TSTP Solution File: SEV154^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV154^5 : 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 : n008.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 18:05:07 EDT 2022
% Result : Theorem 216.52s 216.57s
% Output : Proof 216.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV154^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.10/0.29 % Computer : n008.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 28 15:42:08 EDT 2022
% 0.10/0.29 % CPUTime :
% 216.52/216.57 % SZS status Theorem
% 216.52/216.57 % Mode: mode447
% 216.52/216.57 % Inferences: 102
% 216.52/216.57 % SZS output start Proof
% 216.52/216.57 thf(ty_a, type, a : $tType).
% 216.52/216.57 thf(ty_eigen__14, type, eigen__14 : a).
% 216.52/216.57 thf(ty_eigen__6, type, eigen__6 : a).
% 216.52/216.57 thf(ty_eigen__12, type, eigen__12 : a).
% 216.52/216.57 thf(ty_eigen__2, type, eigen__2 : a).
% 216.52/216.57 thf(ty_eigen__7, type, eigen__7 : (a>$o)).
% 216.52/216.57 thf(ty_eigen__15, type, eigen__15 : (a>$o)).
% 216.52/216.57 thf(ty_eigen__1, type, eigen__1 : (a>a>$o)).
% 216.52/216.57 thf(ty_eigen__0, type, eigen__0 : (a>a>$o)).
% 216.52/216.57 thf(ty_eigen__4, type, eigen__4 : (a>$o)).
% 216.52/216.57 thf(ty_eigen__5, type, eigen__5 : a).
% 216.52/216.57 thf(ty_eigen__11, type, eigen__11 : (a>$o)).
% 216.52/216.57 thf(ty_eigen__3, type, eigen__3 : a).
% 216.52/216.57 thf(ty_eigen__13, type, eigen__13 : a).
% 216.52/216.57 thf(sP1,plain,sP1 <=> (![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__4 @ X1))),introduced(definition,[new_symbols(definition,[sP1])])).
% 216.52/216.57 thf(sP2,plain,sP2 <=> (eigen__4 @ eigen__3),introduced(definition,[new_symbols(definition,[sP2])])).
% 216.52/216.57 thf(sP3,plain,sP3 <=> ((~((sP1 => (~((![X1:a]:(![X2:a]:((~(((eigen__4 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__4 @ X2))))))))) => sP2),introduced(definition,[new_symbols(definition,[sP3])])).
% 216.52/216.57 thf(sP4,plain,sP4 <=> (![X1:a]:(![X2:a]:((~(((eigen__4 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__4 @ X2)))),introduced(definition,[new_symbols(definition,[sP4])])).
% 216.52/216.57 thf(sP5,plain,sP5 <=> (![X1:a>$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])])).
% 216.52/216.57 thf(sP6,plain,sP6 <=> (sP1 => (~(sP4))),introduced(definition,[new_symbols(definition,[sP6])])).
% 216.52/216.57 thf(cTHM251G_pme,conjecture,(![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~(((~(((![X5:a]:(![X6:a]:(((~((![X7:a>$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>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7)))))))))))) => (![X5:a>$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)))))))))))).
% 216.52/216.57 thf(h0,negated_conjecture,(~((![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:((~((![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))) => (~(((~(((![X5:a]:(![X6:a]:(((~((![X7:a>$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>$o]:((~(((![X9:a]:(((~(((X1 @ X5) @ X9))) => ((X2 @ X5) @ X9)) => (X8 @ X9))) => (~((![X9:a]:(![X10:a]:((~(((X8 @ X9) => (~(((~(((X1 @ X9) @ X10))) => ((X2 @ X9) @ X10))))))) => (X8 @ X10))))))))) => (X8 @ X7)))))))))))) => (![X5:a>$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))))))))))))),inference(assume_negation,[status(cth)],[cTHM251G_pme])).
% 216.52/216.57 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]:(![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)))))))))))) => (![X4:a>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((X1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((X1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h2,assumption,(~((![X1:a]:(![X2:a]:((~((![X3:a>$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]:(![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)))))))))))) => (![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2))))))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h3,assumption,(~((![X1:a]:((~((![X2:a>$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]:(![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)))))))))))) => (![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__2) @ X3))) => ((eigen__1 @ eigen__2) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1)))))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h4,assumption,(~(((~(sP5)) => (~(((~(((![X1:a]:(![X2:a]:(((~((![X3:a>$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>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))))))) => sP5)))))),introduced(assumption,[])).
% 216.52/216.57 thf(h5,assumption,(~(sP5)),introduced(assumption,[])).
% 216.52/216.57 thf(h6,assumption,((~(((![X1:a]:(![X2:a]:(((~((![X3:a>$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)))))) => (~((![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>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))))))) => sP5),introduced(assumption,[])).
% 216.52/216.57 thf(h7,assumption,(~(sP3)),introduced(assumption,[])).
% 216.52/216.57 thf(h8,assumption,(~(sP6)),introduced(assumption,[])).
% 216.52/216.57 thf(h9,assumption,(~(sP2)),introduced(assumption,[])).
% 216.52/216.57 thf(h10,assumption,sP1,introduced(assumption,[])).
