%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL755_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 11:36:34 AM UTC 2026 % Result : Theorem 10.37s 10.65s % Output : Proof 10.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL755_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.05 % Command : duper %s % 0.11/0.36 % Computer : n017.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 06:54:36 UTC 2026 % 0.11/0.37 % CPUTime : % 10.37/10.65 SZS status Theorem for theBenchmark.p % 10.37/10.65 SZS output start Proof for theBenchmark.p % 10.37/10.65 Clause #0 (by assumption #[]): Eq (∀ (R : dB), it R → it (abs R)) True % 10.37/10.65 Clause #108 (by assumption #[]): Eq (∀ (I J : nat), it (subst ra (var I) J)) True % 10.37/10.65 Clause #109 (by assumption #[]): Eq (Not (it (abs (subst ra (var (suc ia)) (suc ja))))) True % 10.37/10.65 Clause #110 (by clausification #[0]): ∀ (a : dB), Eq (it a → it (abs a)) True % 10.37/10.65 Clause #111 (by clausification #[110]): ∀ (a : dB), Or (Eq (it a) False) (Eq (it (abs a)) True) % 10.37/10.65 Clause #235 (by clausification #[108]): ∀ (a : nat), Eq (∀ (J : nat), it (subst ra (var a) J)) True % 10.37/10.65 Clause #236 (by clausification #[235]): ∀ (a a_1 : nat), Eq (it (subst ra (var a) a_1)) True % 10.37/10.65 Clause #237 (by superposition #[236, 111]): ∀ (a a_1 : nat), Or (Eq True False) (Eq (it (abs (subst ra (var a) a_1))) True) % 10.37/10.65 Clause #296 (by clausification #[237]): ∀ (a a_1 : nat), Eq (it (abs (subst ra (var a) a_1))) True % 10.37/10.65 Clause #558 (by clausification #[109]): Eq (it (abs (subst ra (var (suc ia)) (suc ja)))) False % 10.37/10.65 Clause #559 (by superposition #[558, 296]): Eq False True % 10.37/10.65 Clause #576 (by clausification #[559]): False % 10.37/10.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------