TSTP Solution File: LCL452+1 by Duper---1.0
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% File : Duper---1.0
% Problem : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 07:09:49 EDT 2023
% Result : Theorem 25.06s 25.43s
% Output : Proof 25.06s
% 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 : LCL452+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 07:50:58 EDT 2023
% 0.12/0.33 % CPUTime :
% 25.06/25.43 SZS status Theorem for theBenchmark.p
% 25.06/25.43 SZS output start Proof for theBenchmark.p
% 25.06/25.43 Clause #9 (by assumption #[]): Eq (Iff or_1 (∀ (X Y : Iota), is_a_theorem (implies X (or X Y)))) True
% 25.06/25.43 Clause #19 (by assumption #[]): Eq (Iff cn2 (∀ (P Q : Iota), is_a_theorem (implies P (implies (not P) Q)))) True
% 25.06/25.43 Clause #26 (by assumption #[]): Eq (op_or → ∀ (X Y : Iota), Eq (or X Y) (not (and (not X) (not Y)))) True
% 25.06/25.43 Clause #28 (by assumption #[]): Eq (op_implies_and → ∀ (X Y : Iota), Eq (implies X Y) (not (and X (not Y)))) True
% 25.06/25.43 Clause #31 (by assumption #[]): Eq op_or True
% 25.06/25.43 Clause #32 (by assumption #[]): Eq op_implies_and True
% 25.06/25.43 Clause #42 (by assumption #[]): Eq or_1 True
% 25.06/25.43 Clause #50 (by assumption #[]): Eq (Not cn2) True
% 25.06/25.43 Clause #78 (by clausification #[50]): Eq cn2 False
% 25.06/25.43 Clause #196 (by clausification #[9]): Or (Eq or_1 False) (Eq (∀ (X Y : Iota), is_a_theorem (implies X (or X Y))) True)
% 25.06/25.43 Clause #202 (by clausification #[196]): ∀ (a : Iota), Or (Eq or_1 False) (Eq (∀ (Y : Iota), is_a_theorem (implies a (or a Y))) True)
% 25.06/25.43 Clause #203 (by clausification #[202]): ∀ (a a_1 : Iota), Or (Eq or_1 False) (Eq (is_a_theorem (implies a (or a a_1))) True)
% 25.06/25.43 Clause #204 (by forward demodulation #[203, 42]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies a (or a a_1))) True)
% 25.06/25.43 Clause #205 (by clausification #[204]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (or a a_1))) True
% 25.06/25.43 Clause #212 (by clausification #[19]): Or (Eq cn2 True) (Eq (∀ (P Q : Iota), is_a_theorem (implies P (implies (not P) Q))) False)
% 25.06/25.43 Clause #214 (by clausification #[212]): ∀ (a : Iota),
% 25.06/25.43 Or (Eq cn2 True) (Eq (Not (∀ (Q : Iota), is_a_theorem (implies (skS.0 30 a) (implies (not (skS.0 30 a)) Q)))) True)
% 25.06/25.43 Clause #215 (by clausification #[214]): ∀ (a : Iota),
% 25.06/25.43 Or (Eq cn2 True) (Eq (∀ (Q : Iota), is_a_theorem (implies (skS.0 30 a) (implies (not (skS.0 30 a)) Q))) False)
% 25.06/25.43 Clause #216 (by clausification #[215]): ∀ (a a_1 : Iota),
% 25.06/25.43 Or (Eq cn2 True) (Eq (Not (is_a_theorem (implies (skS.0 30 a) (implies (not (skS.0 30 a)) (skS.0 31 a a_1))))) True)
% 25.06/25.43 Clause #217 (by clausification #[216]): ∀ (a a_1 : Iota),
% 25.06/25.43 Or (Eq cn2 True) (Eq (is_a_theorem (implies (skS.0 30 a) (implies (not (skS.0 30 a)) (skS.0 31 a a_1)))) False)
% 25.06/25.43 Clause #218 (by forward demodulation #[217, 78]): ∀ (a a_1 : Iota),
% 25.06/25.43 Or (Eq False True) (Eq (is_a_theorem (implies (skS.0 30 a) (implies (not (skS.0 30 a)) (skS.0 31 a a_1)))) False)
% 25.06/25.43 Clause #219 (by clausification #[218]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (skS.0 30 a) (implies (not (skS.0 30 a)) (skS.0 31 a a_1)))) False
% 25.06/25.43 Clause #388 (by clausification #[26]): Or (Eq op_or False) (Eq (∀ (X Y : Iota), Eq (or X Y) (not (and (not X) (not Y)))) True)
% 25.06/25.43 Clause #389 (by clausification #[388]): ∀ (a : Iota), Or (Eq op_or False) (Eq (∀ (Y : Iota), Eq (or a Y) (not (and (not a) (not Y)))) True)
% 25.06/25.43 Clause #390 (by clausification #[389]): ∀ (a a_1 : Iota), Or (Eq op_or False) (Eq (Eq (or a a_1) (not (and (not a) (not a_1)))) True)
% 25.06/25.43 Clause #391 (by clausification #[390]): ∀ (a a_1 : Iota), Or (Eq op_or False) (Eq (or a a_1) (not (and (not a) (not a_1))))
% 25.06/25.43 Clause #392 (by forward demodulation #[391, 31]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (or a a_1) (not (and (not a) (not a_1))))
% 25.06/25.43 Clause #393 (by clausification #[392]): ∀ (a a_1 : Iota), Eq (or a a_1) (not (and (not a) (not a_1)))
% 25.06/25.43 Clause #433 (by clausification #[28]): Or (Eq op_implies_and False) (Eq (∀ (X Y : Iota), Eq (implies X Y) (not (and X (not Y)))) True)
% 25.06/25.43 Clause #434 (by clausification #[433]): ∀ (a : Iota), Or (Eq op_implies_and False) (Eq (∀ (Y : Iota), Eq (implies a Y) (not (and a (not Y)))) True)
% 25.06/25.43 Clause #435 (by clausification #[434]): ∀ (a a_1 : Iota), Or (Eq op_implies_and False) (Eq (Eq (implies a a_1) (not (and a (not a_1)))) True)
% 25.06/25.43 Clause #436 (by clausification #[435]): ∀ (a a_1 : Iota), Or (Eq op_implies_and False) (Eq (implies a a_1) (not (and a (not a_1))))
% 25.06/25.43 Clause #437 (by forward demodulation #[436, 32]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (implies a a_1) (not (and a (not a_1))))
% 25.06/25.43 Clause #438 (by clausification #[437]): ∀ (a a_1 : Iota), Eq (implies a a_1) (not (and a (not a_1)))
% 25.06/25.46 Clause #439 (by superposition #[438, 393]): ∀ (a a_1 : Iota), Eq (or a a_1) (implies (not a) a_1)
% 25.06/25.46 Clause #472 (by backward demodulation #[439, 219]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (skS.0 30 a) (or (skS.0 30 a) (skS.0 31 a a_1)))) False
% 25.06/25.46 Clause #5809 (by superposition #[472, 205]): Eq False True
% 25.06/25.46 Clause #5810 (by clausification #[5809]): False
% 25.06/25.46 SZS output end Proof for theBenchmark.p
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