TSTP Solution File: SEV152^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV152^5 : 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 18:05:06 EDT 2022
% Result : Theorem 216.64s 216.66s
% Output : Proof 216.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV152^5 : 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
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 27 17:26:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 216.64/216.66 % SZS status Theorem
% 216.64/216.66 % Mode: mode447
% 216.64/216.66 % Inferences: 134
% 216.64/216.66 % SZS output start Proof
% 216.64/216.66 thf(ty_a, type, a : $tType).
% 216.64/216.66 thf(ty_eigen__14, type, eigen__14 : a).
% 216.64/216.66 thf(ty_eigen__6, type, eigen__6 : (a>$o)).
% 216.64/216.66 thf(ty_eigen__12, type, eigen__12 : (a>$o)).
% 216.64/216.66 thf(ty_eigen__2, type, eigen__2 : a).
% 216.64/216.66 thf(ty_eigen__16, type, eigen__16 : (a>$o)).
% 216.64/216.66 thf(ty_eigen__7, type, eigen__7 : (a>$o)).
% 216.64/216.66 thf(ty_eigen__15, type, eigen__15 : a).
% 216.64/216.66 thf(ty_eigen__1, type, eigen__1 : (a>a>$o)).
% 216.64/216.66 thf(ty_eigen__0, type, eigen__0 : (a>a>$o)).
% 216.64/216.66 thf(ty_eigen__4, type, eigen__4 : a).
% 216.64/216.66 thf(ty_eigen__5, type, eigen__5 : a).
% 216.64/216.66 thf(ty_eigen__11, type, eigen__11 : (a>$o)).
% 216.64/216.66 thf(ty_eigen__3, type, eigen__3 : a).
% 216.64/216.66 thf(ty_eigen__17, type, eigen__17 : (a>$o)).
% 216.64/216.66 thf(ty_eigen__13, type, eigen__13 : a).
% 216.64/216.66 thf(ty_eigen__18, type, eigen__18 : (a>$o)).
% 216.64/216.66 thf(sP1,plain,sP1 <=> ((~(((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__18 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__18 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__18 @ X2))))))))) => (eigen__18 @ eigen__3)),introduced(definition,[new_symbols(definition,[sP1])])).
% 216.64/216.66 thf(sP2,plain,sP2 <=> (![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__2) @ X2))) => ((eigen__1 @ eigen__2) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__3))),introduced(definition,[new_symbols(definition,[sP2])])).
% 216.64/216.66 thf(sP3,plain,sP3 <=> (![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__18 @ X1))),introduced(definition,[new_symbols(definition,[sP3])])).
% 216.64/216.66 thf(sP4,plain,sP4 <=> (![X1:a]:(![X2:a]:((~(((eigen__18 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__18 @ X2)))),introduced(definition,[new_symbols(definition,[sP4])])).
% 216.64/216.66 thf(sP5,plain,sP5 <=> (sP3 => (~(sP4))),introduced(definition,[new_symbols(definition,[sP5])])).
% 216.64/216.66 thf(sP6,plain,sP6 <=> (eigen__18 @ eigen__3),introduced(definition,[new_symbols(definition,[sP6])])).
% 216.64/216.66 thf(cTHM251D_pme,conjecture,(![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:(((~(((![X5:a]:(![X6:a]:(((~((![X7:a>$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)))) => (![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4))))))))).
% 216.64/216.66 thf(h0,negated_conjecture,(~((![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:(((~(((![X5:a]:(![X6:a]:(((~((![X7:a>$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)))) => (![X5:a>$o]:((~(((![X6:a]:(((~(((X1 @ X3) @ X6))) => ((X2 @ X3) @ X6)) => (X5 @ X6))) => (~((![X6:a]:(![X7:a]:((~(((X5 @ X6) => (~(((~(((X1 @ X6) @ X7))) => ((X2 @ X6) @ X7))))))) => (X5 @ X7))))))))) => (X5 @ X4)))))))))),inference(assume_negation,[status(cth)],[cTHM251D_pme])).
% 216.64/216.66 thf(h1,assumption,(~((![X1:a>a>$o]:(![X2:a]:(![X3:a]:(((~(((![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>$o]:((~(((![X5:a]:(((~(((eigen__0 @ X2) @ X5))) => ((X1 @ X2) @ X5)) => (X4 @ X5))) => (~((![X5:a]:(![X6:a]:((~(((X4 @ X5) => (~(((~(((eigen__0 @ X5) @ X6))) => ((X1 @ X5) @ X6))))))) => (X4 @ X6))))))))) => (X4 @ X3)))) => (![X4:a>$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,[])).
% 216.64/216.66 thf(h2,assumption,(~((![X1:a]:(![X2:a]:(((~(((![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>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2)))) => (![X3:a>$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,[])).
% 216.64/216.66 thf(h3,assumption,(~((![X1:a]:(((~(((![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>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__2) @ X3))) => ((eigen__1 @ eigen__2) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1)))) => (![X2:a>$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,[])).
% 216.64/216.66 thf(h4,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)))))))))))) => sP2) => sP2))),introduced(assumption,[])).
% 216.64/216.66 thf(h5,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)))))))))))) => sP2),introduced(assumption,[])).
% 216.64/216.66 thf(h6,assumption,(~(sP2)),introduced(assumption,[])).
% 216.64/216.66 thf(h7,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,[])).
% 216.64/216.66 thf(h8,assumption,sP2,introduced(assumption,[])).
