.46 fof(f4721,plain,(
% 252.90/32.46 join(sF1_fnc,sF8_fnc)=join(b,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f1177,f179])).
% 252.90/32.46 fof(f4764,plain,(
% 252.90/32.46 join(sF1_fnc,sF6_fnc)=sF5_fnc),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f29,f4720])).
% 252.90/32.46 fof(f4901,plain,(
% 252.90/32.46 sF1_fnc=meet(sF5_fnc,sF1_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f4764,f1591])).
% 252.90/32.46 fof(f5005,plain,(
% 252.90/32.46 meet(sF4_fnc,sF1_fnc)=meet(a,sF1_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f4901,f136])).
% 252.90/32.46 fof(f5019,plain,(
% 252.90/32.46 meet(sF4_fnc,sF1_fnc)=sF0_fnc),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f24,f5005])).
% 252.90/32.46 fof(f5042,plain,(
% 252.90/32.46 meet(sF1_fnc,sF4_fnc)=sF0_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f15,f5019])).
% 252.90/32.46 fof(f5113,plain,(
% 252.90/32.46 ![X0]: (meet(X0,sF0_fnc)=meet(sF1_fnc,meet(sF4_fnc,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f5042,f127])).
% 252.90/32.46 fof(f5864,plain,(
% 252.90/32.46 join(sF8_fnc,d)=join(d,d)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f81,f4460])).
% 252.90/32.46 fof(f5865,plain,(
% 252.90/32.46 join(sF9_fnc,d)=join(d,d)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f79,f4460])).
% 252.90/32.46 fof(f5883,plain,(
% 252.90/32.46 join(sF2_fnc,a)=join(a,a)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f43,f4460])).
% 252.90/32.46 fof(f5897,plain,(
% 252.90/32.46 join(sF9_fnc,b)=join(b,b)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f39,f4460])).
% 252.90/32.46 fof(f5908,plain,(
% 252.90/32.46 ![X0,X1]: (join(meet(X0,X1),X1)=join(X1,X1))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f57,f4460])).
% 252.90/32.46 fof(f5989,plain,(
% 252.90/32.46 join(sF8_fnc,d)=d),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f12,f5864])).
% 252.90/32.46 fof(f5990,plain,(
% 252.90/32.46 join(sF9_fnc,d)=d),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f12,f5865])).
% 252.90/32.46 fof(f6008,plain,(
% 252.90/32.46 join(sF2_fnc,a)=a),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f12,f5883])).
% 252.90/32.46 fof(f6025,plain,(
% 252.90/32.46 join(sF9_fnc,b)=b),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f12,f5897])).
% 252.90/32.46 fof(f6041,plain,(
% 252.90/32.46 ![X0,X1]: (join(meet(X0,X1),X1)=X1)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f12,f5908])).
% 252.90/32.46 fof(f6359,plain,(
% 252.90/32.46 join(sF1_fnc,a)=join(b,a)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f6008,f179])).
% 252.90/32.46 fof(f6466,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (meet(join(X0,join(X1,X2)),join(X1,join(join(X2,X0),X3)))=join(X1,join(X2,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f156,f189])).
% 252.90/32.46 fof(f6477,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (meet(join(join(X0,X1),X2),join(X0,join(X1,join(X2,X3))))=join(join(X0,X1),X2))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f18,f189])).
% 252.90/32.46 fof(f6696,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (meet(join(X0,join(X1,X2)),join(X1,join(X0,join(X2,X3))))=join(X1,join(X2,X0)))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f182,f6466])).
% 252.90/32.46 fof(f6708,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (meet(join(X0,join(X1,X2)),join(X1,join(X0,join(X2,X3))))=join(join(X1,X0),X2))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f182,f6477])).
% 252.90/32.46 fof(f6709,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X2),X1))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f6696,f6708])).
% 252.90/32.46 fof(f8372,plain,(
% 252.90/32.46 join(sF7_fnc,d)=join(sF8_fnc,d)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f5990,f176])).
% 252.90/32.46 fof(f8402,plain,(
% 252.90/32.46 join(sF7_fnc,d)=d),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f5989,f8372])).
% 252.90/32.46 fof(f8426,plain,(
% 252.90/32.46 sF7_fnc=meet(d,sF7_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f8402,f1591])).
% 252.90/32.46 fof(f8443,plain,(
% 252.90/32.46 meet(sF8_fnc,sF7_fnc)=meet(a,sF7_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f8426,f137])).
