0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : satallax -s schedule_3_1 -E eprover -P picomus -M modes -p tstp -t %d %s
0.03/0.23	% Computer   : n123.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.07/0.25	% DateTime   : Sun Jul 15 13:27:55 CDT 2018
0.07/0.25	% CPUTime    : 
0.07/0.27	% SZS status Theorem
0.07/0.27	% Mode: mode213
0.07/0.27	% Inferences: 198
0.07/0.27	% SZS output start Proof
0.07/0.27	thf(ty_eigen__14, type, eigen__14 : $o).
0.07/0.27	thf(ty_eigen__6, type, eigen__6 : $o).
0.07/0.27	thf(ty_eigen__2, type, eigen__2 : $o).
0.07/0.27	thf(ty_eigen__1, type, eigen__1 : ($o>$o)).
0.07/0.27	thf(ty_eigen__0, type, eigen__0 : (($o>$o)>$o)).
0.07/0.27	thf(ty_eigen__5, type, eigen__5 : $o).
0.07/0.27	thf(ty_eigen__11, type, eigen__11 : $o).
0.07/0.27	thf(ty_eigen__3, type, eigen__3 : $o).
0.07/0.27	thf(ty_eigen__8, type, eigen__8 : $o).
0.07/0.27	thf(h0, assumption, (![X1:$o>$o]:(![X2:$o]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])).
0.07/0.27	thf(eigendef_eigen__11, definition, (eigen__11 = (eps__0 @ (^[X1:$o]:(~(((~(X1)) = (~(((~((eigen__0 @ (^[X2:$o]:$false)))) => (~(((~((eigen__0 @ (^[X2:$o]:(~($false)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__11]))).
0.07/0.27	thf(eigendef_eigen__3, definition, (eigen__3 = (eps__0 @ (^[X1:$o]:(~(((eigen__1 @ X1) = $false)))))), introduced(definition,[new_symbols(definition,[eigen__3]))).
0.07/0.27	thf(eigendef_eigen__14, definition, (eigen__14 = (eps__0 @ (^[X1:$o]:(~(((eigen__1 @ X1) = (~(X1)))))))), introduced(definition,[new_symbols(definition,[eigen__14]))).
0.07/0.27	thf(eigendef_eigen__6, definition, (eigen__6 = (eps__0 @ (^[X1:$o]:(~(($false = (~(((~((eigen__0 @ (^[X2:$o]:$false)))) => (~(((~((eigen__0 @ (^[X2:$o]:(~($false)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__6]))).
0.07/0.27	thf(eigendef_eigen__8, definition, (eigen__8 = (eps__0 @ (^[X1:$o]:(~(((eigen__1 @ X1) = (~($false)))))))), introduced(definition,[new_symbols(definition,[eigen__8]))).
0.07/0.27	thf(eigendef_eigen__2, definition, (eigen__2 = (eps__0 @ (^[X1:$o]:(~(((eigen__1 @ X1) = (~(((~((eigen__0 @ (^[X2:$o]:$false)))) => (~(((~((eigen__0 @ (^[X2:$o]:(~($false)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__2]))).
0.07/0.27	thf(eigendef_eigen__5, definition, (eigen__5 = (eps__0 @ (^[X1:$o]:(~(((~($false)) = (~(((~((eigen__0 @ (^[X2:$o]:$false)))) => (~(((~((eigen__0 @ (^[X2:$o]:(~($false)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__5]))).
0.07/0.27	thf(sP1,plain,(sP1 <=> (eigen__0 @ (^[X1:$o]:$false)),introduced(definition,[new_symbols(definition,[sP1])]))).
0.07/0.27	thf(sP2,plain,(sP2 <=> (eigen__0 @ eigen__1),introduced(definition,[new_symbols(definition,[sP2])]))).
0.07/0.27	thf(sP3,plain,(sP3 <=> ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__11))),introduced(definition,[new_symbols(definition,[sP3])]))).
0.07/0.27	thf(sP4,plain,(sP4 <=> (![X1:$o]:((~(X1)) = (~(((~(sP1)) => (~(((~((eigen__0 @ (^[X2:$o]:(~($false)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP4])]))).
0.07/0.27	thf(sP5,plain,(sP5 <=> eigen__3,introduced(definition,[new_symbols(definition,[sP5])]))).
