0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.11	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.10/0.32	Computer   : n011.cluster.edu
0.10/0.32	Model      : x86_64 x86_64
0.10/0.32	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	RAMPerCPU  : 8042.1875MB
0.10/0.32	OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit   : 1440
0.10/0.32	% DateTime   : Mon Jul  3 03:58:39 EDT 2023
0.10/0.32	% CPUTime    : 
112.07/112.52	% SZS status Theorem
112.07/112.52	% Mode: mode456
112.07/112.52	% Inferences: 21695
112.07/112.52	% SZS output start Proof
112.07/112.52	thf(ty_a, type, a : $i).
112.07/112.52	thf(ty_cP, type, cP : ($i>$i>$i>$o)).
112.07/112.52	thf(ty_b, type, b : $i).
112.07/112.52	thf(ty_cPx, type, cPx : ($i>$i>$o)).
112.07/112.52	thf(ty_e, type, e : $i).
112.07/112.52	thf(ty_ab, type, ab : $i).
112.07/112.52	thf(sP1,plain,sP1 <=> ((~(((~(((![X1:$i]:(((cP @ e) @ X1) @ X1)) => (~((![X1:$i]:(((cP @ X1) @ e) @ X1))))))) => (~((![X1:$i]:(((cP @ X1) @ X1) @ e))))))) => (~((![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:(![X6:$i]:((~(((((cP @ X1) @ X2) @ X4) => (~((((cP @ X2) @ X3) @ X5)))))) => ((((cP @ X4) @ X3) @ X6) = ((cPx @ X5) @ X6)))))))))))),introduced(definition,[new_symbols(definition,[sP1])])).
112.07/112.52	thf(sP2,plain,sP2 <=> (![X1:$i]:(((cP @ X1) @ X1) @ e)),introduced(definition,[new_symbols(definition,[sP2])])).
112.07/112.52	thf(sP3,plain,sP3 <=> (![X1:$i]:((~(((((cP @ ab) @ ab) @ e) => (~((((cP @ ab) @ ab) @ e)))))) => ((((cP @ e) @ ab) @ X1) = ((cPx @ e) @ X1)))),introduced(definition,[new_symbols(definition,[sP3])])).
112.07/112.52	thf(sP4,plain,sP4 <=> ((~(((((cP @ e) @ ab) @ ab) => (~((((cP @ ab) @ e) @ ab)))))) => ((((cP @ ab) @ e) @ b) = ((cPx @ ab) @ b))),introduced(definition,[new_symbols(definition,[sP4])])).
112.07/112.52	thf(sP5,plain,sP5 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:((~(((((cP @ e) @ X1) @ X3) => (~((((cP @ X1) @ X2) @ X4)))))) => ((((cP @ X3) @ X2) @ X5) = ((cPx @ X4) @ X5)))))))),introduced(definition,[new_symbols(definition,[sP5])])).
112.07/112.52	thf(sP6,plain,sP6 <=> (((cP @ e) @ a) @ a),introduced(definition,[new_symbols(definition,[sP6])])).
112.07/112.52	thf(sP7,plain,sP7 <=> ((~((sP6 => (~((((cP @ a) @ a) @ e)))))) => ((((cP @ a) @ a) @ ab) = ((cPx @ e) @ ab))),introduced(definition,[new_symbols(definition,[sP7])])).
112.07/112.52	thf(sP8,plain,sP8 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((((cP @ e) @ ab) @ X2) => (~((((cP @ ab) @ X1) @ X3)))))) => ((((cP @ X2) @ X1) @ X4) = ((cPx @ X3) @ X4))))))),introduced(definition,[new_symbols(definition,[sP8])])).
112.07/112.52	thf(sP9,plain,sP9 <=> (![X1:$i]:((~(((((cP @ a) @ b) @ ab) => (~((((cP @ b) @ e) @ b)))))) => ((((cP @ ab) @ e) @ X1) = ((cPx @ b) @ X1)))),introduced(definition,[new_symbols(definition,[sP9])])).
112.07/112.52	thf(sP10,plain,sP10 <=> (((cP @ e) @ e) @ e),introduced(definition,[new_symbols(definition,[sP10])])).