% 216.64/216.66 thf(h9,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>$o]:((~(((![X4:a]:(((~(((eigen__0 @ X1) @ X4))) => ((eigen__1 @ X1) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2)))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h10,assumption,(~((![X1:a]:(![X2:a]:(![X3:a]:((~(((![X4:a>$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,[])).
% 216.64/216.66 thf(h11,assumption,(~((![X1:a]:(((~((![X2:a>$o]:((~(((![X3:a]:(((eigen__0 @ eigen__4) @ X3) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((eigen__0 @ X3) @ X4)))))) => (X2 @ X4))))))))) => (X2 @ X1))))) => (![X2:a>$o]:((~(((![X3:a]:(((eigen__1 @ eigen__4) @ X3) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((eigen__1 @ X3) @ X4)))))) => (X2 @ X4))))))))) => (X2 @ X1)))) => (![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__4) @ X3))) => ((eigen__1 @ eigen__4) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h12,assumption,(~((((~((![X1:a>$o]:((~(((![X2:a]:(((eigen__0 @ eigen__4) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__5))))) => (![X1:a>$o]:((~(((![X2:a]:(((eigen__1 @ eigen__4) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__1 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__5)))) => (![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__4) @ X2))) => ((eigen__1 @ eigen__4) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__5)))))),introduced(assumption,[])).
% 216.64/216.66 thf(h13,assumption,((~((![X1:a>$o]:((~(((![X2:a]:(((eigen__0 @ eigen__4) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__5))))) => (![X1:a>$o]:((~(((![X2:a]:(((eigen__1 @ eigen__4) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__1 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__5)))),introduced(assumption,[])).
% 216.64/216.66 thf(h14,assumption,(~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__4) @ X2))) => ((eigen__1 @ eigen__4) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__5))))),introduced(assumption,[])).
% 216.64/216.66 thf(h15,assumption,(![X1:a>$o]:((~(((![X2:a]:(((eigen__0 @ eigen__4) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__0 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__5))),introduced(assumption,[])).
% 216.64/216.66 thf(h16,assumption,(![X1:a>$o]:((~(((![X2:a]:(((eigen__1 @ eigen__4) @ X2) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((eigen__1 @ X2) @ X3)))))) => (X1 @ X3))))))))) => (X1 @ eigen__5))),introduced(assumption,[])).
% 216.64/216.66 thf(h17,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__4) @ X1))) => ((eigen__1 @ eigen__4) @ X1)) => (eigen__6 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__6 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__6 @ X2))))))))) => (eigen__6 @ eigen__5)))),introduced(assumption,[])).
% 216.64/216.66 thf(h18,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__4) @ X1))) => ((eigen__1 @ eigen__4) @ X1)) => (eigen__6 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__6 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__6 @ X2))))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h19,assumption,(~((eigen__6 @ eigen__5))),introduced(assumption,[])).
% 216.64/216.66 thf(h20,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__4) @ X1))) => ((eigen__1 @ eigen__4) @ X1)) => (eigen__6 @ X1))),introduced(assumption,[])).
% 216.64/216.66 thf(h21,assumption,(![X1:a]:(![X2:a]:((~(((eigen__6 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__6 @ X2)))),introduced(assumption,[])).
% 216.64/216.66 thf(h22,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ 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__3)))),introduced(assumption,[])).
% 216.64/216.66 thf(h23,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__7 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__7 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__7 @ X2))))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h24,assumption,(~((eigen__7 @ eigen__3))),introduced(assumption,[])).
% 216.64/216.66 thf(h25,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__7 @ X1))),introduced(assumption,[])).
% 216.64/216.66 thf(h26,assumption,(![X1:a]:(![X2:a]:((~(((eigen__7 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__7 @ X2)))),introduced(assumption,[])).
% 216.64/216.66 thf(ax83, axiom, (~(p7)|p18), file('<stdin>', ax83)).
% 216.64/216.66 thf(ax17, axiom, (~(p18)|p82|p4), file('<stdin>', ax17)).
% 216.64/216.66 thf(ax94, axiom, p7, file('<stdin>', ax94)).
% 216.64/216.66 thf(ax97, axiom, ~(p4), file('<stdin>', ax97)).
% 216.64/216.66 thf(pax6, axiom, (p6=>![X1:a]:((~(f__0 @ f__4 @ X1)=>f__1 @ f__4 @ X1)=>f__6 @ X1)), file('<stdin>', pax6)).
% 216.64/216.66 thf(ax16, axiom, (~(p82)|~(p83)|~(p84)), file('<stdin>', ax16)).
% 216.64/216.66 thf(nax83, axiom, (p83<=![X1:a]:(f__0 @ f__4 @ X1=>f__6 @ X1)), file('<stdin>', nax83)).
% 216.64/216.66 thf(ax95, axiom, p6, file('<stdin>', ax95)).
% 216.64/216.66 thf(pax5, axiom, (p5=>![X1:a, X2:a]:(~((f__6 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__6 @ X2)), file('<stdin>', pax5)).
% 216.64/216.66 thf(nax84, axiom, (p84<=![X1:a, X2:a]:(~((f__6 @ X1=>~(f__0 @ X1 @ X2)))=>f__6 @ X2)), file('<stdin>', nax84)).
% 216.64/216.66 thf(ax96, axiom, p5, file('<stdin>', ax96)).
% 216.64/216.66 thf(c_0_11, plain, (~p7|p18), inference(fof_simplification,[status(thm)],[ax83])).
% 216.64/216.66 thf(c_0_12, plain, (~p18|p82|p4), inference(fof_simplification,[status(thm)],[ax17])).
