%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO096^5 : TPTP v9.2.0. Released v4.0.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 08:08:35 PM UTC 2025 % Result : Theorem 3.47s 3.67s % Output : Proof 3.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO096^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.14/0.33 % Computer : n028.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 13:46:08 EDT 2025 % 0.14/0.34 % CPUTime : % 3.47/3.67 SZS status Theorem for theBenchmark.p % 3.47/3.67 SZS output start Proof for theBenchmark.p % 3.47/3.67 Clause #0 (by assumption #[]): Eq % 3.47/3.67 (Not % 3.47/3.67 (And (And (cR cA cB) (∀ (X : Iota), (Exists fun Y => cR X Y) → cQ X X)) % 3.47/3.67 (∀ (U V : Iota), cQ U V → ∀ (Z : Iota), cR Z V) → % 3.47/3.67 Exists fun W => And (cR cB W) (cQ W cA))) % 3.47/3.67 True % 3.47/3.67 Clause #1 (by betaEtaReduce #[0]): Eq % 3.47/3.67 (Not % 3.47/3.67 (And (And (cR cA cB) (∀ (X : Iota), Exists (cR X) → cQ X X)) (∀ (U V : Iota), cQ U V → ∀ (Z : Iota), cR Z V) → % 3.47/3.67 Exists fun W => And (cR cB W) (cQ W cA))) % 3.47/3.67 True % 3.47/3.67 Clause #2 (by clausification #[1]): Eq % 3.47/3.67 (And (And (cR cA cB) (∀ (X : Iota), Exists (cR X) → cQ X X)) (∀ (U V : Iota), cQ U V → ∀ (Z : Iota), cR Z V) → % 3.47/3.67 Exists fun W => And (cR cB W) (cQ W cA)) % 3.47/3.67 False % 3.47/3.67 Clause #3 (by clausification #[2]): Eq (And (And (cR cA cB) (∀ (X : Iota), Exists (cR X) → cQ X X)) (∀ (U V : Iota), cQ U V → ∀ (Z : Iota), cR Z V)) True % 3.47/3.67 Clause #4 (by clausification #[2]): Eq (Exists fun W => And (cR cB W) (cQ W cA)) False % 3.47/3.67 Clause #5 (by clausification #[3]): Eq (∀ (U V : Iota), cQ U V → ∀ (Z : Iota), cR Z V) True % 3.47/3.67 Clause #6 (by clausification #[3]): Eq (And (cR cA cB) (∀ (X : Iota), Exists (cR X) → cQ X X)) True % 3.47/3.67 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (V : Iota), cQ a V → ∀ (Z : Iota), cR Z V) True % 3.47/3.67 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (cQ a a_1 → ∀ (Z : Iota), cR Z a_1) True % 3.47/3.67 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) False) (Eq (∀ (Z : Iota), cR Z a_1) True) % 3.47/3.67 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ a a_1) False) (Eq (cR a_2 a_1) True) % 3.47/3.67 Clause #11 (by clausification #[6]): Eq (∀ (X : Iota), Exists (cR X) → cQ X X) True % 3.47/3.67 Clause #12 (by clausification #[6]): Eq (cR cA cB) True % 3.47/3.67 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (Exists (cR a) → cQ a a) True % 3.47/3.67 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (Exists (cR a)) False) (Eq (cQ a a) True) % 3.47/3.67 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (cQ a a) True) (Eq (cR a a_1) False) % 3.47/3.67 Clause #16 (by superposition #[12, 15]): Or (Eq (cQ cA cA) True) (Eq False True) % 3.47/3.67 Clause #17 (by clausification #[16]): Eq (cQ cA cA) True % 3.47/3.67 Clause #18 (by superposition #[17, 10]): ∀ (a : Iota), Or (Eq True False) (Eq (cR a cA) True) % 3.47/3.67 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (cR a cA) True % 3.47/3.67 Clause #21 (by clausification #[4]): ∀ (a : Iota), Eq (And (cR cB a) (cQ a cA)) False % 3.47/3.67 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (cR cB a) False) (Eq (cQ a cA) False) % 3.47/3.67 Clause #23 (by superposition #[22, 19]): Or (Eq (cQ cA cA) False) (Eq False True) % 3.47/3.67 Clause #24 (by clausification #[23]): Eq (cQ cA cA) False % 3.47/3.67 Clause #25 (by superposition #[24, 17]): Eq False True % 3.47/3.67 Clause #26 (by clausification #[25]): False % 3.47/3.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------