TSTP Solution File: LCL646+1.001 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 07:10:24 EDT 2023
% Result : Theorem 3.55s 3.73s
% Output : Proof 3.55s
% 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 : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n018.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 01:00:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.55/3.73 SZS status Theorem for theBenchmark.p
% 3.55/3.73 SZS output start Proof for theBenchmark.p
% 3.55/3.73 Clause #0 (by assumption #[]): Eq
% 3.55/3.73 (Not
% 3.55/3.73 (Not
% 3.55/3.73 (Exists fun X =>
% 3.55/3.73 Not
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y))) (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y))))))
% 3.55/3.73 True
% 3.55/3.73 Clause #1 (by clausification #[0]): Eq
% 3.55/3.73 (Not
% 3.55/3.73 (Exists fun X =>
% 3.55/3.73 Not
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y))) (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y)))))
% 3.55/3.73 False
% 3.55/3.73 Clause #2 (by clausification #[1]): Eq
% 3.55/3.73 (Exists fun X =>
% 3.55/3.73 Not
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p6 Y))) (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p4 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y))))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p5 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p3 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p2 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 X Y)) (p1 Y))))
% 3.55/3.73 True
% 3.55/3.73 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.55/3.73 Eq
% 3.55/3.73 (Not
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p6 Y)))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p3 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p1 Y))))
% 3.55/3.73 True
% 3.55/3.73 Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 3.55/3.73 Eq
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p6 Y)))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p3 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p1 Y)))
% 3.55/3.73 False
% 3.55/3.73 Clause #6 (by clausification #[4]): ∀ (a : Iota),
% 3.55/3.73 Eq
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or
% 3.55/3.73 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p6 Y)))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))))
% 3.55/3.73 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p3 Y)))
% 3.55/3.73 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y)))
% 3.55/3.75 False
% 3.55/3.75 Clause #12 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y)) False
% 3.55/3.75 Clause #13 (by clausification #[6]): ∀ (a : Iota),
% 3.55/3.75 Eq
% 3.55/3.75 (Or
% 3.55/3.75 (Or
% 3.55/3.75 (Or
% 3.55/3.75 (Or
% 3.55/3.75 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p6 Y)))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.75 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)))
% 3.55/3.75 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p3 Y)))
% 3.55/3.75 False
% 3.55/3.75 Clause #14 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 0 a) (skS.0 2 a a_1))) (p2 (skS.0 2 a a_1)))) True
% 3.55/3.75 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 0 a) (skS.0 2 a a_1))) (p2 (skS.0 2 a a_1))) False
% 3.55/3.75 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (p2 (skS.0 2 a a_1)) False
% 3.55/3.75 Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 0 a) (skS.0 2 a a_1))) False
% 3.55/3.75 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 0 a) (skS.0 2 a a_1)) True
% 3.55/3.75 Clause #20 (by clausification #[13]): ∀ (a : Iota),
% 3.55/3.75 Eq
% 3.55/3.75 (Or
% 3.55/3.75 (Or
% 3.55/3.75 (Or
% 3.55/3.75 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p6 Y)))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.75 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p5 Y)))
% 3.55/3.75 False
% 3.55/3.75 Clause #26 (by clausification #[20]): ∀ (a : Iota),
% 3.55/3.75 Eq
% 3.55/3.75 (Or
% 3.55/3.75 (Or
% 3.55/3.75 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p6 Y)))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p4 Y))))
% 3.55/3.75 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))))
% 3.55/3.75 False
% 3.55/3.75 Clause #33 (by clausification #[26]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y))) False
% 3.55/3.75 Clause #35 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p2 Y)) True
% 3.55/3.75 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 0 a) a_1)) (p2 a_1)) True
% 3.55/3.75 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (Not (r1 (skS.0 0 a) a_1)) True) (Eq (p2 a_1) True)
% 3.55/3.75 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (p2 a) True) (Eq (r1 (skS.0 0 a_1) a) False)
% 3.55/3.75 Clause #40 (by superposition #[38, 18]): ∀ (a a_1 : Iota), Or (Eq (p2 (skS.0 2 a a_1)) True) (Eq False True)
% 3.55/3.75 Clause #60 (by clausification #[40]): ∀ (a a_1 : Iota), Eq (p2 (skS.0 2 a a_1)) True
% 3.55/3.75 Clause #61 (by superposition #[60, 16]): Eq True False
% 3.55/3.75 Clause #62 (by clausification #[61]): False
% 3.55/3.75 SZS output end Proof for theBenchmark.p
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