% 252.90/32.46 fof(f8459,plain,(
% 252.90/32.46 sF8_fnc=meet(a,sF7_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f32,f8443])).
% 252.90/32.46 fof(f8517,plain,(
% 252.90/32.46 meet(sF7_fnc,a)=meet(a,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f8459,f932])).
% 252.90/32.46 fof(f8528,plain,(
% 252.90/32.46 meet(sF7_fnc,a)=sF8_fnc),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f476,f8517])).
% 252.90/32.46 fof(f8694,plain,(
% 252.90/32.46 meet(sF6_fnc,a)=meet(c,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f8528,f140])).
% 252.90/32.46 fof(f8709,plain,(
% 252.90/32.46 meet(sF6_fnc,a)=sF2_fnc),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f2290,f8694])).
% 252.90/32.46 fof(f10390,plain,(
% 252.90/32.46 join(sF7_fnc,b)=join(sF8_fnc,b)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f6025,f176])).
% 252.90/32.46 fof(f10940,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(X0,X1)=join(meet(X2,X1),join(X1,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f6041,f156])).
% 252.90/32.46 fof(f13596,plain,(
% 252.90/32.46 join(sF1_fnc,sF8_fnc)=join(sF1_fnc,join(b,sF8_fnc))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f4721,f184])).
% 252.90/32.46 fof(f13597,plain,(
% 252.90/32.46 join(sF8_fnc,join(b,sF8_fnc))=join(sF8_fnc,sF1_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f4721,f92])).
% 252.90/32.46 fof(f13608,plain,(
% 252.90/32.46 join(b,sF8_fnc)=join(sF1_fnc,join(b,sF8_fnc))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f4721,f13596])).
% 252.90/32.46 fof(f13609,plain,(
% 252.90/32.46 join(b,sF8_fnc)=join(sF8_fnc,sF1_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f4429,f13608])).
% 252.90/32.46 fof(f13610,plain,(
% 252.90/32.46 join(sF8_fnc,b)=join(sF8_fnc,sF1_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f92,f13597])).
% 252.90/32.46 fof(f13611,plain,(
% 252.90/32.46 join(sF7_fnc,b)=join(sF8_fnc,sF1_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f10390,f13610])).
% 252.90/32.46 fof(f13613,plain,(
% 252.90/32.46 join(sF7_fnc,b)=join(b,sF8_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f13609,f13611])).
% 252.90/32.46 fof(f17520,plain,(
% 252.90/32.46 join(a,sF1_fnc)=join(b,a)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f6359])).
% 252.90/32.46 fof(f22259,plain,(
% 252.90/32.46 join(b,sF7_fnc)=join(b,sF8_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f13613])).
% 252.90/32.46 fof(f22306,plain,(
% 252.90/32.46 join(b,sF7_fnc)=join(sF8_fnc,sF1_fnc)),
% 252.90/32.46 inference(backward_demodulation,[status(thm)],[f22259,f13609])).
% 252.90/32.46 fof(f23867,plain,(
% 252.90/32.46 join(a,sF1_fnc)=join(a,b)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f16,f17520])).
% 252.90/32.46 fof(f34402,plain,(
% 252.90/32.46 join(a,sF1_fnc)=join(a,join(b,sF7_fnc))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f22306,f174])).
% 252.90/32.46 fof(f34519,plain,(
% 252.90/32.46 join(a,b)=join(a,join(b,sF7_fnc))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f23867,f34402])).
% 252.90/32.46 fof(f43696,plain,(
% 252.90/32.46 ![X0,X1,X2,X3]: (join(X0,join(X1,X2))=join(X1,join(X2,join(meet(X3,join(X1,X2)),X0))))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f18,f4456])).
% 252.90/32.46 fof(f47051,plain,(
% 252.90/32.46 ![X0,X1,X2]: (join(meet(X0,X1),join(X2,X1))=join(X1,X2))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f57,f4467])).
% 252.90/32.46 fof(f63972,plain,(
% 252.90/32.46 ![X0]: (join(a,join(b,sF7_fnc))=join(a,join(join(b,sF7_fnc),meet(X0,join(a,b)))))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f34519,f154])).
% 252.90/32.46 fof(f64052,plain,(
% 252.90/32.46 ![X0]: (join(a,b)=join(a,join(join(b,sF7_fnc),meet(X0,join(a,b)))))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f34519,f63972])).
% 252.90/32.46 fof(f64053,plain,(
% 252.90/32.46 ![X0]: (join(a,b)=join(a,join(b,join(meet(X0,join(a,b)),sF7_fnc))))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f6709,f64052])).
