%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PRO012+2 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:58:08 PM UTC 2025 % Result : Theorem 86.78s 86.94s % Output : Proof 86.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : PRO012+2 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.13 % Command : duper %s % 0.14/0.34 % Computer : n026.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 08:44:53 EDT 2025 % 0.14/0.34 % CPUTime : % 86.78/86.94 SZS status Theorem for theBenchmark.p % 86.78/86.94 SZS output start Proof for theBenchmark.p % 86.78/86.94 Clause #0 (by assumption #[]): Eq (∀ (X0 X1 X2 X3 : Iota), And (min_precedes X0 X1 X3) (min_precedes X1 X2 X3) → min_precedes X0 X2 X3) True % 86.78/86.94 Clause #31 (by assumption #[]): Eq % 86.78/86.94 (∀ (X95 : Iota), % 86.78/86.94 occurrence_of X95 tptp0 → % 86.78/86.94 Exists fun X96 => % 86.78/86.94 Exists fun X97 => % 86.78/86.94 Exists fun X98 => % 86.78/86.94 And % 86.78/86.94 (And % 86.78/86.94 (And % 86.78/86.94 (And (And (And (occurrence_of X96 tptp3) (root_occ X96 X95)) (occurrence_of X97 tptp4)) % 86.78/86.94 (min_precedes X96 X97 tptp0)) % 86.78/86.94 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1))) % 86.78/86.94 (min_precedes X97 X98 tptp0)) % 86.78/86.94 (∀ (X99 : Iota), min_precedes X96 X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98))) % 86.78/86.94 True % 86.78/86.94 Clause #44 (by assumption #[]): Eq % 86.78/86.94 (Not % 86.78/86.94 (∀ (X100 : Iota), % 86.78/86.94 occurrence_of X100 tptp0 → % 86.78/86.94 Exists fun X101 => % 86.78/86.94 Exists fun X102 => % 86.78/86.94 And % 86.78/86.94 (And (And (occurrence_of X101 tptp3) (root_occ X101 X100)) % 86.78/86.94 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1))) % 86.78/86.94 (min_precedes X101 X102 tptp0))) % 86.78/86.94 True % 86.78/86.94 Clause #45 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (X1 X2 X3 : Iota), And (min_precedes a X1 X3) (min_precedes X1 X2 X3) → min_precedes a X2 X3) True % 86.78/86.94 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), % 86.78/86.94 Eq (∀ (X2 X3 : Iota), And (min_precedes a a_1 X3) (min_precedes a_1 X2 X3) → min_precedes a X2 X3) True % 86.78/86.94 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), % 86.78/86.94 Eq (∀ (X3 : Iota), And (min_precedes a a_1 X3) (min_precedes a_1 a_2 X3) → min_precedes a a_2 X3) True % 86.78/86.94 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (min_precedes a a_1 a_2) (min_precedes a_1 a_3 a_2) → min_precedes a a_3 a_2) True % 86.78/86.94 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 a_3 : Iota), % 86.78/86.94 Or (Eq (And (min_precedes a a_1 a_2) (min_precedes a_1 a_3 a_2)) False) (Eq (min_precedes a a_3 a_2) True) % 86.78/86.94 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota), % 86.78/86.94 Or (Eq (min_precedes a a_1 a_2) True) (Or (Eq (min_precedes a a_3 a_2) False) (Eq (min_precedes a_3 a_1 a_2) False)) % 86.78/86.94 Clause #274 (by clausification #[31]): ∀ (a : Iota), % 86.78/86.94 Eq % 86.78/86.94 (occurrence_of a tptp0 → % 86.78/86.94 Exists fun X96 => % 86.78/86.94 Exists fun X97 => % 86.78/86.94 Exists fun X98 => % 86.78/86.94 And % 86.78/86.94 (And % 86.78/86.94 (And % 86.78/86.94 (And (And (And (occurrence_of X96 tptp3) (root_occ X96 a)) (occurrence_of X97 tptp4)) % 86.78/86.94 (min_precedes X96 X97 tptp0)) % 86.78/86.94 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1))) % 86.78/86.94 (min_precedes