%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NLP141+1 : TPTP v9.2.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 07:55:43 PM UTC 2025 % Result : Theorem 13.28s 13.48s % Output : Proof 13.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NLP141+1 : TPTP v9.2.0. Released v2.4.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n007.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 : Thu Oct 2 09:54:38 EDT 2025 % 0.13/0.34 % CPUTime : % 13.28/13.48 SZS status Theorem for theBenchmark.p % 13.28/13.48 SZS output start Proof for theBenchmark.p % 13.28/13.48 Clause #0 (by assumption #[]): Eq (∀ (U V : Iota), furniture U V → instrumentality U V) True % 13.28/13.48 Clause #1 (by assumption #[]): Eq (∀ (U V : Iota), seat U V → furniture U V) True % 13.28/13.48 Clause #2 (by assumption #[]): Eq (∀ (U V : Iota), frontseat U V → seat U V) True % 13.28/13.48 Clause #15 (by assumption #[]): Eq (∀ (U V : Iota), object U V → unisex U V) True % 13.28/13.48 Clause #19 (by assumption #[]): Eq (∀ (U V : Iota), artifact U V → object U V) True % 13.28/13.48 Clause #20 (by assumption #[]): Eq (∀ (U V : Iota), instrumentality U V → artifact U V) True % 13.28/13.48 Clause #36 (by assumption #[]): Eq (∀ (U V : Iota), man U V → male U V) True % 13.28/13.48 Clause #48 (by assumption #[]): Eq (∀ (U V : Iota), fellow U V → man U V) True % 13.28/13.48 Clause #55 (by assumption #[]): Eq (∀ (U V : Iota), unisex U V → Not (male U V)) True % 13.28/13.48 Clause #58 (by assumption #[]): Eq (∀ (U V W X : Iota), be U V W X → Eq W X) True % 13.28/13.48 Clause #59 (by assumption #[]): Eq % 13.28/13.48 (∀ (U V : Iota), % 13.28/13.48 Iff (two U V) % 13.28/13.48 (Exists fun W => % 13.28/13.48 And (member U W V) % 13.28/13.48 (Exists fun X => And (And (member U X V) (Ne X W)) (∀ (Y : Iota), member U Y V → Or (Eq Y X) (Eq Y W))))) % 13.28/13.48 True % 13.28/13.48 Clause #61 (by assumption #[]): Eq % 13.28/13.48 (Not % 13.28/13.48 (Not % 13.28/13.48 (Exists fun U => % 13.28/13.48 And (actual_world U) % 13.28/13.48 (Exists fun V => % 13.28/13.48 Exists fun W => % 13.28/13.48 Exists fun X => % 13.28/13.48 Exists fun Y => % 13.28/13.48 Exists fun Z => % 13.28/13.48 And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And % 13.28/13.48 (And (And (And (And (chevy U V) (white U V)) (dirty U V)) (old U V)) % 13.28/13.48 (of U W X)) % 13.28/13.48 (city U X)) % 13.28/13.48 (hollywood_placename U W)) % 13.28/13.48 (placename U W)) % 13.28/13.48 (street U X)) % 13.28/13.48 (lonely U X)) % 13.28/13.48 (event U Y)) % 13.28/13.48 (agent U Y V)) % 13.28/13.48 (present U Y)) % 13.28/13.48 (barrel U Y)) % 13.28/13.48 (down U Y X)) % 13.28/13.48 (in U Y X)) % 13.28/13.48 (∀ (X1 : Iota), % 13.28/13.48 member U X1 Z → % 13.28/13.48 Exists fun X2 => % 13.28/13.48 Exists fun X3 => % 13.28/13.48 And (And (And (frontseat U X3) (state U X2)) (be U X2 X1 X3)) (in U X3 X3))) % 13.28/13.48 (two U Z)) % 13.28/13.48 (group U Z)) % 13.28/13.48 (∀ (X4 : Iota), member U X4 Z → And (fellow U X4) (young U X4)))))) % 13.28/13.48 True % 13.28/13.48 Clause #62 (by clausification #[48]): ∀ (a : Iota), Eq (∀ (V : Iota), fellow a V → man a V) True % 13.28/13.48 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Eq (fellow a a_1 → man a a_1) True % 13.28/13.48 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (fellow a a_1) False) (Eq (man a a_1) True) % 13.28/13.48 Clause #77 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (V : Iota), furniture a V → instrumentality a V) True % 13.28/13.48 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), Eq (furniture a a_1 → instrumentality a a_1) True % 13.28/13.48 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (furniture a a_1) False) (Eq (instrumentality a a_1) True) % 13.28/13.48 Clause #95 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (V : Iota), seat a V → furniture a V) True % 13.28/13.48 Clause #96 (by clausification #[95]): ∀ (a a_1 : Iota), Eq (seat a a_1 → furniture a a_1) True % 13.28/13.50 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota), Or (Eq (seat a a_1) False) (Eq (furniture a a_1) True) % 13.28/13.50 Clause #101 (by clausification #[36]): ∀ (a : Iota), Eq (∀ (V : Iota), man a V → male a V) True % 13.28/13.50 Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota), Eq (man a a_1 → male a a_1) True % 13.28/13.50 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota), Or (Eq (man a a_1) False) (Eq (male a a_1) True) % 13.28/13.50 Clause #113 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (V : Iota), frontseat a V → seat a V) True % 13.28/13.50 Clause #114 (by clausification #[113]): ∀ (a a_1 : Iota), Eq (frontseat a a_1 → seat a a_1) True % 13.28/13.50 Clause #115 (by clausification #[114]): ∀ (a a_1 : Iota), Or (Eq (frontseat a a_1) False) (Eq (seat a a_1) True) % 13.28/13.50 Clause #152 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (V : Iota), object a V → unisex a V) True % 13.28/13.50 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (object a a_1 → unisex a a_1) True % 13.28/13.50 Clause #154 (by clausification #[153]): ∀ (a a_1 : Iota), Or (Eq (object a a_1) False) (Eq (unisex a a_1) True) % 13.28/13.50 Clause #188 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (V : Iota), artifact a V → object a V) True % 13.28/13.50 Clause #189 (by clausification #[188]): ∀ (a a_1 : Iota), Eq (artifact a a_1 → object a a_1) True % 13.28/13.50 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Or (Eq (artifact a a_1) False) (Eq (object a a_1) True) % 13.28/13.50 Clause #203 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (V : Iota), instrumentality a V → artifact a V) True % 13.28/13.50 Clause #204 (by clausification #[203]): ∀ (a a_1 : Iota), Eq (instrumentality a a_1 → artifact a a_1) True % 13.28/13.50 Clause #205 (by clausification #[204]): ∀ (a a_1 : Iota), Or (Eq (instrumentality a a_1) False) (Eq (artifact a a_1) True) % 13.28/13.50 Clause #221 (by clausification #[55]): ∀ (a : Iota), Eq (∀ (V : Iota), unisex a V → Not (male a V)) True % 13.28/13.50 Clause #222 (by clausification #[221]): ∀ (a a_1 : Iota), Eq (unisex a a_1 → Not (male a a_1)) True % 13.28/13.50 Clause #223 (by clausification #[222]): ∀ (a a_1 : Iota), Or (Eq (unisex a a_1) False) (Eq (Not (male a a_1)) True) % 13.28/13.50 Clause #224 (by clausification #[223]): ∀ (a a_1 : Iota), Or (Eq (unisex a a_1) False) (Eq (male a a_1) False) % 13.28/13.50 Clause #244 (by clausification #[58]): ∀ (a : Iota), Eq (∀ (V W X : Iota), be a V W X → Eq W X) True % 13.28/13.50 Clause #245 (by clausification #[244]): ∀ (a a_1 : Iota), Eq (∀ (W X : Iota), be a a_1 W X → Eq W X) True % 13.28/13.50 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 : Iota), Eq (∀ (X : Iota), be a a_1 a_2 X → Eq a_2 X) True % 13.28/13.50 Clause #247 (by clausification #[246]): ∀ (a a_1 a_2 a_3 : Iota), Eq (be a a_1 a_2 a_3 → Eq a_2 a_3) True % 13.28/13.50 Clause #248 (by clausification #[247]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (be a a_1 a_2 a_3) False) (Eq (Eq a_2 a_3) True) % 13.28/13.50 Clause #249 (by clausification #[248]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (be a a_1 a_2 a_3) False) (Eq a_2 a_3) % 13.28/13.50 Clause #261 (by clausification #[59]): ∀ (a : Iota), % 13.28/13.50 Eq % 13.28/13.50 (∀ (V : Iota), % 13.28/13.50 Iff (two a V) % 13.28/13.50 (Exists fun W => % 13.28/13.50 And (member a W V) % 13.28/13.50 (Exists fun X => And (And (member a X V) (Ne X W)) (∀ (Y : Iota), member a Y V → Or (Eq Y X) (Eq Y W))))) % 13.28/13.50 True % 13.28/13.50 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota), % 13.28/13.50 Eq % 13.28/13.50 (Iff (two a a_1) % 13.28/13.50 (Exists fun W => % 13.28/13.50 And (member a W a_1) % 13.28/13.50 (Exists fun X => And (And (member a X a_1) (Ne X W)) (∀ (Y : Iota), member a Y a_1 → Or (Eq Y X) (Eq Y W))))) % 13.28/13.50 True % 13.28/13.50 Clause #264 (by clausification #[262]): ∀ (a a_1 : Iota), % 13.28/13.50 Or (Eq (two a a_1) False) % 13.28/13.50 (Eq % 13.28/13.50 (Exists fun W => % 13.28/13.50 And (member a W a_1) % 13.28/13.50 (Exists fun X => And (And (member a X a_1) (Ne X W)) (∀ (Y : Iota), member a Y a_1 → Or (Eq Y X) (Eq Y W)))) % 13.28/13.50 True) % 13.28/13.50 Clause #275 (by clausification #[264]): ∀ (a a_1 a_2 : Iota), % 13.28/13.50 Or (Eq (two a a_1) False) % 13.28/13.50 (Eq % 13.28/13.50 (And (member a (skS.0 1 a a_1 a_2) a_1) % 13.28/13.50 (Exists fun X => % 13.28/13.50 And (And (member a X a_1) (Ne X (skS.0 1 a a_1 a_2))) % 13.28/13.50 (∀ (Y : Iota), member a Y a_1 → Or (Eq Y X) (Eq Y (skS.0 1 a a_1 a_2))))) % 13.35/13.51 True) % 13.35/13.51 Clause #277 (by clausification #[275]): ∀ (a a_1 a_2 : Iota), Or (Eq (two a a_1) False) (Eq (member a (skS.0 1 a a_1 a_2) a_1) True) % 13.35/13.51 Clause #289 (by clausification #[61]): Eq % 13.35/13.51 (Not % 13.35/13.51 (Exists fun U => % 13.35/13.51 And (actual_world U) % 13.35/13.51 (Exists fun V => % 13.35/13.51 Exists fun W => % 13.35/13.51 Exists fun X => % 13.35/13.51 Exists fun Y => % 13.35/13.51 Exists fun Z => % 13.35/13.51 And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And (And (And (And (chevy U V) (white U V)) (dirty U V)) (old U V)) % 13.35/13.51 (of U W X)) % 13.35/13.51 (city