TSTP Solution File: SEV153^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV153^5 : 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 : 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 : Tue Jul 19 18:05:06 EDT 2022
% Result : Theorem 216.49s 216.55s
% Output : Proof 216.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV153^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 28 13:31:14 EDT 2022
% 0.12/0.32 % CPUTime :
% 216.49/216.55 % SZS status Theorem
% 216.49/216.55 % Mode: mode447
% 216.49/216.55 % Inferences: 113
% 216.49/216.55 % SZS output start Proof
% 216.49/216.55 thf(ty_a, type, a : $tType).
% 216.49/216.55 thf(ty_eigen__6, type, eigen__6 : a).
% 216.49/216.55 thf(ty_eigen__12, type, eigen__12 : (a>$o)).
% 216.49/216.55 thf(ty_eigen__2, type, eigen__2 : a).
% 216.49/216.55 thf(ty_eigen__16, type, eigen__16 : a).
% 216.49/216.55 thf(ty_eigen__7, type, eigen__7 : (a>$o)).
% 216.49/216.55 thf(ty_eigen__1, type, eigen__1 : (a>a>$o)).
% 216.49/216.55 thf(ty_eigen__0, type, eigen__0 : (a>a>$o)).
% 216.49/216.55 thf(ty_eigen__4, type, eigen__4 : (a>$o)).
% 216.49/216.55 thf(ty_eigen__5, type, eigen__5 : a).
% 216.49/216.55 thf(ty_eigen__19, type, eigen__19 : (a>$o)).
% 216.49/216.55 thf(ty_eigen__3, type, eigen__3 : a).
% 216.49/216.55 thf(ty_eigen__17, type, eigen__17 : a).
% 216.49/216.55 thf(ty_eigen__18, type, eigen__18 : a).
% 216.49/216.55 thf(sP1,plain,sP1 <=> (eigen__4 @ eigen__3),introduced(definition,[new_symbols(definition,[sP1])])).
% 216.49/216.55 thf(sP2,plain,sP2 <=> ((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__4 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__4 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__4 @ X2))))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 216.49/216.55 thf(sP3,plain,sP3 <=> ((~(sP2)) => sP1),introduced(definition,[new_symbols(definition,[sP3])])).
% 216.49/216.55 thf(sP4,plain,sP4 <=> (![X1:a]:(![X2:a]:((~(((eigen__4 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__4 @ X2)))),introduced(definition,[new_symbols(definition,[sP4])])).
% 216.49/216.55 thf(sP5,plain,sP5 <=> (![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__2) @ X2))) => ((eigen__1 @ eigen__2) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__3))),introduced(definition,[new_symbols(definition,[sP5])])).
% 216.49/216.55 thf(sP6,plain,sP6 <=> (![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__4 @ X1))),introduced(definition,[new_symbols(definition,[sP6])])).
% 216.49/216.55 thf(cTHM251H_pme,conjecture,(![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~(((~(((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~((![X5:a]:(![X6:a]:(((~((![X7:a>$o]:((~(((![X8:a]:(((X1 @ X5) @ X8) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((X1 @ X8) @ X9)))))) => (X7 @ X9))))))))) => (X7 @ X6))))) => (![X7:a>$o]:((~(((![X8:a]:(((X2 @ X5) @ X8) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((X2 @ X8) @ X9)))))) => (X7 @ X9))))))))) => (X7 @ X6)))) => (![X7:a>$o]:((~(((![X8:a]:(((~(((X1 @ X5) @ X8))) => ((X2 @ X5) @ X8)) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((~(((X1 @ X8) @ X9))) => ((X2 @ X8) @ X9))))))) => (X7 @ X9))))))))) => (X7 @ X6))))))))))) => (~((![X5:a]:(![X6:a]:(![X7:a]:((~(((![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X6))) => (~((![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X6) @ X9))) => ((X2 @ X6) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7)))))))) => (![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7)))))))))))))))))).
% 216.49/216.55 thf(h0,negated_conjecture,(~((![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~(((~(((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~((![X5:a]:(![X6:a]:(((~((![X7:a>$o]:((~(((![X8:a]:(((X1 @ X5) @ X8) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((X1 @ X8) @ X9)))))) => (X7 @ X9))))))))) => (X7 @ X6))))) => (![X7:a>$o]:((~(((![X8:a]:(((X2 @ X5) @ X8) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((X2 @ X8) @ X9)))))) => (X7 @ X9))))))))) => (X7 @ X6)))) => (![X7:a>$o]:((~(((![X8:a]:(((~(((X1 @ X5) @ X8))) => ((X2 @ X5) @ X8)) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((~(((X1 @ X8) @ X9))) => ((X2 @ X8) @ X9))))))) => (X7 @ X9))))))))) => (X7 @ X6))))))))))) => (~((![X5:a]:(![X6:a]:(![X7:a]:((~(((![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X6))) => (~((![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X6) @ X9))) => ((X2 @ X6) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7)))))))) => (![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7))))))))))))))))))),inference(assume_negation,[status(cth)],[cTHM251H_pme])).
