TSTP Solution File: LCL451+1 by Duper---1.0
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% File : Duper---1.0
% Problem : LCL451+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 5.24s 5.40s
% Output : Proof 5.24s
% 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 : LCL451+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 19:44:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.24/5.40 SZS status Theorem for theBenchmark.p
% 5.24/5.40 SZS output start Proof for theBenchmark.p
% 5.24/5.40 Clause #5 (by assumption #[]): Eq (Iff implies_3 (∀ (X Y Z : Iota), is_a_theorem (implies (implies X Y) (implies (implies Y Z) (implies X Z))))) True
% 5.24/5.40 Clause #18 (by assumption #[]): Eq (Iff cn1 (∀ (P Q R : Iota), is_a_theorem (implies (implies P Q) (implies (implies Q R) (implies P R))))) True
% 5.24/5.40 Clause #38 (by assumption #[]): Eq implies_3 True
% 5.24/5.40 Clause #50 (by assumption #[]): Eq (Not cn1) True
% 5.24/5.40 Clause #78 (by clausification #[50]): Eq cn1 False
% 5.24/5.40 Clause #134 (by clausification #[5]): Or (Eq implies_3 False)
% 5.24/5.40 (Eq (∀ (X Y Z : Iota), is_a_theorem (implies (implies X Y) (implies (implies Y Z) (implies X Z)))) True)
% 5.24/5.40 Clause #315 (by clausification #[18]): Or (Eq cn1 True)
% 5.24/5.40 (Eq (∀ (P Q R : Iota), is_a_theorem (implies (implies P Q) (implies (implies Q R) (implies P R)))) False)
% 5.24/5.40 Clause #317 (by clausification #[315]): ∀ (a : Iota),
% 5.24/5.40 Or (Eq cn1 True)
% 5.24/5.40 (Eq
% 5.24/5.40 (Not
% 5.24/5.40 (∀ (Q R : Iota),
% 5.24/5.40 is_a_theorem (implies (implies (skS.0 46 a) Q) (implies (implies Q R) (implies (skS.0 46 a) R)))))
% 5.24/5.40 True)
% 5.24/5.40 Clause #318 (by clausification #[317]): ∀ (a : Iota),
% 5.24/5.40 Or (Eq cn1 True)
% 5.24/5.40 (Eq
% 5.24/5.40 (∀ (Q R : Iota), is_a_theorem (implies (implies (skS.0 46 a) Q) (implies (implies Q R) (implies (skS.0 46 a) R))))
% 5.24/5.40 False)
% 5.24/5.40 Clause #319 (by clausification #[318]): ∀ (a a_1 : Iota),
% 5.24/5.40 Or (Eq cn1 True)
% 5.24/5.40 (Eq
% 5.24/5.40 (Not
% 5.24/5.40 (∀ (R : Iota),
% 5.24/5.40 is_a_theorem
% 5.24/5.40 (implies (implies (skS.0 46 a) (skS.0 47 a a_1))
% 5.24/5.40 (implies (implies (skS.0 47 a a_1) R) (implies (skS.0 46 a) R)))))
% 5.24/5.40 True)
% 5.24/5.40 Clause #320 (by clausification #[319]): ∀ (a a_1 : Iota),
% 5.24/5.40 Or (Eq cn1 True)
% 5.24/5.40 (Eq
% 5.24/5.40 (∀ (R : Iota),
% 5.24/5.40 is_a_theorem
% 5.24/5.40 (implies (implies (skS.0 46 a) (skS.0 47 a a_1))
% 5.24/5.40 (implies (implies (skS.0 47 a a_1) R) (implies (skS.0 46 a) R))))
% 5.24/5.40 False)
% 5.24/5.40 Clause #321 (by clausification #[320]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.40 Or (Eq cn1 True)
% 5.24/5.40 (Eq
% 5.24/5.40 (Not
% 5.24/5.40 (is_a_theorem
% 5.24/5.40 (implies (implies (skS.0 46 a) (skS.0 47 a a_1))
% 5.24/5.40 (implies (implies (skS.0 47 a a_1) (skS.0 48 a a_1 a_2)) (implies (skS.0 46 a) (skS.0 48 a a_1 a_2))))))
% 5.24/5.40 True)
% 5.24/5.40 Clause #322 (by clausification #[321]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.40 Or (Eq cn1 True)
% 5.24/5.40 (Eq
% 5.24/5.40 (is_a_theorem
% 5.24/5.40 (implies (implies (skS.0 46 a) (skS.0 47 a a_1))
% 5.24/5.40 (implies (implies (skS.0 47 a a_1) (skS.0 48 a a_1 a_2)) (implies (skS.0 46 a) (skS.0 48 a a_1 a_2)))))
% 5.24/5.40 False)
% 5.24/5.40 Clause #323 (by forward demodulation #[322, 78]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.40 Or (Eq False True)
% 5.24/5.40 (Eq
% 5.24/5.40 (is_a_theorem
% 5.24/5.40 (implies (implies (skS.0 46 a) (skS.0 47 a a_1))
% 5.24/5.40 (implies (implies (skS.0 47 a a_1) (skS.0 48 a a_1 a_2)) (implies (skS.0 46 a) (skS.0 48 a a_1 a_2)))))
% 5.24/5.40 False)
% 5.24/5.40 Clause #324 (by clausification #[323]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.40 Eq
% 5.24/5.40 (is_a_theorem
% 5.24/5.40 (implies (implies (skS.0 46 a) (skS.0 47 a a_1))
% 5.24/5.40 (implies (implies (skS.0 47 a a_1) (skS.0 48 a a_1 a_2)) (implies (skS.0 46 a) (skS.0 48 a a_1 a_2)))))
% 5.24/5.40 False
% 5.24/5.40 Clause #630 (by clausification #[134]): ∀ (a : Iota),
% 5.24/5.40 Or (Eq implies_3 False)
% 5.24/5.40 (Eq (∀ (Y Z : Iota), is_a_theorem (implies (implies a Y) (implies (implies Y Z) (implies a Z)))) True)
% 5.24/5.40 Clause #631 (by clausification #[630]): ∀ (a a_1 : Iota),
% 5.24/5.40 Or (Eq implies_3 False)
% 5.24/5.40 (Eq (∀ (Z : Iota), is_a_theorem (implies (implies a a_1) (implies (implies a_1 Z) (implies a Z)))) True)
% 5.24/5.40 Clause #632 (by clausification #[631]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.40 Or (Eq implies_3 False) (Eq (is_a_theorem (implies (implies a a_1) (implies (implies a_1 a_2) (implies a a_2)))) True)
% 5.24/5.40 Clause #633 (by forward demodulation #[632, 38]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.40 Or (Eq True False) (Eq (is_a_theorem (implies (implies a a_1) (implies (implies a_1 a_2) (implies a a_2)))) True)
% 5.24/5.40 Clause #634 (by clausification #[633]): ∀ (a a_1 a_2 : Iota), Eq (is_a_theorem (implies (implies a a_1) (implies (implies a_1 a_2) (implies a a_2)))) True
% 5.24/5.40 Clause #637 (by superposition #[634, 324]): Eq True False
% 5.24/5.40 Clause #645 (by clausification #[637]): False
% 5.24/5.41 SZS output end Proof for theBenchmark.p
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