% 216.52/216.57 thf(h11,assumption,sP4,introduced(assumption,[])).
% 216.52/216.57 thf(h12,assumption,((![X1:a]:(![X2:a]:(((~((![X3:a>$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)))))) => (~((![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>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h13,assumption,sP5,introduced(assumption,[])).
% 216.52/216.57 thf(h14,assumption,(~((![X1:a]:(![X2:a]:(((~((![X3:a>$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,[])).
% 216.52/216.57 thf(h15,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>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X1) @ X5))) => ((eigen__1 @ X1) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((eigen__1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3))))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h16,assumption,(~((![X1:a]:(((~((![X2:a>$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,[])).
% 216.52/216.57 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>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__5) @ X2))) => ((eigen__1 @ eigen__5) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__6)))))),introduced(assumption,[])).
% 216.52/216.57 thf(h18,assumption,((~((![X1:a>$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>$o]:((~(((![X2:a]:(((eigen__1 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__1 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6)))),introduced(assumption,[])).
% 216.52/216.57 thf(h19,assumption,(~((![X1:a>$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,[])).
% 216.52/216.57 thf(h20,assumption,(![X1:a>$o]:((~(((![X2:a]:(((eigen__0 @ eigen__5) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__6))),introduced(assumption,[])).
% 216.52/216.57 thf(h21,assumption,(![X1:a>$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,[])).
% 216.52/216.57 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,[])).
% 216.52/216.57 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,[])).
% 216.52/216.57 thf(h24,assumption,(~((eigen__7 @ eigen__6))),introduced(assumption,[])).
% 216.52/216.57 thf(h25,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__7 @ X1))),introduced(assumption,[])).
% 216.52/216.57 thf(h26,assumption,(![X1:a]:(![X2:a]:((~(((eigen__7 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__7 @ X2)))),introduced(assumption,[])).
% 216.52/216.57 thf(ax87, axiom, (~(p4)|p11), file('<stdin>', ax87)).
% 216.52/216.57 thf(ax63, axiom, (~(p11)|p35|p1), file('<stdin>', ax63)).
% 216.52/216.57 thf(ax94, axiom, p4, file('<stdin>', ax94)).
% 216.52/216.57 thf(ax97, axiom, ~(p1), file('<stdin>', ax97)).
% 216.52/216.57 thf(ax53, axiom, (~(p3)|p46), file('<stdin>', ax53)).
% 216.52/216.57 thf(ax62, axiom, (~(p35)|~(p36)|~(p37)), file('<stdin>', ax62)).
% 216.52/216.57 thf(ax43, axiom, (~(p46)|~(p56)|p41), file('<stdin>', ax43)).
% 216.52/216.57 thf(ax95, axiom, p3, file('<stdin>', ax95)).
% 216.52/216.57 thf(ax12, axiom, (~(p2)|p88), file('<stdin>', ax12)).
% 216.52/216.57 thf(ax61, axiom, (p36|~(p38)), file('<stdin>', ax61)).
% 216.52/216.57 thf(ax60, axiom, (p37|~(p39)), file('<stdin>', ax60)).
% 216.52/216.57 thf(ax57, axiom, (p39|~(p42)), file('<stdin>', ax57)).
% 216.52/216.57 thf(ax35, axiom, (p56|~(p40)), file('<stdin>', ax35)).
% 216.52/216.57 thf(ax13, axiom, (~(p88)|p87), file('<stdin>', ax13)).
% 216.52/216.57 thf(ax96, axiom, p2, file('<stdin>', ax96)).
% 216.52/216.57 thf(ax58, axiom, (p38|~(p41)), file('<stdin>', ax58)).
% 216.52/216.57 thf(ax14, axiom, (~(p87)|p86|p59), file('<stdin>', ax14)).
% 216.52/216.57 thf(ax59, axiom, (p38|p40), file('<stdin>', ax59)).
% 216.52/216.57 thf(ax40, axiom, (p42|~(p59)), file('<stdin>', ax40)).
% 216.52/216.57 thf(nax42, axiom, (p42<=(~((f__7 @ f__9=>~(f__0 @ f__9 @ f__10)))=>f__7 @ f__10)), file('<stdin>', nax42)).
% 216.52/216.57 thf(ax15, axiom, (~(p86)|~(p68)|~(p85)), file('<stdin>', ax15)).
% 216.52/216.57 thf(nax68, axiom, (p68<=f__7 @ f__9), file('<stdin>', nax68)).
% 216.52/216.57 thf(nax85, axiom, (p85<=(~(f__0 @ f__9 @ f__10)=>f__1 @ f__9 @ f__10)), file('<stdin>', nax85)).
% 216.52/216.57 thf(c_0_23, plain, (~p4|p11), inference(fof_simplification,[status(thm)],[ax87])).
% 216.52/216.57 thf(c_0_24, plain, (~p11|p35|p1), inference(fof_simplification,[status(thm)],[ax63])).
% 216.52/216.57 thf(c_0_25, plain, (p11|~p4), inference(split_conjunct,[status(thm)],[c_0_23])).
% 216.52/216.57 thf(c_0_26, plain, p4, inference(split_conjunct,[status(thm)],[ax94])).