% 216.49/216.55 thf(h1,assumption,(~((![X1:a>a>$o]:(![X2:a]:(![X3:a]:((~((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((X1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((X1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3))))) => (~(((~(((~((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((X1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((X1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3))))) => (~((![X4:a]:(![X5:a]:(((~((![X6:a>$o]:((~(((![X7:a]:(((eigen__0 @ X4) @ X7) => (X6 @ X7))) => (~((![X7:a]:(![X8:a]:((~(((X6 @ X7) => (~(((eigen__0 @ X7) @ X8)))))) => (X6 @ X8))))))))) => (X6 @ X5))))) => (![X6:a>$o]:((~(((![X7:a]:(((X1 @ X4) @ X7) => (X6 @ X7))) => (~((![X7:a]:(![X8:a]:((~(((X6 @ X7) => (~(((X1 @ X7) @ X8)))))) => (X6 @ X8))))))))) => (X6 @ X5)))) => (![X6:a>$o]:((~(((![X7:a]:(((~(((eigen__0 @ X4) @ X7))) => ((X1 @ X4) @ X7)) => (X6 @ X7))) => (~((![X7:a]:(![X8:a]:((~(((X6 @ X7) => (~(((~(((eigen__0 @ X7) @ X8))) => ((X1 @ X7) @ X8))))))) => (X6 @ X8))))))))) => (X6 @ X5))))))))))) => (~((![X4:a]:(![X5:a]:(![X6:a]:((~(((![X7:a>$o]:((~(((![X8:a]:(((~(((eigen__0 @ X4) @ X8))) => ((X1 @ X4) @ X8)) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((~(((eigen__0 @ X8) @ X9))) => ((X1 @ X8) @ X9))))))) => (X7 @ X9))))))))) => (X7 @ X5))) => (~((![X7:a>$o]:((~(((![X8:a]:(((~(((eigen__0 @ X5) @ X8))) => ((X1 @ X5) @ X8)) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((~(((eigen__0 @ X8) @ X9))) => ((X1 @ X8) @ X9))))))) => (X7 @ X9))))))))) => (X7 @ X6)))))))) => (![X7:a>$o]:((~(((![X8:a]:(((~(((eigen__0 @ X4) @ X8))) => ((X1 @ X4) @ X8)) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((~(((eigen__0 @ X8) @ X9))) => ((X1 @ X8) @ X9))))))) => (X7 @ X9))))))))) => (X7 @ X6)))))))))))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h2,assumption,(~((![X1:a]:(![X2:a]:((~((![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2))))) => (~(((~(((~((![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2))))) => (~((![X3:a]:(![X4:a]:(((~((![X5:a>$o]:((~(((![X6:a]:(((eigen__0 @ X3) @ X6) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((eigen__0 @ X6) @ X7)))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (![X5:a>$o]:((~(((![X6:a]:(((eigen__1 @ X3) @ X6) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((eigen__1 @ X6) @ X7)))))) => (X5 @ X7))))))))) => (X5 @ X4)))) => (![X5:a>$o]:((~(((![X6:a]:(((~(((eigen__0 @ X3) @ X6))) => ((eigen__1 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((eigen__0 @ X6) @ X7))) => ((eigen__1 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))))))))) => (~((![X3:a]:(![X4:a]:(![X5:a]:((~(((![X6:a>$o]:((~(((![X7:a]:(((~(((eigen__0 @ X3) @ X7))) => ((eigen__1 @ X3) @ X7)) => (X6 @ X7))) => (~((![X7:a]:(![X8:a]:((~(((X6 @ X7) => (~(((~(((eigen__0 @ X7) @ X8))) => ((eigen__1 @ X7) @ X8))))))) => (X6 @ X8))))))))) => (X6 @ X4))) => (~((![X6:a>$o]:((~(((![X7:a]:(((~(((eigen__0 @ X4) @ X7))) => ((eigen__1 @ X4) @ X7)) => (X6 @ X7))) => (~((![X7:a]:(![X8:a]:((~(((X6 @ X7) => (~(((~(((eigen__0 @ X7) @ X8))) => ((eigen__1 @ X7) @ X8))))))) => (X6 @ X8))))))))) => (X6 @ X5)))))))) => (![X6:a>$o]:((~(((![X7:a]:(((~(((eigen__0 @ X3) @ X7))) => ((eigen__1 @ X3) @ X7)) => (X6 @ X7))) => (~((![X7:a]:(![X8:a]:((~(((X6 @ X7) => (~(((~(((eigen__0 @ X7) @ X8))) => ((eigen__1 @ X7) @ X8))))))) => (X6 @ X8))))))))) => (X6 @ X5))))))))))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h3,assumption,(~((![X1:a]:((~((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__2) @ X3))) => ((eigen__1 @ eigen__2) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1))))) => (~(((~(((~((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__2) @ X3))) => ((eigen__1 @ eigen__2) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1))))) => (~((![X2:a]:(![X3:a]:(((~((![X4:a>$o]:((~(((![X5:a]:(((eigen__0 @ X2) @ X5) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((eigen__0 @ X5) @ X6)))))) => (X4 @ X6))))))))) => (X4 @ X3))))) => (![X4:a>$o]:((~(((![X5:a]:(((eigen__1 @ X2) @ X5) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((eigen__1 @ X5) @ X6)))))) => (X4 @ X6))))))))) => (X4 @ X3)))) => (![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((eigen__1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3))))))))))) => (~((![X2:a]:(![X3:a]:(![X4:a]:((~(((![X5:a>$o]:((~(((![X6:a]:(((~(((eigen__0 @ X2) @ X6))) => ((eigen__1 @ X2) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((eigen__0 @ X6) @ X7))) => ((eigen__1 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X3))) => (~((![X5:a>$o]:((~(((![X6:a]:(((~(((eigen__0 @ X3) @ X6))) => ((eigen__1 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((eigen__0 @ X6) @ X7))) => ((eigen__1 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4)))))))) => (![X5:a>$o]:((~(((![X6:a]:(((~(((eigen__0 @ X2) @ X6))) => ((eigen__1 @ X2) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((eigen__0 @ X6) @ X7))) => ((eigen__1 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4)))))))))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h4,assumption,(~(((~(sP5)) => (~(((~(((~(sP5)) => (~((![X1:a]:(![X2:a]:(((~((![X3:a>$o]:((~(((![X4:a]:(((eigen__0 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__0 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2))))) => (![X3:a>$o]:((~(((![X4:a]:(((eigen__1 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__1 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2)))) => (![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2))))))))))) => (~((![X1:a]:(![X2:a]:(![X3:a]:((~(((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X2))) => (~((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((eigen__1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))) => (![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3))))))))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h5,assumption,(~(sP5)),introduced(assumption,[])).
