TSTP Solution File: SEV046^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV046^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n003.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 18:04:36 EDT 2022
% Result : Theorem 78.68s 78.83s
% Output : Proof 78.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEV046^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 28 15:42:05 EDT 2022
% 0.11/0.33 % CPUTime :
% 78.68/78.83 % SZS status Theorem
% 78.68/78.83 % Mode: mode484
% 78.68/78.83 % Inferences: 1350
% 78.68/78.83 % SZS output start Proof
% 78.68/78.83 thf(ty_a, type, a : $tType).
% 78.68/78.83 thf(ty_b, type, b : $tType).
% 78.68/78.83 thf(ty_eigen__6, type, eigen__6 : (a>b)).
% 78.68/78.83 thf(ty_eigen__2, type, eigen__2 : (a>b)).
% 78.68/78.83 thf(ty_eigen__7, type, eigen__7 : (a>b)).
% 78.68/78.83 thf(ty_eigen__1, type, eigen__1 : (a>b>b>$o)).
% 78.68/78.83 thf(ty_eigen__0, type, eigen__0 : (a>a>$o)).
% 78.68/78.83 thf(ty_eigen__4, type, eigen__4 : a).
% 78.68/78.83 thf(ty_eigen__5, type, eigen__5 : a).
% 78.68/78.83 thf(ty_eigen__3, type, eigen__3 : (a>b)).
% 78.68/78.83 thf(ty_eigen__10, type, eigen__10 : a).
% 78.68/78.83 thf(ty_eigen__8, type, eigen__8 : (a>b)).
% 78.68/78.83 thf(ty_eigen__9, type, eigen__9 : a).
% 78.68/78.83 thf(sP1,plain,sP1 <=> ((eigen__0 @ eigen__4) @ eigen__5),introduced(definition,[new_symbols(definition,[sP1])])).
% 78.68/78.83 thf(sP2,plain,sP2 <=> (![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => ((eigen__0 @ X2) @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])).
% 78.68/78.83 thf(sP3,plain,sP3 <=> (![X1:a]:(((eigen__0 @ eigen__5) @ X1) => ((eigen__1 @ eigen__5) = (eigen__1 @ X1)))),introduced(definition,[new_symbols(definition,[sP3])])).
% 78.68/78.83 thf(sP4,plain,sP4 <=> (![X1:b]:((((eigen__1 @ eigen__5) @ (eigen__2 @ eigen__5)) @ X1) = (((eigen__1 @ eigen__4) @ (eigen__2 @ eigen__5)) @ X1))),introduced(definition,[new_symbols(definition,[sP4])])).
% 78.68/78.83 thf(sP5,plain,sP5 <=> (![X1:a]:((~((sP1 => (~(((eigen__0 @ eigen__5) @ X1)))))) => ((eigen__0 @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP5])])).
% 78.68/78.83 thf(sP6,plain,sP6 <=> ((![X1:b]:(![X2:b]:((((eigen__1 @ eigen__4) @ X1) @ X2) => (((eigen__1 @ eigen__4) @ X2) @ X1)))) => (~((![X1:b]:(![X2:b]:(![X3:b]:((~(((((eigen__1 @ eigen__4) @ X1) @ X2) => (~((((eigen__1 @ eigen__4) @ X2) @ X3)))))) => (((eigen__1 @ eigen__4) @ X1) @ X3)))))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 78.68/78.83 thf(sP7,plain,sP7 <=> (![X1:b]:((((eigen__1 @ eigen__4) @ (eigen__2 @ eigen__5)) @ X1) => (((eigen__1 @ eigen__4) @ X1) @ (eigen__2 @ eigen__5)))),introduced(definition,[new_symbols(definition,[sP7])])).
% 78.68/78.83 thf(sP8,plain,sP8 <=> (sP1 => (~(((eigen__0 @ eigen__5) @ eigen__4)))),introduced(definition,[new_symbols(definition,[sP8])])).
% 78.68/78.83 thf(sP9,plain,sP9 <=> (![X1:a]:(((eigen__0 @ X1) @ X1) => (~(((![X2:b]:(![X3:b]:((((eigen__1 @ X1) @ X2) @ X3) => (((eigen__1 @ X1) @ X3) @ X2)))) => (~((![X2:b]:(![X3:b]:(![X4:b]:((~(((((eigen__1 @ X1) @ X2) @ X3) => (~((((eigen__1 @ X1) @ X3) @ X4)))))) => (((eigen__1 @ X1) @ X2) @ X4)))))))))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 78.68/78.83 thf(sP10,plain,sP10 <=> ((~(sP8)) => ((eigen__0 @ eigen__4) @ eigen__4)),introduced(definition,[new_symbols(definition,[sP10])])).
% 78.68/78.83 thf(sP11,plain,sP11 <=> ((eigen__1 @ eigen__5) = (eigen__1 @ eigen__4)),introduced(definition,[new_symbols(definition,[sP11])])).
% 78.68/78.83 thf(sP12,plain,sP12 <=> (((eigen__1 @ eigen__4) @ (eigen__2 @ eigen__5)) @ (eigen__3 @ eigen__4)),introduced(definition,[new_symbols(definition,[sP12])])).
% 78.68/78.83 thf(sP13,plain,sP13 <=> ((eigen__0 @ eigen__5) @ eigen__4),introduced(definition,[new_symbols(definition,[sP13])])).
