TSTP Solution File: LCL644+1.005 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 : 300s
% DateTime : Thu Aug 31 07:10:22 EDT 2023
% Result : Theorem 3.74s 3.93s
% Output : Proof 3.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 00:06:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.74/3.93 SZS status Theorem for theBenchmark.p
% 3.74/3.93 SZS output start Proof for theBenchmark.p
% 3.74/3.93 Clause #0 (by assumption #[]): Eq
% 3.74/3.93 (Not
% 3.74/3.93 (Not
% 3.74/3.93 (Exists fun X =>
% 3.74/3.93 Not
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (Not
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X))))) (p5 Y))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (p6 Y))
% 3.74/3.93 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y)))))
% 3.74/3.93 (Not
% 3.74/3.93 (And
% 3.74/3.93 (And
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or (Not (r1 X Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or (Not (r1 Y X))
% 3.74/3.93 (Not (And (p6 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y)))))
% 3.74/3.93 (p5 X)))
% 3.74/3.93 (p6 Y))
% 3.74/3.93 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.74/3.93 (p5 Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or (Or (Not (r1 Y X)) (p6 X))
% 3.74/3.93 (Not (And (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y))) (p5 X))))))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.74/3.93 (p5 Y))
% 3.74/3.93 (p6 Y))
% 3.74/3.93 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))))))
% 3.74/3.93 (Not
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))))) (p4 Y))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (p5 Y))
% 3.74/3.93 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))
% 3.74/3.93 (Not
% 3.74/3.93 (And
% 3.74/3.93 (And
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or (Not (r1 X Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or (Not (r1 Y X))
% 3.74/3.93 (Not (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))))
% 3.74/3.93 (p4 X)))
% 3.74/3.93 (p5 Y))
% 3.74/3.93 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y))))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.74/3.93 (p4 Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or (Or (Not (r1 Y X)) (p5 X))
% 3.74/3.93 (Not (And (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))) (p4 X))))))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.74/3.93 (p4 Y))
% 3.74/3.93 (p5 Y))
% 3.74/3.93 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))))))
% 3.74/3.93 (Not
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))))) (p3 Y))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (p4 Y))
% 3.74/3.93 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))
% 3.74/3.93 (Not
% 3.74/3.93 (And
% 3.74/3.93 (And
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or (Not (r1 X Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or (Not (r1 Y X))
% 3.74/3.93 (Not (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y)))))
% 3.74/3.93 (p3 X)))
% 3.74/3.93 (p4 Y))
% 3.74/3.93 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y))))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.74/3.93 (p3 Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or (Or (Not (r1 Y X)) (p4 X))
% 3.74/3.93 (Not (And (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y))) (p3 X))))))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.74/3.93 (p3 Y))
% 3.74/3.93 (p4 Y))
% 3.74/3.93 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))))))
% 3.74/3.93 (Not
% 3.74/3.93 (Or
% 3.74/3.93 (Or
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))))) (p2 Y))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or (Or (Not (r1 X Y)) (p3 Y))
% 3.74/3.93 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))
% 3.74/3.93 (Not
% 3.74/3.93 (And
% 3.74/3.93 (And
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or
% 3.74/3.93 (Or (Not (r1 X Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or (Or (Not (r1 Y X)) (Not (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))))
% 3.74/3.93 (p2 X)))
% 3.74/3.93 (p3 Y))
% 3.74/3.93 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y))))
% 3.74/3.93 (∀ (Y : Iota),
% 3.74/3.93 Or
% 3.74/3.93 (Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.74/3.93 (p2 Y))
% 3.74/3.93 (∀ (X : Iota),
% 3.74/3.93 Or (Or (Not (r1 Y X)) (p3 X))