% 216.49/216.55 thf(h6,assumption,((~(((~(sP5)) => (~((![X1:a]:(![X2:a]:(((~((![X3:a>$o]:((~(((![X4:a]:(((eigen__0 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__0 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2))))) => (![X3:a>$o]:((~(((![X4:a]:(((eigen__1 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__1 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2)))) => (![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2))))))))))) => (~((![X1:a]:(![X2:a]:(![X3:a]:((~(((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X2))) => (~((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((eigen__1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))) => (![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h7,assumption,(~(sP3)),introduced(assumption,[])).
% 216.49/216.55 thf(h8,assumption,(~(sP2)),introduced(assumption,[])).
% 216.49/216.55 thf(h9,assumption,(~(sP1)),introduced(assumption,[])).
% 216.49/216.55 thf(h10,assumption,sP6,introduced(assumption,[])).
% 216.49/216.55 thf(h11,assumption,sP4,introduced(assumption,[])).
% 216.49/216.55 thf(h12,assumption,((~(sP5)) => (~((![X1:a]:(![X2:a]:(((~((![X3:a>$o]:((~(((![X4:a]:(((eigen__0 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__0 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2))))) => (![X3:a>$o]:((~(((![X4:a]:(((eigen__1 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__1 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2)))) => (![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h13,assumption,(~((![X1:a]:(![X2:a]:(![X3:a]:((~(((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X2))) => (~((![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((eigen__1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))) => (![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h14,assumption,sP5,introduced(assumption,[])).
% 216.49/216.55 thf(h15,assumption,(~((![X1:a]:(![X2:a]:(((~((![X3:a>$o]:((~(((![X4:a]:(((eigen__0 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__0 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2))))) => (![X3:a>$o]:((~(((![X4:a]:(((eigen__1 @ X1) @ X4) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((eigen__1 @ X4) @ X5)))))) => (X3 @ X5))))))))) => (X3 @ X2)))) => (![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2)))))))),introduced(assumption,[])).
% 216.49/216.55 thf(1,plain,((~(sP3) | sP2) | sP1),inference(prop_rule,[status(thm)],[])).
% 216.49/216.55 thf(2,plain,((~(sP2) | ~(sP6)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 216.49/216.55 thf(3,plain,(~(sP5) | sP3),inference(all_rule,[status(thm)],[])).
% 216.49/216.55 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[1,2,3,h10,h11,h9,h14])).
% 216.49/216.55 thf(h16,assumption,(~((![X1:a]:(((~((![X2:a>$o]:((~(((![X3:a]:(((eigen__0 @ eigen__5) @ X3) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((eigen__0 @ X3) @ X4)))))) => (X2 @ X4))))))))) => (X2 @ X1))))) => (![X2:a>$o]:((~(((![X3:a]:(((eigen__1 @ eigen__5) @ X3) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((eigen__1 @ X3) @ X4)))))) => (X2 @ X4))))))))) => (X2 @ X1)))) => (![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__5) @ X3))) => ((eigen__1 @ eigen__5) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h17,assumption,(~((((~((![X1:a>$o]:((~(((![X2:a]:(((eigen__0 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6))))) => (![X1:a>$o]:((~(((![X2:a]:(((eigen__1 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__1 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6)))) => (![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__5) @ X2))) => ((eigen__1 @ eigen__5) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__6)))))),introduced(assumption,[])).
% 216.49/216.55 thf(h18,assumption,((~((![X1:a>$o]:((~(((![X2:a]:(((eigen__0 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6))))) => (![X1:a>$o]:((~(((![X2:a]:(((eigen__1 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__1 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6)))),introduced(assumption,[])).
% 216.49/216.55 thf(h19,assumption,(~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__5) @ X2))) => ((eigen__1 @ eigen__5) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__6))))),introduced(assumption,[])).
% 216.49/216.55 thf(h20,assumption,(![X1:a>$o]:((~(((![X2:a]:(((eigen__0 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6))),introduced(assumption,[])).
% 216.49/216.55 thf(h21,assumption,(![X1:a>$o]:((~(((![X2:a]:(((eigen__1 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__1 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6))),introduced(assumption,[])).
% 216.49/216.55 thf(h22,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__7 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__7 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__7 @ X2))))))))) => (eigen__7 @ eigen__6)))),introduced(assumption,[])).
% 216.49/216.55 thf(h23,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__7 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__7 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__7 @ X2))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h24,assumption,(~((eigen__7 @ eigen__6))),introduced(assumption,[])).
% 216.49/216.55 thf(h25,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__7 @ X1))),introduced(assumption,[])).
% 216.49/216.55 thf(h26,assumption,(![X1:a]:(![X2:a]:((~(((eigen__7 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__7 @ X2)))),introduced(assumption,[])).
% 216.49/216.55 thf(ax93, axiom, (~(p11)|p19), file('<stdin>', ax93)).
% 216.49/216.55 thf(nax8, axiom, (p8<=f__7 @ f__6), file('<stdin>', nax8)).
% 216.49/216.55 thf(ax106, axiom, ~(p8), file('<stdin>', ax106)).
% 216.49/216.55 thf(pax19, axiom, (p19=>(~((![X1:a]:(f__0 @ f__5 @ X1=>f__7 @ X1)=>~(![X1:a, X2:a]:(~((f__7 @ X1=>~(f__0 @ X1 @ X2)))=>f__7 @ X2))))=>f__7 @ f__6)), file('<stdin>', pax19)).
% 216.49/216.55 thf(ax103, axiom, p11, file('<stdin>', ax103)).
% 216.49/216.55 thf(pax10, axiom, (p10=>![X1:a]:((~(f__0 @ f__5 @ X1)=>f__1 @ f__5 @ X1)=>f__7 @ X1)), file('<stdin>', pax10)).