% 78.68/78.83 thf(sP14,plain,sP14 <=> (((eigen__1 @ eigen__5) @ (eigen__2 @ eigen__5)) = ((eigen__1 @ eigen__4) @ (eigen__2 @ eigen__5))),introduced(definition,[new_symbols(definition,[sP14])])).
% 78.68/78.83 thf(sP15,plain,sP15 <=> (sP12 => (((eigen__1 @ eigen__4) @ (eigen__3 @ eigen__4)) @ (eigen__2 @ eigen__5))),introduced(definition,[new_symbols(definition,[sP15])])).
% 78.68/78.83 thf(sP16,plain,sP16 <=> (![X1:a]:(![X2:a]:(![X3:a]:((~((((eigen__0 @ X1) @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => ((eigen__0 @ X1) @ X3))))),introduced(definition,[new_symbols(definition,[sP16])])).
% 78.68/78.83 thf(sP17,plain,sP17 <=> (![X1:a]:(((eigen__0 @ eigen__4) @ X1) => ((eigen__0 @ X1) @ eigen__4))),introduced(definition,[new_symbols(definition,[sP17])])).
% 78.68/78.83 thf(sP18,plain,sP18 <=> (sP13 => (((eigen__1 @ eigen__5) @ (eigen__2 @ eigen__5)) @ (eigen__3 @ eigen__4))),introduced(definition,[new_symbols(definition,[sP18])])).
% 78.68/78.83 thf(sP19,plain,sP19 <=> (((eigen__0 @ eigen__4) @ eigen__4) => (~(sP6))),introduced(definition,[new_symbols(definition,[sP19])])).
% 78.68/78.83 thf(sP20,plain,sP20 <=> ((eigen__0 @ eigen__4) @ eigen__4),introduced(definition,[new_symbols(definition,[sP20])])).
% 78.68/78.83 thf(sP21,plain,sP21 <=> (![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__2 @ X1)) @ (eigen__3 @ X2))))),introduced(definition,[new_symbols(definition,[sP21])])).
% 78.68/78.83 thf(sP22,plain,sP22 <=> (sP13 => sP11),introduced(definition,[new_symbols(definition,[sP22])])).
% 78.68/78.83 thf(sP23,plain,sP23 <=> (((eigen__1 @ eigen__4) @ (eigen__3 @ eigen__4)) @ (eigen__2 @ eigen__5)),introduced(definition,[new_symbols(definition,[sP23])])).
% 78.68/78.83 thf(sP24,plain,sP24 <=> (sP1 => sP13),introduced(definition,[new_symbols(definition,[sP24])])).
% 78.68/78.83 thf(sP25,plain,sP25 <=> ((((eigen__1 @ eigen__5) @ (eigen__2 @ eigen__5)) @ (eigen__3 @ eigen__4)) = sP12),introduced(definition,[new_symbols(definition,[sP25])])).
% 78.68/78.83 thf(sP26,plain,sP26 <=> (![X1:a]:(((eigen__0 @ eigen__5) @ X1) => (((eigen__1 @ eigen__5) @ (eigen__2 @ eigen__5)) @ (eigen__3 @ X1)))),introduced(definition,[new_symbols(definition,[sP26])])).
% 78.68/78.83 thf(sP27,plain,sP27 <=> (![X1:a]:(![X2:a]:((~((((eigen__0 @ eigen__4) @ X1) => (~(((eigen__0 @ X1) @ X2)))))) => ((eigen__0 @ eigen__4) @ X2)))),introduced(definition,[new_symbols(definition,[sP27])])).
% 78.68/78.83 thf(sP28,plain,sP28 <=> (![X1:b]:(((eigen__1 @ eigen__5) @ X1) = ((eigen__1 @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP28])])).
% 78.68/78.83 thf(sP29,plain,sP29 <=> (![X1:b]:(![X2:b]:((((eigen__1 @ eigen__4) @ X1) @ X2) => (((eigen__1 @ eigen__4) @ X2) @ X1)))),introduced(definition,[new_symbols(definition,[sP29])])).
% 78.68/78.83 thf(sP30,plain,sP30 <=> (![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => ((eigen__1 @ X1) = (eigen__1 @ X2))))),introduced(definition,[new_symbols(definition,[sP30])])).
% 78.68/78.83 thf(sP31,plain,sP31 <=> (((eigen__1 @ eigen__5) @ (eigen__2 @ eigen__5)) @ (eigen__3 @ eigen__4)),introduced(definition,[new_symbols(definition,[sP31])])).
% 78.68/78.83 thf(cTHM507_pme,conjecture,(![X1:a>a>$o]:(![X2:a>b>b>$o]:((~(((~(((~(((![X3:a]:(![X4:a]:(((X1 @ X3) @ X4) => ((X1 @ X4) @ X3)))) => (~((![X3:a]:(![X4:a]:(![X5:a]:((~((((X1 @ X3) @ X4) => (~(((X1 @ X4) @ X5)))))) => ((X1 @ X3) @ X5)))))))))) => (~((![X3:a]:(((X1 @ X3) @ X3) => (~(((![X4:b]:(![X5:b]:((((X2 @ X3) @ X4) @ X5) => (((X2 @ X3) @ X5) @ X4)))) => (~((![X4:b]:(![X5:b]:(![X6:b]:((~(((((X2 @ X3) @ X4) @ X5) => (~((((X2 @ X3) @ X5) @ X6)))))) => (((X2 @ X3) @ X4) @ X6))))))))))))))))) => (~((![X3:a]:(![X4:a]:(((X1 @ X3) @ X4) => ((X2 @ X3) = (X2 @ X4)))))))))) => (~(((![X3:a>b]:(![X4:a>b]:((![X5:a]:(![X6:a]:(((X1 @ X5) @ X6) => (((X2 @ X5) @ (X3 @ X5)) @ (X4 @ X6))))) => (![X5:a]:(![X6:a]:(((X1 @ X5) @ X6) => (((X2 @ X5) @ (X4 @ X5)) @ (X3 @ X6)))))))) => (~((![X3:a>b]:(![X4:a>b]:(![X5:a>b]:((~(((![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X3 @ X6)) @ (X4 @ X7))))) => (~((![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X4 @ X6)) @ (X5 @ X7)))))))))) => (![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X3 @ X6)) @ (X5 @ X7)))))))))))))))))).
