%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:36:14 AM UTC 2026 % Result : Theorem 8.46s 8.76s % Output : Proof 8.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : duper %s % 0.10/0.36 % Computer : n016.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 12:31:15 UTC 2026 % 0.10/0.36 % CPUTime : % 8.46/8.76 SZS status Theorem for theBenchmark.p % 8.46/8.76 SZS output start Proof for theBenchmark.p % 8.46/8.76 Clause #0 (by assumption #[]): Eq % 8.46/8.76 (Not % 8.46/8.76 (Not % 8.46/8.76 (Exists fun X => % 8.46/8.76 Not % 8.46/8.76 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y))))) % 8.46/8.76 (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y)))))))) % 8.46/8.76 True % 8.46/8.76 Clause #1 (by clausification #[0]): Eq % 8.46/8.76 (Not % 8.46/8.76 (Exists fun X => % 8.46/8.76 Not % 8.46/8.76 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y))))) % 8.46/8.76 (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y))))))) % 8.46/8.76 False % 8.46/8.76 Clause #2 (by clausification #[1]): Eq % 8.46/8.76 (Exists fun X => % 8.46/8.76 Not % 8.46/8.76 (Or (Not (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y))))) % 8.46/8.76 (∀ (Y : Iota), Or (Not (r1 X Y)) (Not (And (p201 Y) (p101 Y)))))) % 8.46/8.76 True % 8.46/8.76 Clause #3 (by clausification #[2]): ∀ (a : Iota), % 8.46/8.76 Eq % 8.46/8.76 (Not % 8.46/8.76 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y))))) % 8.46/8.76 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y)))))) % 8.46/8.76 True % 8.46/8.76 Clause #4 (by clausification #[3]): ∀ (a : Iota), % 8.46/8.76 Eq % 8.46/8.76 (Or (Not (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y))))) % 8.46/8.76 (∀ (Y : Iota), Or (Not (r1 (skS.0 0 a) Y)) (Not (And (p201 Y) (p101 Y))))) % 8.46/8.76 False % 8.46/8.76 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 % 8.46/8.76 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 % 8.46/8.76 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), % 8.46/8.76 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 % 8.46/8.76 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), % 8.46/8.76 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 % 8.46/8.76 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 % 8.46/8.76 Clause #10 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 0 a) (skS.0 1 a a_1))) False % 8.46/8.76 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 % 8.46/8.76 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (p101 (skS.0 1 a a_1)) True % 8.46/8.76 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (p201 (skS.0 1 a a_1)) True % 8.46/8.76 Clause #14 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 0 a) (skS.0 1 a a_1)) True % 8.46/8.76 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 % 8.46/8.76 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 % 8.46/8.76 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) % 8.46/8.76 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) % 8.46/8.76 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) % 8.46/8.76 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)) % 8.46/8.76 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)) % 8.46/8.76 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) % 8.46/8.76 Clause #23 (by forward demodulation #[22, 13]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (p101 (skS.0 1 a a_1)) False) % 8.46/8.76 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (p101 (skS.0 1 a a_1)) False % 8.46/8.76 Clause #25 (by superposition #[24, 12]): Eq False True % 8.46/8.76 Clause #26 (by clausification #[25]): False % 8.46/8.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------