% 216.49/216.55 thf(pax9, axiom, (p9=>![X1:a, X2:a]:(~((f__7 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__7 @ X2)), file('<stdin>', pax9)).
% 216.49/216.55 thf(ax104, axiom, p10, file('<stdin>', ax104)).
% 216.49/216.55 thf(ax105, axiom, p9, file('<stdin>', ax105)).
% 216.49/216.55 thf(c_0_9, plain, (~p11|p19), inference(fof_simplification,[status(thm)],[ax93])).
% 216.49/216.55 thf(c_0_10, plain, (~f__7 @ f__6|p8), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax8])])).
% 216.49/216.55 thf(c_0_11, plain, ~p8, inference(fof_simplification,[status(thm)],[ax106])).
% 216.49/216.55 thf(c_0_12, plain, ((((f__7 @ esk83_0|f__0 @ f__5 @ esk82_0|f__7 @ f__6|~p19)&(f__0 @ esk83_0 @ esk84_0|f__0 @ f__5 @ esk82_0|f__7 @ f__6|~p19))&(~f__7 @ esk84_0|f__0 @ f__5 @ esk82_0|f__7 @ f__6|~p19))&(((f__7 @ esk83_0|~f__7 @ esk82_0|f__7 @ f__6|~p19)&(f__0 @ esk83_0 @ esk84_0|~f__7 @ esk82_0|f__7 @ f__6|~p19))&(~f__7 @ esk84_0|~f__7 @ esk82_0|f__7 @ f__6|~p19))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax19])])])])])).
% 216.49/216.55 thf(c_0_13, plain, (p19|~p11), inference(split_conjunct,[status(thm)],[c_0_9])).
% 216.49/216.55 thf(c_0_14, plain, p11, inference(split_conjunct,[status(thm)],[ax103])).
% 216.49/216.55 thf(c_0_15, plain, (p8|~f__7 @ f__6), inference(split_conjunct,[status(thm)],[c_0_10])).
% 216.49/216.55 thf(c_0_16, plain, ~p8, inference(split_conjunct,[status(thm)],[c_0_11])).
% 216.49/216.55 thf(c_0_17, plain, ![X187:a]:((~f__0 @ f__5 @ X187|f__7 @ X187|~p10)&(~f__1 @ f__5 @ X187|f__7 @ X187|~p10)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax10])])])])])).
% 216.49/216.55 thf(c_0_18, plain, ![X189:a, X190:a]:((~f__0 @ X189 @ X190|~f__7 @ X189|f__7 @ X190|~p9)&(~f__1 @ X189 @ X190|~f__7 @ X189|f__7 @ X190|~p9)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax9])])])])])).
% 216.49/216.55 thf(c_0_19, plain, (f__0 @ esk83_0 @ esk84_0|f__7 @ f__6|~f__7 @ esk82_0|~p19), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_20, plain, p19, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 216.49/216.55 thf(c_0_21, plain, ~f__7 @ f__6, inference(sr,[status(thm)],[c_0_15, c_0_16])).
% 216.49/216.55 thf(c_0_22, plain, ![X1:a]:(f__7 @ X1|~f__0 @ f__5 @ X1|~p10), inference(split_conjunct,[status(thm)],[c_0_17])).
% 216.49/216.55 thf(c_0_23, plain, p10, inference(split_conjunct,[status(thm)],[ax104])).
% 216.49/216.55 thf(c_0_24, plain, (f__0 @ esk83_0 @ esk84_0|f__0 @ f__5 @ esk82_0|f__7 @ f__6|~p19), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_25, plain, ![X2:a, X1:a]:(f__7 @ X2|~f__0 @ X1 @ X2|~f__7 @ X1|~p9), inference(split_conjunct,[status(thm)],[c_0_18])).
% 216.49/216.55 thf(c_0_26, plain, p9, inference(split_conjunct,[status(thm)],[ax105])).
% 216.49/216.55 thf(c_0_27, plain, (f__0 @ esk83_0 @ esk84_0|~f__7 @ esk82_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_28, plain, ![X1:a]:(f__7 @ X1|~f__0 @ f__5 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.49/216.55 thf(c_0_29, plain, (f__0 @ esk83_0 @ esk84_0|f__0 @ f__5 @ esk82_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_30, plain, (f__7 @ f__6|~f__7 @ esk84_0|~f__7 @ esk82_0|~p19), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_31, plain, ![X1:a, X2:a]:(f__7 @ X1|~f__0 @ X2 @ X1|~f__7 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 216.49/216.55 thf(c_0_32, plain, f__0 @ esk83_0 @ esk84_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
% 216.49/216.55 thf(c_0_33, plain, (f__7 @ esk83_0|f__7 @ f__6|~f__7 @ esk82_0|~p19), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_34, plain, (~f__7 @ esk82_0|~f__7 @ esk84_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_35, plain, (f__7 @ esk84_0|~f__7 @ esk83_0), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 216.49/216.55 thf(c_0_36, plain, (f__7 @ esk83_0|~f__7 @ esk82_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_37, plain, (f__7 @ esk83_0|f__0 @ f__5 @ esk82_0|f__7 @ f__6|~p19), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_38, plain, ~f__7 @ esk82_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
% 216.49/216.55 thf(c_0_39, plain, (f__0 @ f__5 @ esk82_0|f__7 @ esk83_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_40, plain, ~f__0 @ f__5 @ esk82_0, inference(spm,[status(thm)],[c_0_38, c_0_28])).
% 216.49/216.55 thf(c_0_41, plain, (f__0 @ f__5 @ esk82_0|f__7 @ f__6|~f__7 @ esk84_0|~p19), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_42, plain, f__7 @ esk83_0, inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 216.49/216.55 thf(c_0_43, plain, (f__0 @ f__5 @ esk82_0|~f__7 @ esk84_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_44, plain, f__7 @ esk84_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_42])])).