% 216.64/216.66 thf(c_0_13, plain, (p18|~p7), inference(split_conjunct,[status(thm)],[c_0_11])).
% 216.64/216.66 thf(c_0_14, plain, p7, inference(split_conjunct,[status(thm)],[ax94])).
% 216.64/216.66 thf(c_0_15, plain, ~p4, inference(fof_simplification,[status(thm)],[ax97])).
% 216.64/216.66 thf(c_0_16, plain, ![X219:a]:((~f__0 @ f__4 @ X219|f__6 @ X219|~p6)&(~f__1 @ f__4 @ X219|f__6 @ X219|~p6)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax6])])])])])).
% 216.64/216.66 thf(c_0_17, plain, (~p82|~p83|~p84), inference(fof_simplification,[status(thm)],[ax16])).
% 216.64/216.66 thf(c_0_18, plain, (p82|p4|~p18), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.64/216.66 thf(c_0_19, plain, p18, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 216.64/216.66 thf(c_0_20, plain, ~p4, inference(split_conjunct,[status(thm)],[c_0_15])).
% 216.64/216.66 thf(c_0_21, plain, ((f__0 @ f__4 @ esk6_0|p83)&(~f__6 @ esk6_0|p83)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax83])])])])])).
% 216.64/216.66 thf(c_0_22, plain, ![X1:a]:(f__6 @ X1|~f__0 @ f__4 @ X1|~p6), inference(split_conjunct,[status(thm)],[c_0_16])).
% 216.64/216.66 thf(c_0_23, plain, p6, inference(split_conjunct,[status(thm)],[ax95])).
% 216.64/216.66 thf(c_0_24, plain, (~p82|~p83|~p84), inference(split_conjunct,[status(thm)],[c_0_17])).
% 216.64/216.66 thf(c_0_25, plain, p82, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])]), c_0_20])).
% 216.64/216.66 thf(c_0_26, plain, (p83|~f__6 @ esk6_0), inference(split_conjunct,[status(thm)],[c_0_21])).
% 216.64/216.66 thf(c_0_27, plain, ![X1:a]:(f__6 @ X1|~f__0 @ f__4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.64/216.66 thf(c_0_28, plain, (f__0 @ f__4 @ esk6_0|p83), inference(split_conjunct,[status(thm)],[c_0_21])).
% 216.64/216.66 thf(c_0_29, plain, ![X221:a, X222:a]:((~f__0 @ X221 @ X222|~f__6 @ X221|f__6 @ X222|~p5)&(~f__1 @ X221 @ X222|~f__6 @ X221|f__6 @ X222|~p5)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax5])])])])])).
% 216.64/216.66 thf(c_0_30, plain, (((f__6 @ esk4_0|p84)&(f__0 @ esk4_0 @ esk5_0|p84))&(~f__6 @ esk5_0|p84)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax84])])])])])).
% 216.64/216.66 thf(c_0_31, plain, (~p83|~p84), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 216.64/216.66 thf(c_0_32, plain, p83, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])).
% 216.64/216.66 thf(c_0_33, plain, ![X2:a, X1:a]:(f__6 @ X2|~f__0 @ X1 @ X2|~f__6 @ X1|~p5), inference(split_conjunct,[status(thm)],[c_0_29])).
% 216.64/216.66 thf(c_0_34, plain, p5, inference(split_conjunct,[status(thm)],[ax96])).
% 216.64/216.66 thf(c_0_35, plain, (f__0 @ esk4_0 @ esk5_0|p84), inference(split_conjunct,[status(thm)],[c_0_30])).
% 216.64/216.66 thf(c_0_36, plain, ~p84, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
% 216.64/216.66 thf(c_0_37, plain, (f__6 @ esk4_0|p84), inference(split_conjunct,[status(thm)],[c_0_30])).
% 216.64/216.66 thf(c_0_38, plain, ![X1:a, X2:a]:(f__6 @ X1|~f__0 @ X2 @ X1|~f__6 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 216.64/216.66 thf(c_0_39, plain, f__0 @ esk4_0 @ esk5_0, inference(sr,[status(thm)],[c_0_35, c_0_36])).
% 216.64/216.66 thf(c_0_40, plain, f__6 @ esk4_0, inference(sr,[status(thm)],[c_0_37, c_0_36])).
% 216.64/216.66 thf(c_0_41, plain, (p84|~f__6 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_30])).
% 216.64/216.66 thf(c_0_42, plain, f__6 @ esk5_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])])).
% 216.64/216.66 thf(c_0_43, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])]), c_0_36]), ['proof']).
% 216.64/216.66 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h25,h26,h23,h24,h22,h20,h21,h18,h19,h17,h15,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.64/216.66 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h23,h24,h22,h20,h21,h18,h19,h17,h15,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h25,h26])],[h23,1,h25,h26])).
% 216.64/216.66 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h22,h20,h21,h18,h19,h17,h15,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h23,h24])],[h22,2,h23,h24])).
% 216.64/216.66 thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h20,h21,h18,h19,h17,h15,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h22]),tab_negall(eigenvar,eigen__7)],[h6,3,h22])).
% 216.64/216.66 thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h18,h19,h17,h15,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h20,h21])],[h18,4,h20,h21])).
% 216.64/216.66 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h17,h15,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h17,5,h18,h19])).
% 216.64/216.66 thf(7,plain,$false,inference(tab_negall,[status(thm),assumptions([h15,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__6)],[h14,6,h17])).
% 216.64/216.66 thf(h27,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__4) @ X1))) => ((eigen__1 @ eigen__4) @ 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__5)))),introduced(assumption,[])).