% 216.52/216.57 thf(c_0_27, plain, ~p1, inference(fof_simplification,[status(thm)],[ax97])).
% 216.52/216.57 thf(c_0_28, plain, (~p3|p46), inference(fof_simplification,[status(thm)],[ax53])).
% 216.52/216.57 thf(c_0_29, plain, (~p35|~p36|~p37), inference(fof_simplification,[status(thm)],[ax62])).
% 216.52/216.57 thf(c_0_30, plain, (p35|p1|~p11), inference(split_conjunct,[status(thm)],[c_0_24])).
% 216.52/216.57 thf(c_0_31, plain, p11, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 216.52/216.57 thf(c_0_32, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_27])).
% 216.52/216.57 thf(c_0_33, plain, (~p46|~p56|p41), inference(fof_simplification,[status(thm)],[ax43])).
% 216.52/216.57 thf(c_0_34, plain, (p46|~p3), inference(split_conjunct,[status(thm)],[c_0_28])).
% 216.52/216.57 thf(c_0_35, plain, p3, inference(split_conjunct,[status(thm)],[ax95])).
% 216.52/216.57 thf(c_0_36, plain, (~p2|p88), inference(fof_simplification,[status(thm)],[ax12])).
% 216.52/216.57 thf(c_0_37, plain, (~p35|~p36|~p37), inference(split_conjunct,[status(thm)],[c_0_29])).
% 216.52/216.57 thf(c_0_38, plain, p35, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])]), c_0_32])).
% 216.52/216.57 thf(c_0_39, plain, (p36|~p38), inference(fof_simplification,[status(thm)],[ax61])).
% 216.52/216.57 thf(c_0_40, plain, (p37|~p39), inference(fof_simplification,[status(thm)],[ax60])).
% 216.52/216.57 thf(c_0_41, plain, (p39|~p42), inference(fof_simplification,[status(thm)],[ax57])).
% 216.52/216.57 thf(c_0_42, plain, (p41|~p46|~p56), inference(split_conjunct,[status(thm)],[c_0_33])).
% 216.52/216.57 thf(c_0_43, plain, p46, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 216.52/216.57 thf(c_0_44, plain, (p56|~p40), inference(fof_simplification,[status(thm)],[ax35])).
% 216.52/216.57 thf(c_0_45, plain, (~p88|p87), inference(fof_simplification,[status(thm)],[ax13])).
% 216.52/216.57 thf(c_0_46, plain, (p88|~p2), inference(split_conjunct,[status(thm)],[c_0_36])).
% 216.52/216.57 thf(c_0_47, plain, p2, inference(split_conjunct,[status(thm)],[ax96])).
% 216.52/216.57 thf(c_0_48, plain, (~p36|~p37), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 216.52/216.57 thf(c_0_49, plain, (p36|~p38), inference(split_conjunct,[status(thm)],[c_0_39])).
% 216.52/216.57 thf(c_0_50, plain, (p37|~p39), inference(split_conjunct,[status(thm)],[c_0_40])).
% 216.52/216.57 thf(c_0_51, plain, (p39|~p42), inference(split_conjunct,[status(thm)],[c_0_41])).
% 216.52/216.57 thf(c_0_52, plain, (p41|~p56), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 216.52/216.57 thf(c_0_53, plain, (p56|~p40), inference(split_conjunct,[status(thm)],[c_0_44])).
% 216.52/216.57 thf(c_0_54, plain, (p38|~p41), inference(fof_simplification,[status(thm)],[ax58])).
% 216.52/216.57 thf(c_0_55, plain, (~p87|p86|p59), inference(fof_simplification,[status(thm)],[ax14])).
% 216.52/216.57 thf(c_0_56, plain, (p87|~p88), inference(split_conjunct,[status(thm)],[c_0_45])).
% 216.52/216.57 thf(c_0_57, plain, p88, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_47])])).
% 216.52/216.57 thf(c_0_58, plain, (~p37|~p38), inference(spm,[status(thm)],[c_0_48, c_0_49])).
% 216.52/216.57 thf(c_0_59, plain, (p37|~p42), inference(spm,[status(thm)],[c_0_50, c_0_51])).
% 216.52/216.57 thf(c_0_60, plain, (p41|~p40), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 216.52/216.57 thf(c_0_61, plain, (p38|p40), inference(split_conjunct,[status(thm)],[ax59])).
% 216.52/216.57 thf(c_0_62, plain, (p38|~p41), inference(split_conjunct,[status(thm)],[c_0_54])).
% 216.52/216.57 thf(c_0_63, plain, (p42|~p59), inference(fof_simplification,[status(thm)],[ax40])).
% 216.52/216.57 thf(c_0_64, plain, (p86|p59|~p87), inference(split_conjunct,[status(thm)],[c_0_55])).
% 216.52/216.57 thf(c_0_65, plain, p87, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])).
% 216.52/216.57 thf(c_0_66, plain, (~p38|~p42), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 216.52/216.57 thf(c_0_67, plain, p38, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_62])).