% 78.68/78.83 thf(h0,negated_conjecture,(~((![X1:a>a>$o]:(![X2:a>b>b>$o]:((~(((~(((~(((![X3:a]:(![X4:a]:(((X1 @ X3) @ X4) => ((X1 @ X4) @ X3)))) => (~((![X3:a]:(![X4:a]:(![X5:a]:((~((((X1 @ X3) @ X4) => (~(((X1 @ X4) @ X5)))))) => ((X1 @ X3) @ X5)))))))))) => (~((![X3:a]:(((X1 @ X3) @ X3) => (~(((![X4:b]:(![X5:b]:((((X2 @ X3) @ X4) @ X5) => (((X2 @ X3) @ X5) @ X4)))) => (~((![X4:b]:(![X5:b]:(![X6:b]:((~(((((X2 @ X3) @ X4) @ X5) => (~((((X2 @ X3) @ X5) @ X6)))))) => (((X2 @ X3) @ X4) @ X6))))))))))))))))) => (~((![X3:a]:(![X4:a]:(((X1 @ X3) @ X4) => ((X2 @ X3) = (X2 @ X4)))))))))) => (~(((![X3:a>b]:(![X4:a>b]:((![X5:a]:(![X6:a]:(((X1 @ X5) @ X6) => (((X2 @ X5) @ (X3 @ X5)) @ (X4 @ X6))))) => (![X5:a]:(![X6:a]:(((X1 @ X5) @ X6) => (((X2 @ X5) @ (X4 @ X5)) @ (X3 @ X6)))))))) => (~((![X3:a>b]:(![X4:a>b]:(![X5:a>b]:((~(((![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X3 @ X6)) @ (X4 @ X7))))) => (~((![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X4 @ X6)) @ (X5 @ X7)))))))))) => (![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X3 @ X6)) @ (X5 @ X7))))))))))))))))))),inference(assume_negation,[status(cth)],[cTHM507_pme])).
% 78.68/78.83 thf(h1,assumption,(~((![X1:a>b>b>$o]:((~(((~(((~((sP2 => (~(sP16))))) => (~((![X2:a]:(((eigen__0 @ X2) @ X2) => (~(((![X3:b]:(![X4:b]:((((X1 @ X2) @ X3) @ X4) => (((X1 @ X2) @ X4) @ X3)))) => (~((![X3:b]:(![X4:b]:(![X5:b]:((~(((((X1 @ X2) @ X3) @ X4) => (~((((X1 @ X2) @ X4) @ X5)))))) => (((X1 @ X2) @ X3) @ X5))))))))))))))))) => (~((![X2:a]:(![X3:a]:(((eigen__0 @ X2) @ X3) => ((X1 @ X2) = (X1 @ X3)))))))))) => (~(((![X2:a>b]:(![X3:a>b]:((![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((X1 @ X4) @ (X2 @ X4)) @ (X3 @ X5))))) => (![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((X1 @ X4) @ (X3 @ X4)) @ (X2 @ X5)))))))) => (~((![X2:a>b]:(![X3:a>b]:(![X4:a>b]:((~(((![X5:a]:(![X6:a]:(((eigen__0 @ X5) @ X6) => (((X1 @ X5) @ (X2 @ X5)) @ (X3 @ X6))))) => (~((![X5:a]:(![X6:a]:(((eigen__0 @ X5) @ X6) => (((X1 @ X5) @ (X3 @ X5)) @ (X4 @ X6)))))))))) => (![X5:a]:(![X6:a]:(((eigen__0 @ X5) @ X6) => (((X1 @ X5) @ (X2 @ X5)) @ (X4 @ X6)))))))))))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h2,assumption,(~(((~(((~(((~((sP2 => (~(sP16))))) => (~(sP9))))) => (~(sP30))))) => (~(((![X1:a>b]:(![X2:a>b]:((![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (X1 @ X3)) @ (X2 @ X4))))) => (![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (X2 @ X3)) @ (X1 @ X4)))))))) => (~((![X1:a>b]:(![X2:a>b]:(![X3:a>b]:((~(((![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X1 @ X4)) @ (X2 @ X5))))) => (~((![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X2 @ X4)) @ (X3 @ X5)))))))))) => (![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X1 @ X4)) @ (X3 @ X5))))))))))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h3,assumption,(~(((~(((~((sP2 => (~(sP16))))) => (~(sP9))))) => (~(sP30))))),introduced(assumption,[])).
% 78.68/78.83 thf(h4,assumption,((![X1:a>b]:(![X2:a>b]:((![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (X1 @ X3)) @ (X2 @ X4))))) => (![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (X2 @ X3)) @ (X1 @ X4)))))))) => (~((![X1:a>b]:(![X2:a>b]:(![X3:a>b]:((~(((![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X1 @ X4)) @ (X2 @ X5))))) => (~((![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X2 @ X4)) @ (X3 @ X5)))))))))) => (![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X1 @ X4)) @ (X3 @ X5)))))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h5,assumption,(~(((~((sP2 => (~(sP16))))) => (~(sP9))))),introduced(assumption,[])).
