TSTP Solution File: LCL664+1.001 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL664+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 07:10:36 EDT 2023
% Result : Theorem 3.66s 3.85s
% Output : Proof 3.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL664+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n020.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 05:04:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.66/3.85 SZS status Theorem for theBenchmark.p
% 3.66/3.85 SZS output start Proof for theBenchmark.p
% 3.66/3.85 Clause #1 (by assumption #[]): Eq
% 3.66/3.85 (Not
% 3.66/3.85 (Not
% 3.66/3.85 (Exists fun X =>
% 3.66/3.85 Not
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p16 Y)))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p14 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y))))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p15 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p13 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p11 Y))))))
% 3.66/3.85 True
% 3.66/3.85 Clause #3 (by clausification #[1]): Eq
% 3.66/3.85 (Not
% 3.66/3.85 (Exists fun X =>
% 3.66/3.85 Not
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p16 Y))) (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p14 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y))))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p15 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p13 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p11 Y)))))
% 3.66/3.85 False
% 3.66/3.85 Clause #4 (by clausification #[3]): Eq
% 3.66/3.85 (Exists fun X =>
% 3.66/3.85 Not
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p16 Y))) (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p14 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y))))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p15 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p13 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p12 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 X Y)) (p11 Y))))
% 3.66/3.85 True
% 3.66/3.85 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 3.66/3.85 Eq
% 3.66/3.85 (Not
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p16 Y)))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p14 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p15 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p13 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p11 Y))))
% 3.66/3.85 True
% 3.66/3.85 Clause #6 (by clausification #[5]): ∀ (a : Iota),
% 3.66/3.85 Eq
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p16 Y)))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p14 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p15 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p13 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p11 Y)))
% 3.66/3.85 False
% 3.66/3.85 Clause #8 (by clausification #[6]): ∀ (a : Iota),
% 3.66/3.85 Eq
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or
% 3.66/3.85 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p16 Y)))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p14 Y))))
% 3.66/3.85 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p15 Y)))
% 3.66/3.85 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p13 Y)))
% 3.66/3.87 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y)))
% 3.66/3.87 False
% 3.66/3.87 Clause #14 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y)) False
% 3.66/3.87 Clause #15 (by clausification #[8]): ∀ (a : Iota),
% 3.66/3.87 Eq
% 3.66/3.87 (Or
% 3.66/3.87 (Or
% 3.66/3.87 (Or
% 3.66/3.87 (Or
% 3.66/3.87 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p16 Y)))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p14 Y))))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.87 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p15 Y)))
% 3.66/3.87 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p13 Y)))
% 3.66/3.87 False
% 3.66/3.87 Clause #16 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 0 a) (skS.0 2 a a_1))) (p12 (skS.0 2 a a_1)))) True
% 3.66/3.87 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 0 a) (skS.0 2 a a_1))) (p12 (skS.0 2 a a_1))) False
% 3.66/3.87 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (p12 (skS.0 2 a a_1)) False
% 3.66/3.87 Clause #19 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 0 a) (skS.0 2 a a_1))) False
% 3.66/3.87 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 0 a) (skS.0 2 a a_1)) True
% 3.66/3.87 Clause #22 (by clausification #[15]): ∀ (a : Iota),
% 3.66/3.87 Eq
% 3.66/3.87 (Or
% 3.66/3.87 (Or
% 3.66/3.87 (Or
% 3.66/3.87 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p16 Y)))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p14 Y))))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.87 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p15 Y)))
% 3.66/3.87 False
% 3.66/3.87 Clause #29 (by clausification #[22]): ∀ (a : Iota),
% 3.66/3.87 Eq
% 3.66/3.87 (Or
% 3.66/3.87 (Or
% 3.66/3.87 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p16 Y)))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p14 Y))))
% 3.66/3.87 (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))))
% 3.66/3.87 False
% 3.66/3.87 Clause #35 (by clausification #[29]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y))) False
% 3.66/3.87 Clause #37 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (p12 Y)) True
% 3.66/3.87 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 0 a) a_1)) (p12 a_1)) True
% 3.66/3.87 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (Not (r1 (skS.0 0 a) a_1)) True) (Eq (p12 a_1) True)
% 3.66/3.87 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (p12 a) True) (Eq (r1 (skS.0 0 a_1) a) False)
% 3.66/3.87 Clause #42 (by superposition #[40, 20]): ∀ (a a_1 : Iota), Or (Eq (p12 (skS.0 2 a a_1)) True) (Eq False True)
% 3.66/3.87 Clause #66 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (p12 (skS.0 2 a a_1)) True
% 3.66/3.87 Clause #67 (by superposition #[66, 18]): Eq True False
% 3.66/3.87 Clause #68 (by clausification #[67]): False
% 3.66/3.87 SZS output end Proof for theBenchmark.p
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