TSTP Solution File: SYO111^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO111^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 04:21:32 EDT 2023
% Result : Theorem 3.59s 3.81s
% Output : Proof 3.59s
% 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 : SYO111^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n022.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 00:59:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.59/3.81 SZS status Theorem for theBenchmark.p
% 3.59/3.81 SZS output start Proof for theBenchmark.p
% 3.59/3.81 Clause #0 (by assumption #[]): Eq
% 3.59/3.81 (Not
% 3.59/3.81 (Or
% 3.59/3.81 (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X)))
% 3.59/3.81 (Not (Or (∀ (Y : Iota), cM Y) (Exists fun S => cN S))))
% 3.59/3.81 (Not (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T)))) →
% 3.59/3.81 Or
% 3.59/3.81 (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X)))
% 3.59/3.81 (Not (∀ (Y : Iota), Or (cM Y) (Exists fun S => cN S))))
% 3.59/3.81 (Not (∀ (Z : Iota), Or (Not (cN Z)) (Not (∀ (T : Iota), cG T))))))
% 3.59/3.81 True
% 3.59/3.81 Clause #1 (by betaEtaReduce #[0]): Eq
% 3.59/3.81 (Not
% 3.59/3.81 (Or (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (Or (∀ (Y : Iota), cM Y) (Exists cN))))
% 3.59/3.81 (Not (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T)))) →
% 3.59/3.81 Or (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (∀ (Y : Iota), Or (cM Y) (Exists cN))))
% 3.59/3.81 (Not (∀ (Z : Iota), Or (Not (cN Z)) (Not (∀ (T : Iota), cG T))))))
% 3.59/3.81 True
% 3.59/3.81 Clause #2 (by clausification #[1]): Eq
% 3.59/3.81 (Or (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (Or (∀ (Y : Iota), cM Y) (Exists cN))))
% 3.59/3.81 (Not (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T)))) →
% 3.59/3.81 Or (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (∀ (Y : Iota), Or (cM Y) (Exists cN))))
% 3.59/3.81 (Not (∀ (Z : Iota), Or (Not (cN Z)) (Not (∀ (T : Iota), cG T)))))
% 3.59/3.81 False
% 3.59/3.81 Clause #4 (by clausification #[2]): Eq
% 3.59/3.81 (Or (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (∀ (Y : Iota), Or (cM Y) (Exists cN))))
% 3.59/3.81 (Not (∀ (Z : Iota), Or (Not (cN Z)) (Not (∀ (T : Iota), cG T)))))
% 3.59/3.81 False
% 3.59/3.81 Clause #40 (by clausification #[4]): Eq (Not (∀ (Z : Iota), Or (Not (cN Z)) (Not (∀ (T : Iota), cG T)))) False
% 3.59/3.81 Clause #41 (by clausification #[4]): Eq (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (∀ (Y : Iota), Or (cM Y) (Exists cN)))) False
% 3.59/3.81 Clause #42 (by clausification #[40]): Eq (∀ (Z : Iota), Or (Not (cN Z)) (Not (∀ (T : Iota), cG T))) True
% 3.59/3.81 Clause #43 (by clausification #[42]): ∀ (a : Iota), Eq (Or (Not (cN a)) (Not (∀ (T : Iota), cG T))) True
% 3.59/3.81 Clause #44 (by clausification #[43]): ∀ (a : Iota), Or (Eq (Not (cN a)) True) (Eq (Not (∀ (T : Iota), cG T)) True)
% 3.59/3.81 Clause #45 (by clausification #[44]): ∀ (a : Iota), Or (Eq (Not (∀ (T : Iota), cG T)) True) (Eq (cN a) False)
% 3.59/3.81 Clause #46 (by clausification #[45]): ∀ (a : Iota), Or (Eq (cN a) False) (Eq (∀ (T : Iota), cG T) False)
% 3.59/3.81 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (cN a) False) (Eq (Not (cG (skS.0 6 a_1))) True)
% 3.59/3.81 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (cN a) False) (Eq (cG (skS.0 6 a_1)) False)
% 3.59/3.81 Clause #49 (by clausification #[41]): Eq (Not (∀ (Y : Iota), Or (cM Y) (Exists cN))) False
% 3.59/3.81 Clause #50 (by clausification #[41]): Eq (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) False
% 3.59/3.81 Clause #51 (by clausification #[49]): Eq (∀ (Y : Iota), Or (cM Y) (Exists cN)) True
% 3.59/3.81 Clause #52 (by clausification #[51]): ∀ (a : Iota), Eq (Or (cM a) (Exists cN)) True
% 3.59/3.81 Clause #53 (by clausification #[52]): ∀ (a : Iota), Or (Eq (cM a) True) (Eq (Exists cN) True)
% 3.59/3.81 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Or (Eq (cM a) True) (Eq (cN (skS.0 7 a_1)) True)
% 3.59/3.81 Clause #56 (by clausification #[50]): Eq (Exists fun X => Not (cG X)) False
% 3.59/3.81 Clause #57 (by clausification #[50]): Eq (∀ (R : Iota), cM R) False
% 3.59/3.81 Clause #58 (by clausification #[56]): ∀ (a : Iota), Eq (Not (cG a)) False
% 3.59/3.81 Clause #59 (by clausification #[58]): ∀ (a : Iota), Eq (cG a) True
% 3.59/3.81 Clause #62 (by clausification #[57]): ∀ (a : Iota), Eq (Not (cM (skS.0 8 a))) True
% 3.59/3.81 Clause #63 (by clausification #[62]): ∀ (a : Iota), Eq (cM (skS.0 8 a)) False
% 3.59/3.81 Clause #64 (by superposition #[63, 54]): ∀ (a : Iota), Or (Eq False True) (Eq (cN (skS.0 7 a)) True)
% 3.59/3.81 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (cN (skS.0 7 a)) True
% 3.59/3.81 Clause #66 (by superposition #[65, 48]): ∀ (a : Iota), Or (Eq True False) (Eq (cG (skS.0 6 a)) False)
% 3.59/3.81 Clause #67 (by clausification #[66]): ∀ (a : Iota), Eq (cG (skS.0 6 a)) False
% 3.59/3.81 Clause #68 (by superposition #[67, 59]): Eq False True
% 3.59/3.81 Clause #69 (by clausification #[68]): False
% 3.59/3.81 SZS output end Proof for theBenchmark.p
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