% 216.49/216.55 thf(c_0_45, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])]), c_0_40]), ['proof']).
% 216.49/216.55 thf(5,plain,$false,inference(eprover,[status(thm),assumptions([h25,h26,h23,h24,h22,h20,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.49/216.55 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h23,h24,h22,h20,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h25,h26])],[h23,5,h25,h26])).
% 216.49/216.55 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h22,h20,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h24])],[h22,6,h23,h24])).
% 216.49/216.55 thf(8,plain,$false,inference(tab_negall,[status(thm),assumptions([h20,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h22]),tab_negall(eigenvar,eigen__7)],[h19,7,h22])).
% 216.49/216.55 thf(h27,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__12 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__12 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__12 @ X2))))))))) => (eigen__12 @ eigen__6)))),introduced(assumption,[])).
% 216.49/216.55 thf(h28,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__12 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__12 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__12 @ X2))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h29,assumption,(~((eigen__12 @ eigen__6))),introduced(assumption,[])).
% 216.49/216.55 thf(h30,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__12 @ X1))),introduced(assumption,[])).
% 216.49/216.55 thf(h31,assumption,(![X1:a]:(![X2:a]:((~(((eigen__12 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__12 @ X2)))),introduced(assumption,[])).
% 216.49/216.55 thf(ax93, axiom, (~(p112)|p158), file('<stdin>', ax93)).
% 216.49/216.55 thf(nax109, axiom, (p109<=f__12 @ f__6), file('<stdin>', nax109)).
% 216.49/216.55 thf(ax144, axiom, ~(p109), file('<stdin>', ax144)).
% 216.49/216.55 thf(pax158, axiom, (p158=>(~((![X1:a]:(f__1 @ f__5 @ X1=>f__12 @ X1)=>~(![X1:a, X2:a]:(~((f__12 @ X1=>~(f__1 @ X1 @ X2)))=>f__12 @ X2))))=>f__12 @ f__6)), file('<stdin>', pax158)).
% 216.49/216.55 thf(ax141, axiom, p112, file('<stdin>', ax141)).
% 216.49/216.55 thf(pax111, axiom, (p111=>![X1:a]:((~(f__0 @ f__5 @ X1)=>f__1 @ f__5 @ X1)=>f__12 @ X1)), file('<stdin>', pax111)).
% 216.49/216.55 thf(pax110, axiom, (p110=>![X1:a, X2:a]:(~((f__12 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__12 @ X2)), file('<stdin>', pax110)).
% 216.49/216.55 thf(ax142, axiom, p111, file('<stdin>', ax142)).
% 216.49/216.55 thf(ax143, axiom, p110, file('<stdin>', ax143)).
% 216.49/216.55 thf(c_0_9, plain, (~p112|p158), inference(fof_simplification,[status(thm)],[ax93])).
% 216.49/216.55 thf(c_0_10, plain, (~f__12 @ f__6|p109), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax109])])).
% 216.49/216.55 thf(c_0_11, plain, ~p109, inference(fof_simplification,[status(thm)],[ax144])).
% 216.49/216.55 thf(c_0_12, plain, ((((f__12 @ esk27_0|f__1 @ f__5 @ esk26_0|f__12 @ f__6|~p158)&(f__1 @ esk27_0 @ esk28_0|f__1 @ f__5 @ esk26_0|f__12 @ f__6|~p158))&(~f__12 @ esk28_0|f__1 @ f__5 @ esk26_0|f__12 @ f__6|~p158))&(((f__12 @ esk27_0|~f__12 @ esk26_0|f__12 @ f__6|~p158)&(f__1 @ esk27_0 @ esk28_0|~f__12 @ esk26_0|f__12 @ f__6|~p158))&(~f__12 @ esk28_0|~f__12 @ esk26_0|f__12 @ f__6|~p158))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax158])])])])])).
% 216.49/216.55 thf(c_0_13, plain, (p158|~p112), inference(split_conjunct,[status(thm)],[c_0_9])).
% 216.49/216.55 thf(c_0_14, plain, p112, inference(split_conjunct,[status(thm)],[ax141])).
% 216.49/216.55 thf(c_0_15, plain, (p109|~f__12 @ f__6), inference(split_conjunct,[status(thm)],[c_0_10])).
% 216.49/216.55 thf(c_0_16, plain, ~p109, inference(split_conjunct,[status(thm)],[c_0_11])).
% 216.49/216.55 thf(c_0_17, plain, ![X231:a]:((~f__0 @ f__5 @ X231|f__12 @ X231|~p111)&(~f__1 @ f__5 @ X231|f__12 @ X231|~p111)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax111])])])])])).
% 216.49/216.55 thf(c_0_18, plain, ![X233:a, X234:a]:((~f__0 @ X233 @ X234|~f__12 @ X233|f__12 @ X234|~p110)&(~f__1 @ X233 @ X234|~f__12 @ X233|f__12 @ X234|~p110)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax110])])])])])).
% 216.49/216.55 thf(c_0_19, plain, (f__1 @ esk27_0 @ esk28_0|f__12 @ f__6|~f__12 @ esk26_0|~p158), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_20, plain, p158, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 216.49/216.55 thf(c_0_21, plain, ~f__12 @ f__6, inference(sr,[status(thm)],[c_0_15, c_0_16])).
% 216.49/216.55 thf(c_0_22, plain, ![X1:a]:(f__12 @ X1|~f__1 @ f__5 @ X1|~p111), inference(split_conjunct,[status(thm)],[c_0_17])).
% 216.49/216.55 thf(c_0_23, plain, p111, inference(split_conjunct,[status(thm)],[ax142])).
% 216.49/216.55 thf(c_0_24, plain, (f__1 @ esk27_0 @ esk28_0|f__1 @ f__5 @ esk26_0|f__12 @ f__6|~p158), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_25, plain, ![X2:a, X1:a]:(f__12 @ X2|~f__1 @ X1 @ X2|~f__12 @ X1|~p110), inference(split_conjunct,[status(thm)],[c_0_18])).
