TSTP Solution File: LCL874^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL874^1 : TPTP v8.1.0. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 14:11:45 EDT 2022
% Result : Theorem 76.94s 77.52s
% Output : Proof 76.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL874^1 : TPTP v8.1.0. Bugfixed v5.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 17:44:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 76.94/77.52 % SZS status Theorem
% 76.94/77.52 % Mode: mode484
% 76.94/77.52 % Inferences: 2686
% 76.94/77.52 % SZS output start Proof
% 76.94/77.52 thf(ty_eigen__2, type, eigen__2 : $i).
% 76.94/77.52 thf(ty_eigen__1, type, eigen__1 : ($i>$o)).
% 76.94/77.52 thf(ty_eigen__0, type, eigen__0 : $i).
% 76.94/77.52 thf(ty_rb, type, rb : ($i>$i>$o)).
% 76.94/77.52 thf(ty_rk, type, rk : ($i>$i>$o)).
% 76.94/77.52 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 76.94/77.52 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 76.94/77.52 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 76.94/77.52 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 76.94/77.52 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 76.94/77.52 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 76.94/77.52 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 76.94/77.52 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 76.94/77.52 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 76.94/77.52 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 76.94/77.52 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 76.94/77.52 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 76.94/77.52 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 76.94/77.52 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 76.94/77.52 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 76.94/77.52 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 76.94/77.52 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 76.94/77.52 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 76.94/77.52 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 76.94/77.52 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 76.94/77.52 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 76.94/77.52 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 76.94/77.52 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 76.94/77.52 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 76.94/77.52 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 76.94/77.52 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 76.94/77.52 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 76.94/77.52 thf(def_mvalid,definition,(mvalid = (!!))).
% 76.94/77.52 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 76.94/77.52 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 76.94/77.52 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 76.94/77.52 thf(conj,conjecture,(![X1:$i]:(![X2:$i>$o]:((~((~((![X3:$i]:(((rb @ X1) @ X3) => (X2 @ X3))))))) => (![X3:$i]:(((rk @ X1) @ X3) => (X2 @ X3))))))).
% 76.94/77.52 thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((rb @ X1) @ X3) => (X2 @ X3))) => (![X3:$i]:(((rk @ X1) @ X3) => (X2 @ X3)))))))),inference(assume_negation,[status(cth)],[conj])).
% 76.94/77.52 thf(h1,assumption,(~((![X1:$i>$o]:((![X2:$i]:(((rb @ eigen__0) @ X2) => (X1 @ X2))) => (![X2:$i]:(((rk @ eigen__0) @ X2) => (X1 @ X2))))))),introduced(assumption,[])).
% 76.94/77.52 thf(h2,assumption,(~(((![X1:$i]:(((rb @ eigen__0) @ X1) => (eigen__1 @ X1))) => (![X1:$i]:(((rk @ eigen__0) @ X1) => (eigen__1 @ X1)))))),introduced(assumption,[])).
% 76.94/77.52 thf(h3,assumption,(![X1:$i]:(((rb @ eigen__0) @ X1) => (eigen__1 @ X1))),introduced(assumption,[])).
% 76.94/77.52 thf(h4,assumption,(~((![X1:$i]:(((rk @ eigen__0) @ X1) => (eigen__1 @ X1))))),introduced(assumption,[])).
% 76.94/77.52 thf(h5,assumption,(~((((rk @ eigen__0) @ eigen__2) => (eigen__1 @ eigen__2)))),introduced(assumption,[])).
% 76.94/77.52 thf(h6,assumption,((rk @ eigen__0) @ eigen__2),introduced(assumption,[])).
% 76.94/77.52 thf(h7,assumption,(~((eigen__1 @ eigen__2))),introduced(assumption,[])).
% 76.94/77.52 thf(ax1821, axiom, (~(p5)|p16), file('<stdin>', ax1821)).
% 76.94/77.52 thf(ax1774, axiom, (~(p16)|p64), file('<stdin>', ax1774)).
% 76.94/77.52 thf(ax1832, axiom, p5, file('<stdin>', ax1832)).
