%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN367+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 08:07:31 PM UTC 2025 % Result : Theorem 3.66s 3.82s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN367+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.14 % Command : duper %s % 0.13/0.35 % Computer : n011.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 15:35:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.66/3.82 SZS status Theorem for theBenchmark.p % 3.66/3.82 SZS output start Proof for theBenchmark.p % 3.66/3.82 Clause #0 (by assumption #[]): Eq % 3.66/3.82 (Not % 3.66/3.82 ((∀ (X : Iota), Or (And p (big_q X)) (And (Not p) (big_r X))) → Or (∀ (X : Iota), big_q X) (∀ (X : Iota), big_r X))) % 3.66/3.82 True % 3.66/3.82 Clause #1 (by clausification #[0]): Eq ((∀ (X : Iota), Or (And p (big_q X)) (And (Not p) (big_r X))) → Or (∀ (X : Iota), big_q X) (∀ (X : Iota), big_r X)) % 3.66/3.82 False % 3.66/3.82 Clause #2 (by clausification #[1]): Eq (∀ (X : Iota), Or (And p (big_q X)) (And (Not p) (big_r X))) True % 3.66/3.82 Clause #3 (by clausification #[1]): Eq (Or (∀ (X : Iota), big_q X) (∀ (X : Iota), big_r X)) False % 3.66/3.82 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (Or (And p (big_q a)) (And (Not p) (big_r a))) True % 3.66/3.82 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (And p (big_q a)) True) (Eq (And (Not p) (big_r a)) True) % 3.66/3.82 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (And (Not p) (big_r a)) True) (Eq (big_q a) True) % 3.66/3.82 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (And (Not p) (big_r a)) True) (Eq p True) % 3.66/3.82 Clause #9 (by clausification #[6]): ∀ (a : Iota), Or (Eq (big_q a) True) (Eq (Not p) True) % 3.66/3.82 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (big_q a) True) (Eq p False) % 3.66/3.82 Clause #11 (by clausification #[7]): ∀ (a : Iota), Or (Eq p True) (Eq (big_r a) True) % 3.66/3.82 Clause #14 (by clausification #[3]): Eq (∀ (X : Iota), big_r X) False % 3.66/3.82 Clause #15 (by clausification #[3]): Eq (∀ (X : Iota), big_q X) False % 3.66/3.82 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (Not (big_r (skS.0 0 a))) True % 3.66/3.82 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (big_r (skS.0 0 a)) False % 3.66/3.82 Clause #19 (by superposition #[17, 11]): Or (Eq p True) (Eq False True) % 3.66/3.82 Clause #20 (by clausification #[15]): ∀ (a : Iota), Eq (Not (big_q (skS.0 1 a))) True % 3.66/3.82 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (big_q (skS.0 1 a)) False % 3.66/3.82 Clause #22 (by clausification #[19]): Eq p True % 3.66/3.82 Clause #23 (by backward demodulation #[22, 10]): ∀ (a : Iota), Or (Eq (big_q a) True) (Eq True False) % 3.66/3.82 Clause #25 (by clausification #[23]): ∀ (a : Iota), Eq (big_q a) True % 3.66/3.82 Clause #26 (by superposition #[25, 21]): Eq True False % 3.66/3.82 Clause #27 (by clausification #[26]): False % 3.66/3.82 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------