% 216.52/216.57 thf(c_0_68, plain, (((f__7 @ f__9|p42)&(f__0 @ f__9 @ f__10|p42))&(~f__7 @ f__10|p42)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax42])])])).
% 216.52/216.57 thf(c_0_69, plain, (~p86|~p68|~p85), inference(fof_simplification,[status(thm)],[ax15])).
% 216.52/216.57 thf(c_0_70, plain, (p42|~p59), inference(split_conjunct,[status(thm)],[c_0_63])).
% 216.52/216.57 thf(c_0_71, plain, (p86|p59), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])).
% 216.52/216.57 thf(c_0_72, plain, ~p42, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])).
% 216.52/216.57 thf(c_0_73, plain, (~f__7 @ f__9|p68), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax68])])).
% 216.52/216.57 thf(c_0_74, plain, (f__7 @ f__9|p42), inference(split_conjunct,[status(thm)],[c_0_68])).
% 216.52/216.57 thf(c_0_75, plain, (~p86|~p68|~p85), inference(split_conjunct,[status(thm)],[c_0_69])).
% 216.52/216.57 thf(c_0_76, plain, p86, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72])).
% 216.52/216.57 thf(c_0_77, plain, (p68|~f__7 @ f__9), inference(split_conjunct,[status(thm)],[c_0_73])).
% 216.52/216.57 thf(c_0_78, plain, f__7 @ f__9, inference(sr,[status(thm)],[c_0_74, c_0_72])).
% 216.52/216.57 thf(c_0_79, plain, ((~f__0 @ f__9 @ f__10|p85)&(~f__1 @ f__9 @ f__10|p85)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax85])])])).
% 216.52/216.57 thf(c_0_80, plain, (~p68|~p85), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])).
% 216.52/216.57 thf(c_0_81, plain, p68, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
% 216.52/216.57 thf(c_0_82, plain, (p85|~f__0 @ f__9 @ f__10), inference(split_conjunct,[status(thm)],[c_0_79])).
% 216.52/216.57 thf(c_0_83, plain, ~p85, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
% 216.52/216.57 thf(c_0_84, plain, (f__0 @ f__9 @ f__10|p42), inference(split_conjunct,[status(thm)],[c_0_68])).
% 216.52/216.57 thf(c_0_85, plain, ~f__0 @ f__9 @ f__10, inference(sr,[status(thm)],[c_0_82, c_0_83])).
% 216.52/216.57 thf(c_0_86, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_84, c_0_85]), c_0_72]), ['proof']).
% 216.52/216.57 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h25,h26,h23,h24,h22,h20,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.52/216.57 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h23,h24,h22,h20,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h25,h26])],[h23,1,h25,h26])).
% 216.52/216.57 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h22,h20,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h24])],[h22,2,h23,h24])).
% 216.52/216.57 thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h20,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h22]),tab_negall(eigenvar,eigen__7)],[h19,3,h22])).
% 216.52/216.57 thf(h27,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__11 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__11 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__11 @ X2))))))))) => (eigen__11 @ eigen__6)))),introduced(assumption,[])).
% 216.52/216.57 thf(h28,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__11 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__11 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__11 @ X2))))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h29,assumption,(~((eigen__11 @ eigen__6))),introduced(assumption,[])).
% 216.52/216.57 thf(h30,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__5) @ X1))) => ((eigen__1 @ eigen__5) @ X1)) => (eigen__11 @ X1))),introduced(assumption,[])).
% 216.52/216.57 thf(h31,assumption,(![X1:a]:(![X2:a]:((~(((eigen__11 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__11 @ X2)))),introduced(assumption,[])).
% 216.52/216.57 thf(ax82, axiom, (~(p105)|p140), file('<stdin>', ax82)).
% 216.52/216.57 thf(nax102, axiom, (p102<=f__11 @ f__6), file('<stdin>', nax102)).
% 216.52/216.57 thf(ax124, axiom, ~(p102), file('<stdin>', ax124)).
% 216.52/216.57 thf(pax140, axiom, (p140=>(~((![X1:a]:(f__1 @ f__5 @ X1=>f__11 @ X1)=>~(![X1:a, X2:a]:(~((f__11 @ X1=>~(f__1 @ X1 @ X2)))=>f__11 @ X2))))=>f__11 @ f__6)), file('<stdin>', pax140)).
% 216.52/216.57 thf(ax121, axiom, p105, file('<stdin>', ax121)).
% 216.52/216.57 thf(pax104, axiom, (p104=>![X1:a]:((~(f__0 @ f__5 @ X1)=>f__1 @ f__5 @ X1)=>f__11 @ X1)), file('<stdin>', pax104)).
% 216.52/216.57 thf(pax103, axiom, (p103=>![X1:a, X2:a]:(~((f__11 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__11 @ X2)), file('<stdin>', pax103)).
% 216.52/216.57 thf(ax122, axiom, p104, file('<stdin>', ax122)).
% 216.52/216.57 thf(ax123, axiom, p103, file('<stdin>', ax123)).
% 216.52/216.57 thf(c_0_9, plain, (~p105|p140), inference(fof_simplification,[status(thm)],[ax82])).
% 216.52/216.57 thf(c_0_10, plain, (~f__11 @ f__6|p102), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax102])])).