% 216.64/216.66 thf(h28,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__4) @ X1))) => ((eigen__1 @ eigen__4) @ X1)) => (eigen__11 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__11 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__11 @ X2))))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h29,assumption,(~((eigen__11 @ eigen__5))),introduced(assumption,[])).
% 216.64/216.66 thf(h30,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__4) @ X1))) => ((eigen__1 @ eigen__4) @ X1)) => (eigen__11 @ X1))),introduced(assumption,[])).
% 216.64/216.66 thf(h31,assumption,(![X1:a]:(![X2:a]:((~(((eigen__11 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__11 @ X2)))),introduced(assumption,[])).
% 216.64/216.66 thf(h32,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ 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__3)))),introduced(assumption,[])).
% 216.64/216.66 thf(h33,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__12 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__12 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__12 @ X2))))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h34,assumption,(~((eigen__12 @ eigen__3))),introduced(assumption,[])).
% 216.64/216.66 thf(h35,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__12 @ X1))),introduced(assumption,[])).
% 216.64/216.66 thf(h36,assumption,(![X1:a]:(![X2:a]:((~(((eigen__12 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__12 @ X2)))),introduced(assumption,[])).
% 216.64/216.66 thf(ax53, axiom, (~(p108)|p159), file('<stdin>', ax53)).
% 216.64/216.66 thf(nax105, axiom, (p105<=f__11 @ f__5), file('<stdin>', nax105)).
% 216.64/216.66 thf(ax109, axiom, ~(p105), file('<stdin>', ax109)).
% 216.64/216.66 thf(pax159, axiom, (p159=>(~((![X1:a]:(f__1 @ f__4 @ X1=>f__11 @ X1)=>~(![X1:a, X2:a]:(~((f__11 @ X1=>~(f__1 @ X1 @ X2)))=>f__11 @ X2))))=>f__11 @ f__5)), file('<stdin>', pax159)).
% 216.64/216.66 thf(ax106, axiom, p108, file('<stdin>', ax106)).
% 216.64/216.66 thf(pax107, axiom, (p107=>![X1:a]:((~(f__0 @ f__4 @ X1)=>f__1 @ f__4 @ X1)=>f__11 @ X1)), file('<stdin>', pax107)).
% 216.64/216.66 thf(pax106, axiom, (p106=>![X1:a, X2:a]:(~((f__11 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__11 @ X2)), file('<stdin>', pax106)).
% 216.64/216.66 thf(ax107, axiom, p107, file('<stdin>', ax107)).
% 216.64/216.66 thf(ax108, axiom, p106, file('<stdin>', ax108)).
% 216.64/216.66 thf(c_0_9, plain, (~p108|p159), inference(fof_simplification,[status(thm)],[ax53])).
% 216.64/216.66 thf(c_0_10, plain, (~f__11 @ f__5|p105), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax105])])).
% 216.64/216.66 thf(c_0_11, plain, ~p105, inference(fof_simplification,[status(thm)],[ax109])).
% 216.64/216.66 thf(c_0_12, plain, ((((f__11 @ esk26_0|f__1 @ f__4 @ esk25_0|f__11 @ f__5|~p159)&(f__1 @ esk26_0 @ esk27_0|f__1 @ f__4 @ esk25_0|f__11 @ f__5|~p159))&(~f__11 @ esk27_0|f__1 @ f__4 @ esk25_0|f__11 @ f__5|~p159))&(((f__11 @ esk26_0|~f__11 @ esk25_0|f__11 @ f__5|~p159)&(f__1 @ esk26_0 @ esk27_0|~f__11 @ esk25_0|f__11 @ f__5|~p159))&(~f__11 @ esk27_0|~f__11 @ esk25_0|f__11 @ f__5|~p159))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax159])])])])])).
% 216.64/216.66 thf(c_0_13, plain, (p159|~p108), inference(split_conjunct,[status(thm)],[c_0_9])).
% 216.64/216.66 thf(c_0_14, plain, p108, inference(split_conjunct,[status(thm)],[ax106])).
% 216.64/216.66 thf(c_0_15, plain, (p105|~f__11 @ f__5), inference(split_conjunct,[status(thm)],[c_0_10])).
% 216.64/216.66 thf(c_0_16, plain, ~p105, inference(split_conjunct,[status(thm)],[c_0_11])).
% 216.64/216.66 thf(c_0_17, plain, ![X275:a]:((~f__0 @ f__4 @ X275|f__11 @ X275|~p107)&(~f__1 @ f__4 @ X275|f__11 @ X275|~p107)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax107])])])])])).
% 216.64/216.66 thf(c_0_18, plain, ![X277:a, X278:a]:((~f__0 @ X277 @ X278|~f__11 @ X277|f__11 @ X278|~p106)&(~f__1 @ X277 @ X278|~f__11 @ X277|f__11 @ X278|~p106)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax106])])])])])).
% 216.64/216.66 thf(c_0_19, plain, (f__1 @ esk26_0 @ esk27_0|f__11 @ f__5|~f__11 @ esk25_0|~p159), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.64/216.66 thf(c_0_20, plain, p159, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 216.64/216.66 thf(c_0_21, plain, ~f__11 @ f__5, inference(sr,[status(thm)],[c_0_15, c_0_16])).
% 216.64/216.66 thf(c_0_22, plain, ![X1:a]:(f__11 @ X1|~f__1 @ f__4 @ X1|~p107), inference(split_conjunct,[status(thm)],[c_0_17])).
% 216.64/216.66 thf(c_0_23, plain, p107, inference(split_conjunct,[status(thm)],[ax107])).