% 76.94/77.52 thf(ax1817, axiom, (~(p7)|p20), file('<stdin>', ax1817)).
% 76.94/77.52 thf(ax1809, axiom, (~(p10)|~(p28)), file('<stdin>', ax1809)).
% 76.94/77.52 thf(ax1669, axiom, (~(p64)|~(p187)|p123), file('<stdin>', ax1669)).
% 76.94/77.52 thf(nax187, axiom, (p187<=![X1:$i]:(frk @ f__0 @ X1=>frk @ f__0 @ X1)), file('<stdin>', nax187)).
% 76.94/77.52 thf(ax1823, axiom, (~(p4)|p14), file('<stdin>', ax1823)).
% 76.94/77.52 thf(ax1160, axiom, (~(p20)|p506), file('<stdin>', ax1160)).
% 76.94/77.52 thf(ax1830, axiom, p7, file('<stdin>', ax1830)).
% 76.94/77.52 thf(ax1827, axiom, p10, file('<stdin>', ax1827)).
% 76.94/77.52 thf(ax1209, axiom, (~(p123)|p457), file('<stdin>', ax1209)).
% 76.94/77.52 thf(ax1796, axiom, (~(p14)|p42), file('<stdin>', ax1796)).
% 76.94/77.52 thf(ax1833, axiom, p4, file('<stdin>', ax1833)).
% 76.94/77.52 thf(ax1037, axiom, (~(p506)|p565), file('<stdin>', ax1037)).
% 76.94/77.52 thf(ax878, axiom, (~(p665)|~(p522)|~(p2)), file('<stdin>', ax878)).
% 76.94/77.52 thf(ax1097, axiom, (~(p457)|~(p93)|p522), file('<stdin>', ax1097)).
% 76.94/77.52 thf(ax1741, axiom, (p28|p93), file('<stdin>', ax1741)).
% 76.94/77.52 thf(ax1713, axiom, (~(p42)|~(p128)|p129), file('<stdin>', ax1713)).
% 76.94/77.52 thf(nax128, axiom, (p128<=![X1:$i]:(frb @ f__0 @ X1=>frb @ f__0 @ X1)), file('<stdin>', nax128)).
% 76.94/77.52 thf(ax1797, axiom, (~(p14)|p41), file('<stdin>', ax1797)).
% 76.94/77.52 thf(ax879, axiom, (~(p565)|p665|p647), file('<stdin>', ax879)).
% 76.94/77.52 thf(ax1835, axiom, p2, file('<stdin>', ax1835)).
% 76.94/77.52 thf(ax1187, axiom, (~(p129)|p479), file('<stdin>', ax1187)).
% 76.94/77.52 thf(ax1715, axiom, (~(p41)|~(p3)|p126), file('<stdin>', ax1715)).
% 76.94/77.52 thf(ax1075, axiom, (~(p479)|~(p93)|p527), file('<stdin>', ax1075)).
% 76.94/77.52 thf(ax1594, axiom, (~(p126)|p262), file('<stdin>', ax1594)).
% 76.94/77.52 thf(ax1834, axiom, p3, file('<stdin>', ax1834)).
% 76.94/77.52 thf(ax758, axiom, (~(p616)|~(p647)|p32), file('<stdin>', ax758)).
% 76.94/77.52 thf(ax950, axiom, (~(p527)|p616), file('<stdin>', ax950)).
% 76.94/77.52 thf(ax1441, axiom, (~(p262)|~(p32)|p213), file('<stdin>', ax1441)).
% 76.94/77.52 thf(ax1810, axiom, (~(p11)|p27), file('<stdin>', ax1810)).
% 76.94/77.52 thf(ax1270, axiom, (~(p399)|~(p27)|p1), file('<stdin>', ax1270)).
% 76.94/77.52 thf(ax1826, axiom, p11, file('<stdin>', ax1826)).
% 76.94/77.52 thf(ax1836, axiom, ~(p1), file('<stdin>', ax1836)).
% 76.94/77.52 thf(ax1316, axiom, (~(p213)|p399), file('<stdin>', ax1316)).
