TSTP Solution File: LCL512+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 07:10:00 EDT 2023
% Result : Theorem 4.38s 4.55s
% Output : Proof 4.38s
% 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 : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 05:16:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 4.38/4.55 SZS status Theorem for theBenchmark.p
% 4.38/4.55 SZS output start Proof for theBenchmark.p
% 4.38/4.55 Clause #12 (by assumption #[]): Eq (Iff equivalence_1 (∀ (X Y : Iota), is_a_theorem (implies (equiv X Y) (implies X Y)))) True
% 4.38/4.55 Clause #16 (by assumption #[]): Eq (Iff kn2 (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P))) True
% 4.38/4.55 Clause #30 (by assumption #[]): Eq (op_equiv → ∀ (X Y : Iota), Eq (equiv X Y) (and (implies X Y) (implies Y X))) True
% 4.38/4.55 Clause #33 (by assumption #[]): Eq op_equiv True
% 4.38/4.55 Clause #36 (by assumption #[]): Eq kn2 True
% 4.38/4.55 Clause #39 (by assumption #[]): Eq (Not equivalence_1) True
% 4.38/4.55 Clause #51 (by clausification #[39]): Eq equivalence_1 False
% 4.38/4.55 Clause #141 (by clausification #[16]): Or (Eq kn2 False) (Eq (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P)) True)
% 4.38/4.55 Clause #147 (by clausification #[141]): ∀ (a : Iota), Or (Eq kn2 False) (Eq (∀ (Q : Iota), is_a_theorem (implies (and a Q) a)) True)
% 4.38/4.55 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota), Or (Eq kn2 False) (Eq (is_a_theorem (implies (and a a_1) a)) True)
% 4.38/4.55 Clause #149 (by forward demodulation #[148, 36]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies (and a a_1) a)) True)
% 4.38/4.55 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (and a a_1) a)) True
% 4.38/4.55 Clause #199 (by clausification #[12]): Or (Eq equivalence_1 True) (Eq (∀ (X Y : Iota), is_a_theorem (implies (equiv X Y) (implies X Y))) False)
% 4.38/4.55 Clause #201 (by clausification #[199]): ∀ (a : Iota),
% 4.38/4.55 Or (Eq equivalence_1 True)
% 4.38/4.55 (Eq (Not (∀ (Y : Iota), is_a_theorem (implies (equiv (skS.0 34 a) Y) (implies (skS.0 34 a) Y)))) True)
% 4.38/4.55 Clause #202 (by clausification #[201]): ∀ (a : Iota),
% 4.38/4.55 Or (Eq equivalence_1 True)
% 4.38/4.55 (Eq (∀ (Y : Iota), is_a_theorem (implies (equiv (skS.0 34 a) Y) (implies (skS.0 34 a) Y))) False)
% 4.38/4.55 Clause #203 (by clausification #[202]): ∀ (a a_1 : Iota),
% 4.38/4.55 Or (Eq equivalence_1 True)
% 4.38/4.55 (Eq (Not (is_a_theorem (implies (equiv (skS.0 34 a) (skS.0 35 a a_1)) (implies (skS.0 34 a) (skS.0 35 a a_1)))))
% 4.38/4.55 True)
% 4.38/4.55 Clause #204 (by clausification #[203]): ∀ (a a_1 : Iota),
% 4.38/4.55 Or (Eq equivalence_1 True)
% 4.38/4.55 (Eq (is_a_theorem (implies (equiv (skS.0 34 a) (skS.0 35 a a_1)) (implies (skS.0 34 a) (skS.0 35 a a_1)))) False)
% 4.38/4.55 Clause #205 (by forward demodulation #[204, 51]): ∀ (a a_1 : Iota),
% 4.38/4.55 Or (Eq False True)
% 4.38/4.55 (Eq (is_a_theorem (implies (equiv (skS.0 34 a) (skS.0 35 a a_1)) (implies (skS.0 34 a) (skS.0 35 a a_1)))) False)
% 4.38/4.55 Clause #206 (by clausification #[205]): ∀ (a a_1 : Iota),
% 4.38/4.55 Eq (is_a_theorem (implies (equiv (skS.0 34 a) (skS.0 35 a a_1)) (implies (skS.0 34 a) (skS.0 35 a a_1)))) False
% 4.38/4.55 Clause #401 (by clausification #[30]): Or (Eq op_equiv False) (Eq (∀ (X Y : Iota), Eq (equiv X Y) (and (implies X Y) (implies Y X))) True)
% 4.38/4.55 Clause #402 (by clausification #[401]): ∀ (a : Iota), Or (Eq op_equiv False) (Eq (∀ (Y : Iota), Eq (equiv a Y) (and (implies a Y) (implies Y a))) True)
% 4.38/4.55 Clause #403 (by clausification #[402]): ∀ (a a_1 : Iota), Or (Eq op_equiv False) (Eq (Eq (equiv a a_1) (and (implies a a_1) (implies a_1 a))) True)
% 4.38/4.55 Clause #404 (by clausification #[403]): ∀ (a a_1 : Iota), Or (Eq op_equiv False) (Eq (equiv a a_1) (and (implies a a_1) (implies a_1 a)))
% 4.38/4.55 Clause #405 (by forward demodulation #[404, 33]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (equiv a a_1) (and (implies a a_1) (implies a_1 a)))
% 4.38/4.55 Clause #406 (by clausification #[405]): ∀ (a a_1 : Iota), Eq (equiv a a_1) (and (implies a a_1) (implies a_1 a))
% 4.38/4.55 Clause #409 (by superposition #[406, 150]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (equiv a a_1) (implies a a_1))) True
% 4.38/4.55 Clause #418 (by superposition #[409, 206]): Eq True False
% 4.38/4.55 Clause #422 (by clausification #[418]): False
% 4.38/4.55 SZS output end Proof for theBenchmark.p
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