% 216.64/216.66 thf(c_0_24, plain, (f__1 @ esk26_0 @ esk27_0|f__1 @ f__4 @ esk25_0|f__11 @ f__5|~p159), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.64/216.66 thf(c_0_25, plain, ![X2:a, X1:a]:(f__11 @ X2|~f__1 @ X1 @ X2|~f__11 @ X1|~p106), inference(split_conjunct,[status(thm)],[c_0_18])).
% 216.64/216.66 thf(c_0_26, plain, p106, inference(split_conjunct,[status(thm)],[ax108])).
% 216.64/216.66 thf(c_0_27, plain, (f__1 @ esk26_0 @ esk27_0|~f__11 @ esk25_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])]), c_0_21])).
% 216.64/216.66 thf(c_0_28, plain, ![X1:a]:(f__11 @ X1|~f__1 @ f__4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.64/216.66 thf(c_0_29, plain, (f__1 @ esk26_0 @ esk27_0|f__1 @ f__4 @ esk25_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_20])]), c_0_21])).
% 216.64/216.66 thf(c_0_30, plain, (f__11 @ f__5|~f__11 @ esk27_0|~f__11 @ esk25_0|~p159), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.64/216.66 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])])).
% 216.64/216.66 thf(c_0_32, plain, f__1 @ esk26_0 @ esk27_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
% 216.64/216.66 thf(c_0_33, plain, (f__11 @ esk26_0|f__11 @ f__5|~f__11 @ esk25_0|~p159), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.64/216.66 thf(c_0_34, plain, (~f__11 @ esk25_0|~f__11 @ esk27_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_20])]), c_0_21])).
% 216.64/216.66 thf(c_0_35, plain, (f__11 @ esk27_0|~f__11 @ esk26_0), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 216.64/216.66 thf(c_0_36, plain, (f__11 @ esk26_0|~f__11 @ esk25_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_20])]), c_0_21])).
% 216.64/216.66 thf(c_0_37, plain, (f__11 @ esk26_0|f__1 @ f__4 @ esk25_0|f__11 @ f__5|~p159), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.64/216.66 thf(c_0_38, plain, ~f__11 @ esk25_0, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
% 216.64/216.66 thf(c_0_39, plain, (f__1 @ f__4 @ esk25_0|f__11 @ esk26_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_20])]), c_0_21])).
% 216.64/216.66 thf(c_0_40, plain, ~f__1 @ f__4 @ esk25_0, inference(spm,[status(thm)],[c_0_38, c_0_28])).
% 216.64/216.66 thf(c_0_41, plain, (f__1 @ f__4 @ esk25_0|f__11 @ f__5|~f__11 @ esk27_0|~p159), inference(split_conjunct,[status(thm)],[c_0_12])).
% 216.64/216.66 thf(c_0_42, plain, f__11 @ esk26_0, inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 216.64/216.66 thf(c_0_43, plain, (f__1 @ f__4 @ esk25_0|~f__11 @ esk27_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_20])]), c_0_21])).
% 216.64/216.66 thf(c_0_44, plain, f__11 @ esk27_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_42])])).
% 216.64/216.66 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']).
% 216.64/216.66 thf(8,plain,$false,inference(eprover,[status(thm),assumptions([h35,h36,h33,h34,h32,h30,h31,h28,h29,h27,h16,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.64/216.66 thf(9,plain,$false,inference(tab_negimp,[status(thm),assumptions([h33,h34,h32,h30,h31,h28,h29,h27,h16,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h35,h36])],[h33,8,h35,h36])).
% 216.64/216.66 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h32,h30,h31,h28,h29,h27,h16,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h33,h34])],[h32,9,h33,h34])).
% 216.64/216.66 thf(11,plain,$false,inference(tab_negall,[status(thm),assumptions([h30,h31,h28,h29,h27,h16,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h32]),tab_negall(eigenvar,eigen__12)],[h6,10,h32])).
% 216.64/216.66 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h28,h29,h27,h16,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h28,11,h30,h31])).
% 216.64/216.66 thf(13,plain,$false,inference(tab_negimp,[status(thm),assumptions([h27,h16,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h27,12,h28,h29])).
% 216.64/216.66 thf(14,plain,$false,inference(tab_negall,[status(thm),assumptions([h16,h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h27]),tab_negall(eigenvar,eigen__11)],[h14,13,h27])).
% 216.64/216.66 thf(15,plain,$false,inference(tab_imp,[status(thm),assumptions([h13,h14,h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h13,7,14,h15,h16])).
% 216.64/216.66 thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h12,h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h13,h14])],[h12,15,h13,h14])).
% 216.64/216.66 thf(17,plain,$false,inference(tab_negall,[status(thm),assumptions([h11,h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__5)],[h11,16,h12])).
% 216.64/216.66 thf(18,plain,$false,inference(tab_negall,[status(thm),assumptions([h9,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h11]),tab_negall(eigenvar,eigen__4)],[h9,17,h11])).
