%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO160^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 08:08:40 PM UTC 2025 % Result : Theorem 3.51s 3.70s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYO160^5 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 13:30:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.51/3.70 SZS status Theorem for theBenchmark.p % 3.51/3.70 SZS output start Proof for theBenchmark.p % 3.51/3.70 Clause #0 (by assumption #[]): Eq % 3.51/3.70 (Not % 3.51/3.70 (And (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx)) % 3.51/3.70 (∀ (Xx : Iota), cQ Xx → cR Xx) → % 3.51/3.70 And (And (cR a) (cR b)) (cR c))) % 3.51/3.70 True % 3.51/3.70 Clause #1 (by clausification #[0]): Eq % 3.51/3.70 (And (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx)) % 3.51/3.70 (∀ (Xx : Iota), cQ Xx → cR Xx) → % 3.51/3.70 And (And (cR a) (cR b)) (cR c)) % 3.51/3.70 False % 3.51/3.70 Clause #2 (by clausification #[1]): Eq % 3.51/3.70 (And (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx)) % 3.51/3.70 (∀ (Xx : Iota), cQ Xx → cR Xx)) % 3.51/3.70 True % 3.51/3.70 Clause #3 (by clausification #[1]): Eq (And (And (cR a) (cR b)) (cR c)) False % 3.51/3.70 Clause #4 (by clausification #[2]): Eq (∀ (Xx : Iota), cQ Xx → cR Xx) True % 3.51/3.70 Clause #5 (by clausification #[2]): Eq (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx)) True % 3.51/3.70 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (cQ a → cR a) True % 3.51/3.70 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (cQ a) False) (Eq (cR a) True) % 3.51/3.70 Clause #8 (by clausification #[3]): Or (Eq (And (cR a) (cR b)) False) (Eq (cR c) False) % 3.51/3.70 Clause #9 (by clausification #[8]): Or (Eq (cR c) False) (Or (Eq (cR a) False) (Eq (cR b) False)) % 3.51/3.70 Clause #10 (by clausification #[5]): Eq (∀ (Xx : Iota), cP Xx → cR Xx) True % 3.51/3.70 Clause #11 (by clausification #[5]): Eq (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) True % 3.51/3.70 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cP a → cR a) True % 3.51/3.70 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq (cR a) True) % 3.51/3.70 Clause #14 (by clausification #[11]): Or (Eq (∀ (Xx : Iota), cP Xx) True) (Eq (∀ (Xx : Iota), cQ Xx) True) % 3.51/3.70 Clause #15 (by clausification #[14]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cQ Xx) True) (Eq (cP a) True) % 3.51/3.70 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cQ a_1) True) % 3.51/3.70 Clause #18 (by superposition #[16, 7]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Or (Eq True False) (Eq (cR a_1) True)) % 3.51/3.70 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cR a_1) True) % 3.51/3.70 Clause #20 (by superposition #[19, 13]): ∀ (a a_1 : Iota), Or (Eq (cR a) True) (Or (Eq True False) (Eq (cR a_1) True)) % 3.51/3.70 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (cR a) True) (Eq (cR a_1) True) % 3.51/3.70 Clause #24 (by equality factoring #[22]): ∀ (a : Iota), Or (Ne True True) (Eq (cR a) True) % 3.51/3.70 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (cR a) True) (Or (Eq True False) (Eq True False)) % 3.51/3.70 Clause #27 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cR a) True) (Eq True False) % 3.51/3.70 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (cR a) True % 3.51/3.70 Clause #29 (by backward demodulation #[28, 9]): Or (Eq (cR c) False) (Or (Eq True False) (Eq (cR b) False)) % 3.51/3.70 Clause #35 (by clausification #[29]): Or (Eq (cR c) False) (Eq (cR b) False) % 3.51/3.70 Clause #36 (by forward demodulation #[35, 28]): Or (Eq (cR c) False) (Eq True False) % 3.51/3.70 Clause #37 (by clausification #[36]): Eq (cR c) False % 3.51/3.70 Clause #38 (by superposition #[37, 28]): Eq False True % 3.51/3.70 Clause #39 (by clausification #[38]): False % 3.51/3.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------