%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL756_5 : TPTP v9.3.1. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 8.90s 9.17s % Output : Proof 8.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL756_5 : TPTP v9.3.1. Released v6.0.0. % 0.00/0.04 % Command : duper %s % 0.11/0.38 % Computer : n028.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 5 13:46:59 UTC 2026 % 0.11/0.38 % CPUTime : % 8.90/9.17 SZS status Theorem for theBenchmark.p % 8.90/9.17 SZS output start Proof for theBenchmark.p % 8.90/9.17 Clause #111 (by assumption #[]): Eq (∀ (I J : nat), it (subst ra (var I) J)) True % 8.90/9.17 Clause #112 (by assumption #[]): Eq (Not (it (subst ra (var (suc ia)) (suc ja)))) True % 8.90/9.17 Clause #272 (by clausification #[111]): ∀ (a : nat), Eq (∀ (J : nat), it (subst ra (var a) J)) True % 8.90/9.17 Clause #273 (by clausification #[272]): ∀ (a a_1 : nat), Eq (it (subst ra (var a) a_1)) True % 8.90/9.17 Clause #275 (by clausification #[112]): Eq (it (subst ra (var (suc ia)) (suc ja))) False % 8.90/9.17 Clause #276 (by superposition #[275, 273]): Eq False True % 8.90/9.17 Clause #285 (by clausification #[276]): False % 8.90/9.17 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------