%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS135+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 07:52:41 PM UTC 2025 % Result : Theorem 7.00s 7.25s % Output : Proof 7.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.11 % Problem : KRS135+1 : TPTP v9.2.0. Released v3.1.0. % 0.10/0.12 % Command : duper %s % 0.10/0.33 % Computer : n005.cluster.edu % 0.10/0.33 % Model : x86_64 x86_64 % 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.33 % Memory : 8042.1875MB % 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.33 % CPULimit : 300 % 0.10/0.33 % WCLimit : 300 % 0.10/0.33 % DateTime : Thu Oct 2 10:23:38 EDT 2025 % 0.10/0.34 % CPUTime : % 7.00/7.25 SZS status Theorem for theBenchmark.p % 7.00/7.25 SZS output start Proof for theBenchmark.p % 7.00/7.25 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 7.00/7.25 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 7.00/7.25 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cowlThing X → ∀ (Y : Iota), rprop X Y → cA Y) True % 7.00/7.25 Clause #3 (by assumption #[]): Eq % 7.00/7.25 (Not % 7.00/7.25 (And % 7.00/7.25 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 7.00/7.25 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 7.00/7.25 (∀ (X Y : Iota), rprop X Y → cA Y))) % 7.00/7.25 True % 7.00/7.25 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (cowlThing a → ∀ (Y : Iota), rprop a Y → cA Y) True % 7.00/7.25 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y : Iota), rprop a Y → cA Y) True) % 7.00/7.25 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (cowlThing a) False) (Eq (rprop a a_1 → cA a_1) True) % 7.00/7.25 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (rprop a a_1) False) (Eq (cA a_1) True)) % 7.00/7.25 Clause #8 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 7.00/7.25 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 7.00/7.25 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 7.00/7.25 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 7.00/7.25 Clause #12 (by clausification #[10]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 7.00/7.25 Clause #14 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 7.00/7.25 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 7.00/7.25 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (cowlThing a) True % 7.00/7.25 Clause #17 (by clausification #[15]): ∀ (a : Iota), Eq (cowlNothing a) False % 7.00/7.25 Clause #18 (by backward demodulation #[16, 7]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (rprop a a_1) False) (Eq (cA a_1) True)) % 7.00/7.25 Clause #19 (by clausification #[3]): Eq % 7.00/7.25 (And % 7.00/7.25 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 7.00/7.25 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 7.00/7.25 (∀ (X Y : Iota), rprop X Y → cA Y)) % 7.00/7.25 False % 7.00/7.25 Clause #20 (by clausification #[19]): Or % 7.00/7.25 (Eq % 7.00/7.25 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 7.00/7.25 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 7.00/7.25 False) % 7.00/7.25 (Eq (∀ (X Y : Iota), rprop X Y → cA Y) False) % 7.00/7.25 Clause #21 (by clausification #[20]): Or (Eq (∀ (X Y : Iota), rprop X Y → cA Y) False) % 7.00/7.25 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 7.00/7.25 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)) % 7.00/7.25 Clause #22 (by clausification #[21]): ∀ (a : Iota), % 7.00/7.25 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 7.00/7.25 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 7.00/7.25 (Eq (Not (∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y)) True)) % 7.00/7.25 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), % 7.00/7.25 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 7.00/7.25 (Or (Eq (Not (∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y)) True) % 7.00/7.25 (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True)) % 7.00/7.25 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), % 7.00/7.25 Or (Eq (Not (∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y)) True) % 7.00/7.25 (Or (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True) % 7.00/7.25 (Eq (Not (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2))))) True)) % 7.00/7.25 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), % 7.00/7.25 Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True) % 7.00/7.25 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True) % 7.00/7.25 (Eq (∀ (Y : Iota), rprop (skS.0 0 a_2) Y → cA Y) False)) % 7.00/7.25 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), % 7.08/7.31 Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True) % 7.08/7.31 (Or (Eq (∀ (Y : Iota), rprop (skS.0 0 a_1) Y → cA Y) False) % 7.08/7.31 (Eq (And (cowlThing (skS.0 1 a_2)) (Not (cowlNothing (skS.0 1 a_2)))) False)) % 7.08/7.31 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), % 7.08/7.31 Or (Eq (∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y) False) % 7.08/7.31 (Or (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False) % 7.08/7.31 (Eq (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2)))) False)) % 7.08/7.31 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False) % 7.08/7.31 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False) % 7.08/7.31 (Eq (Not (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3))) True)) % 7.08/7.31 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False) % 7.08/7.31 (Or (Eq (Not (rprop (skS.0 0 a_1) (skS.0 3 a_1 a_2) → cA (skS.0 3 a_1 a_2))) True) % 7.08/7.31 (Or (Eq (cowlThing (skS.0 1 a_3)) False) (Eq (Not (cowlNothing (skS.0 1 a_3))) False))) % 7.08/7.31 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (Not (rprop (skS.0 0 a) (skS.0 3 a a_1) → cA (skS.0 3 a a_1))) True) % 7.08/7.31 (Or (Eq (cowlThing (skS.0 1 a_2)) False) % 7.08/7.31 (Or (Eq (Not (cowlNothing (skS.0 1 a_2))) False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a_3)) False) (Eq (Not (xsd_integer (skS.0 2 a_3))) False)))) % 7.08/7.31 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (Not (rprop (skS.0 0 a) (skS.0 3 a