TSTP Solution File: KRS254+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 : Thu Aug 31 05:43:48 EDT 2023
% Result : Theorem 102.81s 102.96s
% Output : Proof 102.93s
% 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 : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 01:51:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 102.81/102.96 SZS status Theorem for theBenchmark.p
% 102.81/102.96 SZS output start Proof for theBenchmark.p
% 102.81/102.96 Clause #0 (by assumption #[]): Eq (∀ (Ax C : Iota), Iff (Not (Exists fun I1 => model I1 Ax) → Not (Exists fun I2 => model I2 C)) (status Ax C unp))
% 102.81/102.96 True
% 102.81/102.96 Clause #4 (by assumption #[]): Eq (∀ (Ax C : Iota), Iff (∀ (I1 : Iota), model I1 Ax → model I1 C) (status Ax C thm)) True
% 102.81/102.96 Clause #19 (by assumption #[]): Eq (∀ (S1 S2 : Iota), Iff (Exists fun Ax => Exists fun C => And (status Ax C S1) (status Ax C S2)) (mighta S1 S2)) True
% 102.81/102.96 Clause #26 (by assumption #[]): Eq (Exists fun F => ∀ (I : Iota), model I F) True
% 102.81/102.96 Clause #32 (by assumption #[]): Eq (Not (mighta unp thm)) True
% 102.81/102.96 Clause #33 (by clausification #[32]): Eq (mighta unp thm) False
% 102.81/102.96 Clause #34 (by clausification #[26]): ∀ (a : Iota), Eq (∀ (I : Iota), model I (skS.0 0 a)) True
% 102.81/102.96 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (model a (skS.0 0 a_1)) True
% 102.81/102.96 Clause #47 (by clausification #[0]): ∀ (a : Iota),
% 102.81/102.96 Eq (∀ (C : Iota), Iff (Not (Exists fun I1 => model I1 a) → Not (Exists fun I2 => model I2 C)) (status a C unp)) True
% 102.81/102.96 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 102.81/102.96 Eq (Iff (Not (Exists fun I1 => model I1 a) → Not (Exists fun I2 => model I2 a_1)) (status a a_1 unp)) True
% 102.81/102.96 Clause #50 (by clausification #[48]): ∀ (a a_1 : Iota),
% 102.81/102.96 Or (Eq (Not (Exists fun I1 => model I1 a) → Not (Exists fun I2 => model I2 a_1)) False) (Eq (status a a_1 unp) True)
% 102.81/102.96 Clause #110 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (∀ (I1 : Iota), model I1 a → model I1 C) (status a C thm)) True
% 102.81/102.96 Clause #111 (by clausification #[110]): ∀ (a a_1 : Iota), Eq (Iff (∀ (I1 : Iota), model I1 a → model I1 a_1) (status a a_1 thm)) True
% 102.81/102.96 Clause #113 (by clausification #[111]): ∀ (a a_1 : Iota), Or (Eq (∀ (I1 : Iota), model I1 a → model I1 a_1) False) (Eq (status a a_1 thm) True)
% 102.81/102.96 Clause #116 (by clausification #[113]): ∀ (a a_1 a_2 : Iota),
% 102.81/102.96 Or (Eq (status a a_1 thm) True) (Eq (Not (model (skS.0 6 a a_1 a_2) a → model (skS.0 6 a a_1 a_2) a_1)) True)
% 102.81/102.96 Clause #117 (by clausification #[116]): ∀ (a a_1 a_2 : Iota),
% 102.81/102.96 Or (Eq (status a a_1 thm) True) (Eq (model (skS.0 6 a a_1 a_2) a → model (skS.0 6 a a_1 a_2) a_1) False)
% 102.81/102.96 Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 : Iota), Or (Eq (status a a_1 thm) True) (Eq (model (skS.0 6 a a_1 a_2) a_1) False)
% 102.81/102.96 Clause #197 (by clausification #[50]): ∀ (a a_1 : Iota), Or (Eq (status a a_1 unp) True) (Eq (Not (Exists fun I1 => model I1 a)) True)
% 102.81/102.96 Clause #198 (by clausification #[50]): ∀ (a a_1 : Iota), Or (Eq (status a a_1 unp) True) (Eq (Not (Exists fun I2 => model I2 a_1)) False)
% 102.81/102.96 Clause #199 (by clausification #[197]): ∀ (a a_1 : Iota), Or (Eq (status a a_1 unp) True) (Eq (Exists fun I1 => model I1 a) False)