% 76.94/77.52 thf(c_0_36, plain, (~p5|p16), inference(fof_simplification,[status(thm)],[ax1821])).
% 76.94/77.52 thf(c_0_37, plain, (~p16|p64), inference(fof_simplification,[status(thm)],[ax1774])).
% 76.94/77.52 thf(c_0_38, plain, (p16|~p5), inference(split_conjunct,[status(thm)],[c_0_36])).
% 76.94/77.52 thf(c_0_39, plain, p5, inference(split_conjunct,[status(thm)],[ax1832])).
% 76.94/77.52 thf(c_0_40, plain, (~p7|p20), inference(fof_simplification,[status(thm)],[ax1817])).
% 76.94/77.52 thf(c_0_41, plain, (~p10|~p28), inference(fof_simplification,[status(thm)],[ax1809])).
% 76.94/77.52 thf(c_0_42, plain, (~p64|~p187|p123), inference(fof_simplification,[status(thm)],[ax1669])).
% 76.94/77.52 thf(c_0_43, plain, (p64|~p16), inference(split_conjunct,[status(thm)],[c_0_37])).
% 76.94/77.52 thf(c_0_44, plain, p16, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 76.94/77.52 thf(c_0_45, plain, p187, inference(fof_simplification,[status(thm)],[nax187])).
% 76.94/77.52 thf(c_0_46, plain, (~p4|p14), inference(fof_simplification,[status(thm)],[ax1823])).
% 76.94/77.52 thf(c_0_47, plain, (~p20|p506), inference(fof_simplification,[status(thm)],[ax1160])).
% 76.94/77.52 thf(c_0_48, plain, (p20|~p7), inference(split_conjunct,[status(thm)],[c_0_40])).
% 76.94/77.52 thf(c_0_49, plain, p7, inference(split_conjunct,[status(thm)],[ax1830])).
% 76.94/77.52 thf(c_0_50, plain, (~p10|~p28), inference(split_conjunct,[status(thm)],[c_0_41])).
% 76.94/77.52 thf(c_0_51, plain, p10, inference(split_conjunct,[status(thm)],[ax1827])).
% 76.94/77.52 thf(c_0_52, plain, (~p123|p457), inference(fof_simplification,[status(thm)],[ax1209])).
% 76.94/77.52 thf(c_0_53, plain, (p123|~p64|~p187), inference(split_conjunct,[status(thm)],[c_0_42])).
% 76.94/77.52 thf(c_0_54, plain, p64, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 76.94/77.52 thf(c_0_55, plain, p187, inference(split_conjunct,[status(thm)],[c_0_45])).
% 76.94/77.52 thf(c_0_56, plain, (~p14|p42), inference(fof_simplification,[status(thm)],[ax1796])).
% 76.94/77.52 thf(c_0_57, plain, (p14|~p4), inference(split_conjunct,[status(thm)],[c_0_46])).
% 76.94/77.52 thf(c_0_58, plain, p4, inference(split_conjunct,[status(thm)],[ax1833])).
% 76.94/77.52 thf(c_0_59, plain, (~p506|p565), inference(fof_simplification,[status(thm)],[ax1037])).
% 76.94/77.52 thf(c_0_60, plain, (p506|~p20), inference(split_conjunct,[status(thm)],[c_0_47])).
% 76.94/77.52 thf(c_0_61, plain, p20, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 76.94/77.52 thf(c_0_62, plain, (~p665|~p522|~p2), inference(fof_simplification,[status(thm)],[ax878])).
% 76.94/77.52 thf(c_0_63, plain, (~p457|~p93|p522), inference(fof_simplification,[status(thm)],[ax1097])).
% 76.94/77.52 thf(c_0_64, plain, (p28|p93), inference(split_conjunct,[status(thm)],[ax1741])).
% 76.94/77.52 thf(c_0_65, plain, ~p28, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])).
% 76.94/77.52 thf(c_0_66, plain, (p457|~p123), inference(split_conjunct,[status(thm)],[c_0_52])).
% 76.94/77.52 thf(c_0_67, plain, p123, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54]), c_0_55])])).
% 76.94/77.52 thf(c_0_68, plain, (~p42|~p128|p129), inference(fof_simplification,[status(thm)],[ax1713])).