% 3.74/3.93 (Not (And (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))) (p2 X))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.80/3.98 (p2 Y))
% 3.80/3.98 (p3 Y))
% 3.80/3.98 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.80/3.98 (∀ (Y : Iota), Or (Or (Not (r1 X Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (p2 Y))
% 3.80/3.98 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Not (r1 X Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (Not (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y)))))
% 3.80/3.98 (p1 X)))
% 3.80/3.98 (p2 Y))
% 3.80/3.98 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (p2 X))
% 3.80/3.98 (Not (And (And (p1 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y))) (p1 X))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.80/3.98 (p2 Y))
% 3.80/3.98 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))))))))))
% 3.80/3.98 True
% 3.80/3.98 Clause #1 (by clausification #[0]): Eq
% 3.80/3.98 (Not
% 3.80/3.98 (Exists fun X =>
% 3.80/3.98 Not
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (Not
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X))))) (p5 Y))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (p6 Y))
% 3.80/3.98 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Not (r1 X Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Not (r1 Y X))
% 3.80/3.98 (Not (And (p6 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y)))))
% 3.80/3.98 (p5 X)))
% 3.80/3.98 (p6 Y))
% 3.80/3.98 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.80/3.98 (p5 Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (p6 X))
% 3.80/3.98 (Not (And (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y))) (p5 X))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.80/3.98 (p5 Y))
% 3.80/3.98 (p6 Y))
% 3.80/3.98 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))))))
% 3.80/3.98 (Not
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))))) (p4 Y))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (p5 Y))
% 3.80/3.98 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Not (r1 X Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Not (r1 Y X))
% 3.80/3.98 (Not (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))))
% 3.80/3.98 (p4 X)))
% 3.80/3.98 (p5 Y))
% 3.80/3.98 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.80/3.98 (p4 Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (p5 X))
% 3.80/3.98 (Not (And (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))) (p4 X))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.80/3.98 (p4 Y))
% 3.80/3.98 (p5 Y))
% 3.80/3.98 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))))))
% 3.80/3.98 (Not
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))))) (p3 Y))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (p4 Y))
% 3.80/3.98 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Not (r1 X Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (Not (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y)))))
% 3.80/3.98 (p3 X)))
% 3.80/3.98 (p4 Y))
% 3.80/3.98 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.80/3.98 (p3 Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (p4 X))
% 3.80/3.98 (Not (And (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y))) (p3 X))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.80/3.98 (p3 Y))
% 3.80/3.98 (p4 Y))
% 3.80/3.98 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))))))
% 3.80/3.98 (Not
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))))) (p2 Y))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (p3 Y))
% 3.80/3.98 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Not (r1 X Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (Not (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))))
% 3.80/3.98 (p2 X)))
% 3.80/3.98 (p3 Y))
% 3.80/3.98 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.80/3.98 (p2 Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (p3 X))
% 3.80/3.98 (Not (And (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))) (p2 X))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.80/3.98 (p2 Y))
% 3.80/3.98 (p3 Y))
% 3.80/3.98 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))))))
% 3.80/3.98 (∀ (Y : Iota), Or (Or (Not (r1 X Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.80/3.98 (∀ (Y : Iota), Or (Or (Not (r1 X Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (Or