% 216.49/216.55 thf(c_0_26, plain, p110, inference(split_conjunct,[status(thm)],[ax143])).
% 216.49/216.55 thf(c_0_27, plain, (f__1 @ esk27_0 @ esk28_0|~f__12 @ esk26_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_28, plain, ![X1:a]:(f__12 @ X1|~f__1 @ f__5 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.49/216.55 thf(c_0_29, plain, (f__1 @ esk27_0 @ esk28_0|f__1 @ f__5 @ esk26_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_30, plain, (f__12 @ f__6|~f__12 @ esk28_0|~f__12 @ esk26_0|~p158), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_31, plain, ![X1:a, X2:a]:(f__12 @ X1|~f__1 @ X2 @ X1|~f__12 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 216.49/216.55 thf(c_0_32, plain, f__1 @ esk27_0 @ esk28_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
% 216.49/216.55 thf(c_0_33, plain, (f__12 @ esk27_0|f__12 @ f__6|~f__12 @ esk26_0|~p158), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_34, plain, (~f__12 @ esk26_0|~f__12 @ esk28_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_35, plain, (f__12 @ esk28_0|~f__12 @ esk27_0), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 216.49/216.55 thf(c_0_36, plain, (f__12 @ esk27_0|~f__12 @ esk26_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_37, plain, (f__12 @ esk27_0|f__1 @ f__5 @ esk26_0|f__12 @ f__6|~p158), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_38, plain, ~f__12 @ esk26_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
% 216.49/216.55 thf(c_0_39, plain, (f__1 @ f__5 @ esk26_0|f__12 @ esk27_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_40, plain, ~f__1 @ f__5 @ esk26_0, inference(spm,[status(thm)],[c_0_38, c_0_28])).
% 216.49/216.55 thf(c_0_41, plain, (f__1 @ f__5 @ esk26_0|f__12 @ f__6|~f__12 @ esk28_0|~p158), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.49/216.55 thf(c_0_42, plain, f__12 @ esk27_0, inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 216.49/216.55 thf(c_0_43, plain, (f__1 @ f__5 @ esk26_0|~f__12 @ esk28_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_20])]), c_0_21])).
% 216.49/216.55 thf(c_0_44, plain, f__12 @ esk28_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_42])])).
% 216.49/216.55 thf(c_0_45, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])]), c_0_40]), ['proof']).
% 216.49/216.55 thf(9,plain,$false,inference(eprover,[status(thm),assumptions([h30,h31,h28,h29,h27,h21,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.49/216.55 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h28,h29,h27,h21,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h28,9,h30,h31])).
% 216.49/216.55 thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h27,h21,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h27,10,h28,h29])).
% 216.49/216.55 thf(12,plain,$false,inference(tab_negall,[status(thm),assumptions([h21,h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h27]),tab_negall(eigenvar,eigen__12)],[h19,11,h27])).
% 216.49/216.55 thf(13,plain,$false,inference(tab_imp,[status(thm),assumptions([h18,h19,h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,8,12,h20,h21])).
% 216.49/216.55 thf(14,plain,$false,inference(tab_negimp,[status(thm),assumptions([h17,h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h17,13,h18,h19])).
% 216.49/216.55 thf(15,plain,$false,inference(tab_negall,[status(thm),assumptions([h16,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__6)],[h16,14,h17])).
% 216.49/216.55 thf(16,plain,$false,inference(tab_negall,[status(thm),assumptions([h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h16]),tab_negall(eigenvar,eigen__5)],[h15,15,h16])).
% 216.49/216.55 thf(17,plain,$false,inference(tab_imp,[status(thm),assumptions([h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h12,4,16,h14,h15])).
% 216.49/216.55 thf(h32,assumption,(~((![X1:a]:(![X2:a]:((~(((![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ eigen__16) @ X4))) => ((eigen__1 @ eigen__16) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X1))) => (~((![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2)))))))) => (![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ eigen__16) @ X4))) => ((eigen__1 @ eigen__16) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2)))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h33,assumption,(~((![X1:a]:((~(((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__16) @ X3))) => ((eigen__1 @ eigen__16) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ eigen__17))) => (~((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__17) @ X3))) => ((eigen__1 @ eigen__17) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1)))))))) => (![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__16) @ X3))) => ((eigen__1 @ eigen__16) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h34,assumption,(~(((~(((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__16) @ X2))) => ((eigen__1 @ eigen__16) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__17))) => (~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__17) @ X2))) => ((eigen__1 @ eigen__17) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__18)))))))) => (![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__16) @ X2))) => ((eigen__1 @ eigen__16) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__18)))))),introduced(assumption,[])).
% 216.49/216.55 thf(h35,assumption,(~(((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__16) @ X2))) => ((eigen__1 @ eigen__16) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__17))) => (~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__17) @ X2))) => ((eigen__1 @ eigen__17) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__18)))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h36,assumption,(~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__16) @ X2))) => ((eigen__1 @ eigen__16) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__18))))),introduced(assumption,[])).
% 216.49/216.55 thf(h37,assumption,(![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__16) @ X2))) => ((eigen__1 @ eigen__16) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__17))),introduced(assumption,[])).
% 216.49/216.55 thf(h38,assumption,(![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__17) @ X2))) => ((eigen__1 @ eigen__17) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__18))),introduced(assumption,[])).
% 216.49/216.55 thf(h39,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__16) @ X1))) => ((eigen__1 @ eigen__16) @ X1)) => (eigen__19 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__19 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__19 @ X2))))))))) => (eigen__19 @ eigen__18)))),introduced(assumption,[])).
% 216.49/216.55 thf(h40,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__16) @ X1))) => ((eigen__1 @ eigen__16) @ X1)) => (eigen__19 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__19 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__19 @ X2))))))))),introduced(assumption,[])).
