TSTP Solution File: SYN349+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 : Fri Sep 1 02:11:20 EDT 2023
% Result : Theorem 4.17s 4.42s
% Output : Proof 4.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : duper %s
% 0.16/0.34 % Computer : n031.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 19:14:53 EDT 2023
% 0.16/0.34 % CPUTime :
% 4.17/4.42 SZS status Theorem for theBenchmark.p
% 4.17/4.42 SZS output start Proof for theBenchmark.p
% 4.17/4.42 Clause #0 (by assumption #[]): Eq
% 4.17/4.42 (Not
% 4.17/4.42 (Exists fun X1 =>
% 4.17/4.42 ∀ (X2 : Iota),
% 4.17/4.42 Exists fun X3 =>
% 4.17/4.42 ∀ (X4 : Iota),
% 4.17/4.42 Iff (big_f X1 X4) (big_f X2 X4) → Iff (Iff (Iff (big_f X1 X4) (big_f X4 X3)) (big_f X3 X4)) (big_f X4 X2)))
% 4.17/4.42 True
% 4.17/4.42 Clause #1 (by clausification #[0]): Eq
% 4.17/4.42 (Exists fun X1 =>
% 4.17/4.42 ∀ (X2 : Iota),
% 4.17/4.42 Exists fun X3 =>
% 4.17/4.42 ∀ (X4 : Iota),
% 4.17/4.42 Iff (big_f X1 X4) (big_f X2 X4) → Iff (Iff (Iff (big_f X1 X4) (big_f X4 X3)) (big_f X3 X4)) (big_f X4 X2))
% 4.17/4.42 False
% 4.17/4.42 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 4.17/4.42 Eq
% 4.17/4.42 (∀ (X2 : Iota),
% 4.17/4.42 Exists fun X3 =>
% 4.17/4.42 ∀ (X4 : Iota),
% 4.17/4.42 Iff (big_f a X4) (big_f X2 X4) → Iff (Iff (Iff (big_f a X4) (big_f X4 X3)) (big_f X3 X4)) (big_f X4 X2))
% 4.17/4.42 False
% 4.17/4.42 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota),
% 4.17/4.42 Eq
% 4.17/4.42 (Not
% 4.17/4.42 (Exists fun X3 =>
% 4.17/4.42 ∀ (X4 : Iota),
% 4.17/4.42 Iff (big_f a X4) (big_f (skS.0 0 a a_1) X4) →
% 4.17/4.42 Iff (Iff (Iff (big_f a X4) (big_f X4 X3)) (big_f X3 X4)) (big_f X4 (skS.0 0 a a_1))))
% 4.17/4.42 True
% 4.17/4.42 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 4.17/4.42 Eq
% 4.17/4.42 (Exists fun X3 =>
% 4.17/4.42 ∀ (X4 : Iota),
% 4.17/4.42 Iff (big_f a X4) (big_f (skS.0 0 a a_1) X4) →
% 4.17/4.42 Iff (Iff (Iff (big_f a X4) (big_f X4 X3)) (big_f X3 X4)) (big_f X4 (skS.0 0 a a_1)))
% 4.17/4.42 False
% 4.17/4.42 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.42 Eq
% 4.17/4.42 (∀ (X4 : Iota),
% 4.17/4.42 Iff (big_f a X4) (big_f (skS.0 0 a a_1) X4) →
% 4.17/4.42 Iff (Iff (Iff (big_f a X4) (big_f X4 a_2)) (big_f a_2 X4)) (big_f X4 (skS.0 0 a a_1)))
% 4.17/4.42 False
% 4.17/4.42 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Eq
% 4.17/4.42 (Not
% 4.17/4.42 (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2 a_3)) →
% 4.17/4.42 Iff
% 4.17/4.42 (Iff (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2))
% 4.17/4.42 (big_f a_2 (skS.0 1 a a_1 a_2 a_3)))
% 4.17/4.42 (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1))))
% 4.17/4.42 True
% 4.17/4.42 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Eq
% 4.17/4.42 (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2 a_3)) →
% 4.17/4.42 Iff
% 4.17/4.42 (Iff (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2))
% 4.17/4.42 (big_f a_2 (skS.0 1 a a_1 a_2 a_3)))
% 4.17/4.42 (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)))
% 4.17/4.42 False
% 4.17/4.42 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Eq (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2 a_3))) True
% 4.17/4.42 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Eq
% 4.17/4.42 (Iff
% 4.17/4.42 (Iff (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2))
% 4.17/4.42 (big_f a_2 (skS.0 1 a a_1 a_2 a_3)))
% 4.17/4.42 (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)))
% 4.17/4.42 False
% 4.17/4.42 Clause #10 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3)) True) (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2 a_3)) False)
% 4.17/4.42 Clause #11 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3)) False) (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 a_2 a_3)) True)
% 4.17/4.42 Clause #12 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Or
% 4.17/4.42 (Eq
% 4.17/4.42 (Iff (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2))
% 4.17/4.42 (big_f a_2 (skS.0 1 a a_1 a_2 a_3)))
% 4.17/4.42 False)
% 4.17/4.42 (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) False)
% 4.17/4.42 Clause #13 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Or
% 4.17/4.42 (Eq
% 4.17/4.42 (Iff (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2))
% 4.17/4.42 (big_f a_2 (skS.0 1 a a_1 a_2 a_3)))
% 4.17/4.42 True)
% 4.17/4.42 (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) True)
% 4.17/4.42 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.42 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) False)
% 4.17/4.42 (Or (Eq (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2)) False)
% 4.17/4.42 (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) False))
% 4.17/4.42 Clause #15 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) False)
% 4.17/4.45 (Or (Eq (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2)) True)
% 4.17/4.45 (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) True))
% 4.17/4.45 Clause #16 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) False)
% 4.17/4.45 (Or (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) False)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3)) False) (Eq (big_f (skS.0 1 a a_1 a_2 a_3) a_2) False)))
% 4.17/4.45 Clause #18 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) False)