U X)) % 13.35/13.51 (hollywood_placename U W)) % 13.35/13.51 (placename U W)) % 13.35/13.51 (street U X)) % 13.35/13.51 (lonely U X)) % 13.35/13.51 (event U Y)) % 13.35/13.51 (agent U Y V)) % 13.35/13.51 (present U Y)) % 13.35/13.51 (barrel U Y)) % 13.35/13.51 (down U Y X)) % 13.35/13.51 (in U Y X)) % 13.35/13.51 (∀ (X1 : Iota), % 13.35/13.51 member U X1 Z → % 13.35/13.51 Exists fun X2 => % 13.35/13.51 Exists fun X3 => % 13.35/13.51 And (And (And (frontseat U X3) (state U X2)) (be U X2 X1 X3)) (in U X3 X3))) % 13.35/13.51 (two U Z)) % 13.35/13.51 (group U Z)) % 13.35/13.51 (∀ (X4 : Iota), member U X4 Z → And (fellow U X4) (young U X4))))) % 13.35/13.51 False % 13.35/13.51 Clause #290 (by clausification #[289]): Eq % 13.35/13.51 (Exists fun U => % 13.35/13.51 And (actual_world U) % 13.35/13.51 (Exists fun V => % 13.35/13.51 Exists fun W => % 13.35/13.51 Exists fun X => % 13.35/13.51 Exists fun Y => % 13.35/13.51 Exists fun Z => % 13.35/13.51 And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And % 13.35/13.51 (And (And (And (And (chevy U V) (white U V)) (dirty U V)) (old U V)) % 13.35/13.51 (of U W X)) % 13.35/13.51 (city U X)) % 13.35/13.51 (hollywood_placename U W)) % 13.35/13.51 (placename U W)) % 13.35/13.51 (street U X)) % 13.35/13.51 (lonely U X)) % 13.35/13.51 (event U Y)) % 13.35/13.51 (agent U Y V)) % 13.35/13.51 (present U Y)) % 13.35/13.51 (barrel U Y)) % 13.35/13.51 (down U Y X)) % 13.35/13.51 (in U Y X)) % 13.35/13.51 (∀ (X1 : Iota), % 13.35/13.51 member U X1 Z → % 13.35/13.51 Exists fun X2 => % 13.35/13.51 Exists fun X3 => % 13.35/13.51 And (And (And (frontseat U X3) (state U X2)) (be U X2 X1 X3)) (in U X3 X3))) % 13.35/13.51 (two U Z)) % 13.35/13.51 (group U Z)) % 13.35/13.51 (∀ (X4 : Iota), member U X4 Z → And (fellow U X4) (young U X4)))) % 13.35/13.53 True % 13.35/13.53 Clause #291 (by clausification #[290]): ∀ (a : Iota), % 13.35/13.53 Eq % 13.35/13.53 (And (actual_world (skS.0 3 a)) % 13.35/13.53 (Exists fun V => % 13.35/13.53 Exists fun W => % 13.35/13.53 Exists fun X => % 13.35/13.53 Exists fun Y => % 13.35/13.53 Exists fun Z => % 13.35/13.53 And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And (And (chevy (skS.0 3 a) V) (white (skS.0 3 a) V)) % 13.35/13.53 (dirty (skS.0 3 a) V)) % 13.35/13.53 (old (skS.0 3 a) V)) % 13.35/13.53 (of (skS.0 3 a) W X)) % 13.35/13.53 (city (skS.0 3 a) X)) % 13.35/13.53 (hollywood_placename (skS.0 3 a) W)) % 13.35/13.53 (placename (skS.0 3 a) W)) % 13.35/13.53 (street (skS.0 3 a) X)) % 13.35/13.53 (lonely (skS.0 3 a) X)) % 13.35/13.53 (event (skS.0 3 a) Y)) % 13.35/13.53 (agent (skS.0 3 a) Y V)) % 13.35/13.53 (present (skS.0 3 a) Y)) % 13.35/13.53 (barrel (skS.0 3 a) Y)) % 13.35/13.53 (down (skS.0 3 a) Y X)) % 13.35/13.53 (in (skS.0 3 a) Y X)) % 13.35/13.53 (∀ (X1 : Iota), % 13.35/13.53 member (skS.0 3 a) X1 Z → % 13.35/13.53 Exists fun X2 => % 13.35/13.53 Exists fun X3 => % 13.35/13.53 And % 13.35/13.53 (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) % 13.35/13.53 (be (skS.0 3 a) X2 X1 X3)) % 13.35/13.53 (in (skS.0 3 a) X3 X3))) % 13.35/13.53 (two (skS.0 3 a) Z)) % 13.35/13.53 (group (skS.0 3 a) Z)) % 13.35/13.53 (∀ (X4 : Iota), member (skS.0 3 a) X4 Z → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4)))) % 13.35/13.53 True % 13.35/13.53 Clause #292 (by clausification #[291]): ∀ (a : Iota), % 13.35/13.53 Eq % 13.35/13.53 (Exists fun V => % 13.35/13.53 Exists fun W => % 13.35/13.53 Exists fun X => % 13.35/13.53 Exists fun Y => % 13.35/13.53 Exists fun Z => % 13.35/13.53 And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And % 13.35/13.53 (And (And (chevy (skS.0 3 a) V) (white (skS.0 3 a) V)) % 13.35/13.53 (dirty (skS.0 3 a) V)) % 13.35/13.53 (old (skS.0 3 a) V)) % 13.35/13.53 (of (skS.0 3 a) W X)) % 13.35/13.53 (city (skS.0 3 a) X)) % 13.35/13.53 (hollywood_placename (skS.0 3 a) W)) % 13.35/13.53 (placename (skS.0 3 a) W)) % 13.35/13.53 (street (skS.0 3 a) X)) % 13.35/13.53 (lonely (skS.0 3 a) X)) % 13.35/13.53 (event (skS.0 3 a) Y)) % 13.35/13.53 (agent (skS.0 3 a) Y V)) % 13.35/13.53 (present (skS.0 3 a) Y)) % 13.35/13.55 (barrel (skS.0 3 a) Y)) % 13.35/13.55 (down (skS.0 3 a) Y X)) % 13.35/13.55 (in (skS.0 3 a) Y X)) % 13.35/13.55 (∀ (X1 : Iota), % 13.35/13.55 member (skS.0 3 a) X1 Z → % 13.35/13.55 Exists fun X2 => % 13.35/13.55 Exists fun X3 => % 13.35/13.55 And % 13.35/13.55 (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.35/13.55 (in (skS.0 3 a) X3 X3))) % 13.35/13.55 (two (skS.0 3 a) Z)) % 13.35/13.55 (group (skS.0 3 a) Z)) % 13.35/13.55 (∀ (X4 : Iota), member (skS.0 3 a) X4 Z → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4))) % 