% 216.64/216.66 thf(h37,assumption,(~((![X1:a]:(![X2:a]:((~(((![X3:a>$o]:((~(((![X4:a]:(((~(((eigen__0 @ eigen__13) @ X4))) => ((eigen__1 @ eigen__13) @ 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__13) @ X4))) => ((eigen__1 @ eigen__13) @ X4)) => (X3 @ X4))) => (~((![X4:a]:(![X5:a]:((~(((X3 @ X4) => (~(((~(((eigen__0 @ X4) @ X5))) => ((eigen__1 @ X4) @ X5))))))) => (X3 @ X5))))))))) => (X3 @ X2)))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h38,assumption,(~((![X1:a]:((~(((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__13) @ X3))) => ((eigen__1 @ eigen__13) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ eigen__14))) => (~((![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__14) @ X3))) => ((eigen__1 @ eigen__14) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1)))))))) => (![X2:a>$o]:((~(((![X3:a]:(((~(((eigen__0 @ eigen__13) @ X3))) => ((eigen__1 @ eigen__13) @ X3)) => (X2 @ X3))) => (~((![X3:a]:(![X4:a]:((~(((X2 @ X3) => (~(((~(((eigen__0 @ X3) @ X4))) => ((eigen__1 @ X3) @ X4))))))) => (X2 @ X4))))))))) => (X2 @ X1))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h39,assumption,(~(((~(((![X1:a>$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))) => (~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__14) @ X2))) => ((eigen__1 @ eigen__14) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__15)))))))) => (![X1:a>$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__15)))))),introduced(assumption,[])).
% 216.64/216.66 thf(h40,assumption,(~(((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__13) @ X2))) => ((eigen__1 @ eigen__13) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__14))) => (~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__14) @ X2))) => ((eigen__1 @ eigen__14) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__15)))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h41,assumption,(~((![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__13) @ X2))) => ((eigen__1 @ eigen__13) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__15))))),introduced(assumption,[])).
% 216.64/216.66 thf(h42,assumption,(![X1:a>$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,[])).
% 216.64/216.66 thf(h43,assumption,(![X1:a>$o]:((~(((![X2:a]:(((~(((eigen__0 @ eigen__14) @ X2))) => ((eigen__1 @ eigen__14) @ X2)) => (X1 @ X2))) => (~((![X2:a]:(![X3:a]:((~(((X1 @ X2) => (~(((~(((eigen__0 @ X2) @ X3))) => ((eigen__1 @ X2) @ X3))))))) => (X1 @ X3))))))))) => (X1 @ eigen__15))),introduced(assumption,[])).
% 216.64/216.66 thf(h44,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__13) @ X1))) => ((eigen__1 @ eigen__13) @ X1)) => (eigen__16 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__16 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__16 @ X2))))))))) => (eigen__16 @ eigen__15)))),introduced(assumption,[])).
% 216.64/216.66 thf(h45,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__13) @ X1))) => ((eigen__1 @ eigen__13) @ X1)) => (eigen__16 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__16 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__16 @ X2))))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h46,assumption,(~((eigen__16 @ eigen__15))),introduced(assumption,[])).
% 216.64/216.66 thf(h47,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__13) @ X1))) => ((eigen__1 @ eigen__13) @ X1)) => (eigen__16 @ X1))),introduced(assumption,[])).
% 216.64/216.66 thf(h48,assumption,(![X1:a]:(![X2:a]:((~(((eigen__16 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__16 @ X2)))),introduced(assumption,[])).
% 216.64/216.66 thf(h49,assumption,(~(((~(((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__17 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__17 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__17 @ X2))))))))) => (eigen__17 @ eigen__3)))),introduced(assumption,[])).
% 216.64/216.66 thf(h50,assumption,(~(((![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__17 @ X1))) => (~((![X1:a]:(![X2:a]:((~(((eigen__17 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__17 @ X2))))))))),introduced(assumption,[])).
% 216.64/216.66 thf(h51,assumption,(~((eigen__17 @ eigen__3))),introduced(assumption,[])).
% 216.64/216.66 thf(h52,assumption,(![X1:a]:(((~(((eigen__0 @ eigen__2) @ X1))) => ((eigen__1 @ eigen__2) @ X1)) => (eigen__17 @ X1))),introduced(assumption,[])).
% 216.64/216.66 thf(h53,assumption,(![X1:a]:(![X2:a]:((~(((eigen__17 @ X1) => (~(((~(((eigen__0 @ X1) @ X2))) => ((eigen__1 @ X1) @ X2))))))) => (eigen__17 @ X2)))),introduced(assumption,[])).
% 216.64/216.66 thf(ax62, axiom, (~(p209)|p234), file('<stdin>', ax62)).
% 216.64/216.66 thf(ax64, axiom, (~(p233)|~(p232)|~(p207)), file('<stdin>', ax64)).
% 216.64/216.66 thf(ax63, axiom, (~(p234)|p233|p206), file('<stdin>', ax63)).
% 216.64/216.66 thf(ax88, axiom, p209, file('<stdin>', ax88)).
% 216.64/216.66 thf(ax91, axiom, ~(p206), file('<stdin>', ax91)).
% 216.64/216.66 thf(ax3, axiom, (~(p210)|p298), file('<stdin>', ax3)).
% 216.64/216.66 thf(ax5, axiom, (~(p297)|~(p208)|~(p207)), file('<stdin>', ax5)).
% 216.64/216.66 thf(ax90, axiom, p207, file('<stdin>', ax90)).
% 216.64/216.66 thf(ax4, axiom, (~(p298)|p297|p296), file('<stdin>', ax4)).
% 216.64/216.66 thf(ax87, axiom, p210, file('<stdin>', ax87)).
% 216.64/216.66 thf(ax89, axiom, p208, file('<stdin>', ax89)).
% 216.64/216.66 thf(pax207, axiom, (p207=>![X1:a, X2:a]:(~((f__16 @ X1=>~((~(f__0 @ X1 @ X2)=>f__1 @ X1 @ X2))))=>f__16 @ X2)), file('<stdin>', pax207)).
