TSTP Solution File: SEU475^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU475^1 : TPTP v8.1.0. Bugfixed v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n005.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 : Tue Jul 19 13:52:22 EDT 2022
% Result : Theorem 63.05s 63.29s
% Output : Proof 63.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU475^1 : TPTP v8.1.0. Bugfixed v3.7.0.
% 0.04/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 09:15:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 63.05/63.29 % SZS status Theorem
% 63.05/63.29 % Mode: mode484
% 63.05/63.29 % Inferences: 3271
% 63.05/63.29 % SZS output start Proof
% 63.05/63.29 thf(ty_eigen__2, type, eigen__2 : $i).
% 63.05/63.29 thf(ty_eigen__1, type, eigen__1 : $i).
% 63.05/63.29 thf(ty_eigen__0, type, eigen__0 : $i).
% 63.05/63.29 thf(def_subrel,definition,(subrel = (^[X1:$i>$i>$o]:(^[X2:$i>$i>$o]:(![X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => ((X2 @ X3) @ X4)))))))).
% 63.05/63.29 thf(def_inv,definition,(inv = (^[X1:$i>$i>$o]:(^[X2:$i]:(^[X3:$i]:((X1 @ X3) @ X2)))))).
% 63.05/63.29 thf(def_idem,definition,(idem = (^[X1:($i>$i>$o)>$i>$i>$o]:(![X2:$i>$i>$o]:((X1 @ (X1 @ X2)) = (X1 @ X2)))))).
% 63.05/63.29 thf(def_infl,definition,(infl = (^[X1:($i>$i>$o)>$i>$i>$o]:(![X2:$i>$i>$o]:((subrel @ X2) @ (X1 @ X2)))))).
% 63.05/63.29 thf(def_mono,definition,(mono = (^[X1:($i>$i>$o)>$i>$i>$o]:(![X2:$i>$i>$o]:(![X3:$i>$i>$o]:(((subrel @ X2) @ X3) => ((subrel @ (X1 @ X2)) @ (X1 @ X3)))))))).
% 63.05/63.29 thf(def_refl,definition,(refl = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 63.05/63.29 thf(def_irrefl,definition,(irrefl = (^[X1:$i>$i>$o]:(![X2:$i]:(~(((X1 @ X2) @ X2))))))).
% 63.05/63.29 thf(def_rc,definition,(rc = (^[X1:$i>$i>$o]:(^[X2:$i]:(^[X3:$i]:((~((X2 = X3))) => ((X1 @ X2) @ X3))))))).
% 63.05/63.29 thf(def_symm,definition,(symm = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 63.05/63.29 thf(def_antisymm,definition,(antisymm = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X2)))))) => (X2 = X3))))))).
% 63.05/63.29 thf(def_asymm,definition,(asymm = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X2))))))))).
% 63.05/63.29 thf(def_sc,definition,(sc = (^[X1:$i>$i>$o]:(^[X2:$i]:(^[X3:$i]:((~(((X1 @ X3) @ X2))) => ((X1 @ X2) @ X3))))))).
% 63.05/63.29 thf(def_trans,definition,(trans = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 63.05/63.29 thf(def_tc,definition,(tc = (^[X1:$i>$i>$o]:(^[X2:$i]:(^[X3:$i]:(![X4:$i>$i>$o]:((~(((trans @ X4) => (~(((subrel @ X1) @ X4)))))) => ((X4 @ X2) @ X3)))))))).
% 63.05/63.29 thf(def_trc,definition,(trc = (^[X1:$i>$i>$o]:(rc @ (tc @ X1))))).
% 63.05/63.29 thf(def_trsc,definition,(trsc = (^[X1:$i>$i>$o]:(sc @ (rc @ (tc @ X1)))))).
% 63.05/63.29 thf(def_po,definition,(po = (^[X1:$i>$i>$o]:(~(((~(((refl @ X1) => (~((antisymm @ X1)))))) => (~((trans @ X1))))))))).
% 63.05/63.29 thf(def_so,definition,(so = (^[X1:$i>$i>$o]:(~(((asymm @ X1) => (~((trans @ X1))))))))).