13.35/13.55 True % 13.35/13.55 Clause #294 (by clausification #[292]): ∀ (a a_1 : Iota), % 13.35/13.55 Eq % 13.35/13.55 (Exists fun W => % 13.35/13.55 Exists fun X => % 13.35/13.55 Exists fun Y => % 13.35/13.55 Exists fun Z => % 13.35/13.55 And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) % 13.35/13.55 (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.35/13.55 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.35/13.55 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.35/13.55 (of (skS.0 3 a) W X)) % 13.35/13.55 (city (skS.0 3 a) X)) % 13.35/13.55 (hollywood_placename (skS.0 3 a) W)) % 13.35/13.55 (placename (skS.0 3 a) W)) % 13.35/13.55 (street (skS.0 3 a) X)) % 13.35/13.55 (lonely (skS.0 3 a) X)) % 13.35/13.55 (event (skS.0 3 a) Y)) % 13.35/13.55 (agent (skS.0 3 a) Y (skS.0 4 a a_1))) % 13.35/13.55 (present (skS.0 3 a) Y)) % 13.35/13.55 (barrel (skS.0 3 a) Y)) % 13.35/13.55 (down (skS.0 3 a) Y X)) % 13.35/13.55 (in (skS.0 3 a) Y X)) % 13.35/13.55 (∀ (X1 : Iota), % 13.35/13.55 member (skS.0 3 a) X1 Z → % 13.35/13.55 Exists fun X2 => % 13.35/13.55 Exists fun X3 => % 13.35/13.55 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.35/13.55 (in (skS.0 3 a) X3 X3))) % 13.35/13.55 (two (skS.0 3 a) Z)) % 13.35/13.55 (group (skS.0 3 a) Z)) % 13.35/13.55 (∀ (X4 : Iota), member (skS.0 3 a) X4 Z → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4))) % 13.35/13.55 True % 13.35/13.55 Clause #295 (by clausification #[294]): ∀ (a a_1 a_2 : Iota), % 13.35/13.55 Eq % 13.35/13.55 (Exists fun X => % 13.35/13.55 Exists fun Y => % 13.35/13.55 Exists fun Z => % 13.35/13.55 And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And % 13.35/13.55 (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) % 13.35/13.55 (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.35/13.55 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.57 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.57 (of (skS.0 3 a) (skS.0 5 a a_1 a_2) X)) % 13.41/13.57 (city (skS.0 3 a) X)) % 13.41/13.57 (hollywood_placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.57 (placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.57 (street (skS.0 3 a) X)) % 13.41/13.57 (lonely (skS.0 3 a) X)) % 13.41/13.57 (event (skS.0 3 a) Y)) % 13.41/13.57 (agent (skS.0 3 a) Y (skS.0 4 a a_1))) % 13.41/13.57 (present (skS.0 3 a) Y)) % 13.41/13.57 (barrel (skS.0 3 a) Y)) % 13.41/13.57 (down (skS.0 3 a) Y X)) % 13.41/13.57 (in (skS.0 3 a) Y X)) % 13.41/13.57 (∀ (X1 : Iota), % 13.41/13.57 member (skS.0 3 a) X1 Z → % 13.41/13.57 Exists fun X2 => % 13.41/13.57 Exists fun X3 => % 13.41/13.57 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.57 (in (skS.0 3 a) X3 X3))) % 13.41/13.57 (two (skS.0 3 a) Z)) % 13.41/13.57 (group (skS.0 3 a) Z)) % 13.41/13.57 (∀ (X4 : Iota), member (skS.0 3 a) X4 Z → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4))) % 13.41/13.57 True % 13.41/13.57 Clause #296 (by clausification #[295]): ∀ (a a_1 a_2 a_3 : Iota), % 13.41/13.57 Eq % 13.41/13.57 (Exists fun Y => % 13.41/13.57 Exists fun Z => % 13.41/13.57 And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) % 13.41/13.57 (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.57 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.57 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.57 (of (skS.0 3 a) (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.57 (city (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.57 (hollywood_placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.57 (placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.57 (street (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.57 (lonely (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.57 (event (skS.0 3 a) Y)) % 13.41/13.57 (agent (skS.0 3 a) Y (skS.0 4 a a_1))) % 13.41/13.57 (present (skS.0 3 a) Y)) % 13.41/13.57 (barrel (skS.0 3 a) Y)) % 13.41/13.57 (down (skS.0 3 a) Y (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.57 (in (skS.0 3 a) Y (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.57 (∀ (X1 : Iota), % 13.41/13.57 member (skS.0 3 a) X1 Z → % 13.41/13.57 Exists fun X2 => % 13.41/13.57 Exists fun X3 => % 13.41/13.57 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.57 (in (skS.0 3 a) X3 X3))) % 13.41/13.57 (two (skS.0 3 a) Z)) % 13.41/13.57 (group (skS.0 3 a) Z)) % 13.41/13.57 (∀ (X4 : Iota), member (skS.0 3 a) X4 Z → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4))) % 13.41/13.57 True % 13.41/13.57 Clause #297 (by clausification #[296]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 13.41/13.57 Eq % 