% 78.68/78.83 thf(h6,assumption,sP30,introduced(assumption,[])).
% 78.68/78.83 thf(h7,assumption,(~((sP2 => (~(sP16))))),introduced(assumption,[])).
% 78.68/78.83 thf(h8,assumption,sP9,introduced(assumption,[])).
% 78.68/78.83 thf(h9,assumption,sP2,introduced(assumption,[])).
% 78.68/78.83 thf(h10,assumption,sP16,introduced(assumption,[])).
% 78.68/78.83 thf(h11,assumption,(~((![X1:a>b]:(![X2:a>b]:((![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (X1 @ X3)) @ (X2 @ X4))))) => (![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (X2 @ X3)) @ (X1 @ X4)))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h12,assumption,(~((![X1:a>b]:(![X2:a>b]:(![X3:a>b]:((~(((![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X1 @ X4)) @ (X2 @ X5))))) => (~((![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X2 @ X4)) @ (X3 @ X5)))))))))) => (![X4:a]:(![X5:a]:(((eigen__0 @ X4) @ X5) => (((eigen__1 @ X4) @ (X1 @ X4)) @ (X3 @ X5))))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h13,assumption,(~((![X1:a>b]:((![X2:a]:(![X3:a]:(((eigen__0 @ X2) @ X3) => (((eigen__1 @ X2) @ (eigen__2 @ X2)) @ (X1 @ X3))))) => (![X2:a]:(![X3:a]:(((eigen__0 @ X2) @ X3) => (((eigen__1 @ X2) @ (X1 @ X2)) @ (eigen__2 @ X3))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h14,assumption,(~((sP21 => (![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__3 @ X1)) @ (eigen__2 @ X2)))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h15,assumption,sP21,introduced(assumption,[])).
% 78.68/78.83 thf(h16,assumption,(~((![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__3 @ X1)) @ (eigen__2 @ X2))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h17,assumption,(~((![X1:a]:(((eigen__0 @ eigen__4) @ X1) => (((eigen__1 @ eigen__4) @ (eigen__3 @ eigen__4)) @ (eigen__2 @ X1)))))),introduced(assumption,[])).
% 78.68/78.83 thf(h18,assumption,(~((sP1 => sP23))),introduced(assumption,[])).
% 78.68/78.83 thf(h19,assumption,sP1,introduced(assumption,[])).
% 78.68/78.83 thf(h20,assumption,(~(sP23)),introduced(assumption,[])).
% 78.68/78.83 thf(1,plain,((~(sP25) | ~(sP31)) | sP12),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(2,plain,((~(sP15) | ~(sP12)) | sP23),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(3,plain,(~(sP4) | sP25),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(4,plain,(~(sP14) | sP4),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(5,plain,((~(sP8) | ~(sP1)) | ~(sP13)),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(6,plain,((~(sP10) | sP8) | sP20),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(7,plain,(~(sP7) | sP15),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(8,plain,(~(sP28) | sP14),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(9,plain,(~(sP11) | sP28),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(10,plain,((~(sP24) | ~(sP1)) | sP13),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(11,plain,(~(sP5) | sP10),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(12,plain,(~(sP29) | sP7),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(13,plain,(sP6 | sP29),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(14,plain,((~(sP22) | ~(sP13)) | sP11),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(15,plain,((~(sP18) | ~(sP13)) | sP31),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(16,plain,(~(sP17) | sP24),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(17,plain,(~(sP27) | sP5),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(18,plain,((~(sP19) | ~(sP20)) | ~(sP6)),inference(prop_rule,[status(thm)],[])).
% 78.68/78.83 thf(19,plain,(~(sP3) | sP22),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(20,plain,(~(sP26) | sP18),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(21,plain,(~(sP2) | sP17),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(22,plain,(~(sP16) | sP27),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(23,plain,(~(sP9) | sP19),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(24,plain,(~(sP30) | sP3),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(25,plain,(~(sP21) | sP26),inference(all_rule,[status(thm)],[])).
% 78.68/78.83 thf(26,plain,$false,inference(prop_unsat,[status(thm),assumptions([h19,h20,h18,h17,h15,h16,h14,h13,h11,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,h9,h10,h8,h6,h15,h19,h20])).
% 78.68/78.83 thf(27,plain,$false,inference(tab_negimp,[status(thm),assumptions([h18,h17,h15,h16,h14,h13,h11,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h19,h20])],[h18,26,h19,h20])).
% 78.68/78.83 thf(28,plain,$false,inference(tab_negall,[status(thm),assumptions([h17,h15,h16,h14,h13,h11,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h18]),tab_negall(eigenvar,eigen__5)],[h17,27,h18])).
% 78.68/78.83 thf(29,plain,$false,inference(tab_negall,[status(thm),assumptions([h15,h16,h14,h13,h11,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__4)],[h16,28,h17])).
% 78.68/78.83 thf(30,plain,$false,inference(tab_negimp,[status(thm),assumptions([h14,h13,h11,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h15,h16])],[h14,29,h15,h16])).
% 78.68/78.83 thf(31,plain,$false,inference(tab_negall,[status(thm),assumptions([h13,h11,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__3)],[h13,30,h14])).