0.07/0.27	thf(sP6,plain,(sP6 <=> (eigen__1 @ eigen__14),introduced(definition,[new_symbols(definition,[sP6])]))).
0.07/0.27	thf(sP7,plain,(sP7 <=> (![X1:$o]:((eigen__1 @ X1) = (~(((~(sP1)) => (~(((~((eigen__0 @ (^[X2:$o]:(~($false)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP7])]))).
0.07/0.27	thf(sP8,plain,(sP8 <=> ((eigen__14 = sP5) => (sP5 = eigen__14)),introduced(definition,[new_symbols(definition,[sP8])]))).
0.07/0.27	thf(sP9,plain,(sP9 <=> ((~($false)) = (~(((~(sP1)) => (~(((~((eigen__0 @ (^[X1:$o]:(~($false)))))) => ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__5)))))))))),introduced(definition,[new_symbols(definition,[sP9])]))).
0.07/0.27	thf(sP10,plain,(sP10 <=> (![X1:$o]:((eigen__1 @ X1) = $false)),introduced(definition,[new_symbols(definition,[sP10])]))).
0.07/0.27	thf(sP11,plain,(sP11 <=> (![X1:$o]:((eigen__1 @ X1) = (~($false)))),introduced(definition,[new_symbols(definition,[sP11])]))).
0.07/0.27	thf(sP12,plain,(sP12 <=> ((^[X1:$o]:(~($false))) = (^[X1:$o]:(~(((~(sP1)) => (~(((~((eigen__0 @ (^[X2:$o]:(~($false)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP12])]))).
0.07/0.27	thf(sP13,plain,(sP13 <=> $false,introduced(definition,[new_symbols(definition,[sP13])]))).
0.07/0.27	thf(sP14,plain,(sP14 <=> (eigen__14 = sP5),introduced(definition,[new_symbols(definition,[sP14])]))).
0.07/0.27	thf(sP15,plain,(sP15 <=> ((^[X1:$o]:(~(X1))) = (^[X1:$o]:(~(((~(sP1)) => (~(((~((eigen__0 @ (^[X2:$o]:(~(sP13)))))) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP15])]))).
0.07/0.27	thf(sP16,plain,(sP16 <=> (eigen__1 = (^[X1:$o]:(~(X1)))),introduced(definition,[new_symbols(definition,[sP16])]))).
0.07/0.27	thf(sP17,plain,(sP17 <=> ((eigen__1 @ sP5) = sP13),introduced(definition,[new_symbols(definition,[sP17])]))).
0.07/0.27	thf(sP18,plain,(sP18 <=> (eigen__0 @ (^[X1:$o]:(~(sP13)))),introduced(definition,[new_symbols(definition,[sP18])]))).
0.07/0.27	thf(sP19,plain,(sP19 <=> (eigen__1 @ sP5),introduced(definition,[new_symbols(definition,[sP19])]))).
0.07/0.27	thf(sP20,plain,(sP20 <=> (sP6 = (~(eigen__14))),introduced(definition,[new_symbols(definition,[sP20])]))).
0.07/0.27	thf(sP21,plain,(sP21 <=> ((~(eigen__11)) = (~(((~(sP1)) => (~(((~(sP18)) => sP3))))))),introduced(definition,[new_symbols(definition,[sP21])]))).
0.07/0.27	thf(sP22,plain,(sP22 <=> (eigen__8 = sP5),introduced(definition,[new_symbols(definition,[sP22])]))).
0.07/0.27	thf(sP23,plain,(sP23 <=> ((~(sP18)) => sP3),introduced(definition,[new_symbols(definition,[sP23])]))).
0.07/0.27	thf(sP24,plain,(sP24 <=> (eigen__1 @ eigen__8),introduced(definition,[new_symbols(definition,[sP24])]))).
0.07/0.27	thf(sP25,plain,(sP25 <=> ((^[X1:$o]:sP13) = (^[X1:$o]:(~(((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP25])]))).
0.07/0.27	thf(sP26,plain,(sP26 <=> (sP5 = eigen__8),introduced(definition,[new_symbols(definition,[sP26])]))).
0.07/0.27	thf(sP27,plain,(sP27 <=> (eigen__8 = eigen__2),introduced(definition,[new_symbols(definition,[sP27])]))).