% 216.52/216.57 thf(c_0_11, plain, ~p102, inference(fof_simplification,[status(thm)],[ax124])).
% 216.52/216.57 thf(c_0_12, plain, ((((f__11 @ esk62_0|f__1 @ f__5 @ esk61_0|f__11 @ f__6|~p140)&(f__1 @ esk62_0 @ esk63_0|f__1 @ f__5 @ esk61_0|f__11 @ f__6|~p140))&(~f__11 @ esk63_0|f__1 @ f__5 @ esk61_0|f__11 @ f__6|~p140))&(((f__11 @ esk62_0|~f__11 @ esk61_0|f__11 @ f__6|~p140)&(f__1 @ esk62_0 @ esk63_0|~f__11 @ esk61_0|f__11 @ f__6|~p140))&(~f__11 @ esk63_0|~f__11 @ esk61_0|f__11 @ f__6|~p140))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax140])])])])])).
% 216.52/216.57 thf(c_0_13, plain, (p140|~p105), inference(split_conjunct,[status(thm)],[c_0_9])).
% 216.52/216.57 thf(c_0_14, plain, p105, inference(split_conjunct,[status(thm)],[ax121])).
% 216.52/216.57 thf(c_0_15, plain, (p102|~f__11 @ f__6), inference(split_conjunct,[status(thm)],[c_0_10])).
% 216.52/216.57 thf(c_0_16, plain, ~p102, inference(split_conjunct,[status(thm)],[c_0_11])).
% 216.52/216.57 thf(c_0_17, plain, ![X271:a]:((~f__0 @ f__5 @ X271|f__11 @ X271|~p104)&(~f__1 @ f__5 @ X271|f__11 @ X271|~p104)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax104])])])])])).
% 216.52/216.57 thf(c_0_18, plain, ![X273:a, X274:a]:((~f__0 @ X273 @ X274|~f__11 @ X273|f__11 @ X274|~p103)&(~f__1 @ X273 @ X274|~f__11 @ X273|f__11 @ X274|~p103)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax103])])])])])).
% 216.52/216.57 thf(c_0_19, plain, (f__1 @ esk62_0 @ esk63_0|f__11 @ f__6|~f__11 @ esk61_0|~p140), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.52/216.57 thf(c_0_20, plain, p140, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 216.52/216.57 thf(c_0_21, plain, ~f__11 @ f__6, inference(sr,[status(thm)],[c_0_15, c_0_16])).
% 216.52/216.57 thf(c_0_22, plain, ![X1:a]:(f__11 @ X1|~f__1 @ f__5 @ X1|~p104), inference(split_conjunct,[status(thm)],[c_0_17])).
% 216.52/216.57 thf(c_0_23, plain, p104, inference(split_conjunct,[status(thm)],[ax122])).
% 216.52/216.57 thf(c_0_24, plain, (f__1 @ esk62_0 @ esk63_0|f__1 @ f__5 @ esk61_0|f__11 @ f__6|~p140), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.52/216.57 thf(c_0_25, plain, ![X2:a, X1:a]:(f__11 @ X2|~f__1 @ X1 @ X2|~f__11 @ X1|~p103), inference(split_conjunct,[status(thm)],[c_0_18])).
% 216.52/216.57 thf(c_0_26, plain, p103, inference(split_conjunct,[status(thm)],[ax123])).
% 216.52/216.57 thf(c_0_27, plain, (f__1 @ esk62_0 @ esk63_0|~f__11 @ esk61_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])]), c_0_21])).
% 216.52/216.57 thf(c_0_28, plain, ![X1:a]:(f__11 @ X1|~f__1 @ f__5 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.52/216.57 thf(c_0_29, plain, (f__1 @ esk62_0 @ esk63_0|f__1 @ f__5 @ esk61_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_20])]), c_0_21])).
% 216.52/216.57 thf(c_0_30, plain, (f__11 @ f__6|~f__11 @ esk63_0|~f__11 @ esk61_0|~p140), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.52/216.57 thf(c_0_31, plain, ![X1:a, X2:a]:(f__11 @ X1|~f__1 @ X2 @ X1|~f__11 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 216.52/216.57 thf(c_0_32, plain, f__1 @ esk62_0 @ esk63_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
% 216.52/216.57 thf(c_0_33, plain, (f__11 @ esk62_0|f__11 @ f__6|~f__11 @ esk61_0|~p140), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.52/216.57 thf(c_0_34, plain, (~f__11 @ esk61_0|~f__11 @ esk63_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_20])]), c_0_21])).
% 216.52/216.57 thf(c_0_35, plain, (f__11 @ esk63_0|~f__11 @ esk62_0), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 216.52/216.57 thf(c_0_36, plain, (f__11 @ esk62_0|~f__11 @ esk61_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_20])]), c_0_21])).
% 216.52/216.57 thf(c_0_37, plain, (f__11 @ esk62_0|f__1 @ f__5 @ esk61_0|f__11 @ f__6|~p140), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.52/216.57 thf(c_0_38, plain, ~f__11 @ esk61_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
% 216.52/216.57 thf(c_0_39, plain, (f__1 @ f__5 @ esk61_0|f__11 @ esk62_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_20])]), c_0_21])).