13.41/13.57 (Exists fun Z => % 13.41/13.57 And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.57 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.58 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.58 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.58 (of (skS.0 3 a) (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (city (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (hollywood_placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.58 (placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.58 (street (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (lonely (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (event (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.58 (agent (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1))) % 13.41/13.58 (present (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.58 (barrel (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.58 (down (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (in (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (∀ (X1 : Iota), % 13.41/13.58 member (skS.0 3 a) X1 Z → % 13.41/13.58 Exists fun X2 => % 13.41/13.58 Exists fun X3 => % 13.41/13.58 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.58 (in (skS.0 3 a) X3 X3))) % 13.41/13.58 (two (skS.0 3 a) Z)) % 13.41/13.58 (group (skS.0 3 a) Z)) % 13.41/13.58 (∀ (X4 : Iota), member (skS.0 3 a) X4 Z → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4))) % 13.41/13.58 True % 13.41/13.58 Clause #298 (by clausification #[297]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 13.41/13.58 Eq % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And % 13.41/13.58 (And (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.58 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.58 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.58 (of (skS.0 3 a) (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (city (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (hollywood_placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.58 (placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.58 (street (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (lonely (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (event (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.58 (agent (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1))) % 13.41/13.58 (present (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.58 (barrel (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.58 (down (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (in (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.58 (∀ (X1 : Iota), % 13.41/13.58 member (skS.0 3 a) X1 (skS.0 8 a a_1 a_2 a_3 a_4 a_5) → % 13.41/13.58 Exists fun X2 => % 13.41/13.58 Exists fun X3 => % 13.41/13.58 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.58 (in (skS.0 3 a) X3 X3))) % 13.41/13.58 (two (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5))) % 13.41/13.58 (group (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5))) % 13.41/13.60 (∀ (X4 : Iota), % 13.41/13.60 member (skS.0 3 a) X4 (skS.0 8 a a_1 a_2 a_3 a_4 a_5) → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4))) % 13.41/13.60 True % 13.41/13.60 Clause #299 (by clausification #[298]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 13.41/13.60 Eq % 13.41/13.60 (∀ (X4 : Iota), % 13.41/13.60 member (skS.0 3 a) X4 (skS.0 8 a a_1 a_2 a_3 a_4 a_5) → And (fellow (skS.0 3 a) X4) (young (skS.0 3 a) X4)) % 13.41/13.60 True % 13.41/13.60 Clause #300 (by clausification #[298]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 13.41/13.60 Eq % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.60 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.60 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.60 (of (skS.0 3 a) (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (city (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (hollywood_placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.60 (placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.60 (street (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (lonely (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (event (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.60 (agent (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1))) % 13.41/13.60 (present (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.60 (barrel (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.60 (down (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (in (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (∀ (X1 : Iota), % 