% 63.05/63.29 thf(def_total,definition,(total = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:((~(((~((X2 = X3))) => ((X1 @ X2) @ X3)))) => ((X1 @ X3) @ X2))))))).
% 63.05/63.29 thf(def_term,definition,(term = (^[X1:$i>$i>$o]:(![X2:$i>$o]:((~((![X3:$i]:(~((X2 @ X3)))))) => (~((![X3:$i]:((X2 @ X3) => (~((![X4:$i]:((X2 @ X4) => (~(((X1 @ X3) @ X4)))))))))))))))).
% 63.05/63.29 thf(def_ind,definition,(ind = (^[X1:$i>$i>$o]:(![X2:$i>$o]:((![X3:$i]:((![X4:$i]:((((tc @ X1) @ X3) @ X4) => (X2 @ X4))) => (X2 @ X3))) => ((!!) @ X2)))))).
% 63.05/63.29 thf(def_innf,definition,(innf = (^[X1:$i>$i>$o]:(^[X2:$i]:(![X3:$i]:(~(((X1 @ X2) @ X3)))))))).
% 63.05/63.29 thf(def_nfof,definition,(nfof = (^[X1:$i>$i>$o]:(^[X2:$i]:(^[X3:$i]:(~(((((trc @ X1) @ X3) @ X2) => (~(((innf @ X1) @ X2))))))))))).
% 63.05/63.29 thf(def_norm,definition,(norm = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~((((nfof @ X1) @ X3) @ X2)))))))))).
% 63.05/63.29 thf(def_join,definition,(join = (^[X1:$i>$i>$o]:(^[X2:$i]:(^[X3:$i]:(~((![X4:$i]:((((trc @ X1) @ X2) @ X4) => (~((((trc @ X1) @ X3) @ X4)))))))))))).
% 63.05/63.29 thf(def_lconfl,definition,(lconfl = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X4) => (~(((X1 @ X2) @ X3)))))) => (((join @ X1) @ X4) @ X3)))))))).
% 63.05/63.29 thf(def_sconfl,definition,(sconfl = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X4) => (~((((trc @ X1) @ X2) @ X3)))))) => (((join @ X1) @ X4) @ X3)))))))).
% 63.05/63.29 thf(def_confl,definition,(confl = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((((trc @ X1) @ X2) @ X4) => (~((((trc @ X1) @ X2) @ X3)))))) => (((join @ X1) @ X4) @ X3)))))))).
% 63.05/63.29 thf(def_cr,definition,(cr = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:((((trsc @ X1) @ X2) @ X3) => (((join @ X1) @ X2) @ X3))))))).
% 63.05/63.29 thf(composing_symmetric_closure_and_transitive_closure,conjecture,(~((![X1:$i>$i>$o]:((^[X2:$i]:(^[X3:$i]:((~((![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((X1 @ X5) @ X6) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X3) @ X2))))) => (![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((X1 @ X5) @ X6) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X2) @ X3)))))) = (^[X2:$i]:(^[X3:$i]:(![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((~(((X1 @ X6) @ X5))) => ((X1 @ X5) @ X6)) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X2) @ X3)))))))))).
% 63.05/63.29 thf(h0,negated_conjecture,(![X1:$i>$i>$o]:((^[X2:$i]:(^[X3:$i]:((~((![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((X1 @ X5) @ X6) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X3) @ X2))))) => (![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((X1 @ X5) @ X6) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X2) @ X3)))))) = (^[X2:$i]:(^[X3:$i]:(![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((~(((X1 @ X6) @ X5))) => ((X1 @ X5) @ X6)) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X2) @ X3))))))),inference(assume_negation,[status(cth)],[composing_symmetric_closure_and_transitive_closure])).
% 63.05/63.29 thf(h1,assumption,(~((![X1:$i]:(![X2:$i]:((~(((~((eigen__0 = X1))) => (eigen__0 = X2)))) => (X1 = X2)))))),introduced(assumption,[])).
% 63.05/63.29 thf(h2,assumption,(~((![X1:$i]:((~(((~((eigen__0 = eigen__1))) => (eigen__0 = X1)))) => (eigen__1 = X1))))),introduced(assumption,[])).