% 216.52/216.57 thf(c_0_40, plain, ~f__1 @ f__5 @ esk61_0, inference(spm,[status(thm)],[c_0_38, c_0_28])).
% 216.52/216.57 thf(c_0_41, plain, (f__1 @ f__5 @ esk61_0|f__11 @ f__6|~f__11 @ esk63_0|~p140), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.52/216.57 thf(c_0_42, plain, f__11 @ esk62_0, inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 216.52/216.57 thf(c_0_43, plain, (f__1 @ f__5 @ esk61_0|~f__11 @ esk63_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_20])]), c_0_21])).
% 216.52/216.57 thf(c_0_44, plain, f__11 @ esk63_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_42])])).
% 216.52/216.57 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']).
% 216.52/216.57 thf(5,plain,$false,inference(eprover,[status(thm),assumptions([h30,h31,h28,h29,h27,h21,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.52/216.57 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h28,h29,h27,h21,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h28,5,h30,h31])).
% 216.52/216.57 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h27,h21,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h27,6,h28,h29])).
% 216.52/216.57 thf(8,plain,$false,inference(tab_negall,[status(thm),assumptions([h21,h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h27]),tab_negall(eigenvar,eigen__11)],[h19,7,h27])).
% 216.52/216.57 thf(9,plain,$false,inference(tab_imp,[status(thm),assumptions([h18,h19,h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h18,4,8,h20,h21])).
% 216.52/216.57 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h17,h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h17,9,h18,h19])).
% 216.52/216.57 thf(11,plain,$false,inference(tab_negall,[status(thm),assumptions([h16,h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__6)],[h16,10,h17])).
% 216.52/216.57 thf(12,plain,$false,inference(tab_negall,[status(thm),assumptions([h14,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h16]),tab_negall(eigenvar,eigen__5)],[h14,11,h16])).
% 216.52/216.57 thf(h32,assumption,(~((![X1:a]:(![X2:a]:((~(((![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ eigen__12) @ X4))) => ((eigen__1 @ eigen__12) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X1))) => (~((![X3:a>$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>$o]:((~(((![X4:a]:(((~(((eigen__0 @ eigen__12) @ X4))) => ((eigen__1 @ eigen__12) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2)))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h33,assumption,(~((![X1:a]:((~(((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__12) @ X3))) => ((eigen__1 @ eigen__12) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ eigen__13))) => (~((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__13) @ X3))) => ((eigen__1 @ eigen__13) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1)))))))) => (![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__12) @ X3))) => ((eigen__1 @ eigen__12) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h34,assumption,(~(((~(((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__12) @ X2))) => ((eigen__1 @ eigen__12) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__13))) => (~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__13) @ X2))) => ((eigen__1 @ eigen__13) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__14)))))))) => (![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__12) @ X2))) => ((eigen__1 @ eigen__12) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__14)))))),introduced(assumption,[])).
% 216.52/216.57 thf(h35,assumption,(~(((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__12) @ X2))) => ((eigen__1 @ eigen__12) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__13))) => (~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__13) @ X2))) => ((eigen__1 @ eigen__13) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__14)))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h36,assumption,(~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__12) @ X2))) => ((eigen__1 @ eigen__12) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__14))))),introduced(assumption,[])).
% 216.52/216.57 thf(h37,assumption,(![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__12) @ X2))) => ((eigen__1 @ eigen__12) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__13))),introduced(assumption,[])).
% 216.52/216.57 thf(h38,assumption,(![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__13) @ X2))) => ((eigen__1 @ eigen__13) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__14))),introduced(assumption,[])).
% 216.52/216.57 thf(h39,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__12) @ X1))) => ((eigen__1 @ eigen__12) @ X1)) => (eigen__15 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__15 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__15 @ X2))))))))) => (eigen__15 @ eigen__14)))),introduced(assumption,[])).
% 216.52/216.57 thf(h40,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__12) @ X1))) => ((eigen__1 @ eigen__12) @ X1)) => (eigen__15 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__15 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__15 @ X2))))))))),introduced(assumption,[])).
% 216.52/216.57 thf(h41,assumption,(~((eigen__15 @ eigen__14))),introduced(assumption,[])).
% 216.52/216.57 thf(h42,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__12) @ X1))) => ((eigen__1 @ eigen__12) @ X1)) => (eigen__15 @ X1))),introduced(assumption,[])).
% 216.52/216.57 thf(h43,assumption,(![X1:a]:(![X2:a]:((~(((eigen__15 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__15 @ X2)))),introduced(assumption,[])).
% 216.52/216.57 thf(ax72, axiom, (~(p206)|p225), file('<stdin>', ax72)).
% 216.52/216.57 thf(ax74, axiom, (~(p224)|~(p223)|~(p204)), file('<stdin>', ax74)).
% 216.52/216.57 thf(ax73, axiom, (~(p225)|p224|p203), file('<stdin>', ax73)).
% 216.52/216.57 thf(ax94, axiom, p206, file('<stdin>', ax94)).
% 216.52/216.57 thf(ax97, axiom, ~(p203), file('<stdin>', ax97)).