% 3.80/3.98 (Or
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Not (r1 X Y)) (p2 Y))
% 3.80/3.98 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y)))))
% 3.80/3.98 (Not
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or
% 3.80/3.98 (Or (Not (r1 X Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (Not (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y)))))
% 3.80/3.98 (p1 X)))
% 3.80/3.98 (p2 Y))
% 3.80/3.98 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or (Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.80/3.98 (∀ (X : Iota),
% 3.80/3.98 Or (Or (Not (r1 Y X)) (p2 X))
% 3.80/3.98 (Not (And (And (p1 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y))) (p1 X))))))
% 3.80/3.98 (∀ (Y : Iota),
% 3.80/3.98 Or
% 3.80/3.98 (Or (Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.80/4.02 (p2 Y))
% 3.80/4.02 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y)))))))))))
% 3.80/4.02 False
% 3.80/4.02 Clause #2 (by clausification #[1]): Eq
% 3.80/4.02 (Exists fun X =>
% 3.80/4.02 Not
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (Not
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X))))) (p5 Y))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (p6 Y))
% 3.80/4.02 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y)))))
% 3.80/4.02 (Not
% 3.80/4.02 (And
% 3.80/4.02 (And
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Not (r1 X Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (Not (And (p6 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y)))))
% 3.80/4.02 (p5 X)))
% 3.80/4.02 (p6 Y))
% 3.80/4.02 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.80/4.02 (p5 Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (p6 X))
% 3.80/4.02 (Not (And (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y))) (p5 X))))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Or (Not (r1 X Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.80/4.02 (p5 Y))
% 3.80/4.02 (p6 Y))
% 3.80/4.02 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))))))
% 3.80/4.02 (Not
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))))) (p4 Y))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (p5 Y))
% 3.80/4.02 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))
% 3.80/4.02 (Not
% 3.80/4.02 (And
% 3.80/4.02 (And
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Not (r1 X Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (Not (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))))
% 3.80/4.02 (p4 X)))
% 3.80/4.02 (p5 Y))
% 3.80/4.02 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.80/4.02 (p4 Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (p5 X))
% 3.80/4.02 (Not (And (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))) (p4 X))))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Or (Not (r1 X Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.80/4.02 (p4 Y))
% 3.80/4.02 (p5 Y))
% 3.80/4.02 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))))))
% 3.80/4.02 (Not
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))))) (p3 Y))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (p4 Y))
% 3.80/4.02 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))
% 3.80/4.02 (Not
% 3.80/4.02 (And
% 3.80/4.02 (And
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Not (r1 X Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (Not (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y)))))
% 3.80/4.02 (p3 X)))
% 3.80/4.02 (p4 Y))
% 3.80/4.02 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.80/4.02 (p3 Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (p4 X))
% 3.80/4.02 (Not (And (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y))) (p3 X))))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Or (Not (r1 X Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.80/4.02 (p3 Y))
% 3.80/4.02 (p4 Y))
% 3.80/4.02 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))))))
% 3.80/4.02 (Not
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))))) (p2 Y))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Not (r1 X Y)) (p3 Y))
% 3.80/4.02 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))
% 3.80/4.02 (Not
% 3.80/4.02 (And
% 3.80/4.02 (And
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Not (r1 X Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (Not (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))))