% 252.90/32.46 fof(f64054,plain,(
% 252.90/32.46 join(a,b)=join(sF7_fnc,join(a,b))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f43696,f64053])).
% 252.90/32.46 fof(f77493,plain,(
% 252.90/32.46 join(a,b)=join(b,join(sF7_fnc,a))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f156,f64054])).
% 252.90/32.46 fof(f81207,plain,(
% 252.90/32.46 ![X0]: (join(join(sF7_fnc,a),b)=join(meet(X0,b),join(a,b)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f77493,f10940])).
% 252.90/32.46 fof(f81289,plain,(
% 252.90/32.46 ![X0]: (join(sF7_fnc,join(b,a))=join(meet(X0,b),join(a,b)))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f6709,f81207])).
% 252.90/32.46 fof(f81293,plain,(
% 252.90/32.46 join(sF7_fnc,join(b,a))=join(b,a)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f47051,f81289])).
% 252.90/32.46 fof(f81510,plain,(
% 252.90/32.46 meet(sF7_fnc,join(b,a))=sF7_fnc),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f81293,f13])).
% 252.90/32.46 fof(f81785,plain,(
% 252.90/32.46 meet(sF6_fnc,join(b,a))=meet(c,sF7_fnc)),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f81510,f140])).
% 252.90/32.46 fof(f81863,plain,(
% 252.90/32.46 meet(sF6_fnc,join(b,a))=sF6_fnc),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f28,f81785])).
% 252.90/32.46 fof(f81927,plain,(
% 252.90/32.46 join(b,meet(sF6_fnc,a))=join(b,meet(join(b,sF6_fnc),a))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f81863,f349])).
% 252.90/32.46 fof(f82003,plain,(
% 252.90/32.46 join(b,sF2_fnc)=join(b,meet(join(b,sF6_fnc),a))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f8709,f81927])).
% 252.90/32.46 fof(f82004,plain,(
% 252.90/32.46 sF1_fnc=join(b,meet(join(b,sF6_fnc),a))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f23,f82003])).
% 252.90/32.46 fof(f82005,plain,(
% 252.90/32.46 sF1_fnc=join(b,meet(sF5_fnc,a))),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f29,f82004])).
% 252.90/32.46 fof(f82203,plain,(
% 252.90/32.46 sF1_fnc=join(b,sF4_fnc)),
% 252.90/32.46 inference(forward_demodulation,[status(thm)],[f2144,f82005])).
% 252.90/32.46 fof(f83232,plain,(
% 252.90/32.46 ![X0]: (meet(X0,sF4_fnc)=meet(sF1_fnc,meet(sF4_fnc,X0)))),
% 252.90/32.46 inference(paramodulation,[status(thm)],[f82203,f1961])).
% 151.41/32.68 fof(f83276,plain,(
% 151.41/32.68 ![X0]: (sF4_fnc=meet(join(X0,sF1_fnc),sF4_fnc))),
% 151.41/32.68 inference(paramodulation,[status(thm)],[f82203,f1918])).
% 151.41/32.68 fof(f83777,plain,(
% 151.41/32.68 ![X0]: (meet(X0,sF4_fnc)=meet(X0,sF0_fnc))),
% 151.41/32.68 inference(forward_demodulation,[status(thm)],[f5113,f83232])).
% 151.41/32.68 fof(f83847,plain,(
% 151.41/32.68 ![X0]: (sF4_fnc=meet(join(X0,sF1_fnc),sF0_fnc))),
% 151.41/32.68 inference(forward_demodulation,[status(thm)],[f83777,f83276])).
% 151.41/32.68 fof(f83848,plain,(
% 151.41/32.68 sF4_fnc=sF0_fnc),
% 151.41/32.68 inference(forward_demodulation,[status(thm)],[f3007,f83847])).
% 151.41/32.68 fof(f83849,plain,(
% 151.41/32.68 $false),
% 151.41/32.68 inference(forward_subsumption_resolution,[status(thm)],[f83848,f31])).
% 151.41/32.68 % SZS output end CNFRefutation for theBenchmark.p
% 151.41/32.69 % Elapsed time: 32.256904 seconds
% 151.41/32.69 % CPU time: 254.904461 seconds
% 151.41/32.69 % Total memory used: 882.904 MB
% 151.41/32.69 % Net memory used: 868.243 MB
%------------------------------------------------------------------------------