0.07/0.27	thf(sP28,plain,(sP28 <=> (eigen__14 = eigen__8),introduced(definition,[new_symbols(definition,[sP28])]))).
0.07/0.27	thf(sP29,plain,(sP29 <=> (sP5 = eigen__2),introduced(definition,[new_symbols(definition,[sP29])]))).
0.07/0.27	thf(sP30,plain,(sP30 <=> eigen__14,introduced(definition,[new_symbols(definition,[sP30])]))).
0.07/0.27	thf(sP31,plain,(sP31 <=> ((~(sP18)) => ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__5)))),introduced(definition,[new_symbols(definition,[sP31])]))).
0.07/0.27	thf(sP32,plain,(sP32 <=> (sP5 = sP30),introduced(definition,[new_symbols(definition,[sP32])]))).
0.07/0.27	thf(sP33,plain,(sP33 <=> (![X1:$o]:(sP13 = (~(((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP33])]))).
0.07/0.27	thf(sP34,plain,(sP34 <=> (sP27 => (eigen__2 = eigen__8)),introduced(definition,[new_symbols(definition,[sP34])]))).
0.07/0.27	thf(sP35,plain,(sP35 <=> (![X1:$o]:((~(sP13)) = (~(((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP35])]))).
0.07/0.27	thf(sP36,plain,(sP36 <=> (eigen__2 = eigen__8),introduced(definition,[new_symbols(definition,[sP36])]))).
0.07/0.27	thf(sP37,plain,(sP37 <=> ((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__2))))))),introduced(definition,[new_symbols(definition,[sP37])]))).
0.07/0.27	thf(sP38,plain,(sP38 <=> eigen__8,introduced(definition,[new_symbols(definition,[sP38])]))).
0.07/0.27	thf(sP39,plain,(sP39 <=> (sP24 = (~(sP13))),introduced(definition,[new_symbols(definition,[sP39])]))).
0.07/0.27	thf(sP40,plain,(sP40 <=> (![X1:$o]:(![X2:$o]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP40])]))).
0.07/0.27	thf(sP41,plain,(sP41 <=> ((eigen__1 @ eigen__2) = (~(sP37))),introduced(definition,[new_symbols(definition,[sP41])]))).
0.07/0.27	thf(sP42,plain,(sP42 <=> ((~(sP1)) => (~(sP31))),introduced(definition,[new_symbols(definition,[sP42])]))).
0.07/0.27	thf(sP43,plain,(sP43 <=> (eigen__1 = (^[X1:$o]:(~(sP13)))),introduced(definition,[new_symbols(definition,[sP43])]))).
0.07/0.27	thf(sP44,plain,(sP44 <=> (sP22 => sP26),introduced(definition,[new_symbols(definition,[sP44])]))).
0.07/0.27	thf(sP45,plain,(sP45 <=> ((~(sP18)) => ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__2)))),introduced(definition,[new_symbols(definition,[sP45])]))).
0.07/0.27	thf(sP46,plain,(sP46 <=> (eigen__1 = (^[X1:$o]:sP13)),introduced(definition,[new_symbols(definition,[sP46])]))).
0.07/0.27	thf(sP47,plain,(sP47 <=> ((~(sP1)) => (~(sP23))),introduced(definition,[new_symbols(definition,[sP47])]))).
0.07/0.27	thf(sP48,plain,(sP48 <=> (eigen__1 = (^[X1:$o]:(~(((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP48])]))).
0.07/0.27	thf(sP49,plain,(sP49 <=> ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__2))),introduced(definition,[new_symbols(definition,[sP49])]))).
0.07/0.27	thf(sP50,plain,(sP50 <=> (eigen__0 @ (^[X1:$o]:(~(((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X2:$o]:(~(X2)))) = (~(X1))))))))))),introduced(definition,[new_symbols(definition,[sP50])]))).
0.07/0.27	thf(sP51,plain,(sP51 <=> (![X1:$o]:((sP30 = X1) => (X1 = sP30))),introduced(definition,[new_symbols(definition,[sP51])]))).
0.07/0.27	thf(sP52,plain,(sP52 <=> (sP13 = (~(((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__6)))))))))),introduced(definition,[new_symbols(definition,[sP52])]))).