% 216.64/216.66 thf(nax232, axiom, (p232<=![X1:a]:((~(f__0 @ f__14 @ X1)=>f__1 @ f__14 @ X1)=>f__16 @ X1)), file('<stdin>', nax232)).
% 216.64/216.66 thf(pax296, axiom, (p296=>f__16 @ f__14), file('<stdin>', pax296)).
% 216.64/216.66 thf(c_0_14, plain, (~p209|p234), inference(fof_simplification,[status(thm)],[ax62])).
% 216.64/216.66 thf(c_0_15, plain, (~p233|~p232|~p207), inference(fof_simplification,[status(thm)],[ax64])).
% 216.64/216.66 thf(c_0_16, plain, (~p234|p233|p206), inference(fof_simplification,[status(thm)],[ax63])).
% 216.64/216.66 thf(c_0_17, plain, (p234|~p209), inference(split_conjunct,[status(thm)],[c_0_14])).
% 216.64/216.66 thf(c_0_18, plain, p209, inference(split_conjunct,[status(thm)],[ax88])).
% 216.64/216.66 thf(c_0_19, plain, ~p206, inference(fof_simplification,[status(thm)],[ax91])).
% 216.64/216.66 thf(c_0_20, plain, (~p210|p298), inference(fof_simplification,[status(thm)],[ax3])).
% 216.64/216.66 thf(c_0_21, plain, (~p297|~p208|~p207), inference(fof_simplification,[status(thm)],[ax5])).
% 216.64/216.66 thf(c_0_22, plain, (~p233|~p232|~p207), inference(split_conjunct,[status(thm)],[c_0_15])).
% 216.64/216.66 thf(c_0_23, plain, p207, inference(split_conjunct,[status(thm)],[ax90])).
% 216.64/216.66 thf(c_0_24, plain, (p233|p206|~p234), inference(split_conjunct,[status(thm)],[c_0_16])).
% 216.64/216.66 thf(c_0_25, plain, p234, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 216.64/216.66 thf(c_0_26, plain, ~p206, inference(split_conjunct,[status(thm)],[c_0_19])).
% 216.64/216.66 thf(c_0_27, plain, (~p298|p297|p296), inference(fof_simplification,[status(thm)],[ax4])).
% 216.64/216.66 thf(c_0_28, plain, (p298|~p210), inference(split_conjunct,[status(thm)],[c_0_20])).
% 216.64/216.66 thf(c_0_29, plain, p210, inference(split_conjunct,[status(thm)],[ax87])).
% 216.64/216.66 thf(c_0_30, plain, (~p297|~p208|~p207), inference(split_conjunct,[status(thm)],[c_0_21])).
% 216.64/216.66 thf(c_0_31, plain, p208, inference(split_conjunct,[status(thm)],[ax89])).
% 216.64/216.66 thf(c_0_32, plain, ![X383:a, X384:a]:((~f__0 @ X383 @ X384|~f__16 @ X383|f__16 @ X384|~p207)&(~f__1 @ X383 @ X384|~f__16 @ X383|f__16 @ X384|~p207)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax207])])])])])).
% 216.64/216.66 thf(c_0_33, plain, ((f__0 @ f__14 @ esk179_0|f__1 @ f__14 @ esk179_0|p232)&(~f__16 @ esk179_0|p232)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax232])])])])])).
% 216.64/216.66 thf(c_0_34, plain, (~p232|~p233), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 216.64/216.66 thf(c_0_35, plain, p233, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])]), c_0_26])).
% 216.64/216.66 thf(c_0_36, plain, (~p296|f__16 @ f__14), inference(fof_nnf,[status(thm)],[pax296])).
% 216.64/216.66 thf(c_0_37, plain, (p297|p296|~p298), inference(split_conjunct,[status(thm)],[c_0_27])).
% 216.64/216.66 thf(c_0_38, plain, p298, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 216.64/216.66 thf(c_0_39, plain, ~p297, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_23]), c_0_31])])).
% 216.64/216.66 thf(c_0_40, plain, ![X2:a, X1:a]:(f__16 @ X2|~f__0 @ X1 @ X2|~f__16 @ X1|~p207), inference(split_conjunct,[status(thm)],[c_0_32])).
% 216.64/216.66 thf(c_0_41, plain, (f__0 @ f__14 @ esk179_0|f__1 @ f__14 @ esk179_0|p232), inference(split_conjunct,[status(thm)],[c_0_33])).
% 216.64/216.66 thf(c_0_42, plain, ~p232, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 216.64/216.66 thf(c_0_43, plain, (f__16 @ f__14|~p296), inference(split_conjunct,[status(thm)],[c_0_36])).
% 216.64/216.66 thf(c_0_44, plain, p296, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])]), c_0_39])).
% 216.64/216.66 thf(c_0_45, plain, (p232|~f__16 @ esk179_0), inference(split_conjunct,[status(thm)],[c_0_33])).
% 216.64/216.66 thf(c_0_46, plain, ![X2:a, X1:a]:(f__16 @ X2|~f__1 @ X1 @ X2|~f__16 @ X1|~p207), inference(split_conjunct,[status(thm)],[c_0_32])).
% 216.64/216.66 thf(c_0_47, plain, ![X1:a, X2:a]:(f__16 @ X1|~f__0 @ X2 @ X1|~f__16 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_23])])).
% 216.64/216.66 thf(c_0_48, plain, (f__0 @ f__14 @ esk179_0|f__1 @ f__14 @ esk179_0), inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 216.64/216.66 thf(c_0_49, plain, f__16 @ f__14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 216.64/216.66 thf(c_0_50, plain, ~f__16 @ esk179_0, inference(sr,[status(thm)],[c_0_45, c_0_42])).
