TSTP Solution File: LCL506+1 by Duper---1.0
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% File : Duper---1.0
% Problem : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 07:09:59 EDT 2023
% Result : Theorem 3.89s 4.11s
% Output : Proof 3.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL506+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n004.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 : Fri Aug 25 06:55:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.89/4.11 SZS status Theorem for theBenchmark.p
% 3.89/4.11 SZS output start Proof for theBenchmark.p
% 3.89/4.11 Clause #6 (by assumption #[]): Eq (Iff and_1 (∀ (X Y : Iota), is_a_theorem (implies (and X Y) X))) True
% 3.89/4.11 Clause #16 (by assumption #[]): Eq (Iff kn2 (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P))) True
% 3.89/4.11 Clause #36 (by assumption #[]): Eq kn2 True
% 3.89/4.11 Clause #39 (by assumption #[]): Eq (Not and_1) True
% 3.89/4.11 Clause #51 (by clausification #[39]): Eq and_1 False
% 3.89/4.11 Clause #102 (by clausification #[6]): Or (Eq and_1 True) (Eq (∀ (X Y : Iota), is_a_theorem (implies (and X Y) X)) False)
% 3.89/4.11 Clause #104 (by clausification #[102]): ∀ (a : Iota),
% 3.89/4.11 Or (Eq and_1 True) (Eq (Not (∀ (Y : Iota), is_a_theorem (implies (and (skS.0 10 a) Y) (skS.0 10 a)))) True)
% 3.89/4.11 Clause #105 (by clausification #[104]): ∀ (a : Iota), Or (Eq and_1 True) (Eq (∀ (Y : Iota), is_a_theorem (implies (and (skS.0 10 a) Y) (skS.0 10 a))) False)
% 3.89/4.11 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota),
% 3.89/4.11 Or (Eq and_1 True) (Eq (Not (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a)))) True)
% 3.89/4.11 Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota),
% 3.89/4.11 Or (Eq and_1 True) (Eq (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a))) False)
% 3.89/4.11 Clause #108 (by forward demodulation #[107, 51]): ∀ (a a_1 : Iota),
% 3.89/4.11 Or (Eq False True) (Eq (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a))) False)
% 3.89/4.11 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (and (skS.0 10 a) (skS.0 11 a a_1)) (skS.0 10 a))) False
% 3.89/4.11 Clause #144 (by clausification #[16]): Or (Eq kn2 False) (Eq (∀ (P Q : Iota), is_a_theorem (implies (and P Q) P)) True)
% 3.89/4.11 Clause #150 (by clausification #[144]): ∀ (a : Iota), Or (Eq kn2 False) (Eq (∀ (Q : Iota), is_a_theorem (implies (and a Q) a)) True)
% 3.89/4.11 Clause #151 (by clausification #[150]): ∀ (a a_1 : Iota), Or (Eq kn2 False) (Eq (is_a_theorem (implies (and a a_1) a)) True)
% 3.89/4.11 Clause #152 (by forward demodulation #[151, 36]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (is_a_theorem (implies (and a a_1) a)) True)
% 3.89/4.11 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (is_a_theorem (implies (and a a_1) a)) True
% 3.89/4.11 Clause #154 (by superposition #[153, 109]): Eq True False
% 3.89/4.11 Clause #156 (by clausification #[154]): False
% 3.89/4.11 SZS output end Proof for theBenchmark.p
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