TSTP Solution File: LCL648+1.001 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : LCL648+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 07:10:25 EDT 2023
% Result : Theorem 3.78s 3.98s
% Output : Proof 3.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL648+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 03:07:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.78/3.98 SZS status Theorem for theBenchmark.p
% 3.78/3.98 SZS output start Proof for theBenchmark.p
% 3.78/3.98 Clause #0 (by assumption #[]): Eq
% 3.78/3.98 (Not
% 3.78/3.98 (Not
% 3.78/3.98 (Exists fun X =>
% 3.78/3.98 Not
% 3.78/3.98 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y)))))
% 3.78/3.98 (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y))))))))
% 3.78/3.98 True
% 3.78/3.98 Clause #1 (by clausification #[0]): Eq
% 3.78/3.98 (Not
% 3.78/3.98 (Exists fun X =>
% 3.78/3.98 Not
% 3.78/3.98 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y)))))
% 3.78/3.98 (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y)))))))
% 3.78/3.98 False
% 3.78/3.98 Clause #2 (by clausification #[1]): Eq
% 3.78/3.98 (Exists fun X =>
% 3.78/3.98 Not
% 3.78/3.98 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y)))))
% 3.78/3.98 (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y))))))
% 3.78/3.98 True
% 3.78/3.98 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.78/3.98 Eq
% 3.78/3.98 (Not
% 3.78/3.98 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y)))))
% 3.78/3.98 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y))))))
% 3.78/3.98 True
% 3.78/3.98 Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 3.78/3.98 Eq
% 3.78/3.98 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y)))))
% 3.78/3.98 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y)))))
% 3.78/3.98 False
% 3.78/3.98 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y)))) False
% 3.78/3.98 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y))))) False
% 3.78/3.98 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota),
% 3.78/3.98 Eq (Not (Or (Not (r1 (skS.0 0 a) (skS.0 1 a a_1))) (Not (And (p201 (skS.0 1 a a_1)) (p101 (skS.0 1 a a_1)))))) True
% 3.78/3.98 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 3.78/3.98 Eq (Or (Not (r1 (skS.0 0 a) (skS.0 1 a a_1))) (Not (And (p201 (skS.0 1 a a_1)) (p101 (skS.0 1 a a_1))))) False
% 3.78/3.98 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (Not (And (p201 (skS.0 1 a a_1)) (p101 (skS.0 1 a a_1)))) False
% 3.78/3.98 Clause #10 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.78/3.98 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (And (p201 (skS.0 1 a a_1)) (p101 (skS.0 1 a a_1))) True
% 3.78/3.98 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (p101 (skS.0 1 a a_1)) True
% 3.78/3.98 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (p201 (skS.0 1 a a_1)) True
% 3.78/3.98 Clause #14 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.78/3.98 Clause #15 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y)))) True
% 3.78/3.98 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 0 a) a_1)) (Not (And (p201 a_1) (p101 a_1)))) True
% 3.78/3.98 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (Not (r1 (skS.0 0 a) a_1)) True) (Eq (Not (And (p201 a_1) (p101 a_1))) True)
% 3.78/3.98 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (Not (And (p201 a) (p101 a))) True) (Eq (r1 (skS.0 0 a_1) a) False)
% 3.78/3.98 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (r1 (skS.0 0 a) a_1) False) (Eq (And (p201 a_1) (p101 a_1)) False)
% 3.78/3.98 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (r1 (skS.0 0 a) a_1) False) (Or (Eq (p201 a_1) False) (Eq (p101 a_1) False))
% 3.78/3.98 Clause #21 (by superposition #[20, 14]): ∀ (a a_1 : Iota), Or (Eq (p201 (skS.0 1 a a_1)) False) (Or (Eq (p101 (skS.0 1 a a_1)) False) (Eq False True))
% 3.78/3.98 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (p201 (skS.0 1 a a_1)) False) (Eq (p101 (skS.0 1 a a_1)) False)
% 3.78/3.98 Clause #23 (by forward demodulation #[22, 13]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (p101 (skS.0 1 a a_1)) False)
% 3.78/3.98 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (p101 (skS.0 1 a a_1)) False
% 3.78/3.98 Clause #25 (by superposition #[24, 12]): Eq False True
% 3.78/3.98 Clause #26 (by clausification #[25]): False
% 3.78/3.98 SZS output end Proof for theBenchmark.p
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