% 76.94/77.52 thf(c_0_69, plain, (p42|~p14), inference(split_conjunct,[status(thm)],[c_0_56])).
% 76.94/77.52 thf(c_0_70, plain, p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])])).
% 76.94/77.52 thf(c_0_71, plain, p128, inference(fof_simplification,[status(thm)],[nax128])).
% 76.94/77.52 thf(c_0_72, plain, (~p14|p41), inference(fof_simplification,[status(thm)],[ax1797])).
% 76.94/77.52 thf(c_0_73, plain, (~p565|p665|p647), inference(fof_simplification,[status(thm)],[ax879])).
% 76.94/77.52 thf(c_0_74, plain, (p565|~p506), inference(split_conjunct,[status(thm)],[c_0_59])).
% 76.94/77.52 thf(c_0_75, plain, p506, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])])).
% 76.94/77.52 thf(c_0_76, plain, (~p665|~p522|~p2), inference(split_conjunct,[status(thm)],[c_0_62])).
% 76.94/77.52 thf(c_0_77, plain, p2, inference(split_conjunct,[status(thm)],[ax1835])).
% 76.94/77.52 thf(c_0_78, plain, (p522|~p457|~p93), inference(split_conjunct,[status(thm)],[c_0_63])).
% 76.94/77.52 thf(c_0_79, plain, p93, inference(sr,[status(thm)],[c_0_64, c_0_65])).
% 76.94/77.52 thf(c_0_80, plain, p457, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])).
% 76.94/77.52 thf(c_0_81, plain, (~p129|p479), inference(fof_simplification,[status(thm)],[ax1187])).
% 76.94/77.53 thf(c_0_82, plain, (p129|~p42|~p128), inference(split_conjunct,[status(thm)],[c_0_68])).
% 76.94/77.53 thf(c_0_83, plain, p42, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])])).
% 76.94/77.53 thf(c_0_84, plain, p128, inference(split_conjunct,[status(thm)],[c_0_71])).
% 76.94/77.53 thf(c_0_85, plain, (~p41|~p3|p126), inference(fof_simplification,[status(thm)],[ax1715])).
% 76.94/77.53 thf(c_0_86, plain, (p41|~p14), inference(split_conjunct,[status(thm)],[c_0_72])).
% 76.94/77.53 thf(c_0_87, plain, (p665|p647|~p565), inference(split_conjunct,[status(thm)],[c_0_73])).
% 76.94/77.53 thf(c_0_88, plain, p565, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75])])).
% 76.94/77.53 thf(c_0_89, plain, (~p522|~p665), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 76.94/77.53 thf(c_0_90, plain, p522, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_79]), c_0_80])])).
% 76.94/77.53 thf(c_0_91, plain, (~p479|~p93|p527), inference(fof_simplification,[status(thm)],[ax1075])).
% 76.94/77.53 thf(c_0_92, plain, (p479|~p129), inference(split_conjunct,[status(thm)],[c_0_81])).
% 76.94/77.53 thf(c_0_93, plain, p129, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83]), c_0_84])])).
% 76.94/77.53 thf(c_0_94, plain, (~p126|p262), inference(fof_simplification,[status(thm)],[ax1594])).
% 76.94/77.53 thf(c_0_95, plain, (p126|~p41|~p3), inference(split_conjunct,[status(thm)],[c_0_85])).
% 76.94/77.53 thf(c_0_96, plain, p3, inference(split_conjunct,[status(thm)],[ax1834])).
% 76.94/77.53 thf(c_0_97, plain, p41, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_70])])).
% 76.94/77.53 thf(c_0_98, plain, (~p616|~p647|p32), inference(fof_simplification,[status(thm)],[ax758])).
% 76.94/77.53 thf(c_0_99, plain, (p665|p647), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88])])).
% 76.94/77.53 thf(c_0_100, plain, ~p665, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
% 76.94/77.53 thf(c_0_101, plain, (~p527|p616), inference(fof_simplification,[status(thm)],[ax950])).