% 3.80/4.02 (p2 X)))
% 3.80/4.02 (p3 Y))
% 3.80/4.02 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or (Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))))) (p2 Y))
% 3.80/4.02 (∀ (X : Iota),
% 3.80/4.02 Or (Or (Not (r1 Y X)) (p3 X))
% 3.80/4.02 (Not (And (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))) (p2 X))))))
% 3.80/4.02 (∀ (Y : Iota),
% 3.80/4.02 Or
% 3.80/4.02 (Or
% 3.80/4.02 (Or (Or (Not (r1 X Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))))) (p2 Y))
% 3.80/4.02 (p3 Y))
% 3.80/4.02 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))))))
% 3.80/4.02 (∀ (Y : Iota), Or (Or (Not (r1 X Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.80/4.02 (∀ (Y : Iota), Or (Or (Not (r1 X Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.80/4.02 (Not
% 3.80/4.02 (Or
% 3.80/4.02 (Or
% 3.80/4.02 (∀ (Y : Iota), Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 X Y)) (p2 Y)) (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y)))))
% 3.90/4.07 (Not
% 3.90/4.07 (And
% 3.90/4.07 (And
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 X Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (Not (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))) (p1 X)))
% 3.90/4.07 (p2 Y))
% 3.90/4.07 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (p2 X))
% 3.90/4.07 (Not (And (And (p1 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y))) (p1 X))))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or (Or (Or (Not (r1 X Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.90/4.07 (p2 Y))
% 3.90/4.07 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))))))))
% 3.90/4.07 True
% 3.90/4.07 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.90/4.07 Eq
% 3.90/4.07 (Not
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Not
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.90/4.07 (p5 Y))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (p6 Y))
% 3.90/4.07 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y)))))
% 3.90/4.07 (Not
% 3.90/4.07 (And
% 3.90/4.07 (And
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (Not (And (p6 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y)))))
% 3.90/4.07 (p5 X)))
% 3.90/4.07 (p6 Y))
% 3.90/4.07 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.90/4.07 (p5 Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (p6 X))
% 3.90/4.07 (Not (And (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y))) (p5 X))))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.90/4.07 (p5 Y))
% 3.90/4.07 (p6 Y))
% 3.90/4.07 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))))))
% 3.90/4.07 (Not
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.90/4.07 (p4 Y))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y))
% 3.90/4.07 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))
% 3.90/4.07 (Not
% 3.90/4.07 (And
% 3.90/4.07 (And
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (Not (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))))
% 3.90/4.07 (p4 X)))
% 3.90/4.07 (p5 Y))
% 3.90/4.07 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.90/4.07 (p4 Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (p5 X))
% 3.90/4.07 (Not (And (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))) (p4 X))))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.90/4.07 (p4 Y))
% 3.90/4.07 (p5 Y))
% 3.90/4.07 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))))))
% 3.90/4.07 (Not
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.90/4.07 (p3 Y))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))
% 3.90/4.07 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))
% 3.90/4.07 (Not
% 3.90/4.07 (And
% 3.90/4.07 (And
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (Not (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y)))))
% 3.90/4.07 (p3 X)))
% 3.90/4.07 (p4 Y))
% 3.90/4.07 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.90/4.07 (p3 Y))
% 3.90/4.07 (∀ (X : Iota),
% 3.90/4.07 Or (Or (Not (r1 Y X)) (p4 X))
% 3.90/4.07 (Not (And (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y))) (p3 X))))))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (Or (Not (r1 (skS.0 0 a) Y))
% 3.90/4.07 (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.90/4.07 (p3 Y))
% 3.90/4.07 (p4 Y))
% 3.90/4.07 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))))))
% 3.90/4.07 (Not
% 3.90/4.07 (Or
