%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN356^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 08:07:29 PM UTC 2025 % Result : Theorem 3.63s 3.83s % Output : Proof 3.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYN356^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.15 % Command : duper %s % 0.14/0.36 % Computer : n006.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 : Thu Oct 2 15:21:38 EDT 2025 % 0.14/0.36 % CPUTime : % 3.63/3.83 SZS status Theorem for theBenchmark.p % 3.63/3.83 SZS output start Proof for theBenchmark.p % 3.63/3.83 Clause #0 (by assumption #[]): Eq % 3.63/3.83 (Not % 3.63/3.83 (And (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) (∀ (U V : Iota), cQ U V → cQ U U) → % 3.63/3.83 And (cQ cA cA) (cQ cB cB))) % 3.63/3.83 True % 3.63/3.83 Clause #1 (by clausification #[0]): Eq % 3.63/3.83 (And (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) (∀ (U V : Iota), cQ U V → cQ U U) → % 3.63/3.83 And (cQ cA cA) (cQ cB cB)) % 3.63/3.83 False % 3.63/3.83 Clause #2 (by clausification #[1]): Eq (And (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) (∀ (U V : Iota), cQ U V → cQ U U)) True % 3.63/3.83 Clause #3 (by clausification #[1]): Eq (And (cQ cA cA) (cQ cB cB)) False % 3.63/3.83 Clause #4 (by clausification #[2]): Eq (∀ (U V : Iota), cQ U V → cQ U U) True % 3.63/3.83 Clause #5 (by clausification #[2]): Eq (And (cR cA cB) (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y))) True % 3.63/3.83 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (V : Iota), cQ a V → cQ a a) True % 3.63/3.83 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (cQ a a_1 → cQ a a) True % 3.63/3.83 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) False) (Eq (cQ a a) True) % 3.63/3.83 Clause #9 (by clausification #[3]): Or (Eq (cQ cA cA) False) (Eq (cQ cB cB) False) % 3.63/3.83 Clause #10 (by clausification #[5]): Eq (∀ (X Y : Iota), cR X Y → And (cR Y X) (cQ X Y)) True % 3.63/3.83 Clause #11 (by clausification #[5]): Eq (cR cA cB) True % 3.63/3.83 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y : Iota), cR a Y → And (cR Y a) (cQ a Y)) True % 3.63/3.83 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (cR a a_1 → And (cR a_1 a) (cQ a a_1)) True % 3.63/3.83 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (cR a a_1) False) (Eq (And (cR a_1 a) (cQ a a_1)) True) % 3.63/3.83 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (cR a a_1) False) (Eq (cQ a a_1) True) % 3.63/3.83 Clause #16 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (cR a a_1) False) (Eq (cR a_1 a) True) % 3.63/3.83 Clause #17 (by superposition #[11, 15]): Or (Eq (cQ cA cB) True) (Eq False True) % 3.63/3.83 Clause #18 (by clausification #[17]): Eq (cQ cA cB) True % 3.63/3.83 Clause #19 (by superposition #[18, 8]): Or (Eq True False) (Eq (cQ cA cA) True) % 3.63/3.83 Clause #20 (by superposition #[16, 11]): Or (Eq (cR cB cA) True) (Eq False True) % 3.63/3.83 Clause #21 (by clausification #[20]): Eq (cR cB cA) True % 3.63/3.83 Clause #22 (by superposition #[21, 15]): Or (Eq True False) (Eq (cQ cB cA) True) % 3.63/3.83 Clause #24 (by clausification #[22]): Eq (cQ cB cA) True % 3.63/3.83 Clause #25 (by superposition #[24, 8]): Or (Eq True False) (Eq (cQ cB cB) True) % 3.63/3.83 Clause #26 (by clausification #[25]): Eq (cQ cB cB) True % 3.63/3.83 Clause #27 (by clausification #[19]): Eq (cQ cA cA) True % 3.63/3.83 Clause #28 (by backward demodulation #[27, 9]): Or (Eq True False) (Eq (cQ cB cB) False) % 3.63/3.83 Clause #29 (by clausification #[28]): Eq (cQ cB cB) False % 3.63/3.83 Clause #30 (by superposition #[29, 26]): Eq False True % 3.63/3.83 Clause #31 (by clausification #[30]): False % 3.63/3.83 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------