% 216.52/216.57 thf(ax18, axiom, (~(p207)|p282), file('<stdin>', ax18)).
% 216.52/216.57 thf(ax20, axiom, (~(p281)|~(p205)|~(p204)), file('<stdin>', ax20)).
% 216.52/216.57 thf(ax96, axiom, p204, file('<stdin>', ax96)).
% 216.52/216.57 thf(ax19, axiom, (~(p282)|p281|p280), file('<stdin>', ax19)).
% 216.52/216.57 thf(ax93, axiom, p207, file('<stdin>', ax93)).
% 216.52/216.57 thf(ax95, axiom, p205, file('<stdin>', ax95)).
% 216.52/216.57 thf(pax204, axiom, (p204=>![X1:a, X2:a]:(~((f__15 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__15 @ X2)), file('<stdin>', pax204)).
% 216.52/216.57 thf(nax223, axiom, (p223<=![X1:a]:((~(f__0 @ f__13 @ X1)=>f__1 @ f__13 @ X1)=>f__15 @ X1)), file('<stdin>', nax223)).
% 216.52/216.57 thf(pax280, axiom, (p280=>f__15 @ f__13), file('<stdin>', pax280)).
% 216.52/216.57 thf(c_0_14, plain, (~p206|p225), inference(fof_simplification,[status(thm)],[ax72])).
% 216.52/216.57 thf(c_0_15, plain, (~p224|~p223|~p204), inference(fof_simplification,[status(thm)],[ax74])).
% 216.52/216.57 thf(c_0_16, plain, (~p225|p224|p203), inference(fof_simplification,[status(thm)],[ax73])).
% 216.52/216.57 thf(c_0_17, plain, (p225|~p206), inference(split_conjunct,[status(thm)],[c_0_14])).
% 216.52/216.57 thf(c_0_18, plain, p206, inference(split_conjunct,[status(thm)],[ax94])).
% 216.52/216.57 thf(c_0_19, plain, ~p203, inference(fof_simplification,[status(thm)],[ax97])).
% 216.52/216.57 thf(c_0_20, plain, (~p207|p282), inference(fof_simplification,[status(thm)],[ax18])).
% 216.52/216.57 thf(c_0_21, plain, (~p281|~p205|~p204), inference(fof_simplification,[status(thm)],[ax20])).
% 216.52/216.57 thf(c_0_22, plain, (~p224|~p223|~p204), inference(split_conjunct,[status(thm)],[c_0_15])).
% 216.52/216.57 thf(c_0_23, plain, p204, inference(split_conjunct,[status(thm)],[ax96])).
% 216.52/216.57 thf(c_0_24, plain, (p224|p203|~p225), inference(split_conjunct,[status(thm)],[c_0_16])).
% 216.52/216.57 thf(c_0_25, plain, p225, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 216.52/216.57 thf(c_0_26, plain, ~p203, inference(split_conjunct,[status(thm)],[c_0_19])).
% 216.52/216.57 thf(c_0_27, plain, (~p282|p281|p280), inference(fof_simplification,[status(thm)],[ax19])).
% 216.52/216.57 thf(c_0_28, plain, (p282|~p207), inference(split_conjunct,[status(thm)],[c_0_20])).
% 216.52/216.57 thf(c_0_29, plain, p207, inference(split_conjunct,[status(thm)],[ax93])).
% 216.52/216.57 thf(c_0_30, plain, (~p281|~p205|~p204), inference(split_conjunct,[status(thm)],[c_0_21])).
% 216.52/216.57 thf(c_0_31, plain, p205, inference(split_conjunct,[status(thm)],[ax95])).
% 216.52/216.57 thf(c_0_32, plain, ![X441:a, X442:a]:((~f__0 @ X441 @ X442|~f__15 @ X441|f__15 @ X442|~p204)&(~f__1 @ X441 @ X442|~f__15 @ X441|f__15 @ X442|~p204)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax204])])])])])).
% 216.52/216.57 thf(c_0_33, plain, ((f__0 @ f__13 @ esk211_0|f__1 @ f__13 @ esk211_0|p223)&(~f__15 @ esk211_0|p223)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax223])])])])])).
% 216.52/216.57 thf(c_0_34, plain, (~p223|~p224), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.52/216.57 thf(c_0_35, plain, p224, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])]), c_0_26])).
% 216.52/216.57 thf(c_0_36, plain, (~p280|f__15 @ f__13), inference(fof_nnf,[status(thm)],[pax280])).
% 216.52/216.57 thf(c_0_37, plain, (p281|p280|~p282), inference(split_conjunct,[status(thm)],[c_0_27])).
% 216.52/216.57 thf(c_0_38, plain, p282, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 216.52/216.57 thf(c_0_39, plain, ~p281, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_23]), c_0_31])])).
% 216.52/216.57 thf(c_0_40, plain, ![X2:a, X1:a]:(f__15 @ X2|~f__0 @ X1 @ X2|~f__15 @ X1|~p204), inference(split_conjunct,[status(thm)],[c_0_32])).