% 216.49/216.55 thf(h41,assumption,(~((eigen__19 @ eigen__18))),introduced(assumption,[])).
% 216.49/216.55 thf(h42,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__16) @ X1))) => ((eigen__1 @ eigen__16) @ X1)) => (eigen__19 @ X1))),introduced(assumption,[])).
% 216.49/216.55 thf(h43,assumption,(![X1:a]:(![X2:a]:((~(((eigen__19 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__19 @ X2)))),introduced(assumption,[])).
% 216.49/216.55 thf(ax63, axiom, (~(p213)|p241), file('<stdin>', ax63)).
% 216.49/216.55 thf(ax65, axiom, (~(p240)|~(p239)|~(p211)), file('<stdin>', ax65)).
% 216.49/216.55 thf(ax64, axiom, (~(p241)|p240|p210), file('<stdin>', ax64)).
% 216.49/216.55 thf(ax92, axiom, p213, file('<stdin>', ax92)).
% 216.49/216.55 thf(ax95, axiom, ~(p210), file('<stdin>', ax95)).
% 216.49/216.55 thf(ax19, axiom, (~(p214)|p288), file('<stdin>', ax19)).
% 216.49/216.55 thf(ax21, axiom, (~(p287)|~(p212)|~(p211)), file('<stdin>', ax21)).
% 216.49/216.55 thf(ax94, axiom, p211, file('<stdin>', ax94)).
% 216.49/216.55 thf(ax20, axiom, (~(p288)|p287|p286), file('<stdin>', ax20)).
% 216.49/216.55 thf(ax91, axiom, p214, file('<stdin>', ax91)).
% 216.49/216.55 thf(ax93, axiom, p212, file('<stdin>', ax93)).
% 216.49/216.55 thf(pax211, axiom, (p211=>![X1:a, X2:a]:(~((f__19 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__19 @ X2)), file('<stdin>', pax211)).
% 216.49/216.55 thf(nax239, axiom, (p239<=![X1:a]:((~(f__0 @ f__17 @ X1)=>f__1 @ f__17 @ X1)=>f__19 @ X1)), file('<stdin>', nax239)).
% 216.49/216.55 thf(pax286, axiom, (p286=>f__19 @ f__17), file('<stdin>', pax286)).
% 216.49/216.55 thf(c_0_14, plain, (~p213|p241), inference(fof_simplification,[status(thm)],[ax63])).
% 216.49/216.55 thf(c_0_15, plain, (~p240|~p239|~p211), inference(fof_simplification,[status(thm)],[ax65])).
% 216.49/216.55 thf(c_0_16, plain, (~p241|p240|p210), inference(fof_simplification,[status(thm)],[ax64])).
% 216.49/216.55 thf(c_0_17, plain, (p241|~p213), inference(split_conjunct,[status(thm)],[c_0_14])).
% 216.49/216.55 thf(c_0_18, plain, p213, inference(split_conjunct,[status(thm)],[ax92])).
% 216.49/216.55 thf(c_0_19, plain, ~p210, inference(fof_simplification,[status(thm)],[ax95])).
% 216.49/216.55 thf(c_0_20, plain, (~p214|p288), inference(fof_simplification,[status(thm)],[ax19])).
% 216.49/216.55 thf(c_0_21, plain, (~p287|~p212|~p211), inference(fof_simplification,[status(thm)],[ax21])).
% 216.49/216.55 thf(c_0_22, plain, (~p240|~p239|~p211), inference(split_conjunct,[status(thm)],[c_0_15])).
% 216.49/216.55 thf(c_0_23, plain, p211, inference(split_conjunct,[status(thm)],[ax94])).
% 216.49/216.55 thf(c_0_24, plain, (p240|p210|~p241), inference(split_conjunct,[status(thm)],[c_0_16])).
% 216.49/216.55 thf(c_0_25, plain, p241, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 216.49/216.55 thf(c_0_26, plain, ~p210, inference(split_conjunct,[status(thm)],[c_0_19])).
% 216.49/216.55 thf(c_0_27, plain, (~p288|p287|p286), inference(fof_simplification,[status(thm)],[ax20])).
% 216.49/216.55 thf(c_0_28, plain, (p288|~p214), inference(split_conjunct,[status(thm)],[c_0_20])).
% 216.49/216.55 thf(c_0_29, plain, p214, inference(split_conjunct,[status(thm)],[ax91])).
% 216.49/216.55 thf(c_0_30, plain, (~p287|~p212|~p211), inference(split_conjunct,[status(thm)],[c_0_21])).
% 216.49/216.55 thf(c_0_31, plain, p212, inference(split_conjunct,[status(thm)],[ax93])).
% 216.49/216.55 thf(c_0_32, plain, ![X399:a, X400:a]:((~f__0 @ X399 @ X400|~f__19 @ X399|f__19 @ X400|~p211)&(~f__1 @ X399 @ X400|~f__19 @ X399|f__19 @ X400|~p211)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax211])])])])])).
% 216.49/216.55 thf(c_0_33, plain, ((f__0 @ f__17 @ esk184_0|f__1 @ f__17 @ esk184_0|p239)&(~f__19 @ esk184_0|p239)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax239])])])])])).
% 216.49/216.55 thf(c_0_34, plain, (~p239|~p240), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.49/216.55 thf(c_0_35, plain, p240, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])]), c_0_26])).
% 216.49/216.55 thf(c_0_36, plain, (~p286|f__19 @ f__17), inference(fof_nnf,[status(thm)],[pax286])).
% 216.49/216.55 thf(c_0_37, plain, (p287|p286|~p288), inference(split_conjunct,[status(thm)],[c_0_27])).
% 216.49/216.55 thf(c_0_38, plain, p288, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 216.49/216.55 thf(c_0_39, plain, ~p287, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_23]), c_0_31])])).