% 4.17/4.45 (Or (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3)) True) (Eq (big_f (skS.0 1 a a_1 a_2 a_3) a_2) False)))
% 4.17/4.45 Clause #20 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) True)
% 4.17/4.45 (Or (Eq (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2)) True)
% 4.17/4.45 (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) False))
% 4.17/4.45 Clause #21 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) True)
% 4.17/4.45 (Or (Eq (Iff (big_f a (skS.0 1 a a_1 a_2 a_3)) (big_f (skS.0 1 a a_1 a_2 a_3) a_2)) False)
% 4.17/4.45 (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) True))
% 4.17/4.45 Clause #23 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) True)
% 4.17/4.45 (Or (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) False)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3)) False) (Eq (big_f (skS.0 1 a a_1 a_2 a_3) a_2) True)))
% 4.17/4.45 Clause #25 (by clausification #[21]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 1 a a_1 a_2 a_3) (skS.0 0 a a_1)) True)
% 4.17/4.45 (Or (Eq (big_f a_2 (skS.0 1 a a_1 a_2 a_3)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 a_2 a_3)) True) (Eq (big_f (skS.0 1 a a_1 a_2 a_3) a_2) True)))
% 4.17/4.45 Clause #29 (by equality factoring #[25]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Ne True True) (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True)))
% 4.17/4.45 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True) (Or (Eq True False) (Eq True False))))
% 4.17/4.45 Clause #33 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True) (Eq True False)))
% 4.17/4.45 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True))
% 4.17/4.45 Clause #36 (by superposition #[34, 18]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq True False)
% 4.17/4.45 (Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True) (Eq True False)))))
% 4.17/4.45 Clause #41 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True) (Eq True False))))
% 4.17/4.45 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.45 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.45 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.47 (Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.47 (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)))
% 4.17/4.47 Clause #43 (by eliminate duplicate literals #[42]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.47 (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.47 Clause #44 (by superposition #[43, 10]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.47 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True) (Eq True False))
% 4.17/4.47 Clause #49 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True) (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.47 Clause #50 (by eliminate duplicate literals #[49]): ∀ (a a_1 a_2 : Iota), Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True
% 4.17/4.47 Clause #52 (by superposition #[50, 11]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True)
% 4.17/4.47 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) True
% 4.17/4.47 Clause #57 (by superposition #[54, 23]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True)
% 4.17/4.47 (Or (Eq True False)
% 4.17/4.47 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False)
% 4.17/4.47 (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True)))
% 4.17/4.47 Clause #60 (by clausification #[57]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True)
% 4.17/4.47 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False)
% 4.17/4.47 (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True))
% 4.17/4.47 Clause #61 (by eliminate duplicate literals #[60]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True)
% 4.17/4.47 (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False)
% 4.17/4.47 Clause #62 (by forward demodulation #[61, 50]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True) (Eq True False)
% 4.17/4.47 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 : Iota), Eq (big_f (skS.0 1 a a_1 (skS.0 0 a a_1) a_2) (skS.0 0 a a_1)) True
% 4.17/4.47 Clause #64 (by superposition #[63, 16]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq True False)
% 4.17/4.47 (Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False)
% 4.17/4.47 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False) (Eq True False)))
% 4.17/4.47 Clause #67 (by clausification #[64]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False)
% 4.17/4.47 (Or (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False) (Eq True False))
% 4.17/4.47 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota),
% 4.17/4.47 Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False)
% 4.17/4.47 (Eq (big_f a (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False)
% 4.17/4.47 Clause #69 (by forward demodulation #[68, 50]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False) (Eq True False)
% 4.17/4.47 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), Eq (big_f (skS.0 0 a a_1) (skS.0 1 a a_1 (skS.0 0 a a_1) a_2)) False
% 4.17/4.47 Clause #71 (by superposition #[70, 54]): Eq False True
% 4.17/4.47 Clause #72 (by clausification #[71]): False
% 4.17/4.47 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------