112.07/112.52	thf(sP11,plain,sP11 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((((cP @ ab) @ ab) @ X2) => (~((((cP @ ab) @ X1) @ X3)))))) => ((((cP @ X2) @ X1) @ X4) = ((cPx @ X3) @ X4))))))),introduced(definition,[new_symbols(definition,[sP11])])).
112.07/112.52	thf(sP12,plain,sP12 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((((cP @ e) @ e) @ X1) => (~((((cP @ e) @ b) @ X2)))))) => ((((cP @ X1) @ b) @ X3) = ((cPx @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP12])])).
112.07/112.52	thf(sP13,plain,sP13 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((((cP @ e) @ ab) @ X1) => (~((((cP @ ab) @ e) @ X2)))))) => ((((cP @ X1) @ e) @ X3) = ((cPx @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP13])])).
112.07/112.52	thf(sP14,plain,sP14 <=> ((((cP @ a) @ a) @ ab) = ((cPx @ e) @ ab)),introduced(definition,[new_symbols(definition,[sP14])])).
112.07/112.52	thf(sP15,plain,sP15 <=> ((((cP @ e) @ ab) @ ab) => (~((((cP @ ab) @ e) @ ab)))),introduced(definition,[new_symbols(definition,[sP15])])).
112.07/112.52	thf(sP16,plain,sP16 <=> (![X1:$i]:(![X2:$i]:((~(((((cP @ e) @ ab) @ ab) => (~((((cP @ ab) @ e) @ X1)))))) => ((((cP @ ab) @ e) @ X2) = ((cPx @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP16])])).
112.07/112.52	thf(sP17,plain,sP17 <=> (![X1:$i]:(![X2:$i]:((~(((((cP @ a) @ b) @ ab) => (~((((cP @ b) @ e) @ X1)))))) => ((((cP @ ab) @ e) @ X2) = ((cPx @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP17])])).
112.07/112.52	thf(sP18,plain,sP18 <=> (((cP @ b) @ a) @ ab),introduced(definition,[new_symbols(definition,[sP18])])).
112.07/112.52	thf(sP19,plain,sP19 <=> ((cPx @ ab) @ b),introduced(definition,[new_symbols(definition,[sP19])])).
112.07/112.52	thf(sP20,plain,sP20 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((((cP @ e) @ e) @ X2) => (~((((cP @ e) @ X1) @ X3)))))) => ((((cP @ X2) @ X1) @ X4) = ((cPx @ X3) @ X4))))))),introduced(definition,[new_symbols(definition,[sP20])])).
112.07/112.52	thf(sP21,plain,sP21 <=> (((cP @ a) @ a) @ ab),introduced(definition,[new_symbols(definition,[sP21])])).
112.07/112.52	thf(sP22,plain,sP22 <=> ((cPx @ b) @ b),introduced(definition,[new_symbols(definition,[sP22])])).
112.07/112.52	thf(sP23,plain,sP23 <=> (((cP @ b) @ e) @ b),introduced(definition,[new_symbols(definition,[sP23])])).
112.07/112.52	thf(sP24,plain,sP24 <=> ((~(((((cP @ ab) @ ab) @ e) => (~((((cP @ ab) @ ab) @ e)))))) => ((((cP @ e) @ ab) @ ab) = ((cPx @ e) @ ab))),introduced(definition,[new_symbols(definition,[sP24])])).
112.07/112.52	thf(sP25,plain,sP25 <=> ((((cP @ e) @ ab) @ ab) = ((cPx @ e) @ ab)),introduced(definition,[new_symbols(definition,[sP25])])).
112.07/112.52	thf(sP26,plain,sP26 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((((cP @ a) @ a) @ X2) => (~((((cP @ a) @ X1) @ X3)))))) => ((((cP @ X2) @ X1) @ X4) = ((cPx @ X3) @ X4))))))),introduced(definition,[new_symbols(definition,[sP26])])).
112.07/112.52	thf(sP27,plain,sP27 <=> (((cP @ ab) @ ab) @ e),introduced(definition,[new_symbols(definition,[sP27])])).