% 76.94/77.53 thf(c_0_102, plain, (p527|~p479|~p93), inference(split_conjunct,[status(thm)],[c_0_91])).
% 76.94/77.53 thf(c_0_103, plain, p479, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_93])])).
% 76.94/77.53 thf(c_0_104, plain, (~p262|~p32|p213), inference(fof_simplification,[status(thm)],[ax1441])).
% 76.94/77.53 thf(c_0_105, plain, (p262|~p126), inference(split_conjunct,[status(thm)],[c_0_94])).
% 76.94/77.53 thf(c_0_106, plain, p126, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95, c_0_96]), c_0_97])])).
% 76.94/77.53 thf(c_0_107, plain, (p32|~p616|~p647), inference(split_conjunct,[status(thm)],[c_0_98])).
% 76.94/77.53 thf(c_0_108, plain, p647, inference(sr,[status(thm)],[c_0_99, c_0_100])).
% 76.94/77.53 thf(c_0_109, plain, (p616|~p527), inference(split_conjunct,[status(thm)],[c_0_101])).
% 76.94/77.53 thf(c_0_110, plain, p527, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_79]), c_0_103])])).
% 76.94/77.53 thf(c_0_111, plain, (~p11|p27), inference(fof_simplification,[status(thm)],[ax1810])).
% 76.94/77.53 thf(c_0_112, plain, (p213|~p262|~p32), inference(split_conjunct,[status(thm)],[c_0_104])).
% 76.94/77.53 thf(c_0_113, plain, p262, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105, c_0_106])])).
% 76.94/77.53 thf(c_0_114, plain, (p32|~p616), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_108])])).
% 76.94/77.53 thf(c_0_115, plain, p616, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_110])])).
% 76.94/77.53 thf(c_0_116, plain, (~p399|~p27|p1), inference(fof_simplification,[status(thm)],[ax1270])).
% 76.94/77.53 thf(c_0_117, plain, (p27|~p11), inference(split_conjunct,[status(thm)],[c_0_111])).
% 76.94/77.53 thf(c_0_118, plain, p11, inference(split_conjunct,[status(thm)],[ax1826])).
% 76.94/77.53 thf(c_0_119, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1836])).
% 76.94/77.53 thf(c_0_120, plain, (~p213|p399), inference(fof_simplification,[status(thm)],[ax1316])).
% 76.94/77.53 thf(c_0_121, plain, (p213|~p32), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112, c_0_113])])).
% 76.94/77.53 thf(c_0_122, plain, p32, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_115])])).
% 76.94/77.53 thf(c_0_123, plain, (p1|~p399|~p27), inference(split_conjunct,[status(thm)],[c_0_116])).
% 76.94/77.53 thf(c_0_124, plain, p27, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118])])).
% 76.94/77.53 thf(c_0_125, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_119])).
% 76.94/77.53 thf(c_0_126, plain, (p399|~p213), inference(split_conjunct,[status(thm)],[c_0_120])).
% 76.94/77.53 thf(c_0_127, plain, p213, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121, c_0_122])])).
% 76.94/77.53 thf(c_0_128, plain, ~p399, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123, c_0_124])]), c_0_125])).
% 76.94/77.53 thf(c_0_129, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126, c_0_127])]), c_0_128]), ['proof']).
% 76.94/77.53 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h6,h7,h5,h3,h4,h2,h1,h0])],[])).
% 76.94/77.53 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h5,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h6,h7])],[h5,1,h6,h7])).
% 76.94/77.53 thf(3,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__2)],[h4,2,h5])).
% 76.94/77.53 thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,3,h3,h4])).
% 76.94/77.53 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,4,h2])).
% 76.94/77.53 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,5,h1])).
% 76.94/77.53 thf(0,theorem,(![X1:$i]:(![X2:$i>$o]:((~((~((![X3:$i]:(((rb @ X1) @ X3) => (X2 @ X3))))))) => (![X3:$i]:(((rk @ X1) @ X3) => (X2 @ X3)))))),inference(contra,[status(thm),contra(discharge,[h0])],[6,h0])).
% 76.94/77.53 % SZS output end Proof
%------------------------------------------------------------------------------