% 78.68/78.83 thf(32,plain,$false,inference(tab_negall,[status(thm),assumptions([h11,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__2)],[h11,31,h13])).
% 78.68/78.83 thf(h21,assumption,(~((![X1:a>b]:(![X2:a>b]:((~(((![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (eigen__6 @ X3)) @ (X1 @ X4))))) => (~((![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (X1 @ X3)) @ (X2 @ X4)))))))))) => (![X3:a]:(![X4:a]:(((eigen__0 @ X3) @ X4) => (((eigen__1 @ X3) @ (eigen__6 @ X3)) @ (X2 @ X4)))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h22,assumption,(~((![X1:a>b]:((~(((![X2:a]:(![X3:a]:(((eigen__0 @ X2) @ X3) => (((eigen__1 @ X2) @ (eigen__6 @ X2)) @ (eigen__7 @ X3))))) => (~((![X2:a]:(![X3:a]:(((eigen__0 @ X2) @ X3) => (((eigen__1 @ X2) @ (eigen__7 @ X2)) @ (X1 @ X3)))))))))) => (![X2:a]:(![X3:a]:(((eigen__0 @ X2) @ X3) => (((eigen__1 @ X2) @ (eigen__6 @ X2)) @ (X1 @ X3))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h23,assumption,(~(((~(((![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__6 @ X1)) @ (eigen__7 @ X2))))) => (~((![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__7 @ X1)) @ (eigen__8 @ X2)))))))))) => (![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__6 @ X1)) @ (eigen__8 @ X2)))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h24,assumption,(~(((![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__6 @ X1)) @ (eigen__7 @ X2))))) => (~((![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__7 @ X1)) @ (eigen__8 @ X2)))))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h25,assumption,(~((![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__6 @ X1)) @ (eigen__8 @ X2))))))),introduced(assumption,[])).
% 78.68/78.83 thf(h26,assumption,(![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__6 @ X1)) @ (eigen__7 @ X2))))),introduced(assumption,[])).
% 78.68/78.83 thf(h27,assumption,(![X1:a]:(![X2:a]:(((eigen__0 @ X1) @ X2) => (((eigen__1 @ X1) @ (eigen__7 @ X1)) @ (eigen__8 @ X2))))),introduced(assumption,[])).
% 78.68/78.83 thf(h28,assumption,(~((![X1:a]:(((eigen__0 @ eigen__9) @ X1) => (((eigen__1 @ eigen__9) @ (eigen__6 @ eigen__9)) @ (eigen__8 @ X1)))))),introduced(assumption,[])).
% 78.68/78.83 thf(h29,assumption,(~((((eigen__0 @ eigen__9) @ eigen__10) => (((eigen__1 @ eigen__9) @ (eigen__6 @ eigen__9)) @ (eigen__8 @ eigen__10))))),introduced(assumption,[])).
% 78.68/78.83 thf(h30,assumption,((eigen__0 @ eigen__9) @ eigen__10),introduced(assumption,[])).
% 78.68/78.83 thf(h31,assumption,(~((((eigen__1 @ eigen__9) @ (eigen__6 @ eigen__9)) @ (eigen__8 @ eigen__10)))),introduced(assumption,[])).
% 78.68/78.83 thf(ax1400, axiom, (~(p7)|p514), file('<stdin>', ax1400)).
% 78.68/78.83 thf(ax1404, axiom, (~(p6)|p512), file('<stdin>', ax1404)).
% 78.68/78.83 thf(ax1286, axiom, (~(p514)|p609), file('<stdin>', ax1286)).
% 78.68/78.83 thf(ax1424, axiom, p7, file('<stdin>', ax1424)).
% 78.68/78.83 thf(ax1302, axiom, (~(p512)|p597), file('<stdin>', ax1302)).
% 78.68/78.83 thf(ax1425, axiom, p6, file('<stdin>', ax1425)).
% 78.68/78.83 thf(ax1091, axiom, (~(p609)|~(p496)|p616), file('<stdin>', ax1091)).
% 78.68/78.83 thf(ax1110, axiom, (~(p597)|p751), file('<stdin>', ax1110)).
% 78.68/78.83 thf(pax496, axiom, (p496=>f__0 @ f__9 @ f__10), file('<stdin>', pax496)).
% 78.68/78.83 thf(pax616, axiom, (p616=>f__0 @ f__10 @ f__9), file('<stdin>', pax616)).
% 78.68/78.83 thf(ax1430, axiom, p496, file('<stdin>', ax1430)).
% 78.68/78.83 thf(ax1408, axiom, (~(p5)|p510), file('<stdin>', ax1408)).
% 78.68/78.83 thf(pax751, axiom, (p751=>(~((f__0 @ f__9 @ f__10=>~(f__0 @ f__10 @ f__9)))=>f__0 @ f__9 @ f__9)), file('<stdin>', pax751)).
% 78.68/78.83 thf(ax1319, axiom, (~(p510)|~(p584)|~(p585)), file('<stdin>', ax1319)).
% 78.68/78.83 thf(ax1426, axiom, p5, file('<stdin>', ax1426)).
% 78.68/78.83 thf(nax584, axiom, (p584<=f__0 @ f__9 @ f__9), file('<stdin>', nax584)).
% 78.68/78.83 thf(ax1420, axiom, (~(p497)|p502), file('<stdin>', ax1420)).
% 78.68/78.83 thf(ax1387, axiom, (~(p502)|p527), file('<stdin>', ax1387)).