0.07/0.27	thf(sP53,plain,(sP53 <=> eigen__2,introduced(definition,[new_symbols(definition,[sP53])]))).
0.07/0.27	thf(sP54,plain,(sP54 <=> (![X1:$o]:((eigen__1 @ X1) = (~(X1)))),introduced(definition,[new_symbols(definition,[sP54])]))).
0.07/0.27	thf(sP55,plain,(sP55 <=> eigen__11,introduced(definition,[new_symbols(definition,[sP55])]))).
0.07/0.27	thf(sP56,plain,(sP56 <=> ((~(sP1)) => (~(((~(sP18)) => ((eigen__0 @ (^[X1:$o]:(~(X1)))) = (~(eigen__6))))))),introduced(definition,[new_symbols(definition,[sP56])]))).
0.07/0.27	thf(sP57,plain,(sP57 <=> (![X1:$o]:((sP38 = X1) => (X1 = sP38))),introduced(definition,[new_symbols(definition,[sP57])]))).
0.07/0.27	thf(sP58,plain,(sP58 <=> (eigen__0 @ (^[X1:$o]:(~(X1)))),introduced(definition,[new_symbols(definition,[sP58])]))).
0.07/0.27	thf(sP59,plain,(sP59 <=> (eigen__1 @ sP53),introduced(definition,[new_symbols(definition,[sP59])]))).
0.07/0.27	thf(def_t,definition,(t = (^[X1:($o>$o)>$o]:(^[X2:$o]:(~(((~((X1 @ (^[X3:$o]:sP13)))) => (~(((~((X1 @ (^[X3:$o]:(~(sP13)))))) => ((X1 @ (^[X3:$o]:(~(X3)))) = (~(X2))))))))))))).
0.07/0.27	thf(choiceoo1,conjecture,(![X1:($o>$o)>$o]:((~((![X2:$o>$o]:(~((X1 @ X2)))))) => (X1 @ (t @ X1))))).
0.07/0.27	thf(h1,negated_conjecture,(~((![X1:($o>$o)>$o]:((~((![X2:$o>$o]:(~((X1 @ X2)))))) => (X1 @ (^[X2:$o]:(~(((~((X1 @ (^[X3:$o]:sP13)))) => (~(((~((X1 @ (^[X3:$o]:(~(sP13)))))) => ((X1 @ (^[X3:$o]:(~(X3)))) = (~(X2))))))))))))))),inference(assume_negation,[status(cth)],[choiceoo1])).
0.07/0.27	thf(h2,assumption,(~(((~((![X1:$o>$o]:(~((eigen__0 @ X1)))))) => sP50))),introduced(assumption,[])).
0.07/0.27	thf(h3,assumption,(~((![X1:$o>$o]:(~((eigen__0 @ X1)))))),introduced(assumption,[])).
0.07/0.27	thf(h4,assumption,(~(sP50)),introduced(assumption,[])).
0.07/0.27	thf(h5,assumption,sP2,introduced(assumption,[])).
0.07/0.27	thf(1,plain,((~(sP2) | sP50) | ~(sP48)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(2,plain,(sP48 | ~(sP7)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(3,plain,(sP7 | ~(sP41)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2])).
0.07/0.27	thf(4,plain,sP40,inference(@eq_sym,[status(thm)],[])).
0.07/0.27	thf(5,plain,((sP41 | sP59) | ~(sP37)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(6,plain,((sP41 | ~(sP59)) | sP37),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(7,plain,(sP37 | sP45),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(8,plain,((~(sP45) | sP18) | sP49),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(9,plain,((~(sP2) | sP1) | ~(sP46)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(10,plain,((~(sP49) | sP58) | sP53),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(11,plain,((~(sP18) | sP50) | ~(sP12)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(12,plain,((~(sP37) | sP1) | ~(sP45)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(13,plain,(sP45 | ~(sP49)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(14,plain,((~(sP1) | sP50) | ~(sP25)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(15,plain,((sP49 | sP58) | ~(sP53)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(16,plain,((~(sP2) | sP18) | ~(sP43)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(17,plain,(sP46 | ~(sP10)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(18,plain,((~(sP58) | sP50) | ~(sP15)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(19,plain,((~(sP2) | sP58) | ~(sP16)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(20,plain,(sP12 | ~(sP35)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(21,plain,(sP25 | ~(sP33)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(22,plain,(sP43 | ~(sP11)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(23,plain,(sP10 | ~(sP17)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3])).