% 216.52/216.57 thf(c_0_41, plain, (f__0 @ f__13 @ esk211_0|f__1 @ f__13 @ esk211_0|p223), inference(split_conjunct,[status(thm)],[c_0_33])).
% 216.52/216.57 thf(c_0_42, plain, ~p223, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 216.52/216.57 thf(c_0_43, plain, (f__15 @ f__13|~p280), inference(split_conjunct,[status(thm)],[c_0_36])).
% 216.52/216.57 thf(c_0_44, plain, p280, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])]), c_0_39])).
% 216.52/216.57 thf(c_0_45, plain, (p223|~f__15 @ esk211_0), inference(split_conjunct,[status(thm)],[c_0_33])).
% 216.52/216.57 thf(c_0_46, plain, ![X2:a, X1:a]:(f__15 @ X2|~f__1 @ X1 @ X2|~f__15 @ X1|~p204), inference(split_conjunct,[status(thm)],[c_0_32])).
% 216.52/216.57 thf(c_0_47, plain, ![X1:a, X2:a]:(f__15 @ X1|~f__0 @ X2 @ X1|~f__15 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_23])])).
% 216.52/216.57 thf(c_0_48, plain, (f__0 @ f__13 @ esk211_0|f__1 @ f__13 @ esk211_0), inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 216.52/216.57 thf(c_0_49, plain, f__15 @ f__13, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 216.52/216.57 thf(c_0_50, plain, ~f__15 @ esk211_0, inference(sr,[status(thm)],[c_0_45, c_0_42])).
% 216.52/216.57 thf(c_0_51, plain, ![X1:a, X2:a]:(f__15 @ X1|~f__1 @ X2 @ X1|~f__15 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_23])])).
% 216.52/216.57 thf(c_0_52, plain, f__1 @ f__13 @ esk211_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])).
% 216.52/216.57 thf(c_0_53, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_49])]), c_0_50]), ['proof']).
% 216.52/216.57 thf(13,plain,$false,inference(eprover,[status(thm),assumptions([h42,h43,h40,h41,h39,h37,h38,h35,h36,h34,h33,h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.52/216.57 thf(14,plain,$false,inference(tab_negimp,[status(thm),assumptions([h40,h41,h39,h37,h38,h35,h36,h34,h33,h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h42,h43])],[h40,13,h42,h43])).
% 216.52/216.57 thf(15,plain,$false,inference(tab_negimp,[status(thm),assumptions([h39,h37,h38,h35,h36,h34,h33,h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h40,h41])],[h39,14,h40,h41])).
% 216.52/216.57 thf(16,plain,$false,inference(tab_negall,[status(thm),assumptions([h37,h38,h35,h36,h34,h33,h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h39]),tab_negall(eigenvar,eigen__15)],[h36,15,h39])).
% 216.52/216.57 thf(17,plain,$false,inference(tab_negimp,[status(thm),assumptions([h35,h36,h34,h33,h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h37,h38])],[h35,16,h37,h38])).
% 216.52/216.57 thf(18,plain,$false,inference(tab_negimp,[status(thm),assumptions([h34,h33,h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h35,h36])],[h34,17,h35,h36])).
% 216.52/216.57 thf(19,plain,$false,inference(tab_negall,[status(thm),assumptions([h33,h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h34]),tab_negall(eigenvar,eigen__14)],[h33,18,h34])).
% 216.52/216.57 thf(20,plain,$false,inference(tab_negall,[status(thm),assumptions([h32,h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h33]),tab_negall(eigenvar,eigen__13)],[h32,19,h33])).
% 216.52/216.57 thf(21,plain,$false,inference(tab_negall,[status(thm),assumptions([h15,h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h32]),tab_negall(eigenvar,eigen__12)],[h15,20,h32])).
% 216.52/216.57 thf(22,plain,$false,inference(tab_imp,[status(thm),assumptions([h12,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h12,12,21,h14,h15])).
% 216.52/216.57 thf(23,plain,(~(sP5) | sP3),inference(all_rule,[status(thm)],[])).
% 216.52/216.57 thf(24,plain,((~(sP3) | sP6) | sP2),inference(prop_rule,[status(thm)],[])).
% 216.52/216.57 thf(25,plain,((~(sP6) | ~(sP1)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 216.52/216.57 thf(26,plain,$false,inference(prop_unsat,[status(thm),assumptions([h13,h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[23,24,25,h10,h11,h9,h13])).
% 216.52/216.57 thf(27,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h11,h8,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h6,22,26,h12,h13])).
% 216.52/216.57 thf(28,plain,$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])).
% 216.52/216.57 thf(29,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,28,h8,h9])).
% 216.52/216.57 thf(30,plain,$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])).
% 216.52/216.57 thf(31,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,30,h5,h6])).
% 216.52/216.57 thf(32,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__3)],[h3,31,h4])).
% 216.52/216.57 thf(33,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,32,h3])).
% 216.52/216.57 thf(34,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,33,h2])).
% 216.52/216.57 thf(35,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,34,h1])).
% 216.52/216.57 thf(0,theorem,(![X1:a>a>$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]:(![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)))))))))))) => (![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))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[35,h0])).
% 216.52/216.57 % SZS output end Proof
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