TSTP Solution File: SYN062+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:10:24 EDT 2023
% Result : Theorem 3.48s 3.80s
% Output : Proof 3.48s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:36:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.48/3.80 SZS status Theorem for theBenchmark.p
% 3.48/3.80 SZS output start Proof for theBenchmark.p
% 3.48/3.80 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (big_f X) (Or (big_g X) (big_h X)) → big_i X) True
% 3.48/3.80 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), And (big_i X) (big_h X) → big_j X) True
% 3.48/3.80 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), big_k X → big_h X) True
% 3.48/3.80 Clause #3 (by assumption #[]): Eq (Not (∀ (X : Iota), And (big_f X) (big_k X) → big_j X)) True
% 3.48/3.80 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (big_k a → big_h a) True
% 3.48/3.80 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (big_k a) False) (Eq (big_h a) True)
% 3.48/3.80 Clause #6 (by clausification #[1]): ∀ (a : Iota), Eq (And (big_i a) (big_h a) → big_j a) True
% 3.48/3.80 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (And (big_i a) (big_h a)) False) (Eq (big_j a) True)
% 3.48/3.80 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (big_j a) True) (Or (Eq (big_i a) False) (Eq (big_h a) False))
% 3.48/3.80 Clause #9 (by clausification #[0]): ∀ (a : Iota), Eq (And (big_f a) (Or (big_g a) (big_h a)) → big_i a) True
% 3.48/3.80 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (And (big_f a) (Or (big_g a) (big_h a))) False) (Eq (big_i a) True)
% 3.48/3.80 Clause #11 (by clausification #[10]): ∀ (a : Iota), Or (Eq (big_i a) True) (Or (Eq (big_f a) False) (Eq (Or (big_g a) (big_h a)) False))
% 3.48/3.80 Clause #12 (by clausification #[11]): ∀ (a : Iota), Or (Eq (big_i a) True) (Or (Eq (big_f a) False) (Eq (big_h a) False))
% 3.48/3.80 Clause #14 (by clausification #[3]): Eq (∀ (X : Iota), And (big_f X) (big_k X) → big_j X) False
% 3.48/3.80 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (And (big_f (skS.0 0 a)) (big_k (skS.0 0 a)) → big_j (skS.0 0 a))) True
% 3.48/3.80 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (And (big_f (skS.0 0 a)) (big_k (skS.0 0 a)) → big_j (skS.0 0 a)) False
% 3.48/3.80 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (And (big_f (skS.0 0 a)) (big_k (skS.0 0 a))) True
% 3.48/3.80 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (big_j (skS.0 0 a)) False
% 3.48/3.80 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (big_k (skS.0 0 a)) True
% 3.48/3.80 Clause #20 (by clausification #[17]): ∀ (a : Iota), Eq (big_f (skS.0 0 a)) True
% 3.48/3.80 Clause #21 (by superposition #[19, 5]): ∀ (a : Iota), Or (Eq True False) (Eq (big_h (skS.0 0 a)) True)
% 3.48/3.80 Clause #22 (by superposition #[20, 12]): ∀ (a : Iota), Or (Eq (big_i (skS.0 0 a)) True) (Or (Eq True False) (Eq (big_h (skS.0 0 a)) False))
% 3.48/3.80 Clause #24 (by clausification #[21]): ∀ (a : Iota), Eq (big_h (skS.0 0 a)) True
% 3.48/3.80 Clause #26 (by clausification #[22]): ∀ (a : Iota), Or (Eq (big_i (skS.0 0 a)) True) (Eq (big_h (skS.0 0 a)) False)
% 3.48/3.80 Clause #27 (by forward demodulation #[26, 24]): ∀ (a : Iota), Or (Eq (big_i (skS.0 0 a)) True) (Eq True False)
% 3.48/3.80 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (big_i (skS.0 0 a)) True
% 3.48/3.80 Clause #29 (by superposition #[28, 8]): ∀ (a : Iota), Or (Eq (big_j (skS.0 0 a)) True) (Or (Eq True False) (Eq (big_h (skS.0 0 a)) False))
% 3.48/3.80 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (big_j (skS.0 0 a)) True) (Eq (big_h (skS.0 0 a)) False)
% 3.48/3.80 Clause #31 (by forward demodulation #[30, 24]): ∀ (a : Iota), Or (Eq (big_j (skS.0 0 a)) True) (Eq True False)
% 3.48/3.80 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (big_j (skS.0 0 a)) True
% 3.48/3.80 Clause #33 (by superposition #[32, 18]): Eq True False
% 3.48/3.80 Clause #34 (by clausification #[33]): False
% 3.48/3.80 SZS output end Proof for theBenchmark.p
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