112.07/112.52	thf(sP28,plain,sP28 <=> (sP6 => (~(sP21))),introduced(definition,[new_symbols(definition,[sP28])])).
112.07/112.52	thf(sP29,plain,sP29 <=> (![X1:$i]:(![X2:$i]:((~(((((cP @ a) @ a) @ e) => (~((((cP @ a) @ a) @ X1)))))) => ((((cP @ e) @ a) @ X2) = ((cPx @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP29])])).
112.07/112.52	thf(sP30,plain,sP30 <=> (![X1:$i]:(![X2:$i]:((~((sP6 => (~((((cP @ a) @ a) @ X1)))))) => ((((cP @ a) @ a) @ X2) = ((cPx @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP30])])).
112.07/112.52	thf(sP31,plain,sP31 <=> ((((cP @ e) @ a) @ b) = sP22),introduced(definition,[new_symbols(definition,[sP31])])).
112.07/112.52	thf(sP32,plain,sP32 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((((cP @ a) @ b) @ X1) => (~((((cP @ b) @ e) @ X2)))))) => ((((cP @ X1) @ e) @ X3) = ((cPx @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP32])])).
112.07/112.52	thf(sP33,plain,sP33 <=> (((cP @ ab) @ e) @ ab),introduced(definition,[new_symbols(definition,[sP33])])).
112.07/112.52	thf(sP34,plain,sP34 <=> ((((cP @ ab) @ e) @ b) = sP22),introduced(definition,[new_symbols(definition,[sP34])])).
112.07/112.52	thf(sP35,plain,sP35 <=> ((~(((((cP @ a) @ a) @ e) => (~((((cP @ a) @ a) @ b)))))) => sP31),introduced(definition,[new_symbols(definition,[sP35])])).
112.07/112.52	thf(sP36,plain,sP36 <=> (((cP @ a) @ a) @ b),introduced(definition,[new_symbols(definition,[sP36])])).
112.07/112.52	thf(sP37,plain,sP37 <=> (![X1:$i]:((~((sP10 => (~((((cP @ e) @ b) @ b)))))) => ((((cP @ e) @ b) @ X1) = ((cPx @ b) @ X1)))),introduced(definition,[new_symbols(definition,[sP37])])).
112.07/112.52	thf(sP38,plain,sP38 <=> ((((cP @ a) @ b) @ ab) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP38])])).
112.07/112.52	thf(sP39,plain,sP39 <=> (sP6 => (~((((cP @ a) @ a) @ e)))),introduced(definition,[new_symbols(definition,[sP39])])).
112.07/112.52	thf(sP40,plain,sP40 <=> (((cP @ e) @ a) @ b),introduced(definition,[new_symbols(definition,[sP40])])).
112.07/112.52	thf(sP41,plain,sP41 <=> ((~((sP10 => (~((((cP @ e) @ b) @ b)))))) => ((((cP @ e) @ b) @ b) = sP22)),introduced(definition,[new_symbols(definition,[sP41])])).
112.07/112.52	thf(sP42,plain,sP42 <=> (![X1:$i]:(![X2:$i]:((~((sP40 => (~((((cP @ a) @ a) @ X1)))))) => ((((cP @ b) @ a) @ X2) = ((cPx @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP42])])).
112.07/112.52	thf(sP43,plain,sP43 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:((~(((((cP @ ab) @ X1) @ X3) => (~((((cP @ X1) @ X2) @ X4)))))) => ((((cP @ X3) @ X2) @ X5) = ((cPx @ X4) @ X5)))))))),introduced(definition,[new_symbols(definition,[sP43])])).
112.07/112.52	thf(sP44,plain,sP44 <=> ((![X1:$i]:(((cP @ e) @ X1) @ X1)) => (~((![X1:$i]:(((cP @ X1) @ e) @ X1))))),introduced(definition,[new_symbols(definition,[sP44])])).
112.07/112.52	thf(sP45,plain,sP45 <=> (sP40 => (~((((cP @ a) @ a) @ e)))),introduced(definition,[new_symbols(definition,[sP45])])).