% 63.05/63.29 thf(h3,assumption,(~(((~(((~((eigen__0 = eigen__1))) => (eigen__0 = eigen__2)))) => (eigen__1 = eigen__2)))),introduced(assumption,[])).
% 63.05/63.29 thf(h4,assumption,(~(((~((eigen__0 = eigen__1))) => (eigen__0 = eigen__2)))),introduced(assumption,[])).
% 63.05/63.29 thf(h5,assumption,(~((eigen__1 = eigen__2))),introduced(assumption,[])).
% 63.05/63.29 thf(h6,assumption,(~((eigen__0 = eigen__1))),introduced(assumption,[])).
% 63.05/63.29 thf(h7,assumption,(~((eigen__0 = eigen__2))),introduced(assumption,[])).
% 63.05/63.29 thf(ax1679, axiom, (~(p1)|p1122), file('<stdin>', ax1679)).
% 63.05/63.29 thf(ax1623, axiom, (~(p1122)|p1154), file('<stdin>', ax1623)).
% 63.05/63.29 thf(ax3661, axiom, p1, file('<stdin>', ax3661)).
% 63.05/63.29 thf(ax1622, axiom, (~(p1154)|p1155), file('<stdin>', ax1622)).
% 63.05/63.29 thf(nax3, axiom, (p3<=(f__0)=(f__2)), file('<stdin>', nax3)).
% 63.05/63.29 thf(ax3659, axiom, ~(p3), file('<stdin>', ax3659)).
% 63.05/63.29 thf(ax1600, axiom, (~(p1155)|p1175), file('<stdin>', ax1600)).
% 63.05/63.29 thf(pax1219, axiom, (p1219=>(~((![X1:$i, X2:$i, X3:$i]:(~(((X2)=(f__0)=>~((X3)=(f__0))))=>(X3)=(f__0))=>~(![X1:$i, X2:$i]:((X2)=(f__0)=>(X2)=(f__0)))))=>(f__2)=(f__0))), file('<stdin>', pax1219)).
% 63.05/63.29 thf(nax1212, axiom, (p1212<=(~((![X1:$i, X2:$i, X3:$i]:(~((f__202 @ X1 @ X2=>~(f__202 @ X2 @ X3)))=>f__202 @ X1 @ X3)=>~(![X1:$i, X2:$i]:((~((X1)=(f__0))=>(X2)=(f__0))=>f__202 @ X1 @ X2))))=>f__202 @ f__2 @ f__2)), file('<stdin>', nax1212)).
% 63.05/63.29 thf(ax1599, axiom, (~(p1175)|p1176), file('<stdin>', ax1599)).
% 63.05/63.29 thf(ax1568, axiom, (~(p1202)|p1204|p1204), file('<stdin>', ax1568)).
% 63.05/63.29 thf(ax1570, axiom, (~(p1176)|p1202|~(p1203)), file('<stdin>', ax1570)).
% 63.05/63.29 thf(ax1552, axiom, (~(p1204)|p1219), file('<stdin>', ax1552)).
% 63.05/63.29 thf(ax1559, axiom, (p1203|~(p1212)), file('<stdin>', ax1559)).
% 63.05/63.29 thf(c_0_14, plain, (~p1|p1122), inference(fof_simplification,[status(thm)],[ax1679])).
% 63.05/63.29 thf(c_0_15, plain, (~p1122|p1154), inference(fof_simplification,[status(thm)],[ax1623])).
% 63.05/63.29 thf(c_0_16, plain, (p1122|~p1), inference(split_conjunct,[status(thm)],[c_0_14])).
% 63.05/63.29 thf(c_0_17, plain, p1, inference(split_conjunct,[status(thm)],[ax3661])).
% 63.05/63.29 thf(c_0_18, plain, (~p1154|p1155), inference(fof_simplification,[status(thm)],[ax1622])).
% 63.05/63.29 thf(c_0_19, plain, (p1154|~p1122), inference(split_conjunct,[status(thm)],[c_0_15])).