13.41/13.60 member (skS.0 3 a) X1 (skS.0 8 a a_1 a_2 a_3 a_4 a_5) → % 13.41/13.60 Exists fun X2 => % 13.41/13.60 Exists fun X3 => % 13.41/13.60 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.60 (in (skS.0 3 a) X3 X3))) % 13.41/13.60 (two (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5))) % 13.41/13.60 (group (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5))) % 13.41/13.60 True % 13.41/13.60 Clause #301 (by clausification #[299]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.60 Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6) → And (fellow (skS.0 3 a) a_1) (young (skS.0 3 a) a_1)) % 13.41/13.60 True % 13.41/13.60 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.60 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.60 (Eq (And (fellow (skS.0 3 a) a_1) (young (skS.0 3 a) a_1)) True) % 13.41/13.60 Clause #304 (by clausification #[302]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.60 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) (Eq (fellow (skS.0 3 a) a_1) True) % 13.41/13.60 Clause #310 (by clausification #[300]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 13.41/13.60 Eq % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And % 13.41/13.60 (And (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.60 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.60 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.60 (of (skS.0 3 a) (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (city (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.60 (hollywood_placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.60 (placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.62 (street (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (lonely (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (event (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.62 (agent (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1))) % 13.41/13.62 (present (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.62 (barrel (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.62 (down (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (in (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (∀ (X1 : Iota), % 13.41/13.62 member (skS.0 3 a) X1 (skS.0 8 a a_1 a_2 a_3 a_4 a_5) → % 13.41/13.62 Exists fun X2 => % 13.41/13.62 Exists fun X3 => % 13.41/13.62 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.62 (in (skS.0 3 a) X3 X3))) % 13.41/13.62 (two (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5))) % 13.41/13.62 True % 13.41/13.62 Clause #312 (by clausification #[310]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (two (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5)) True % 13.41/13.62 Clause #313 (by clausification #[310]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 13.41/13.62 Eq % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And % 13.41/13.62 (And (And (chevy (skS.0 3 a) (skS.0 4 a a_1)) (white (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.62 (dirty (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.62 (old (skS.0 3 a) (skS.0 4 a a_1))) % 13.41/13.62 (of (skS.0 3 a) (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (city (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (hollywood_placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.62 (placename (skS.0 3 a) (skS.0 5 a a_1 a_2))) % 13.41/13.62 (street (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (lonely (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (event (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.62 (agent (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 4 a a_1))) % 13.41/13.62 (present (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.62 (barrel (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4))) % 13.41/13.62 (down (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (in (skS.0 3 a) (skS.0 7 a a_1 a_2 a_3 a_4) (skS.0 6 a a_1 a_2 a_3))) % 13.41/13.62 (∀ (X1 : Iota), % 13.41/13.62 member (skS.0 3 a) X1 (skS.0 8 a a_1 a_2 a_3 a_4 a_5) → % 13.41/13.62 Exists fun X2 => % 13.41/13.62 Exists fun X3 => % 13.41/13.62 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.62 (in (skS.0 3 a) X3 X3))) % 13.41/13.62 True % 13.41/13.62 Clause #316 (by superposition #[312, 277]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.62 Or (Eq True False) % 13.41/13.62 (Eq (member (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) (skS.0 8 a a_1 a_2 a_3 a_4 a_5)) % 13.41/13.62 True) % 13.41/13.62 Clause #322 (by clausification #[316]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.62 Eq (member (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) (skS.0 8 a a_1 a_2 a_3 a_4 a_5)) True % 13.41/13.62 Clause #324 (by superposition #[322, 304]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.62 Or (Eq True False) (Eq (fellow (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6)) True) % 13.41/13.62 Clause #328 (by clausification #[324]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.62 Eq (fellow (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6)) True % 13.41/13.62 Clause #329 (by superposition #[328, 64]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.62 Or (Eq True False) (Eq (man (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6)) True) % 13.41/13.62 Clause #330 (by clausification #[313]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 13.41/13.62 Eq % 13.41/13.62 (∀ (X1 : Iota), % 13.41/13.62 member (skS.0 3 a) X1 (skS.0 8 a a_1 a_2 a_3 a_4 a_5) → % 13.41/13.65 Exists fun X2 => % 13.41/13.65 Exists fun X3 => % 13.41/13.65 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 X1 X3)) % 13.41/13.65 (in (skS.0 3 a) X3 X3)) % 13.41/13.65 True % 13.41/13.65 Clause #332 (by clausification #[330]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.65 Eq % 13.41/13.65 (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6) → % 13.41/13.65 Exists fun X2 => % 13.41/13.65 Exists fun X3 => % 13.41/13.65 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 a_1 X3)) % 13.41/13.65 (in (skS.0 3 a) X3 X3)) % 13.41/13.65 True % 13.41/13.65 Clause #333 (by clausification #[332]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.65 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.65 (Eq % 13.41/13.65 (Exists fun X2 => % 13.41/13.65 Exists fun X3 => % 13.41/13.65 And (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) X2)) (be (skS.0 3 a) X2 a_1 X3)) % 13.41/13.65 (in (skS.0 3 a) X3 X3)) % 13.41/13.65 True) % 13.41/13.65 Clause #334 (by clausification #[333]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 13.41/13.65 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.65 (Eq % 13.41/13.65 (Exists fun X3 => % 13.41/13.65 And % 13.41/13.65 (And (And (frontseat (skS.0 3 a) X3) (state (skS.0 3 a) (skS.0 9 a a_1 a_7))) % 13.41/13.65 (be (skS.0 3 a) (skS.0 9 a a_1 a_7) a_1 X3)) % 13.41/13.65 (in (skS.0 3 a) X3 X3)) % 13.41/13.65 True) % 13.41/13.65 Clause #335 (by clausification #[334]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.41/13.65 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.65 (Eq % 13.41/13.65 (And % 13.41/13.65 (And (And (frontseat (skS.0 3 a) (skS.0 10 a a_1 a_7 a_8)) (state (skS.0 3 a) (skS.0 9 a a_1 a_7))) % 13.41/13.65 (be (skS.0 3 a) (skS.0 9 a a_1 a_7) a_1 (skS.0 10 a a_1 a_7 a_8))) % 13.41/13.65 (in (skS.0 3 a) (skS.0 10 a a_1 a_7 a_8) (skS.0 10 a a_1 a_7 a_8))) % 13.41/13.65 True) % 13.41/13.65 Clause #337 (by clausification #[335]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.41/13.65 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.65 (Eq % 13.41/13.65 (And (And (frontseat (skS.0 3 a) (skS.0 10 a a_1 a_7 a_8)) (state (skS.0 3 a) (skS.0 9 a a_1 a_7))) % 13.41/13.65 (be (skS.0 3 a) (skS.0 9 a a_1 a_7) a_1 (skS.0 10 a a_1 a_7 a_8))) % 13.41/13.65 True) % 13.41/13.65 Clause #339 (by clausification #[329]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.65 Eq (man (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6)) True % 13.41/13.65 Clause #341 (by superposition #[339, 103]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.65 Or (Eq True False) (Eq (male (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6)) True) % 13.41/13.65 Clause #342 (by clausification #[341]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.41/13.65 Eq (male (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6)) True % 13.41/13.65 Clause #433 (by clausification #[337]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.41/13.65 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.65 (Eq (be (skS.0 3 a) (skS.0 9 a a_1 a_7) a_1 (skS.0 10 a a_1 a_7 a_8)) True) % 13.41/13.65 Clause #434 (by clausification #[337]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.41/13.65 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.65 (Eq (And (frontseat (skS.0 3 a) (skS.0 10 a a_1 a_7 a_8)) (state (skS.0 3 a) (skS.0 9 a a_1 a_7))) True) % 13.41/13.65 Clause #435 (by superposition #[433, 322]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.41/13.65 Or % 13.41/13.65 (Eq % 13.41/13.65 (be (skS.0 3 a) (skS.0 9 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7) % 13.41/13.65 (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) % 