TSTP Solution File: SYN942+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN942+1 : TPTP v8.1.2. Released v3.1.0.
% 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 02:13:22 EDT 2023
% Result : Theorem 3.36s 3.59s
% Output : Proof 3.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN942+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n031.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 20:15:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.36/3.59 SZS status Theorem for theBenchmark.p
% 3.36/3.59 SZS output start Proof for theBenchmark.p
% 3.36/3.59 Clause #0 (by assumption #[]): Eq (Not (And (∀ (X : Iota), a X → Or (b X) (c X)) (Not (∀ (X : Iota), a X → b X)) → Exists fun X => And (a X) (c X)))
% 3.36/3.59 True
% 3.36/3.59 Clause #1 (by clausification #[0]): Eq (And (∀ (X : Iota), a X → Or (b X) (c X)) (Not (∀ (X : Iota), a X → b X)) → Exists fun X => And (a X) (c X)) False
% 3.36/3.59 Clause #2 (by clausification #[1]): Eq (And (∀ (X : Iota), a X → Or (b X) (c X)) (Not (∀ (X : Iota), a X → b X))) True
% 3.36/3.59 Clause #3 (by clausification #[1]): Eq (Exists fun X => And (a X) (c X)) False
% 3.36/3.59 Clause #4 (by clausification #[2]): Eq (Not (∀ (X : Iota), a X → b X)) True
% 3.36/3.59 Clause #5 (by clausification #[2]): Eq (∀ (X : Iota), a X → Or (b X) (c X)) True
% 3.36/3.59 Clause #6 (by clausification #[4]): Eq (∀ (X : Iota), a X → b X) False
% 3.36/3.59 Clause #7 (by clausification #[6]): ∀ (a_1 : Iota), Eq (Not (a (skS.0 0 a_1) → b (skS.0 0 a_1))) True
% 3.36/3.59 Clause #8 (by clausification #[7]): ∀ (a_1 : Iota), Eq (a (skS.0 0 a_1) → b (skS.0 0 a_1)) False
% 3.36/3.59 Clause #9 (by clausification #[8]): ∀ (a_1 : Iota), Eq (a (skS.0 0 a_1)) True
% 3.36/3.59 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (b (skS.0 0 a)) False
% 3.36/3.59 Clause #11 (by clausification #[5]): ∀ (a_1 : Iota), Eq (a a_1 → Or (b a_1) (c a_1)) True
% 3.36/3.59 Clause #12 (by clausification #[11]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq (Or (b a_1) (c a_1)) True)
% 3.36/3.59 Clause #13 (by clausification #[12]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Or (Eq (b a_1) True) (Eq (c a_1) True))
% 3.36/3.59 Clause #14 (by superposition #[13, 9]): ∀ (a : Iota), Or (Eq (b (skS.0 0 a)) True) (Or (Eq (c (skS.0 0 a)) True) (Eq False True))
% 3.36/3.59 Clause #15 (by clausification #[3]): ∀ (a_1 : Iota), Eq (And (a a_1) (c a_1)) False
% 3.36/3.59 Clause #16 (by clausification #[15]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq (c a_1) False)
% 3.36/3.59 Clause #17 (by superposition #[16, 9]): ∀ (a : Iota), Or (Eq (c (skS.0 0 a)) False) (Eq False True)
% 3.36/3.59 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (c (skS.0 0 a)) False
% 3.36/3.59 Clause #19 (by clausification #[14]): ∀ (a : Iota), Or (Eq (b (skS.0 0 a)) True) (Eq (c (skS.0 0 a)) True)
% 3.36/3.59 Clause #20 (by forward demodulation #[19, 10]): ∀ (a : Iota), Or (Eq False True) (Eq (c (skS.0 0 a)) True)
% 3.36/3.59 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (c (skS.0 0 a)) True
% 3.36/3.59 Clause #22 (by superposition #[21, 18]): Eq True False
% 3.36/3.59 Clause #23 (by clausification #[22]): False
% 3.36/3.59 SZS output end Proof for theBenchmark.p
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