% 102.81/102.96 Clause #200 (by clausification #[199]): ∀ (a a_1 a_2 : Iota), Or (Eq (status a a_1 unp) True) (Eq (model a_2 a) False)
% 102.81/102.96 Clause #248 (by clausification #[198]): ∀ (a a_1 : Iota), Or (Eq (status a a_1 unp) True) (Eq (Exists fun I2 => model I2 a_1) True)
% 102.81/102.96 Clause #249 (by clausification #[248]): ∀ (a a_1 a_2 : Iota), Or (Eq (status a a_1 unp) True) (Eq (model (skS.0 13 a_1 a_2) a_1) True)
% 102.81/102.96 Clause #256 (by superposition #[249, 200]): ∀ (a a_1 a_2 : Iota), Or (Eq (status a a_1 unp) True) (Or (Eq (status a_1 a_2 unp) True) (Eq True False))
% 102.81/102.96 Clause #257 (by clausification #[256]): ∀ (a a_1 a_2 : Iota), Or (Eq (status a a_1 unp) True) (Eq (status a_1 a_2 unp) True)
% 102.81/102.96 Clause #260 (by equality factoring #[257]): ∀ (a : Iota), Or (Ne True True) (Eq (status a a unp) True)
% 102.81/102.96 Clause #261 (by clausification #[260]): ∀ (a : Iota), Or (Eq (status a a unp) True) (Or (Eq True False) (Eq True False))
% 102.81/102.96 Clause #263 (by clausification #[261]): ∀ (a : Iota), Or (Eq (status a a unp) True) (Eq True False)
% 102.81/102.96 Clause #264 (by clausification #[263]): ∀ (a : Iota), Eq (status a a unp) True
% 102.81/102.96 Clause #546 (by clausification #[19]): ∀ (a : Iota),
% 102.81/102.96 Eq (∀ (S2 : Iota), Iff (Exists fun Ax => Exists fun C => And (status Ax C a) (status Ax C S2)) (mighta a S2)) True
% 102.81/102.96 Clause #547 (by clausification #[546]): ∀ (a a_1 : Iota), Eq (Iff (Exists fun Ax => Exists fun C => And (status Ax C a) (status Ax C a_1)) (mighta a a_1)) True
% 102.93/103.13 Clause #549 (by clausification #[547]): ∀ (a a_1 : Iota),
% 102.93/103.13 Or (Eq (Exists fun Ax => Exists fun C => And (status Ax C a) (status Ax C a_1)) False) (Eq (mighta a a_1) True)
% 102.93/103.13 Clause #1410 (by superposition #[119, 35]): ∀ (a a_1 : Iota), Or (Eq (status a (skS.0 0 a_1) thm) True) (Eq False True)
% 102.93/103.13 Clause #1428 (by clausification #[1410]): ∀ (a a_1 : Iota), Eq (status a (skS.0 0 a_1) thm) True
% 102.93/103.13 Clause #16131 (by clausification #[549]): ∀ (a a_1 a_2 : Iota), Or (Eq (mighta a a_1) True) (Eq (Exists fun C => And (status a_2 C a) (status a_2 C a_1)) False)
% 102.93/103.13 Clause #16132 (by clausification #[16131]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (mighta a a_1) True) (Eq (And (status a_2 a_3 a) (status a_2 a_3 a_1)) False)
% 102.93/103.13 Clause #16133 (by clausification #[16132]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (mighta a a_1) True) (Or (Eq (status a_2 a_3 a) False) (Eq (status a_2 a_3 a_1) False))
% 102.93/103.13 Clause #16348 (by superposition #[16133, 264]): ∀ (a a_1 : Iota), Or (Eq (mighta unp a) True) (Or (Eq (status a_1 a_1 a) False) (Eq False True))
% 102.93/103.13 Clause #17632 (by clausification #[16348]): ∀ (a a_1 : Iota), Or (Eq (mighta unp a) True) (Eq (status a_1 a_1 a) False)
% 102.93/103.13 Clause #17641 (by superposition #[17632, 1428]): Or (Eq (mighta unp thm) True) (Eq False True)
% 102.93/103.13 Clause #18096 (by clausification #[17641]): Eq (mighta unp thm) True
% 102.93/103.13 Clause #18097 (by superposition #[18096, 33]): Eq True False
% 102.93/103.13 Clause #18100 (by clausification #[18097]): False
% 102.93/103.13 SZS output end Proof for theBenchmark.p
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