%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV012^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 : Fri Oct 3 08:02:44 PM UTC 2025 % Result : Theorem 3.50s 3.72s % Output : Proof 3.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEV012^5 : TPTP v9.2.0. Released v4.0.0. % 0.14/0.14 % Command : duper %s % 0.14/0.36 % Computer : n015.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 Oct 3 01:29:38 EDT 2025 % 0.14/0.36 % CPUTime : % 3.50/3.72 SZS status Theorem for theBenchmark.p % 3.50/3.72 SZS output start Proof for theBenchmark.p % 3.50/3.72 Clause #0 (by assumption #[]): Eq % 3.50/3.72 (Not % 3.50/3.72 (And (And (Prop → Prop → True → True) (Prop → Prop → Prop → And True True → True)) % 3.50/3.72 (Eq (fun Xx Xy => True) fun Xx Xy => True))) % 3.50/3.72 True % 3.50/3.72 Clause #1 (by clausification #[0]): Eq % 3.50/3.72 (And (And (Prop → Prop → True → True) (Prop → Prop → Prop → And True True → True)) % 3.50/3.72 (Eq (fun Xx Xy => True) fun Xx Xy => True)) % 3.50/3.72 False % 3.50/3.72 Clause #2 (by clausification #[1]): Or (Eq (And (Prop → Prop → True → True) (Prop → Prop → Prop → And True True → True)) False) % 3.50/3.72 (Eq (Eq (fun Xx Xy => True) fun Xx Xy => True) False) % 3.50/3.72 Clause #3 (by clausification #[2]): Or (Eq (Eq (fun Xx Xy => True) fun Xx Xy => True) False) % 3.50/3.72 (Or (Eq (Prop → Prop → True → True) False) (Eq (Prop → Prop → Prop → And True True → True) False)) % 3.50/3.72 Clause #4 (by clausification #[3]): Or (Eq (Prop → Prop → True → True) False) % 3.50/3.72 (Or (Eq (Prop → Prop → Prop → And True True → True) False) (Ne (fun Xx Xy => True) fun Xx Xy => True)) % 3.50/3.72 Clause #5 (by clausification #[4]): Prop → % 3.50/3.72 Or (Eq (Prop → Prop → Prop → And True True → True) False) % 3.50/3.72 (Or (Ne (fun Xx Xy => True) fun Xx Xy => True) (Eq (Not (Prop → True → True)) True)) % 3.50/3.72 Clause #6 (by clausification #[5]): Prop → % 3.50/3.72 Or (Ne (fun Xx Xy => True) fun Xx Xy => True) % 3.50/3.72 (Or (Eq (Not (Prop → True → True)) True) (Eq (Not (Prop → Prop → And True True → True)) True)) % 3.50/3.72 Clause #7 (by clausification #[6]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) % 3.50/3.72 (Or (Eq (Not (Prop → Prop → And True True → True)) True) (Eq (Prop → True → True) False)) % 3.50/3.72 Clause #8 (by clausification #[7]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) % 3.50/3.72 (Or (Eq (Prop → True → True) False) (Eq (Prop → Prop → And True True → True) False)) % 3.50/3.72 Clause #9 (by clausification #[8]): Prop → % 3.50/3.72 Or (Ne (fun Xx Xy => True) fun Xx Xy => True) % 3.50/3.72 (Or (Eq (Prop → Prop → And True True → True) False) (Eq (Not (True → True)) True)) % 3.50/3.72 Clause #10 (by clausification #[9]): Prop → % 3.50/3.72 Or (Ne (fun Xx Xy => True) fun Xx Xy => True) % 3.50/3.72 (Or (Eq (Not (True → True)) True) (Eq (Not (Prop → And True True → True)) True)) % 3.50/3.72 Clause #11 (by clausification #[10]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) % 3.50/3.72 (Or (Eq (Not (Prop → And True True → True)) True) (Eq (True → True) False)) % 3.50/3.72 Clause #12 (by clausification #[11]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) (Or (Eq (True → True) False) (Eq (Prop → And True True → True) False)) % 3.50/3.72 Clause #14 (by clausification #[12]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) (Or (Eq (Prop → And True True → True) False) (Eq True False)) % 3.50/3.72 Clause #21 (by clausification #[14]): Prop → Or (Ne (fun Xx Xy => True) fun Xx Xy => True) (Or (Eq True False) (Eq (Not (And True True → True)) True)) % 3.50/3.72 Clause #22 (by clausification #[21]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) (Eq (Not (And True True → True)) True) % 3.50/3.72 Clause #23 (by clausification #[22]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) (Eq (And True True → True) False) % 3.50/3.72 Clause #25 (by clausification #[23]): Or (Ne (fun Xx Xy => True) fun Xx Xy => True) (Eq True False) % 3.50/3.72 Clause #26 (by clausification #[25]): Ne (fun Xx Xy => True) fun Xx Xy => True % 3.50/3.72 Clause #27 (by eliminate resolved literals #[26]): False % 3.50/3.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------