% 216.64/216.66 thf(c_0_51, plain, ![X1:a, X2:a]:(f__16 @ X1|~f__1 @ X2 @ X1|~f__16 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_23])])).
% 216.64/216.66 thf(c_0_52, plain, f__1 @ f__14 @ esk179_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])).
% 216.64/216.66 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']).
% 216.64/216.66 thf(19,plain,$false,inference(eprover,[status(thm),assumptions([h52,h53,h50,h51,h49,h47,h48,h45,h46,h44,h42,h43,h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0])],[])).
% 216.64/216.66 thf(20,plain,$false,inference(tab_negimp,[status(thm),assumptions([h50,h51,h49,h47,h48,h45,h46,h44,h42,h43,h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h52,h53])],[h50,19,h52,h53])).
% 216.64/216.66 thf(21,plain,$false,inference(tab_negimp,[status(thm),assumptions([h49,h47,h48,h45,h46,h44,h42,h43,h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h50,h51])],[h49,20,h50,h51])).
% 216.64/216.66 thf(22,plain,$false,inference(tab_negall,[status(thm),assumptions([h47,h48,h45,h46,h44,h42,h43,h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h49]),tab_negall(eigenvar,eigen__17)],[h6,21,h49])).
% 216.64/216.66 thf(23,plain,$false,inference(tab_negimp,[status(thm),assumptions([h45,h46,h44,h42,h43,h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h47,h48])],[h45,22,h47,h48])).
% 216.64/216.66 thf(24,plain,$false,inference(tab_negimp,[status(thm),assumptions([h44,h42,h43,h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h45,h46])],[h44,23,h45,h46])).
% 216.64/216.66 thf(25,plain,$false,inference(tab_negall,[status(thm),assumptions([h42,h43,h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h44]),tab_negall(eigenvar,eigen__16)],[h41,24,h44])).
% 216.64/216.66 thf(26,plain,$false,inference(tab_negimp,[status(thm),assumptions([h40,h41,h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h42,h43])],[h40,25,h42,h43])).
% 216.64/216.66 thf(27,plain,$false,inference(tab_negimp,[status(thm),assumptions([h39,h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h40,h41])],[h39,26,h40,h41])).
% 216.64/216.66 thf(28,plain,$false,inference(tab_negall,[status(thm),assumptions([h38,h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h39]),tab_negall(eigenvar,eigen__15)],[h38,27,h39])).
% 216.64/216.66 thf(29,plain,$false,inference(tab_negall,[status(thm),assumptions([h37,h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h38]),tab_negall(eigenvar,eigen__14)],[h37,28,h38])).
% 216.64/216.66 thf(30,plain,$false,inference(tab_negall,[status(thm),assumptions([h10,h7,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h37]),tab_negall(eigenvar,eigen__13)],[h10,29,h37])).
% 216.64/216.66 thf(31,plain,$false,inference(tab_imp,[status(thm),assumptions([h7,h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h7,18,30,h9,h10])).
% 216.64/216.66 thf(h54,assumption,(~(sP1)),introduced(assumption,[])).
% 216.64/216.66 thf(h55,assumption,(~(sP5)),introduced(assumption,[])).
% 216.64/216.66 thf(h56,assumption,(~(sP6)),introduced(assumption,[])).
% 216.64/216.66 thf(h57,assumption,sP3,introduced(assumption,[])).
% 216.64/216.66 thf(h58,assumption,sP4,introduced(assumption,[])).
% 216.64/216.66 thf(32,plain,(~(sP2) | sP1),inference(all_rule,[status(thm)],[])).
% 216.64/216.66 thf(33,plain,((~(sP1) | sP5) | sP6),inference(prop_rule,[status(thm)],[])).
% 216.64/216.66 thf(34,plain,((~(sP5) | ~(sP3)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 216.64/216.66 thf(35,plain,$false,inference(prop_unsat,[status(thm),assumptions([h57,h58,h55,h56,h54,h8,h5,h6,h4,h3,h2,h1,h0])],[32,33,34,h8,h57,h58,h56])).
% 216.64/216.66 thf(36,plain,$false,inference(tab_negimp,[status(thm),assumptions([h55,h56,h54,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h57,h58])],[h55,35,h57,h58])).
% 216.64/216.66 thf(37,plain,$false,inference(tab_negimp,[status(thm),assumptions([h54,h8,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h55,h56])],[h54,36,h55,h56])).
% 216.64/216.66 thf(38,plain,$false,inference(tab_negall,[status(thm),assumptions([h8,h5,h6,h4,h3,h2,h1,h0]),tab_negall(discharge,[h54]),tab_negall(eigenvar,eigen__18)],[h6,37,h54])).
% 216.64/216.66 thf(39,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,31,38,h7,h8])).
% 216.64/216.66 thf(40,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,39,h5,h6])).
% 216.64/216.66 thf(41,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__3)],[h3,40,h4])).
% 216.64/216.66 thf(42,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,41,h3])).
% 216.64/216.66 thf(43,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,42,h2])).
% 216.64/216.66 thf(44,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,43,h1])).
% 216.64/216.66 thf(0,theorem,(![X1:a>a>$o]:(![X2:a>a>$o]:(![X3:a]:(![X4:a]:(((~(((![X5:a]:(![X6:a]:(((~((![X7:a>$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)))) => (![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])],[44,h0])).
% 216.64/216.66 % SZS output end Proof
%------------------------------------------------------------------------------