% 78.68/78.83 thf(ax1429, axiom, p497, file('<stdin>', ax1429)).
% 78.68/78.83 thf(ax1263, axiom, (~(p527)|~(p496)|p630), file('<stdin>', ax1263)).
% 78.68/78.83 thf(pax687, axiom, (p687=>![X1:b, X2:b, X3:b]:(~((f__1 @ f__9 @ X1 @ X2=>~(f__1 @ f__9 @ X2 @ X3)))=>f__1 @ f__9 @ X1 @ X3)), file('<stdin>', pax687)).
% 78.68/78.83 thf(ax1182, axiom, (p585|p687), file('<stdin>', ax1182)).
% 78.68/78.83 thf(pax630, axiom, (p630=>f__1 @ f__9 @ (f__7 @ f__9) @ (f__8 @ f__10)), file('<stdin>', pax630)).
% 78.68/78.83 thf(pax498, axiom, (p498=>![X12:a, X13:a]:(f__0 @ X12 @ X13=>f__1 @ X12 @ (f__6 @ X12) @ (f__7 @ X13))), file('<stdin>', pax498)).
% 78.68/78.83 thf(nax495, axiom, (p495<=f__1 @ f__9 @ (f__6 @ f__9) @ (f__8 @ f__10)), file('<stdin>', nax495)).
% 78.68/78.83 thf(ax1431, axiom, ~(p495), file('<stdin>', ax1431)).
% 78.68/78.83 thf(ax1428, axiom, p498, file('<stdin>', ax1428)).
% 78.68/78.83 thf(c_0_27, plain, (~p7|p514), inference(fof_simplification,[status(thm)],[ax1400])).
% 78.68/78.83 thf(c_0_28, plain, (~p6|p512), inference(fof_simplification,[status(thm)],[ax1404])).
% 78.68/78.83 thf(c_0_29, plain, (~p514|p609), inference(fof_simplification,[status(thm)],[ax1286])).
% 78.68/78.83 thf(c_0_30, plain, (p514|~p7), inference(split_conjunct,[status(thm)],[c_0_27])).
% 78.68/78.83 thf(c_0_31, plain, p7, inference(split_conjunct,[status(thm)],[ax1424])).
% 78.68/78.83 thf(c_0_32, plain, (~p512|p597), inference(fof_simplification,[status(thm)],[ax1302])).
% 78.68/78.83 thf(c_0_33, plain, (p512|~p6), inference(split_conjunct,[status(thm)],[c_0_28])).
% 78.68/78.83 thf(c_0_34, plain, p6, inference(split_conjunct,[status(thm)],[ax1425])).
% 78.68/78.83 thf(c_0_35, plain, (~p609|~p496|p616), inference(fof_simplification,[status(thm)],[ax1091])).
% 78.68/78.83 thf(c_0_36, plain, (p609|~p514), inference(split_conjunct,[status(thm)],[c_0_29])).
% 78.68/78.83 thf(c_0_37, plain, p514, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 78.68/78.83 thf(c_0_38, plain, (~p597|p751), inference(fof_simplification,[status(thm)],[ax1110])).
% 78.68/78.83 thf(c_0_39, plain, (p597|~p512), inference(split_conjunct,[status(thm)],[c_0_32])).
% 78.68/78.83 thf(c_0_40, plain, p512, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 78.68/78.83 thf(c_0_41, plain, (~p496|f__0 @ f__9 @ f__10), inference(fof_nnf,[status(thm)],[pax496])).
% 78.68/78.83 thf(c_0_42, plain, (~p616|f__0 @ f__10 @ f__9), inference(fof_nnf,[status(thm)],[pax616])).
% 78.68/78.83 thf(c_0_43, plain, (p616|~p609|~p496), inference(split_conjunct,[status(thm)],[c_0_35])).
% 78.68/78.83 thf(c_0_44, plain, p496, inference(split_conjunct,[status(thm)],[ax1430])).
% 78.68/78.83 thf(c_0_45, plain, p609, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 78.68/78.83 thf(c_0_46, plain, (~p5|p510), inference(fof_simplification,[status(thm)],[ax1408])).
% 78.68/78.83 thf(c_0_47, plain, (~p751|(~f__0 @ f__9 @ f__10|~f__0 @ f__10 @ f__9|f__0 @ f__9 @ f__9)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax751])])).
% 78.68/78.83 thf(c_0_48, plain, (p751|~p597), inference(split_conjunct,[status(thm)],[c_0_38])).
% 78.68/78.83 thf(c_0_49, plain, p597, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])])).
% 78.68/78.83 thf(c_0_50, plain, (f__0 @ f__9 @ f__10|~p496), inference(split_conjunct,[status(thm)],[c_0_41])).
% 78.68/78.83 thf(c_0_51, plain, (f__0 @ f__10 @ f__9|~p616), inference(split_conjunct,[status(thm)],[c_0_42])).
% 78.68/78.83 thf(c_0_52, plain, p616, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44]), c_0_45])])).
% 78.68/78.83 thf(c_0_53, plain, (~p510|~p584|~p585), inference(fof_simplification,[status(thm)],[ax1319])).
% 78.68/78.83 thf(c_0_54, plain, (p510|~p5), inference(split_conjunct,[status(thm)],[c_0_46])).
% 78.68/78.83 thf(c_0_55, plain, p5, inference(split_conjunct,[status(thm)],[ax1426])).
% 78.68/78.83 thf(c_0_56, plain, (~f__0 @ f__9 @ f__9|p584), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax584])])).