a_1) → cA (skS.0 3 a a_1))) True) % 7.08/7.31 (Or (Eq (cowlThing (skS.0 1 a_2)) False) % 7.08/7.31 (Or (Eq (Not (cowlNothing (skS.0 1 a_2))) False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a_3)) True) (Eq (Not (xsd_integer (skS.0 2 a_3))) True)))) % 7.08/7.31 Clause #32 (by clausification #[30]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.31 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 7.08/7.31 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 7.08/7.31 (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3)) False)))) % 7.08/7.31 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 7.08/7.31 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) % 7.08/7.31 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3)) False) % 7.08/7.31 (Eq (cowlNothing (skS.0 1 a)) True)))) % 7.08/7.31 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 7.08/7.31 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3)) False) % 7.08/7.31 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))) % 7.08/7.31 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 7.08/7.31 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.08/7.31 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True)))) % 7.08/7.31 Clause #36 (by clausification #[34]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a_1)) False) % 7.08/7.31 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.08/7.31 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 3 a_2 a_3)) False)))) % 7.08/7.31 Clause #37 (by forward demodulation #[35, 16]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq True False) % 7.08/7.31 (Or (Eq (xsd_string (skS.0 2 a)) False) % 7.08/7.31 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.08/7.31 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True)))) % 7.08/7.31 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (xsd_string (skS.0 2 a)) False) % 7.08/7.31 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.08/7.31 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True))) % 7.08/7.31 Clause #39 (by superposition #[38, 11]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.31 Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 7.08/7.36 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_1)) True)))) % 7.08/7.36 Clause #41 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (rprop a a_1) False) (Eq (cA a_1) True) % 7.08/7.36 Clause #42 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 7.08/7.36 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))) % 7.08/7.36 Clause #43 (by eliminate duplicate literals #[42]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True)) % 7.08/7.36 Clause #44 (by superposition #[43, 17]): ∀ (a a_1 a_2 : Iota), % 7.08/7.36 Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (rprop (skS.0 0 a_1) (skS.0 3 a_1 a_2)) True) (Eq True False)) % 7.08/7.36 Clause #46 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_1) (skS.0 3 a_1 a_2)) True) % 7.08/7.36 Clause #47 (by superposition #[46, 41]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq True False) (Eq (cA (skS.0 3 a_1 a_2)) True)) % 7.08/7.36 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 3 a_1 a_2)) True) % 7.08/7.36 Clause #49 (by clausification #[31]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.36 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False) % 7.08/7.36 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 7.08/7.36 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 7.08/7.36 (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3)) False)))) % 7.08/7.36 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.36 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 7.08/7.36 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) % 7.08/7.36 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3)) False) % 7.08/7.36 (Eq (cowlNothing (skS.0 1 a)) True)))) % 7.08/7.36 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.36 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 7.08/7.36 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3)) False) % 7.08/7.36 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))) % 7.08/7.36 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.36 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 7.08/7.36 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True)))) % 7.08/7.36 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (cowlThing (skS.0 1 a)) False) % 7.08/7.36 (Or (Eq (xsd_string (skS.0 2 a_1)) True) % 7.08/7.36 (Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 3 a_2 a_3)) False)))) % 7.08/7.36 Clause #54 (by forward demodulation #[52, 16]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq True False) % 7.08/7.36 (Or (Eq (xsd_string (skS.0 2 a)) True) % 7.08/7.36 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True)))) % 7.08/7.36 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.08/7.36 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True))) % 7.08/7.36 Clause #56 (by superposition #[55, 46]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 7.08/7.36 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.08/7.36 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.08/7.36 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) % 7.08/7.36 (Or (Eq False True) (Eq (rprop (skS.0 0 a_4) (skS.0 3 a_4 a_5)) True)))) % 7.08/7.36 Clause #59 (by forward demodulation #[53, 16]): ∀ (a a_1 a_2 a_3 : Iota), % 7.08/7.36 Or (Eq True False) % 7.08/7.36 (Or (Eq (xsd_string (skS.0 2 a)) True) % 7.08/7.36 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.08/7.36 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cA (skS.0 3 a_2 a_3)) False)))) % 7.22/7.42 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.42 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.22/7.42 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.22/7.42 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cA (skS.0 3 a_2 a_3)) False))) % 7.22/7.42 Clause #66 (by forward demodulation #[36, 16]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.42 Or (Eq True False) % 