TSTP Solution File: SYN356^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN356^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 02:11:23 EDT 2023
% Result : Theorem 3.55s 3.74s
% Output : Proof 3.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN356^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n024.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 21:31:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.55/3.74 SZS status Theorem for theBenchmark.p
% 3.55/3.74 SZS output start Proof for theBenchmark.p
% 3.55/3.74 Clause #0 (by assumption #[]): Eq
% 3.55/3.74 (Not
% 3.55/3.74 (And (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) (∀ (U V : Iota), cQ U V → cQ U U) →
% 3.55/3.74 And (cQ cA cA) (cQ cB cB)))
% 3.55/3.74 True
% 3.55/3.74 Clause #1 (by clausification #[0]): Eq
% 3.55/3.74 (And (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) (∀ (U V : Iota), cQ U V → cQ U U) →
% 3.55/3.74 And (cQ cA cA) (cQ cB cB))
% 3.55/3.74 False
% 3.55/3.74 Clause #2 (by clausification #[1]): Eq (And (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) (∀ (U V : Iota), cQ U V → cQ U U)) True
% 3.55/3.74 Clause #3 (by clausification #[1]): Eq (And (cQ cA cA) (cQ cB cB)) False
% 3.55/3.74 Clause #4 (by clausification #[2]): Eq (∀ (U V : Iota), cQ U V → cQ U U) True
% 3.55/3.74 Clause #5 (by clausification #[2]): Eq (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) True
% 3.55/3.74 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (V : Iota), cQ a V → cQ a a) True
% 3.55/3.74 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (cQ a a_1 → cQ a a) True
% 3.55/3.74 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) False) (Eq (cQ a a) True)
% 3.55/3.74 Clause #9 (by clausification #[3]): Or (Eq (cQ cA cA) False) (Eq (cQ cB cB) False)
% 3.55/3.74 Clause #10 (by clausification #[5]): Eq (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y)) True
% 3.55/3.74 Clause #11 (by clausification #[5]): Eq (cR cA cB) True
% 3.55/3.74 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y : Iota), cR a Y → And (cR Y a) (cQ a Y)) True
% 3.55/3.74 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (cR a a_1 → And (cR a_1 a) (cQ a a_1)) True
% 3.55/3.74 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (cR a a_1) False) (Eq (And (cR a_1 a) (cQ a a_1)) True)
% 3.55/3.74 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (cR a a_1) False) (Eq (cQ a a_1) True)
% 3.55/3.74 Clause #16 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (cR a a_1) False) (Eq (cR a_1 a) True)
% 3.55/3.74 Clause #17 (by superposition #[11, 15]): Or (Eq (cQ cA cB) True) (Eq False True)
% 3.55/3.74 Clause #18 (by clausification #[17]): Eq (cQ cA cB) True
% 3.55/3.74 Clause #19 (by superposition #[18, 8]): Or (Eq True False) (Eq (cQ cA cA) True)
% 3.55/3.74 Clause #20 (by superposition #[16, 11]): Or (Eq (cR cB cA) True) (Eq False True)
% 3.55/3.74 Clause #21 (by clausification #[20]): Eq (cR cB cA) True
% 3.55/3.74 Clause #22 (by superposition #[21, 15]): Or (Eq True False) (Eq (cQ cB cA) True)
% 3.55/3.74 Clause #24 (by clausification #[22]): Eq (cQ cB cA) True
% 3.55/3.74 Clause #25 (by superposition #[24, 8]): Or (Eq True False) (Eq (cQ cB cB) True)
% 3.55/3.74 Clause #26 (by clausification #[25]): Eq (cQ cB cB) True
% 3.55/3.74 Clause #27 (by clausification #[19]): Eq (cQ cA cA) True
% 3.55/3.74 Clause #28 (by backward demodulation #[27, 9]): Or (Eq True False) (Eq (cQ cB cB) False)
% 3.55/3.74 Clause #29 (by clausification #[28]): Eq (cQ cB cB) False
% 3.55/3.74 Clause #30 (by superposition #[29, 26]): Eq False True
% 3.55/3.74 Clause #31 (by clausification #[30]): False
% 3.55/3.74 SZS output end Proof for theBenchmark.p
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