% 63.05/63.29 thf(c_0_20, plain, p1122, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 63.05/63.29 thf(c_0_21, plain, ((f__0)!=(f__2)|p3), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax3])])).
% 63.05/63.29 thf(c_0_22, plain, ~p3, inference(fof_simplification,[status(thm)],[ax3659])).
% 63.05/63.29 thf(c_0_23, plain, (~p1155|p1175), inference(fof_simplification,[status(thm)],[ax1600])).
% 63.05/63.29 thf(c_0_24, plain, (p1155|~p1154), inference(split_conjunct,[status(thm)],[c_0_18])).
% 63.05/63.29 thf(c_0_25, plain, p1154, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 63.05/63.29 thf(c_0_26, plain, ((((esk1207_0)=(f__0)|(f__2)=(f__0)|~p1219)&((esk1208_0)=(f__0)|(f__2)=(f__0)|~p1219))&((esk1208_0)!=(f__0)|(f__2)=(f__0)|~p1219)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1219])])])])])).
% 63.05/63.29 thf(c_0_27, plain, (p3|(f__0)!=(f__2)), inference(split_conjunct,[status(thm)],[c_0_21])).
% 63.05/63.29 thf(c_0_28, plain, ~p3, inference(split_conjunct,[status(thm)],[c_0_22])).
% 63.05/63.29 thf(c_0_29, plain, ![X2437:$i, X2438:$i, X2439:$i, X2440:$i, X2441:$i]:(((~f__202 @ X2437 @ X2438|~f__202 @ X2438 @ X2439|f__202 @ X2437 @ X2439|p1212)&(((X2440)!=(f__0)|f__202 @ X2440 @ X2441|p1212)&((X2441)!=(f__0)|f__202 @ X2440 @ X2441|p1212)))&(~f__202 @ f__2 @ f__2|p1212)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1212])])])])])).
% 63.05/63.29 thf(c_0_30, plain, (~p1175|p1176), inference(fof_simplification,[status(thm)],[ax1599])).
% 63.05/63.29 thf(c_0_31, plain, (p1175|~p1155), inference(split_conjunct,[status(thm)],[c_0_23])).
% 63.05/63.29 thf(c_0_32, plain, p1155, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 63.05/63.29 thf(c_0_33, plain, ((f__2)=(f__0)|(esk1208_0)!=(f__0)|~p1219), inference(split_conjunct,[status(thm)],[c_0_26])).
% 63.05/63.29 thf(c_0_34, plain, (f__2)!=(f__0), inference(sr,[status(thm)],[c_0_27, c_0_28])).
% 63.05/63.29 thf(c_0_35, plain, ![X2:$i, X1:$i]:(f__202 @ X1 @ X2|p1212|(X1)!=(f__0)), inference(split_conjunct,[status(thm)],[c_0_29])).
% 63.05/63.29 thf(c_0_36, plain, ![X2:$i, X1:$i]:(f__202 @ X2 @ X1|p1212|(X1)!=(f__0)), inference(split_conjunct,[status(thm)],[c_0_29])).
% 63.05/63.29 thf(c_0_37, plain, (~p1202|p1204|p1204), inference(fof_simplification,[status(thm)],[ax1568])).
% 63.05/63.29 thf(c_0_38, plain, (~p1176|p1202|~p1203), inference(fof_simplification,[status(thm)],[ax1570])).
% 63.05/63.29 thf(c_0_39, plain, (p1176|~p1175), inference(split_conjunct,[status(thm)],[c_0_30])).
% 63.05/63.29 thf(c_0_40, plain, p1175, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
% 63.05/63.29 thf(c_0_41, plain, (~p1204|p1219), inference(fof_simplification,[status(thm)],[ax1552])).
% 63.05/63.29 thf(c_0_42, plain, ((esk1208_0)=(f__0)|(f__2)=(f__0)|~p1219), inference(split_conjunct,[status(thm)],[c_0_26])).
% 63.05/63.29 thf(c_0_43, plain, ((esk1208_0)!=(f__0)|~p1219), inference(sr,[status(thm)],[c_0_33, c_0_34])).