112.07/112.52	thf(sP46,plain,sP46 <=> ((cPx @ e) @ ab),introduced(definition,[new_symbols(definition,[sP46])])).
112.07/112.52	thf(sP47,plain,sP47 <=> (sP27 => (~(sP27))),introduced(definition,[new_symbols(definition,[sP47])])).
112.07/112.52	thf(sP48,plain,sP48 <=> (sP18 = sP46),introduced(definition,[new_symbols(definition,[sP48])])).
112.07/112.52	thf(sP49,plain,sP49 <=> (![X1:$i]:((~(sP45)) => ((((cP @ b) @ a) @ X1) = ((cPx @ e) @ X1)))),introduced(definition,[new_symbols(definition,[sP49])])).
112.07/112.52	thf(sP50,plain,sP50 <=> ((~(sP45)) => sP48),introduced(definition,[new_symbols(definition,[sP50])])).
112.07/112.52	thf(sP51,plain,sP51 <=> ((((cP @ ab) @ e) @ b) = sP19),introduced(definition,[new_symbols(definition,[sP51])])).
112.07/112.52	thf(sP52,plain,sP52 <=> (![X1:$i]:(![X2:$i]:((~((sP27 => (~((((cP @ ab) @ ab) @ X1)))))) => ((((cP @ e) @ ab) @ X2) = ((cPx @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP52])])).
112.07/112.52	thf(sP53,plain,sP53 <=> (![X1:$i]:((~(((((cP @ a) @ a) @ e) => (~(sP36))))) => ((((cP @ e) @ a) @ X1) = ((cPx @ b) @ X1)))),introduced(definition,[new_symbols(definition,[sP53])])).
112.07/112.52	thf(sP54,plain,sP54 <=> ((~(sP28)) => (sP36 = sP19)),introduced(definition,[new_symbols(definition,[sP54])])).
112.07/112.52	thf(sP55,plain,sP55 <=> (((cP @ a) @ a) @ e),introduced(definition,[new_symbols(definition,[sP55])])).
112.07/112.52	thf(sP56,plain,sP56 <=> (![X1:$i]:(((cP @ e) @ X1) @ X1)),introduced(definition,[new_symbols(definition,[sP56])])).
112.07/112.52	thf(sP57,plain,sP57 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:((~(((((cP @ a) @ X1) @ X3) => (~((((cP @ X1) @ X2) @ X4)))))) => ((((cP @ X3) @ X2) @ X5) = ((cPx @ X4) @ X5)))))))),introduced(definition,[new_symbols(definition,[sP57])])).
112.07/112.52	thf(sP58,plain,sP58 <=> ((((cP @ a) @ b) @ ab) => sP18),introduced(definition,[new_symbols(definition,[sP58])])).
112.07/112.52	thf(sP59,plain,sP59 <=> (![X1:$i]:((~(sP39)) => ((((cP @ a) @ a) @ X1) = ((cPx @ e) @ X1)))),introduced(definition,[new_symbols(definition,[sP59])])).
112.07/112.52	thf(sP60,plain,sP60 <=> (![X1:$i]:((~(sP15)) => ((((cP @ ab) @ e) @ X1) = ((cPx @ ab) @ X1)))),introduced(definition,[new_symbols(definition,[sP60])])).
112.07/112.52	thf(sP61,plain,sP61 <=> ((~(sP1)) => sP58),introduced(definition,[new_symbols(definition,[sP61])])).
112.07/112.52	thf(sP62,plain,sP62 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((((cP @ e) @ a) @ X2) => (~((((cP @ a) @ X1) @ X3)))))) => ((((cP @ X2) @ X1) @ X4) = ((cPx @ X3) @ X4))))))),introduced(definition,[new_symbols(definition,[sP62])])).
112.07/112.52	thf(sP63,plain,sP63 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((((cP @ a) @ b) @ X2) => (~((((cP @ b) @ X1) @ X3)))))) => ((((cP @ X2) @ X1) @ X4) = ((cPx @ X3) @ X4))))))),introduced(definition,[new_symbols(definition,[sP63])])).
112.07/112.52	thf(sP64,plain,sP64 <=> ((~(sP38)) => sP34),introduced(definition,[new_symbols(definition,[sP64])])).