% 3.90/4.07 (Or
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.90/4.07 (p2 Y))
% 3.90/4.07 (∀ (Y : Iota),
% 3.90/4.07 Or (Or (Not (r1 (skS.0 0 a) Y)) (p3 Y))
% 3.94/4.12 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (And
% 3.94/4.12 (And
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (Not (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))))
% 3.94/4.12 (p2 X)))
% 3.94/4.12 (p3 Y))
% 3.94/4.12 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.94/4.12 (p2 Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (p3 X))
% 3.94/4.12 (Not (And (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))) (p2 X))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.94/4.12 (p2 Y))
% 3.94/4.12 (p3 Y))
% 3.94/4.12 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))
% 3.94/4.12 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (And
% 3.94/4.12 (And
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (Not (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))) (p1 X)))
% 3.94/4.12 (p2 Y))
% 3.94/4.12 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X)))))
% 3.94/4.12 (p1 Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (p2 X))
% 3.94/4.12 (Not (And (And (p1 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y))) (p1 X))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X)))))
% 3.94/4.12 (p1 Y))
% 3.94/4.12 (p2 Y))
% 3.94/4.12 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))))))))
% 3.94/4.12 True
% 3.94/4.12 Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 3.94/4.12 Eq
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Not
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.94/4.12 (p5 Y))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p6 Y))
% 3.94/4.12 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (And
% 3.94/4.12 (And
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (Not (And (p6 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y)))))
% 3.94/4.12 (p5 X)))
% 3.94/4.12 (p6 Y))
% 3.94/4.12 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.94/4.12 (p5 Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (p6 X))
% 3.94/4.12 (Not (And (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y))) (p5 X))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.94/4.12 (p5 Y))
% 3.94/4.12 (p6 Y))
% 3.94/4.12 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))))))
% 3.94/4.12 (Not
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.94/4.12 (p4 Y))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y))
% 3.94/4.12 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (And
% 3.94/4.12 (And
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (Not (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))))
% 3.94/4.12 (p4 X)))
% 3.94/4.12 (p5 Y))
% 3.94/4.12 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.94/4.12 (p4 Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (p5 X))
% 3.94/4.12 (Not (And (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))) (p4 X))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.94/4.12 (p4 Y))
% 3.94/4.12 (p5 Y))
% 3.94/4.12 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))))))
% 3.94/4.12 (Not
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.94/4.12 (p3 Y))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))
% 3.94/4.12 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (And
% 3.94/4.12 (And
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (Not (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y)))))
% 3.94/4.12 (p3 X)))
% 3.94/4.12 (p4 Y))
% 3.94/4.12 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.94/4.12 (p3 Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (p4 X))
% 3.94/4.12 (Not (And (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y))) (p3 X))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.94/4.12 (p3 Y))
% 3.94/4.12 (p4 Y))
% 3.94/4.12 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))))))
% 3.94/4.12 (Not
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))))) (p2 Y))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p3 Y))
% 3.94/4.12 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (And
% 3.94/4.12 (And
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Not (r1 (skS.0 0 a) Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (Not (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))))
% 3.94/4.12 (p2 X)))