% 63.05/63.29 thf(c_0_44, plain, ![X1:$i, X2:$i, X3:$i]:(f__202 @ X1 @ X3|p1212|~f__202 @ X1 @ X2|~f__202 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_29])).
% 63.05/63.29 thf(c_0_45, plain, ![X1:$i]:(f__202 @ f__0 @ X1|p1212), inference(er,[status(thm)],[c_0_35])).
% 63.05/63.29 thf(c_0_46, plain, ![X1:$i]:(f__202 @ X1 @ f__0|p1212), inference(er,[status(thm)],[c_0_36])).
% 63.05/63.29 thf(c_0_47, plain, (p1204|p1204|~p1202), inference(split_conjunct,[status(thm)],[c_0_37])).
% 63.05/63.29 thf(c_0_48, plain, (p1202|~p1176|~p1203), inference(split_conjunct,[status(thm)],[c_0_38])).
% 63.05/63.29 thf(c_0_49, plain, p1176, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 63.05/63.29 thf(c_0_50, plain, (p1219|~p1204), inference(split_conjunct,[status(thm)],[c_0_41])).
% 63.05/63.29 thf(c_0_51, plain, ~p1219, inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_42, c_0_34]), c_0_43])).
% 63.05/63.29 thf(c_0_52, plain, (p1203|~p1212), inference(fof_simplification,[status(thm)],[ax1559])).
% 63.05/63.29 thf(c_0_53, plain, (p1212|~f__202 @ f__2 @ f__2), inference(split_conjunct,[status(thm)],[c_0_29])).
% 63.05/63.29 thf(c_0_54, plain, ![X1:$i, X2:$i]:(f__202 @ X1 @ X2|p1212), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])).
% 63.05/63.29 thf(c_0_55, plain, (p1204|~p1202), inference(cn,[status(thm)],[c_0_47])).
% 63.05/63.29 thf(c_0_56, plain, (p1202|~p1203), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 63.05/63.29 thf(c_0_57, plain, ~p1204, inference(sr,[status(thm)],[c_0_50, c_0_51])).
% 63.05/63.29 thf(c_0_58, plain, (p1203|~p1212), inference(split_conjunct,[status(thm)],[c_0_52])).
% 63.05/63.29 thf(c_0_59, plain, p1212, inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 63.05/63.29 thf(c_0_60, plain, ~p1203, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])).
% 63.05/63.29 thf(c_0_61, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])]), c_0_60]), ['proof']).
% 63.05/63.29 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h6,h7,h4,h5,h3,h2,h1,h0])],[])).
% 63.05/63.29 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h5,h3,h2,h1,h0]),tab_negimp(discharge,[h6,h7])],[h4,1,h6,h7])).
% 63.05/63.29 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h2,h1,h0]),tab_negimp(discharge,[h4,h5])],[h3,2,h4,h5])).
% 63.05/63.29 thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,3,h3])).
% 63.05/63.29 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,4,h2])).
% 63.05/63.29 thf(three_individuals,axiom,(~((![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~((X1 = X2))) => (X1 = X3)))) => (X2 = X3)))))))).
% 63.05/63.29 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[three_individuals,5,h1])).
% 63.05/63.29 thf(0,theorem,(~((![X1:$i>$i>$o]:((^[X2:$i]:(^[X3:$i]:((~((![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((X1 @ X5) @ X6) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X3) @ X2))))) => (![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((X1 @ X5) @ X6) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X2) @ X3)))))) = (^[X2:$i]:(^[X3:$i]:(![X4:$i>$i>$o]:((~(((![X5:$i]:(![X6:$i]:(![X7:$i]:((~((((X4 @ X5) @ X6) => (~(((X4 @ X6) @ X7)))))) => ((X4 @ X5) @ X7))))) => (~((![X5:$i]:(![X6:$i]:(((~(((X1 @ X6) @ X5))) => ((X1 @ X5) @ X6)) => ((X4 @ X5) @ X6))))))))) => ((X4 @ X2) @ X3))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[6,h0])).
% 63.05/63.29 % SZS output end Proof
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