% 78.68/78.83 thf(c_0_57, plain, (f__0 @ f__9 @ f__9|~p751|~f__0 @ f__9 @ f__10|~f__0 @ f__10 @ f__9), inference(split_conjunct,[status(thm)],[c_0_47])).
% 78.68/78.83 thf(c_0_58, plain, p751, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 78.68/78.83 thf(c_0_59, plain, f__0 @ f__9 @ f__10, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_44])])).
% 78.68/78.83 thf(c_0_60, plain, f__0 @ f__10 @ f__9, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])])).
% 78.68/78.83 thf(c_0_61, plain, (~p497|p502), inference(fof_simplification,[status(thm)],[ax1420])).
% 78.68/78.83 thf(c_0_62, plain, (~p510|~p584|~p585), inference(split_conjunct,[status(thm)],[c_0_53])).
% 78.68/78.83 thf(c_0_63, plain, p510, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
% 78.68/78.83 thf(c_0_64, plain, (p584|~f__0 @ f__9 @ f__9), inference(split_conjunct,[status(thm)],[c_0_56])).
% 78.68/78.83 thf(c_0_65, plain, f__0 @ f__9 @ f__9, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58]), c_0_59]), c_0_60])])).
% 78.68/78.83 thf(c_0_66, plain, (~p502|p527), inference(fof_simplification,[status(thm)],[ax1387])).
% 78.68/78.83 thf(c_0_67, plain, (p502|~p497), inference(split_conjunct,[status(thm)],[c_0_61])).
% 78.68/78.83 thf(c_0_68, plain, p497, inference(split_conjunct,[status(thm)],[ax1429])).
% 78.68/78.83 thf(c_0_69, plain, (~p584|~p585), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
% 78.68/78.83 thf(c_0_70, plain, p584, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])).
% 78.68/78.83 thf(c_0_71, plain, (~p527|~p496|p630), inference(fof_simplification,[status(thm)],[ax1263])).
% 78.68/78.83 thf(c_0_72, plain, (p527|~p502), inference(split_conjunct,[status(thm)],[c_0_66])).
% 78.68/78.83 thf(c_0_73, plain, p502, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 78.68/78.83 thf(c_0_74, plain, ![X859:b, X860:b, X861:b]:(~p687|(~f__1 @ f__9 @ X859 @ X860|~f__1 @ f__9 @ X860 @ X861|f__1 @ f__9 @ X859 @ X861)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax687])])])])).
% 78.68/78.83 thf(c_0_75, plain, (p585|p687), inference(split_conjunct,[status(thm)],[ax1182])).
% 78.68/78.83 thf(c_0_76, plain, ~p585, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])])).
% 78.68/78.83 thf(c_0_77, plain, (~p630|f__1 @ f__9 @ (f__7 @ f__9) @ (f__8 @ f__10)), inference(fof_nnf,[status(thm)],[pax630])).
% 78.68/78.83 thf(c_0_78, plain, (p630|~p527|~p496), inference(split_conjunct,[status(thm)],[c_0_71])).
% 78.68/78.83 thf(c_0_79, plain, p527, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])).
% 78.68/78.83 thf(c_0_80, plain, ![X1:b, X2:b, X3:b]:(f__1 @ f__9 @ X1 @ X3|~p687|~f__1 @ f__9 @ X1 @ X2|~f__1 @ f__9 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_74])).
% 78.68/78.83 thf(c_0_81, plain, p687, inference(sr,[status(thm)],[c_0_75, c_0_76])).
% 78.68/78.83 thf(c_0_82, plain, (f__1 @ f__9 @ (f__7 @ f__9) @ (f__8 @ f__10)|~p630), inference(split_conjunct,[status(thm)],[c_0_77])).
% 78.68/78.83 thf(c_0_83, plain, p630, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_44]), c_0_79])])).
% 78.68/78.83 thf(c_0_84, plain, ![X1035:a, X1036:a]:(~p498|(~f__0 @ X1035 @ X1036|f__1 @ X1035 @ (f__6 @ X1035) @ (f__7 @ X1036))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax498])])])).
% 78.68/78.83 thf(c_0_85, plain, (~f__1 @ f__9 @ (f__6 @ f__9) @ (f__8 @ f__10)|p495), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax495])])).
% 78.68/78.83 thf(c_0_86, plain, ~p495, inference(fof_simplification,[status(thm)],[ax1431])).
% 78.68/78.83 thf(c_0_87, plain, ![X1:b, X2:b, X3:b]:(f__1 @ f__9 @ X1 @ X2|~f__1 @ f__9 @ X3 @ X2|~f__1 @ f__9 @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
% 78.68/78.83 thf(c_0_88, plain, f__1 @ f__9 @ (f__7 @ f__9) @ (f__8 @ f__10), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83])])).
% 78.68/78.83 thf(c_0_89, plain, ![X4:a, X6:a]:(f__1 @ X4 @ (f__6 @ X4) @ (f__7 @ X6)|~p498|~f__0 @ X4 @ X6), inference(split_conjunct,[status(thm)],[c_0_84])).
% 78.68/78.83 thf(c_0_90, plain, p498, inference(split_conjunct,[status(thm)],[ax1428])).
% 78.68/78.83 thf(c_0_91, plain, (p495|~f__1 @ f__9 @ (f__6 @ f__9) @ (f__8 @ f__10)), inference(split_conjunct,[status(thm)],[c_0_85])).
% 78.68/78.83 thf(c_0_92, plain, ~p495, inference(split_conjunct,[status(thm)],[c_0_86])).