% 216.49/216.55 thf(c_0_40, plain, ![X2:a, X1:a]:(f__19 @ X2|~f__0 @ X1 @ X2|~f__19 @ X1|~p211), inference(split_conjunct,[status(thm)],[c_0_32])).
% 216.49/216.55 thf(c_0_41, plain, (f__0 @ f__17 @ esk184_0|f__1 @ f__17 @ esk184_0|p239), inference(split_conjunct,[status(thm)],[c_0_33])).
% 216.49/216.55 thf(c_0_42, plain, ~p239, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 216.49/216.55 thf(c_0_43, plain, (f__19 @ f__17|~p286), inference(split_conjunct,[status(thm)],[c_0_36])).
% 216.49/216.55 thf(c_0_44, plain, p286, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])]), c_0_39])).
% 216.49/216.55 thf(c_0_45, plain, (p239|~f__19 @ esk184_0), inference(split_conjunct,[status(thm)],[c_0_33])).
% 216.49/216.55 thf(c_0_46, plain, ![X2:a, X1:a]:(f__19 @ X2|~f__1 @ X1 @ X2|~f__19 @ X1|~p211), inference(split_conjunct,[status(thm)],[c_0_32])).
% 216.49/216.55 thf(c_0_47, plain, ![X1:a, X2:a]:(f__19 @ X1|~f__0 @ X2 @ X1|~f__19 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_23])])).
% 216.49/216.55 thf(c_0_48, plain, (f__0 @ f__17 @ esk184_0|f__1 @ f__17 @ esk184_0), inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 216.49/216.55 thf(c_0_49, plain, f__19 @ f__17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 216.49/216.55 thf(c_0_50, plain, ~f__19 @ esk184_0, inference(sr,[status(thm)],[c_0_45, c_0_42])).
% 216.49/216.55 thf(c_0_51, plain, ![X1:a, X2:a]:(f__19 @ X1|~f__1 @ X2 @ X1|~f__19 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_23])])).
% 216.49/216.55 thf(c_0_52, plain, f__1 @ f__17 @ esk184_0, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])]), c_0_50])).
% 216.49/216.55 thf(c_0_53, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_49])]), c_0_50]), ['proof']).
% 216.49/216.55 thf(18,plain,$false,inference(eprover,[status(thm),assumptions([h42,h43,h40,h41,h39,h37,h38,h35,h36,h34,h33,h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.49/216.55 thf(19,plain,$false,inference(tab_negimp,[status(thm),assumptions([h40,h41,h39,h37,h38,h35,h36,h34,h33,h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h42,h43])],[h40,18,h42,h43])).
% 216.49/216.55 thf(20,plain,$false,inference(tab_negimp,[status(thm),assumptions([h39,h37,h38,h35,h36,h34,h33,h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h40,h41])],[h39,19,h40,h41])).
% 216.49/216.55 thf(21,plain,$false,inference(tab_negall,[status(thm),assumptions([h37,h38,h35,h36,h34,h33,h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h39]),tab_negall(eigenvar,eigen__19)],[h36,20,h39])).
% 216.49/216.55 thf(22,plain,$false,inference(tab_negimp,[status(thm),assumptions([h35,h36,h34,h33,h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h37,h38])],[h35,21,h37,h38])).
% 216.49/216.55 thf(23,plain,$false,inference(tab_negimp,[status(thm),assumptions([h34,h33,h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h35,h36])],[h34,22,h35,h36])).
% 216.49/216.55 thf(24,plain,$false,inference(tab_negall,[status(thm),assumptions([h33,h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h34]),tab_negall(eigenvar,eigen__18)],[h33,23,h34])).
% 216.49/216.55 thf(25,plain,$false,inference(tab_negall,[status(thm),assumptions([h32,h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h33]),tab_negall(eigenvar,eigen__17)],[h32,24,h33])).
% 216.49/216.55 thf(26,plain,$false,inference(tab_negall,[status(thm),assumptions([h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h32]),tab_negall(eigenvar,eigen__16)],[h13,25,h32])).
% 216.49/216.55 thf(27,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h6,17,26,h12,h13])).
% 216.49/216.55 thf(28,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h8,27,h10,h11])).
% 216.49/216.55 thf(29,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,28,h8,h9])).
% 216.49/216.55 thf(30,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__4)],[h5,29,h7])).
% 216.49/216.55 thf(31,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,30,h5,h6])).
% 216.49/216.55 thf(32,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__3)],[h3,31,h4])).
% 216.49/216.55 thf(33,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,32,h3])).
% 216.49/216.55 thf(34,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,33,h2])).
% 216.49/216.55 thf(35,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,34,h1])).
% 216.49/216.55 thf(0,theorem,(![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~(((~(((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~((![X5:a]:(![X6:a]:(((~((![X7:a>$o]:((~(((![X8:a]:(((X1 @ X5) @ X8) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((X1 @ X8) @ X9)))))) => (X7 @ X9))))))))) => (X7 @ X6))))) => (![X7:a>$o]:((~(((![X8:a]:(((X2 @ X5) @ X8) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((X2 @ X8) @ X9)))))) => (X7 @ X9))))))))) => (X7 @ X6)))) => (![X7:a>$o]:((~(((![X8:a]:(((~(((X1 @ X5) @ X8))) => ((X2 @ X5) @ X8)) => (X7 @ X8))) => (~((![X8:a]:(![X9:a]:((~(((X7 @ X8) => (~(((~(((X1 @ X8) @ X9))) => ((X2 @ X8) @ X9))))))) => (X7 @ X9))))))))) => (X7 @ X6))))))))))) => (~((![X5:a]:(![X6:a]:(![X7:a]:((~(((![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X6))) => (~((![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X6) @ X9))) => ((X2 @ X6) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7)))))))) => (![X8:a>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[35,h0])).
% 216.49/216.55 % SZS output end Proof
%------------------------------------------------------------------------------