112.07/112.52	thf(sP65,plain,sP65 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((((cP @ a) @ a) @ X1) => (~((((cP @ a) @ a) @ X2)))))) => ((((cP @ X1) @ a) @ X3) = ((cPx @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP65])])).
112.07/112.52	thf(sP66,plain,sP66 <=> (sP36 = sP19),introduced(definition,[new_symbols(definition,[sP66])])).
112.07/112.52	thf(sP67,plain,sP67 <=> (((cP @ ab) @ e) @ b),introduced(definition,[new_symbols(definition,[sP67])])).
112.07/112.52	thf(sP68,plain,sP68 <=> (((cP @ e) @ b) @ b),introduced(definition,[new_symbols(definition,[sP68])])).
112.07/112.52	thf(sP69,plain,sP69 <=> (sP55 => (~(sP36))),introduced(definition,[new_symbols(definition,[sP69])])).
112.07/112.52	thf(sP70,plain,sP70 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((((cP @ e) @ a) @ X1) => (~((((cP @ a) @ a) @ X2)))))) => ((((cP @ X1) @ a) @ X3) = ((cPx @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP70])])).
112.07/112.52	thf(sP71,plain,sP71 <=> (![X1:$i]:(![X2:$i]:((~((sP10 => (~((((cP @ e) @ b) @ X1)))))) => ((((cP @ e) @ b) @ X2) = ((cPx @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP71])])).
112.07/112.52	thf(sP72,plain,sP72 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:(![X6:$i]:((~(((((cP @ X1) @ X2) @ X4) => (~((((cP @ X2) @ X3) @ X5)))))) => ((((cP @ X4) @ X3) @ X6) = ((cPx @ X5) @ X6))))))))),introduced(definition,[new_symbols(definition,[sP72])])).
112.07/112.52	thf(sP73,plain,sP73 <=> (![X1:$i]:((~(sP28)) => ((((cP @ a) @ a) @ X1) = ((cPx @ ab) @ X1)))),introduced(definition,[new_symbols(definition,[sP73])])).
112.07/112.52	thf(sP74,plain,sP74 <=> (sP68 = sP22),introduced(definition,[new_symbols(definition,[sP74])])).
112.07/112.52	thf(sP75,plain,sP75 <=> ((~(sP44)) => (~(sP2))),introduced(definition,[new_symbols(definition,[sP75])])).
112.07/112.52	thf(sP76,plain,sP76 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((((cP @ ab) @ ab) @ X1) => (~((((cP @ ab) @ ab) @ X2)))))) => ((((cP @ X1) @ ab) @ X3) = ((cPx @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP76])])).
112.07/112.52	thf(sP77,plain,sP77 <=> (((cP @ e) @ ab) @ ab),introduced(definition,[new_symbols(definition,[sP77])])).
112.07/112.52	thf(sP78,plain,sP78 <=> (((cP @ a) @ b) @ ab),introduced(definition,[new_symbols(definition,[sP78])])).
112.07/112.52	thf(sP79,plain,sP79 <=> (![X1:$i]:(((cP @ X1) @ e) @ X1)),introduced(definition,[new_symbols(definition,[sP79])])).
112.07/112.52	thf(sP80,plain,sP80 <=> (sP10 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP80])])).
112.07/112.52	thf(cGRP_COMM,conjecture,sP61).
112.07/112.52	thf(h0,negated_conjecture,(~(sP61)),inference(assume_negation,[status(cth)],[cGRP_COMM])).