7.22/7.42 (Or (Eq (xsd_string (skS.0 2 a)) False) % 7.22/7.42 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.22/7.42 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 3 a_2 a_3)) False)))) % 7.22/7.42 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.42 Or (Eq (xsd_string (skS.0 2 a)) False) % 7.22/7.42 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.22/7.42 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 3 a_2 a_3)) False))) % 7.22/7.42 Clause #68 (by superposition #[67, 11]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.42 Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.22/7.42 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 7.22/7.42 (Or (Eq (cA (skS.0 3 a_2 a_3)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_1)) True)))) % 7.22/7.43 Clause #69 (by clausification #[56]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 7.22/7.43 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.22/7.43 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.22/7.43 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) (Eq (rprop (skS.0 0 a_4) (skS.0 3 a_4 a_5)) True))) % 7.22/7.43 Clause #74 (by equality factoring #[69]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.43 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.22/7.43 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Ne True True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True))) % 7.22/7.43 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.43 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.22/7.43 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.22/7.43 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) (Or (Eq True False) (Eq True False)))) % 7.22/7.43 Clause #77 (by clausification #[75]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.43 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.22/7.43 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) (Eq True False))) % 7.22/7.43 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.43 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.22/7.43 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True)) % 7.22/7.43 Clause #81 (by superposition #[78, 17]): ∀ (a a_1 a_2 : Iota), % 7.22/7.43 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (rprop (skS.0 0 a_1) (skS.0 3 a_1 a_2)) True) (Eq True False)) % 7.22/7.43 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_1) (skS.0 3 a_1 a_2)) True) % 7.22/7.43 Clause #86 (by superposition #[83, 41]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq True False) (Eq (cA (skS.0 3 a_1 a_2)) True)) % 7.22/7.43 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cA (skS.0 3 a_1 a_2)) True) % 7.22/7.43 Clause #89 (by superposition #[87, 12]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 3 a a_1)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 2 a_2)) False)) % 7.22/7.43 Clause #90 (by clausification #[89]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 3 a a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False) % 7.22/7.43 Clause #92 (by superposition #[90, 48]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cA (skS.0 3 a a_1)) True) (Or (Eq False True) (Eq (cA (skS.0 3 a_2 a_3)) True)) % 7.22/7.43 Clause #93 (by clausification #[92]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cA (skS.0 3 a a_1)) True) (Eq (cA (skS.0 3 a_2 a_3)) True) % 7.22/7.43 Clause #94 (by equality factoring #[93]): ∀ (a a_1 : Iota), Or (Ne True True) (Eq (cA (skS.0 3 a a_1)) True) % 7.22/7.43 Clause #96 (by clausification #[94]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 3 a a_1)) True) (Or (Eq True False) (Eq True False)) % 7.22/7.43 Clause #98 (by clausification #[96]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 3 a a_1)) True) (Eq True False) % 7.22/7.43 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota), Eq (cA (skS.0 3 a a_1)) True % 7.22/7.43 Clause #114 (by clausification #[68]): ∀ (a a_1 a_2 a_3 : Iota), % 7.22/7.43 Or (Eq (cowlNothing (skS.0 1 a)) True) % 7.22/7.43 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) % 7.22/7.43 (Or (Eq (cA (skS.0 3 a_2 a_3)) False) (Eq (xsd_integer (skS.0 2 a_1)) True))) % 7.22/7.43 Clause #115 (by eliminate duplicate literals #[114]): ∀ (a a_1 a_2 a_3 : Iota), % 7.24/7.45 Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 3 a_2 a_3)) False)) % 7.24/7.45 Clause #116 (by superposition #[115, 99]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq False True)) % 7.24/7.45 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True) % 7.24/7.45 Clause #118 (by superposition #[117, 17]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq True False) % 7.24/7.45 Clause #120 (by clausification #[118]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) True % 7.24/7.45 Clause #121 (by backward demodulation #[120, 60]): ∀ (a a_1 a_2 a_3 : Iota), % 7.24/7.45 Or (Eq (xsd_string (skS.0 2 a)) True) % 7.24/7.45 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq True False) (Eq (cA (skS.0 3 a_2 a_3)) False))) % 7.24/7.45 Clause #122 (by clausification #[121]): ∀ (a a_1 a_2 a_3 : Iota), % 7.24/7.45 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (cA (skS.0 3 a_2 a_3)) False)) % 7.24/7.45 Clause #123 (by superposition #[122, 99]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq False True)) % 7.24/7.45 Clause #124 (by clausification #[123]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 1 a_1)) True) % 7.24/7.45 Clause #126 (by superposition #[124, 17]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq True False) % 7.24/7.45 Clause #127 (by clausification #[126]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True % 7.24/7.45 Clause #128 (by superposition #[127, 12]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False) % 7.24/7.45 Clause #130 (by clausification #[128]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False % 7.24/7.45 Clause #131 (by superposition #[130, 120]): Eq False True % 7.24/7.45 Clause #132 (by clausification #[131]): False % 7.24/7.45 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------