0.07/0.27	thf(24,plain,((sP17 | sP19) | sP13),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(25,plain,(sP15 | ~(sP4)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(26,plain,(sP16 | ~(sP54)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(27,plain,(sP35 | ~(sP9)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__5])).
0.07/0.27	thf(28,plain,((sP9 | sP13) | sP42),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(29,plain,(sP33 | ~(sP52)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__6])).
0.07/0.27	thf(30,plain,((sP52 | sP13) | ~(sP56)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(31,plain,(sP11 | ~(sP39)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__8])).
0.07/0.27	thf(32,plain,((sP39 | ~(sP24)) | sP13),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(33,plain,((~(sP19) | sP59) | ~(sP29)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(34,plain,~(sP13),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(35,plain,(sP4 | ~(sP21)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__11])).
0.07/0.27	thf(36,plain,((sP21 | ~(sP55)) | ~(sP47)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(37,plain,((sP21 | sP55) | sP47),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(38,plain,(sP54 | ~(sP20)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__14])).
0.07/0.27	thf(39,plain,((sP20 | sP6) | ~(sP30)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(40,plain,((sP20 | ~(sP6)) | sP30),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(41,plain,((~(sP42) | sP1) | ~(sP31)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(42,plain,(sP31 | ~(sP18)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(43,plain,(sP56 | ~(sP1)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(44,plain,((~(sP19) | sP24) | ~(sP26)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(45,plain,((~(sP59) | sP24) | ~(sP36)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(46,plain,((sP29 | ~(sP5)) | ~(sP53)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(47,plain,(sP47 | sP23),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(48,plain,((~(sP23) | sP18) | sP3),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(49,plain,((~(sP3) | ~(sP58)) | ~(sP55)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(50,plain,((~(sP47) | sP1) | ~(sP23)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(51,plain,(sP23 | ~(sP3)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(52,plain,((sP3 | ~(sP58)) | sP55),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(53,plain,((~(sP6) | sP24) | ~(sP28)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(54,plain,((~(sP19) | sP6) | ~(sP32)),inference(mating_rule,[status(thm)],[])).
0.07/0.27	thf(55,plain,(~(sP40) | sP57),inference(all_rule,[status(thm)],[])).
0.07/0.27	thf(56,plain,(~(sP57) | sP44),inference(all_rule,[status(thm)],[])).
0.07/0.27	thf(57,plain,((~(sP44) | ~(sP22)) | sP26),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(58,plain,((sP22 | sP38) | sP5),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(59,plain,((sP22 | ~(sP38)) | ~(sP5)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(60,plain,(~(sP57) | sP34),inference(all_rule,[status(thm)],[])).
0.07/0.27	thf(61,plain,((~(sP34) | ~(sP27)) | sP36),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(62,plain,((sP27 | sP38) | sP53),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(63,plain,(~(sP40) | sP51),inference(all_rule,[status(thm)],[])).
0.07/0.27	thf(64,plain,((sP28 | ~(sP30)) | ~(sP38)),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(65,plain,(~(sP51) | sP8),inference(all_rule,[status(thm)],[])).
0.07/0.27	thf(66,plain,((~(sP8) | ~(sP14)) | sP32),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(67,plain,((sP14 | sP30) | sP5),inference(prop_rule,[status(thm)],[])).
0.07/0.27	thf(68,plain,$false,inference(prop_unsat,[status(thm),assumptions([h5,h3,h4,h2,h1,h0])],[h4,h5,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67])).
0.07/0.27	thf(69,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__1)],[h3,68,h5])).
0.07/0.27	thf(70,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,69,h3,h4])).
0.07/0.27	thf(71,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__0)],[h1,70,h2])).
0.07/0.27	thf(72,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[71,h0])).
0.07/0.27	thf(0,theorem,(![X1:($o>$o)>$o]:((~((![X2:$o>$o]:(~((X1 @ X2)))))) => (X1 @ (t @ X1)))),inference(contra,[status(thm),contra(discharge,[h1])],[71,h1])).
0.07/0.27	% SZS output end Proof
0.07/0.27	EOF