112.07/112.52	thf(1,plain,((~(sP69) | ~(sP55)) | ~(sP36)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(2,plain,((~(sP47) | ~(sP27)) | ~(sP27)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(3,plain,((~(sP15) | ~(sP77)) | ~(sP33)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(4,plain,((~(sP45) | ~(sP40)) | ~(sP55)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(5,plain,((~(sP39) | ~(sP6)) | ~(sP55)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(6,plain,((~(sP28) | ~(sP6)) | ~(sP21)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(7,plain,((~(sP80) | ~(sP10)) | ~(sP68)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(8,plain,((~(sP35) | sP69) | sP31),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(9,plain,((~(sP24) | sP47) | sP25),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(10,plain,((~(sP38) | ~(sP78)) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(11,plain,((~(sP4) | sP15) | sP51),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(12,plain,((~(sP41) | sP80) | sP74),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(13,plain,((~(sP54) | sP28) | sP66),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(14,plain,((~(sP7) | sP39) | sP14),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(15,plain,((~(sP50) | sP45) | sP48),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(16,plain,((~(sP64) | sP38) | sP34),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(17,plain,(~(sP53) | sP35),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(18,plain,(~(sP3) | sP24),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(19,plain,((~(sP51) | ~(sP67)) | sP19),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(20,plain,((~(sP34) | sP67) | ~(sP22)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(21,plain,((~(sP48) | sP18) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(22,plain,((~(sP14) | sP21) | ~(sP46)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(23,plain,((~(sP66) | sP36) | ~(sP19)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(24,plain,((~(sP31) | sP40) | ~(sP22)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(25,plain,((~(sP25) | ~(sP77)) | sP46),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(26,plain,(~(sP60) | sP4),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(27,plain,(~(sP49) | sP50),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(28,plain,(~(sP59) | sP7),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(29,plain,(~(sP73) | sP54),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(30,plain,(~(sP37) | sP41),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(31,plain,(~(sP52) | sP3),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(32,plain,(~(sP29) | sP53),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(33,plain,(~(sP9) | sP64),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(34,plain,(~(sP17) | sP9),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(35,plain,(~(sP65) | sP29),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(36,plain,(~(sP76) | sP52),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(37,plain,(~(sP71) | sP37),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(38,plain,(~(sP30) | sP73),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(39,plain,(~(sP30) | sP59),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(40,plain,(~(sP42) | sP49),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(41,plain,(~(sP16) | sP60),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(42,plain,((~(sP74) | ~(sP68)) | sP22),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(43,plain,(~(sP13) | sP16),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(44,plain,(~(sP70) | sP42),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(45,plain,(~(sP70) | sP30),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(46,plain,(~(sP12) | sP71),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(47,plain,(~(sP11) | sP76),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(48,plain,(~(sP26) | sP65),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(49,plain,(~(sP32) | sP17),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(50,plain,(~(sP63) | sP32),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(51,plain,(~(sP57) | sP63),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(52,plain,(~(sP57) | sP26),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(53,plain,(~(sP43) | sP11),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(54,plain,(~(sP20) | sP12),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(55,plain,(~(sP62) | sP70),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(56,plain,(~(sP8) | sP13),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(57,plain,(~(sP5) | sP8),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(58,plain,(~(sP5) | sP62),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(59,plain,(~(sP5) | sP20),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(60,plain,(~(sP72) | sP5),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(61,plain,(~(sP2) | sP10),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(62,plain,(~(sP56) | sP68),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(63,plain,(~(sP56) | sP77),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(64,plain,(~(sP56) | sP6),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(65,plain,(~(sP79) | sP23),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(66,plain,(~(sP79) | sP33),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(67,plain,(sP44 | sP79),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(68,plain,(sP44 | sP56),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(69,plain,(~(sP2) | sP27),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(70,plain,(~(sP2) | sP55),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(71,plain,(sP75 | sP2),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(72,plain,(sP75 | ~(sP44)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(73,plain,(~(sP72) | sP43),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(74,plain,(~(sP72) | sP57),inference(all_rule,[status(thm)],[])).
112.07/112.52	thf(75,plain,(sP1 | sP72),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(76,plain,(sP1 | ~(sP75)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(77,plain,(sP58 | ~(sP18)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(78,plain,(sP58 | sP78),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(79,plain,(sP61 | ~(sP58)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(80,plain,(sP61 | ~(sP1)),inference(prop_rule,[status(thm)],[])).
112.07/112.52	thf(81,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,h0])).
112.07/112.52	thf(0,theorem,sP61,inference(contra,[status(thm),contra(discharge,[h0])],[81,h0])).
112.07/112.52	% SZS output end Proof
112.07/112.52	EOF