% 3.94/4.12 (p3 Y))
% 3.94/4.12 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.94/4.12 (p2 Y))
% 3.94/4.12 (∀ (X : Iota),
% 3.94/4.12 Or (Or (Not (r1 Y X)) (p3 X))
% 3.94/4.12 (Not (And (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))) (p2 X))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or
% 3.94/4.12 (Or
% 3.94/4.12 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.94/4.12 (p2 Y))
% 3.94/4.12 (p3 Y))
% 3.94/4.12 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (Or
% 3.94/4.12 (Or
% 3.94/4.12 (∀ (Y : Iota),
% 3.94/4.12 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))))) (p1 Y))
% 3.94/4.12 (∀ (Y : Iota),
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% 3.94/4.12 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y)))))
% 3.94/4.12 (Not
% 3.94/4.12 (And
% 3.97/4.15 (And
% 3.97/4.15 (∀ (Y : Iota),
% 3.97/4.15 Or
% 3.97/4.15 (Or
% 3.97/4.15 (Or (Not (r1 (skS.0 0 a) Y))
% 3.97/4.15 (∀ (X : Iota),
% 3.97/4.15 Or (Or (Not (r1 Y X)) (Not (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))) (p1 X)))
% 3.97/4.15 (p2 Y))
% 3.97/4.15 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y))))
% 3.97/4.15 (∀ (Y : Iota),
% 3.97/4.15 Or
% 3.97/4.15 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X)))))
% 3.97/4.15 (p1 Y))
% 3.97/4.15 (∀ (X : Iota),
% 3.97/4.15 Or (Or (Not (r1 Y X)) (p2 X))
% 3.97/4.15 (Not (And (And (p1 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y))) (p1 X))))))
% 3.97/4.15 (∀ (Y : Iota),
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% 3.97/4.15 (Or
% 3.97/4.15 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X)))))
% 3.97/4.15 (p1 Y))
% 3.97/4.15 (p2 Y))
% 3.97/4.15 (Not (And (And (p1 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p1 X))) (p1 Y)))))))))
% 3.97/4.15 False
% 3.97/4.15 Clause #6 (by clausification #[4]): ∀ (a : Iota),
% 3.97/4.15 Eq
% 3.97/4.15 (Or
% 3.97/4.15 (Or
% 3.97/4.15 (Or
% 3.97/4.15 (Or
% 3.97/4.15 (Or
% 3.97/4.15 (Not
% 3.97/4.15 (Or
% 3.97/4.15 (Or
% 3.97/4.15 (∀ (Y : Iota),
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% 3.97/4.15 (p5 Y))
% 3.97/4.15 (∀ (Y : Iota),
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% 3.97/4.15 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y)))))
% 3.97/4.15 (Not
% 3.97/4.15 (And
% 3.97/4.15 (And
% 3.97/4.15 (∀ (Y : Iota),
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% 3.97/4.15 (Or
% 3.97/4.15 (Or (Not (r1 (skS.0 0 a) Y))
% 3.97/4.15 (∀ (X : Iota),
% 3.97/4.15 Or (Or (Not (r1 Y X)) (Not (And (p6 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y)))))
% 3.97/4.16 (p5 X)))
% 3.97/4.16 (p6 Y))
% 3.97/4.16 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))
% 3.97/4.16 (∀ (Y : Iota),
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% 3.97/4.16 (Or
% 3.97/4.16 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.97/4.16 (p5 Y))
% 3.97/4.16 (∀ (X : Iota),
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% 3.97/4.16 (∀ (Y : Iota),
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% 3.97/4.16 (Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p6 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p6 X)))))
% 3.97/4.16 (p5 Y))
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% 3.97/4.16 (Not (And (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X))) (p5 Y))))))))
% 3.97/4.16 (Not
% 3.97/4.16 (Or
% 3.97/4.16 (Or
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.97/4.16 (p4 Y))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y))
% 3.97/4.16 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))
% 3.97/4.16 (Not
% 3.97/4.16 (And
% 3.97/4.16 (And
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or (Not (r1 (skS.0 0 a) Y))
% 3.97/4.16 (∀ (X : Iota),
% 3.97/4.16 Or (Or (Not (r1 Y X)) (Not (And (p5 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))))
% 3.97/4.16 (p4 X)))
% 3.97/4.16 (p5 Y))
% 3.97/4.16 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y))))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.97/4.16 (p4 Y))
% 3.97/4.16 (∀ (X : Iota),
% 3.97/4.16 Or (Or (Not (r1 Y X)) (p5 X))
% 3.97/4.16 (Not (And (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))) (p4 X))))))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p5 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)))))
% 3.97/4.16 (p4 Y))
% 3.97/4.16 (p5 Y))