% 78.68/78.83 thf(c_0_93, plain, ![X1:b]:(f__1 @ f__9 @ X1 @ (f__8 @ f__10)|~f__1 @ f__9 @ X1 @ (f__7 @ f__9)), inference(spm,[status(thm)],[c_0_87, c_0_88])).
% 78.68/78.83 thf(c_0_94, plain, ![X4:a, X6:a]:(f__1 @ X4 @ (f__6 @ X4) @ (f__7 @ X6)|~f__0 @ X4 @ X6), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
% 78.68/78.83 thf(c_0_95, plain, ~f__1 @ f__9 @ (f__6 @ f__9) @ (f__8 @ f__10), inference(sr,[status(thm)],[c_0_91, c_0_92])).
% 78.68/78.83 thf(c_0_96, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_65])]), c_0_95]), ['proof']).
% 78.68/78.83 thf(33,plain,$false,inference(eprover,[status(thm),assumptions([h30,h31,h29,h28,h26,h27,h24,h25,h23,h22,h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0])],[])).
% 78.68/78.83 thf(34,plain,$false,inference(tab_negimp,[status(thm),assumptions([h29,h28,h26,h27,h24,h25,h23,h22,h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,33,h30,h31])).
% 78.68/78.83 thf(35,plain,$false,inference(tab_negall,[status(thm),assumptions([h28,h26,h27,h24,h25,h23,h22,h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h29]),tab_negall(eigenvar,eigen__10)],[h28,34,h29])).
% 78.68/78.83 thf(36,plain,$false,inference(tab_negall,[status(thm),assumptions([h26,h27,h24,h25,h23,h22,h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h28]),tab_negall(eigenvar,eigen__9)],[h25,35,h28])).
% 78.68/78.83 thf(37,plain,$false,inference(tab_negimp,[status(thm),assumptions([h24,h25,h23,h22,h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h26,h27])],[h24,36,h26,h27])).
% 78.68/78.83 thf(38,plain,$false,inference(tab_negimp,[status(thm),assumptions([h23,h22,h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h24,h25])],[h23,37,h24,h25])).
% 78.68/78.83 thf(39,plain,$false,inference(tab_negall,[status(thm),assumptions([h22,h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h23]),tab_negall(eigenvar,eigen__8)],[h22,38,h23])).
% 78.68/78.83 thf(40,plain,$false,inference(tab_negall,[status(thm),assumptions([h21,h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h22]),tab_negall(eigenvar,eigen__7)],[h21,39,h22])).
% 78.68/78.83 thf(41,plain,$false,inference(tab_negall,[status(thm),assumptions([h12,h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negall(discharge,[h21]),tab_negall(eigenvar,eigen__6)],[h12,40,h21])).
% 78.68/78.83 thf(42,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h12])],[h4,32,41,h11,h12])).
% 78.68/78.83 thf(43,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h9,h10])],[h7,42,h9,h10])).
% 78.68/78.83 thf(44,plain,$false,inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h2,h1,h0]),tab_negimp(discharge,[h7,h8])],[h5,43,h7,h8])).
% 78.68/78.83 thf(45,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h4,h2,h1,h0]),tab_negimp(discharge,[h5,h6])],[h3,44,h5,h6])).
% 78.68/78.83 thf(46,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h3,h4])],[h2,45,h3,h4])).
% 78.68/78.83 thf(47,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,46,h2])).
% 78.68/78.83 thf(48,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,47,h1])).
% 78.68/78.83 thf(0,theorem,(![X1:a>a>$o]:(![X2:a>b>b>$o]:((~(((~(((~(((![X3:a]:(![X4:a]:(((X1 @ X3) @ X4) => ((X1 @ X4) @ X3)))) => (~((![X3:a]:(![X4:a]:(![X5:a]:((~((((X1 @ X3) @ X4) => (~(((X1 @ X4) @ X5)))))) => ((X1 @ X3) @ X5)))))))))) => (~((![X3:a]:(((X1 @ X3) @ X3) => (~(((![X4:b]:(![X5:b]:((((X2 @ X3) @ X4) @ X5) => (((X2 @ X3) @ X5) @ X4)))) => (~((![X4:b]:(![X5:b]:(![X6:b]:((~(((((X2 @ X3) @ X4) @ X5) => (~((((X2 @ X3) @ X5) @ X6)))))) => (((X2 @ X3) @ X4) @ X6))))))))))))))))) => (~((![X3:a]:(![X4:a]:(((X1 @ X3) @ X4) => ((X2 @ X3) = (X2 @ X4)))))))))) => (~(((![X3:a>b]:(![X4:a>b]:((![X5:a]:(![X6:a]:(((X1 @ X5) @ X6) => (((X2 @ X5) @ (X3 @ X5)) @ (X4 @ X6))))) => (![X5:a]:(![X6:a]:(((X1 @ X5) @ X6) => (((X2 @ X5) @ (X4 @ X5)) @ (X3 @ X6)))))))) => (~((![X3:a>b]:(![X4:a>b]:(![X5:a>b]:((~(((![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X3 @ X6)) @ (X4 @ X7))))) => (~((![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X4 @ X6)) @ (X5 @ X7)))))))))) => (![X6:a]:(![X7:a]:(((X1 @ X6) @ X7) => (((X2 @ X6) @ (X3 @ X6)) @ (X5 @ X7))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[48,h0])).
% 78.68/78.83 % SZS output end Proof
%------------------------------------------------------------------------------