TSTP Solution File: SYN722+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 02:12:44 EDT 2023
% Result : Theorem 3.32s 3.60s
% Output : Proof 3.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n015.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 : Sat Aug 26 17:47:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.32/3.60 SZS status Theorem for theBenchmark.p
% 3.32/3.60 SZS output start Proof for theBenchmark.p
% 3.32/3.60 Clause #0 (by assumption #[]): Eq
% 3.32/3.60 (Not
% 3.32/3.60 (Not
% 3.32/3.60 (And
% 3.32/3.60 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z))
% 3.32/3.60 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d))))
% 3.32/3.60 (Or (Not (p a)) (Not (p b))))))
% 3.32/3.60 True
% 3.32/3.60 Clause #1 (by clausification #[0]): Eq
% 3.32/3.60 (Not
% 3.32/3.60 (And
% 3.32/3.60 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z))
% 3.32/3.60 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d))))
% 3.32/3.60 (Or (Not (p a)) (Not (p b)))))
% 3.32/3.60 False
% 3.32/3.60 Clause #2 (by clausification #[1]): Eq
% 3.32/3.60 (And
% 3.32/3.60 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z))
% 3.32/3.60 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d))))
% 3.32/3.60 (Or (Not (p a)) (Not (p b))))
% 3.32/3.60 True
% 3.32/3.60 Clause #3 (by clausification #[2]): Eq (Or (Not (p a)) (Not (p b))) True
% 3.32/3.60 Clause #4 (by clausification #[2]): Eq
% 3.32/3.60 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z))
% 3.32/3.60 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d))))
% 3.32/3.60 True
% 3.32/3.60 Clause #5 (by clausification #[3]): Or (Eq (Not (p a)) True) (Eq (Not (p b)) True)
% 3.32/3.60 Clause #6 (by clausification #[5]): Or (Eq (Not (p b)) True) (Eq (p a) False)
% 3.32/3.60 Clause #7 (by clausification #[6]): Or (Eq (p a) False) (Eq (p b) False)
% 3.32/3.60 Clause #8 (by clausification #[4]): Eq (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d))) True
% 3.32/3.60 Clause #9 (by clausification #[4]): Eq (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z)) True
% 3.32/3.60 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (Exists fun Y => Or (Or (Or (Or (p a) (Not (q a))) (Not (q Y))) (Not (q c))) (Not (q d))) True
% 3.32/3.60 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Or (Or (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) (Not (q c))) (Not (q d))) True
% 3.32/3.60 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (Or (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) (Not (q c))) True) (Eq (Not (q d)) True)
% 3.32/3.60 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (Not (q d)) True) (Or (Eq (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) True) (Eq (Not (q c)) True))
% 3.32/3.60 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) True) (Or (Eq (Not (q c)) True) (Eq (q d) False))
% 3.32/3.60 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (Not (q c)) True)
% 3.32/3.60 (Or (Eq (q d) False) (Or (Eq (Or (p a) (Not (q a))) True) (Eq (Not (q (skS.0 0 a a_1))) True)))
% 3.32/3.60 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (q d) False) (Or (Eq (Or (p a) (Not (q a))) True) (Or (Eq (Not (q (skS.0 0 a a_1))) True) (Eq (q c) False)))
% 3.32/3.60 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (q d) False)
% 3.32/3.60 (Or (Eq (Not (q (skS.0 0 a a_1))) True) (Or (Eq (q c) False) (Or (Eq (p a) True) (Eq (Not (q a)) True))))
% 3.32/3.60 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (q d) False)
% 3.32/3.60 (Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (Not (q a)) True) (Eq (q (skS.0 0 a a_1)) False))))
% 3.32/3.60 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq (q d) False) (Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False))))
% 3.32/3.60 Clause #20 (by clausification #[9]): ∀ (a : Iota), Eq (And (Or (p a) (r a)) (q a)) True
% 3.32/3.60 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (q a) True
% 3.32/3.60 Clause #23 (by backward demodulation #[21, 19]): ∀ (a a_1 : Iota),
% 3.32/3.60 Or (Eq True False) (Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False))))
% 3.32/3.60 Clause #28 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False)))
% 3.32/3.60 Clause #29 (by forward demodulation #[28, 21]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False)))
% 3.32/3.60 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False))
% 3.32/3.61 Clause #31 (by forward demodulation #[30, 21]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq True False))
% 3.32/3.61 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Eq (q (skS.0 0 a a_1)) False)
% 3.32/3.61 Clause #33 (by superposition #[32, 21]): ∀ (a : Iota), Or (Eq (p a) True) (Eq False True)
% 3.32/3.61 Clause #34 (by clausification #[33]): ∀ (a : Iota), Eq (p a) True
% 3.32/3.61 Clause #35 (by backward demodulation #[34, 7]): Or (Eq (p a) False) (Eq True False)
% 3.32/3.61 Clause #40 (by clausification #[35]): Eq (p a) False
% 3.32/3.61 Clause #41 (by superposition #[40, 34]): Eq False True
% 3.32/3.61 Clause #42 (by clausification #[41]): False
% 3.32/3.61 SZS output end Proof for theBenchmark.p
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