% 3.97/4.16 (Not (And (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))) (p4 Y)))))))))
% 3.97/4.16 (Not
% 3.97/4.16 (Or
% 3.97/4.16 (Or
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X))))) (p3 Y))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or (Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))
% 3.97/4.16 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))
% 3.97/4.16 (Not
% 3.97/4.16 (And
% 3.97/4.16 (And
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or (Not (r1 (skS.0 0 a) Y))
% 3.97/4.16 (∀ (X : Iota),
% 3.97/4.16 Or (Or (Not (r1 Y X)) (Not (And (p4 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y)))))
% 3.97/4.16 (p3 X)))
% 3.97/4.16 (p4 Y))
% 3.97/4.16 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y))))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.97/4.16 (p3 Y))
% 3.97/4.16 (∀ (X : Iota),
% 3.97/4.16 Or (Or (Not (r1 Y X)) (p4 X))
% 3.97/4.16 (Not (And (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y))) (p3 X))))))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p4 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p4 X)))))
% 3.97/4.16 (p3 Y))
% 3.97/4.16 (p4 Y))
% 3.97/4.16 (Not (And (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))) (p3 Y)))))))))
% 3.97/4.16 (Not
% 3.97/4.16 (Or
% 3.97/4.16 (Or
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X))))) (p2 Y))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or (Or (Not (r1 (skS.0 0 a) Y)) (p3 Y))
% 3.97/4.16 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))
% 3.97/4.16 (Not
% 3.97/4.16 (And
% 3.97/4.16 (And
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or
% 3.97/4.16 (Or (Not (r1 (skS.0 0 a) Y))
% 3.97/4.16 (∀ (X : Iota),
% 3.97/4.16 Or (Or (Not (r1 Y X)) (Not (And (p3 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))))
% 3.97/4.16 (p2 X)))
% 3.97/4.16 (p3 Y))
% 3.97/4.16 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y))))
% 3.97/4.16 (∀ (Y : Iota),
% 3.97/4.16 Or
% 3.97/4.16 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.97/4.16 (p2 Y))
% 3.97/4.16 (∀ (X : Iota),
% 3.97/4.16 Or (Or (Not (r1 Y X)) (p3 X))
% 3.97/4.17 (Not (And (And (p2 X) (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))) (p2 X))))))
% 3.97/4.17 (∀ (Y : Iota),
% 3.97/4.17 Or
% 3.97/4.17 (Or
% 3.97/4.17 (Or (Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p3 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p3 X)))))
% 3.97/4.17 (p2 Y))
% 3.97/4.17 (p3 Y))
% 3.97/4.17 (Not (And (And (p2 Y) (∀ (X : Iota), Or (Not (r1 Y X)) (p2 X))) (p2 Y)))))))))
% 3.97/4.17 (∀ (Y : Iota),
% 3.97/4.17 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.97/4.17 (∀ (Y : Iota),
% 3.97/4.17 Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y)))))
% 3.97/4.17 False
% 3.97/4.17 Clause #77 (by clausification #[6]): ∀ (a : Iota),
% 3.97/4.17 Eq (∀ (Y : Iota), Or (Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)) (Not (And (∀ (X : Iota), Or (Not (r1 Y X)) (p5 X)) (p5 Y))))
% 3.97/4.17 False
% 3.97/4.17 Clause #79 (by clausification #[77]): ∀ (a a_1 : Iota),
% 3.97/4.17 Eq
% 3.97/4.17 (Not
% 3.97/4.17 (Or (Or (Not (r1 (skS.0 0 a) (skS.0 7 a a_1))) (p5 (skS.0 7 a a_1)))
% 3.97/4.17 (Not (And (∀ (X : Iota), Or (Not (r1 (skS.0 7 a a_1) X)) (p5 X)) (p5 (skS.0 7 a a_1))))))
% 3.97/4.17 True
% 3.97/4.17 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota),
% 3.97/4.17 Eq
% 3.97/4.17 (Or (Or (Not (r1 (skS.0 0 a) (skS.0 7 a a_1))) (p5 (skS.0 7 a a_1)))
% 3.97/4.17 (Not (And (∀ (X : Iota), Or (Not (r1 (skS.0 7 a a_1) X)) (p5 X)) (p5 (skS.0 7 a a_1)))))
% 3.97/4.17 False
% 3.97/4.17 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (Not (And (∀ (X : Iota), Or (Not (r1 (skS.0 7 a a_1) X)) (p5 X)) (p5 (skS.0 7 a a_1)))) False
% 3.97/4.17 Clause #82 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 0 a) (skS.0 7 a a_1))) (p5 (skS.0 7 a a_1))) False
% 3.97/4.17 Clause #83 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (And (∀ (X : Iota), Or (Not (r1 (skS.0 7 a a_1) X)) (p5 X)) (p5 (skS.0 7 a a_1))) True
% 3.97/4.17 Clause #84 (by clausification #[83]): ∀ (a a_1 : Iota), Eq (p5 (skS.0 7 a a_1)) True
% 3.97/4.17 Clause #89 (by clausification #[82]): ∀ (a a_1 : Iota), Eq (p5 (skS.0 7 a a_1)) False
% 3.97/4.17 Clause #91 (by superposition #[89, 84]): Eq False True
% 3.97/4.17 Clause #92 (by clausification #[91]): False
% 3.97/4.17 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------