TSTP Solution File: SYO099^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO099^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 04:21:30 EDT 2023
% Result : Theorem 3.49s 3.66s
% Output : Proof 3.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO099^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 23:08:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.49/3.66 SZS status Theorem for theBenchmark.p
% 3.49/3.66 SZS output start Proof for theBenchmark.p
% 3.49/3.66 Clause #0 (by assumption #[]): Eq
% 3.49/3.66 (Not
% 3.49/3.66 (Or
% 3.49/3.66 (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (Or (∀ (Y : Iota), cM Y) (Exists fun S => cN S))))
% 3.49/3.66 (Not (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T))))))
% 3.49/3.66 True
% 3.49/3.66 Clause #1 (by betaEtaReduce #[0]): Eq
% 3.49/3.66 (Not
% 3.49/3.66 (Or (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (Or (∀ (Y : Iota), cM Y) (Exists cN))))
% 3.49/3.66 (Not (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T))))))
% 3.49/3.66 True
% 3.49/3.66 Clause #2 (by clausification #[1]): Eq
% 3.49/3.66 (Or (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (Or (∀ (Y : Iota), cM Y) (Exists cN))))
% 3.49/3.66 (Not (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T)))))
% 3.49/3.66 False
% 3.49/3.66 Clause #3 (by clausification #[2]): Eq (Not (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T)))) False
% 3.49/3.66 Clause #4 (by clausification #[2]): Eq (Or (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) (Not (Or (∀ (Y : Iota), cM Y) (Exists cN)))) False
% 3.49/3.66 Clause #5 (by clausification #[3]): Eq (Or (∀ (Z : Iota), Not (cN Z)) (Not (∀ (T : Iota), cG T))) True
% 3.49/3.66 Clause #6 (by clausification #[5]): Or (Eq (∀ (Z : Iota), Not (cN Z)) True) (Eq (Not (∀ (T : Iota), cG T)) True)
% 3.49/3.66 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (Not (∀ (T : Iota), cG T)) True) (Eq (Not (cN a)) True)
% 3.49/3.66 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (Not (cN a)) True) (Eq (∀ (T : Iota), cG T) False)
% 3.49/3.66 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (∀ (T : Iota), cG T) False) (Eq (cN a) False)
% 3.49/3.66 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (cN a) False) (Eq (Not (cG (skS.0 0 a_1))) True)
% 3.49/3.66 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (cN a) False) (Eq (cG (skS.0 0 a_1)) False)
% 3.49/3.66 Clause #12 (by clausification #[4]): Eq (Not (Or (∀ (Y : Iota), cM Y) (Exists cN))) False
% 3.49/3.66 Clause #13 (by clausification #[4]): Eq (Or (∀ (R : Iota), cM R) (Exists fun X => Not (cG X))) False
% 3.49/3.66 Clause #14 (by clausification #[12]): Eq (Or (∀ (Y : Iota), cM Y) (Exists cN)) True
% 3.49/3.66 Clause #15 (by clausification #[14]): Or (Eq (∀ (Y : Iota), cM Y) True) (Eq (Exists cN) True)
% 3.49/3.66 Clause #16 (by clausification #[15]): ∀ (a : Iota), Or (Eq (Exists cN) True) (Eq (cM a) True)
% 3.49/3.66 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (cM a) True) (Eq (cN (skS.0 1 a_1)) True)
% 3.49/3.66 Clause #18 (by superposition #[17, 11]): ∀ (a a_1 : Iota), Or (Eq (cM a) True) (Or (Eq True False) (Eq (cG (skS.0 0 a_1)) False))
% 3.49/3.66 Clause #19 (by clausification #[13]): Eq (Exists fun X => Not (cG X)) False
% 3.49/3.66 Clause #20 (by clausification #[13]): Eq (∀ (R : Iota), cM R) False
% 3.49/3.66 Clause #21 (by clausification #[19]): ∀ (a : Iota), Eq (Not (cG a)) False
% 3.49/3.66 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (cG a) True
% 3.49/3.66 Clause #23 (by clausification #[20]): ∀ (a : Iota), Eq (Not (cM (skS.0 2 a))) True
% 3.49/3.66 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (cM (skS.0 2 a)) False
% 3.49/3.66 Clause #28 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (cM a) True) (Eq (cG (skS.0 0 a_1)) False)
% 3.49/3.66 Clause #29 (by superposition #[28, 22]): ∀ (a : Iota), Or (Eq (cM a) True) (Eq False True)
% 3.49/3.66 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (cM a) True
% 3.49/3.66 Clause #31 (by superposition #[30, 24]): Eq True False
% 3.49/3.66 Clause #32 (by clausification #[31]): False
% 3.49/3.66 SZS output end Proof for theBenchmark.p
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