13.41/13.65 (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) % 13.41/13.65 True) % 13.41/13.65 (Eq False True) % 13.41/13.65 Clause #438 (by clausification #[434]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.41/13.65 Or (Eq (member (skS.0 3 a) a_1 (skS.0 8 a a_2 a_3 a_4 a_5 a_6)) False) % 13.41/13.65 (Eq (frontseat (skS.0 3 a) (skS.0 10 a a_1 a_7 a_8)) True) % 13.41/13.65 Clause #441 (by superposition #[438, 322]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.41/13.65 Or (Eq (frontseat (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True) % 13.41/13.65 (Eq False True) % 13.41/13.65 Clause #765 (by clausification #[441]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (frontseat (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True % 13.49/13.68 Clause #766 (by superposition #[765, 115]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (seat (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True) % 13.49/13.68 Clause #771 (by clausification #[766]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (seat (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True % 13.49/13.68 Clause #772 (by superposition #[771, 97]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (furniture (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True) % 13.49/13.68 Clause #777 (by clausification #[772]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (furniture (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True % 13.49/13.68 Clause #778 (by superposition #[777, 79]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (instrumentality (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) % 13.49/13.68 True) % 13.49/13.68 Clause #783 (by clausification #[778]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (instrumentality (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True % 13.49/13.68 Clause #784 (by superposition #[783, 205]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (artifact (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True) % 13.49/13.68 Clause #791 (by clausification #[784]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (artifact (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True % 13.49/13.68 Clause #792 (by superposition #[791, 190]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (object (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True) % 13.49/13.68 Clause #797 (by clausification #[792]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (object (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True % 13.49/13.68 Clause #798 (by superposition #[797, 154]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (unisex (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True) % 13.49/13.68 Clause #873 (by clausification #[798]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (unisex (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) True % 13.49/13.68 Clause #874 (by superposition #[873, 224]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (male (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) False) % 13.49/13.68 Clause #879 (by clausification #[874]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (male (skS.0 3 a) (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) False % 13.49/13.68 Clause #884 (by clausification #[435]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq % 13.49/13.68 (be (skS.0 3 a) (skS.0 9 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7) % 13.49/13.68 (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) % 13.49/13.68 (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) % 13.49/13.68 True % 13.49/13.68 Clause #885 (by superposition #[884, 249]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Or (Eq True False) % 13.49/13.68 (Eq (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) % 13.49/13.68 (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8)) % 13.49/13.68 Clause #1026 (by clausification #[885]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 13.49/13.68 Eq (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) % 13.49/13.68 (skS.0 10 a (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6) a_7 a_8) % 13.49/13.68 Clause #1037 (by backward demodulation #[1026, 879]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 13.49/13.68 Eq (male (skS.0 3 a) (skS.0 1 (skS.0 3 a) (skS.0 8 a a_1 a_2 a_3 a_4 a_5) a_6)) False % 13.49/13.68 Clause #1043 (by superposition #[1037, 342]): Eq False True % 13.49/13.68 Clause #1048 (by clausification #[1043]): False % 13.49/13.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------