TSTP Solution File: LCL469+1 by Duper---1.0
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% File : Duper---1.0
% Problem : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 07:09:53 EDT 2023
% Result : Theorem 4.03s 4.26s
% Output : Proof 4.03s
% 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 : LCL469+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n027.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 : Fri Aug 25 04:17:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.03/4.26 SZS status Theorem for theBenchmark.p
% 4.03/4.26 SZS output start Proof for theBenchmark.p
% 4.03/4.26 Clause #9 (by assumption #[]): Eq (Iff or_1 (∀ (X Y : Iota), is_a_theorem (implies X (or X Y)))) True
% 4.03/4.26 Clause #19 (by assumption #[]): Eq (Iff cn2 (∀ (P Q : Iota), is_a_theorem (implies P (implies (not P) Q)))) True
% 4.03/4.26 Clause #26 (by assumption #[]): Eq (op_or → ∀ (X Y : Iota), Eq (or X Y) (not (and (not X) (not Y)))) True
% 4.03/4.26 Clause #28 (by assumption #[]): Eq (op_implies_and → ∀ (X Y : Iota), Eq (implies X Y) (not (and X (not Y)))) True
% 4.03/4.26 Clause #31 (by assumption #[]): Eq op_or True
% 4.03/4.26 Clause #36 (by assumption #[]): Eq cn2 True
% 4.03/4.26 Clause #39 (by assumption #[]): Eq op_implies_and True
% 4.03/4.26 Clause #40 (by assumption #[]): Eq (Not or_1) True
% 4.03/4.26 Clause #52 (by clausification #[40]): Eq or_1 False
% 4.03/4.26 Clause #137 (by clausification #[9]): Or (Eq or_1 True) (Eq (∀ (X Y : Iota), is_a_theorem (implies X (or X Y))) False)
% 4.03/4.26 Clause #139 (by clausification #[137]): ∀ (a : Iota), Or (Eq or_1 True) (Eq (Not (∀ (Y : Iota), is_a_theorem (implies (skS.0 21 a) (or (skS.0 21 a) Y)))) True)
% 4.03/4.26 Clause #140 (by clausification #[139]): ∀ (a : Iota), Or (Eq or_1 True) (Eq (∀ (Y : Iota), is_a_theorem (implies (skS.0 21 a) (or (skS.0 21 a) Y))) False)
% 4.03/4.26 Clause #141 (by clausification #[140]): ∀ (a a_1 : Iota),
% 4.03/4.26 Or (Eq or_1 True) (Eq (Not (is_a_theorem (implies (skS.0 21 a) (or (skS.0 21 a) (skS.0 22 a a_1))))) True)
% 4.03/4.26 Clause #142 (by clausification #[141]): ∀ (a a_1 : Iota), Or (Eq or_1 True) (Eq (is_a_theorem (implies (skS.0 21 a) (or (skS.0 21 a) (skS.0 22 a a_1)))) False)
% 4.03/4.26 Clause #143 (by forward demodulation #[142, 52]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (is_a_theorem (implies (skS.0 21 a) (or (skS.0 21 a) (skS.0 22 a a_1)))) False)
% 4.03/4.26 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (skS.0 21 a) (or (skS.0 21 a) (skS.0 22 a a_1)))) False
% 4.03/4.26 Clause #180 (by clausification #[19]): Or (Eq cn2 False) (Eq (∀ (P Q : Iota), is_a_theorem (implies P (implies (not P) Q))) True)
% 4.03/4.26 Clause #186 (by clausification #[180]): ∀ (a : Iota), Or (Eq cn2 False) (Eq (∀ (Q : Iota), is_a_theorem (implies a (implies (not a) Q))) True)
% 4.03/4.26 Clause #187 (by clausification #[186]): ∀ (a a_1 : Iota), Or (Eq cn2 False) (Eq (is_a_theorem (implies a (implies (not a) a_1))) True)
% 4.03/4.26 Clause #188 (by forward demodulation #[187, 36]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies a (implies (not a) a_1))) True)
% 4.03/4.26 Clause #189 (by clausification #[188]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (implies (not a) a_1))) True
% 4.03/4.26 Clause #236 (by clausification #[28]): Or (Eq op_implies_and False) (Eq (∀ (X Y : Iota), Eq (implies X Y) (not (and X (not Y)))) True)
% 4.03/4.26 Clause #237 (by clausification #[236]): ∀ (a : Iota), Or (Eq op_implies_and False) (Eq (∀ (Y : Iota), Eq (implies a Y) (not (and a (not Y)))) True)
% 4.03/4.26 Clause #238 (by clausification #[237]): ∀ (a a_1 : Iota), Or (Eq op_implies_and False) (Eq (Eq (implies a a_1) (not (and a (not a_1)))) True)
% 4.03/4.26 Clause #239 (by clausification #[238]): ∀ (a a_1 : Iota), Or (Eq op_implies_and False) (Eq (implies a a_1) (not (and a (not a_1))))
% 4.03/4.26 Clause #240 (by forward demodulation #[239, 39]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (implies a a_1) (not (and a (not a_1))))
% 4.03/4.26 Clause #241 (by clausification #[240]): ∀ (a a_1 : Iota), Eq (implies a a_1) (not (and a (not a_1)))
% 4.03/4.26 Clause #277 (by clausification #[26]): Or (Eq op_or False) (Eq (∀ (X Y : Iota), Eq (or X Y) (not (and (not X) (not Y)))) True)
% 4.03/4.26 Clause #278 (by clausification #[277]): ∀ (a : Iota), Or (Eq op_or False) (Eq (∀ (Y : Iota), Eq (or a Y) (not (and (not a) (not Y)))) True)
% 4.03/4.26 Clause #279 (by clausification #[278]): ∀ (a a_1 : Iota), Or (Eq op_or False) (Eq (Eq (or a a_1) (not (and (not a) (not a_1)))) True)
% 4.03/4.26 Clause #280 (by clausification #[279]): ∀ (a a_1 : Iota), Or (Eq op_or False) (Eq (or a a_1) (not (and (not a) (not a_1))))
% 4.03/4.26 Clause #281 (by forward demodulation #[280, 31]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (or a a_1) (not (and (not a) (not a_1))))
% 4.03/4.26 Clause #282 (by clausification #[281]): ∀ (a a_1 : Iota), Eq (or a a_1) (not (and (not a) (not a_1)))
% 4.03/4.26 Clause #283 (by superposition #[282, 241]): ∀ (a a_1 : Iota), Eq (implies (not a) a_1) (or a a_1)
% 4.03/4.26 Clause #299 (by backward demodulation #[283, 189]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies a (or a a_1))) True
% 4.03/4.26 Clause #303 (by superposition #[299, 144]): Eq True False
% 4.03/4.26 Clause #306 (by clausification #[303]): False
% 4.03/4.26 SZS output end Proof for theBenchmark.p
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