X97 X98 tptp0)) % 86.78/86.94 (∀ (X99 : Iota), min_precedes X96 X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98))) % 86.78/86.94 True % 86.78/86.94 Clause #275 (by clausification #[274]): ∀ (a : Iota), % 86.78/86.94 Or (Eq (occurrence_of a tptp0) False) % 86.78/86.94 (Eq % 86.78/86.94 (Exists fun X96 => % 86.78/86.94 Exists fun X97 => % 86.78/86.94 Exists fun X98 => % 86.78/86.94 And % 86.78/86.94 (And % 86.78/86.94 (And % 86.78/86.94 (And (And (And (occurrence_of X96 tptp3) (root_occ X96 a)) (occurrence_of X97 tptp4)) % 86.78/86.94 (min_precedes X96 X97 tptp0)) % 86.78/86.94 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1))) % 86.78/86.94 (min_precedes X97 X98 tptp0)) % 86.78/86.94 (∀ (X99 : Iota), min_precedes X96 X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98))) % 86.78/86.94 True) % 86.78/86.94 Clause #276 (by clausification #[275]): ∀ (a a_1 : Iota), % 86.78/86.94 Or (Eq (occurrence_of a tptp0) False) % 86.78/86.94 (Eq % 86.78/86.94 (Exists fun X97 => % 86.78/86.94 Exists fun X98 => % 86.78/86.94 And % 86.78/86.94 (And % 86.78/86.94 (And % 86.78/86.94 (And % 86.78/86.94 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) % 86.78/86.94 (occurrence_of X97 tptp4)) % 86.78/86.94 (min_precedes (skS.0 13 a a_1) X97 tptp0)) % 86.78/86.94 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1))) % 86.78/86.94 (min_precedes X97 X98 tptp0)) % 86.78/86.94 (∀ (X99 : Iota), min_precedes (skS.0 13 a a_1) X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98))) % 86.78/86.96 True) % 86.78/86.96 Clause #277 (by clausification #[276]): ∀ (a a_1 a_2 : Iota), % 86.78/86.96 Or (Eq (occurrence_of a tptp0) False) % 86.78/86.96 (Eq % 86.78/86.96 (Exists fun X98 => % 86.78/86.96 And % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) % 86.78/86.96 (occurrence_of (skS.0 14 a a_1 a_2) tptp4)) % 86.78/86.96 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0)) % 86.78/86.96 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1))) % 86.78/86.96 (min_precedes (skS.0 14 a a_1 a_2) X98 tptp0)) % 86.78/86.96 (∀ (X99 : Iota), min_precedes (skS.0 13 a a_1) X99 tptp0 → Or (Eq X99 (skS.0 14 a a_1 a_2)) (Eq X99 X98))) % 86.78/86.96 True) % 86.78/86.96 Clause #278 (by clausification #[277]): ∀ (a a_1 a_2 a_3 : Iota), % 86.78/86.96 Or (Eq (occurrence_of a tptp0) False) % 86.78/86.96 (Eq % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) % 86.78/86.96 (occurrence_of (skS.0 14 a a_1 a_2) tptp4)) % 86.78/86.96 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0)) % 86.78/86.96 (Or (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp1))) % 86.78/86.96 (min_precedes (skS.0 14 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3) tptp0)) % 86.78/86.96 (∀ (X99 : Iota), % 86.78/86.96 min_precedes (skS.0 13 a a_1) X99 tptp0 → Or (Eq X99 (skS.0 14 a a_1 a_2)) (Eq X99 (skS.0 15 a a_1 a_2 a_3)))) % 86.78/86.96 True) % 86.78/86.96 Clause #280 (by clausification #[278]): ∀ (a a_1 a_2 a_3 : Iota), % 86.78/86.96 Or (Eq (occurrence_of a tptp0) False) % 86.78/86.96 (Eq % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) % 86.78/86.96 (occurrence_of (skS.0 14 a a_1 a_2) tptp4)) % 86.78/86.96 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0)) % 86.78/86.96 (Or (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp1))) % 86.78/86.96 (min_precedes (skS.0 14 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3) tptp0)) % 86.78/86.96 True) % 86.78/86.96 Clause #290 (by clausification #[44]): Eq % 86.78/86.96 (∀ (X100 : Iota), % 86.78/86.96 occurrence_of X100 tptp0 → % 86.78/86.96 Exists fun X101 => % 86.78/86.96 Exists fun X102 => % 86.78/86.96 And % 86.78/86.96 (And (And (occurrence_of X101 tptp3) (root_occ X101 X100)) % 86.78/86.96 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1))) % 86.78/86.96 (min_precedes X101 X102 tptp0)) % 86.78/86.96 False % 86.78/86.96 Clause #291 (by clausification #[290]): ∀ (a : Iota), % 86.78/86.96 Eq % 86.78/86.96 (Not % 86.78/86.96 (occurrence_of (skS.0 17 a) tptp0 → % 86.78/86.96 Exists fun X101 => % 86.78/86.96 Exists fun X102 => % 86.78/86.96 And % 86.78/86.96 (And (And (occurrence_of X101 tptp3) (root_occ X101 (skS.0 17 a))) % 86.78/86.96 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1))) % 86.78/86.96 (min_precedes X101 X102 tptp0))) % 86.78/86.96 True % 86.78/86.96 Clause #292 (by clausification #[291]): ∀ (a : Iota), % 86.78/86.96 Eq % 86.78/86.96 (occurrence_of (skS.0 17 a) tptp0 → % 86.78/86.96 Exists fun X101 => % 86.78/86.96 Exists fun X102 => % 86.78/86.96 And % 86.78/86.96 (And (And (occurrence_of X101 tptp3) (root_occ X101 (skS.0 17 a))) % 86.78/86.96 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1))) % 86.78/86.96 (min_precedes X101 X102 tptp0)) % 86.78/86.96 False % 86.78/86.96 Clause #293 (by clausification #[292]): ∀ (a : Iota), Eq (occurrence_of (skS.0 17 a) tptp0) True % 86.78/86.96 Clause #294 (by clausification #[292]): ∀ (a : Iota), % 86.78/86.96 Eq % 86.78/86.96 (Exists fun X101 => % 86.78/86.96 Exists fun X102 => % 86.78/86.96 And % 86.78/86.96 (And (And (occurrence_of X101 tptp3) (root_occ X101 (skS.0 17 a))) % 86.78/86.96 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1))) % 86.78/86.96 (min_precedes X101 X102 tptp0)) % 86.78/86.96 False % 86.78/86.96 Clause #327 (by clausification #[280]): ∀ (a a_1 a_2 a_3 : Iota), % 86.78/86.96 Or (Eq (occurrence_of a tptp0) False) (Eq (min_precedes (skS.0 14 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3) tptp0) True) % 86.78/86.96 Clause #328 (by clausification #[280]): ∀ (a a_1 a_2 a_3 : Iota), % 86.78/86.96 Or (Eq (occurrence_of a tptp0) False) % 86.78/86.96 (Eq % 86.78/86.96 (And % 86.78/86.96 (And % 86.78/86.96 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) % 86.78/86.96 (occurrence_of (skS.0 14 a a_1 a_2) tptp4)) % 86.78/86.96 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0)) % 86.82/86.98 (Or (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp1))) % 86.82/86.98 True) % 86.82/86.98 Clause #329 (by superposition #[327, 293]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/86.98 Or (Eq (min_precedes (skS.0 14 (skS.0 17 a) a_1 a_2) (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp0) True) (Eq False True) % 86.82/86.98 Clause #351 (by clausification #[294]): ∀ (a a_1 : Iota), % 86.82/86.98 Eq % 86.82/86.98 (Exists fun X102 => % 86.82/86.98 And % 86.82/86.98 (And (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_1))) % 86.82/86.98 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1))) % 86.82/86.98 (min_precedes a X102 tptp0)) % 86.82/86.98 False % 86.82/86.98 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Eq % 86.82/86.98 (And % 86.82/86.98 (And (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_1))) % 86.82/86.98 (Or (occurrence_of a_2 tptp2) (occurrence_of a_2 tptp1))) % 86.82/86.98 (min_precedes a a_2 tptp0)) % 86.82/86.98 False % 86.82/86.98 Clause #353 (by clausification #[352]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or % 86.82/86.98 (Eq % 86.82/86.98 (And (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_1))) % 86.82/86.98 (Or (occurrence_of a_2 tptp2) (occurrence_of a_2 tptp1))) % 86.82/86.98 False) % 86.82/86.98 (Eq (min_precedes a a_2 tptp0) False) % 86.82/86.98 Clause #354 (by clausification #[353]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or (Eq (min_precedes a a_1 tptp0) False) % 86.82/86.98 (Or (Eq (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_2))) False) % 86.82/86.98 (Eq (Or (occurrence_of a_1 tptp2) (occurrence_of a_1 tptp1)) False)) % 86.82/86.98 Clause #355 (by clausification #[354]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or (Eq (min_precedes a a_1 tptp0) False) % 86.82/86.98 (Or (Eq (Or (occurrence_of a_1 tptp2) (occurrence_of a_1 tptp1)) False) % 86.82/86.98 (Or (Eq (occurrence_of a tptp3) False) (Eq (root_occ a (skS.0 17 a_2)) False))) % 86.82/86.98 Clause #356 (by clausification #[355]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or (Eq (min_precedes a a_1 tptp0) False) % 86.82/86.98 (Or (Eq (occurrence_of a tptp3) False) % 86.82/86.98 (Or (Eq (root_occ a (skS.0 17 a_2)) False) (Eq (occurrence_of a_1 tptp1) False))) % 86.82/86.98 Clause #357 (by clausification #[355]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or (Eq (min_precedes a a_1 tptp0) False) % 86.82/86.98 (Or (Eq (occurrence_of a tptp3) False) % 86.82/86.98 (Or (Eq (root_occ a (skS.0 17 a_2)) False) (Eq (occurrence_of a_1 tptp2) False))) % 86.82/86.98 Clause #383 (by clausification #[329]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/86.98 Eq (min_precedes (skS.0 14 (skS.0 17 a) a_1 a_2) (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp0) True % 86.82/86.98 Clause #400 (by clausification #[328]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/86.98 Or (Eq (occurrence_of a tptp0) False) % 86.82/86.98 (Eq (Or (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp2) (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp1)) True) % 86.82/86.98 Clause #401 (by clausification #[328]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or (Eq (occurrence_of a tptp0) False) % 86.82/86.98 (Eq % 86.82/86.98 (And % 86.82/86.98 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) % 86.82/86.98 (occurrence_of (skS.0 14 a a_1 a_2) tptp4)) % 86.82/86.98 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0)) % 86.82/86.98 True) % 86.82/86.98 Clause #402 (by clausification #[400]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/86.98 Or (Eq (occurrence_of a tptp0) False) % 86.82/86.98 (Or (Eq (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp2) True) % 86.82/86.98 (Eq (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp1) True)) % 86.82/86.98 Clause #403 (by superposition #[402, 293]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/86.98 Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) True) % 86.82/86.98 (Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp1) True) (Eq False True)) % 86.82/86.98 Clause #428 (by clausification #[403]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/86.98 Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) True) % 86.82/86.98 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp1) True) % 86.82/86.98 Clause #749 (by clausification #[401]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or (Eq (occurrence_of a tptp0) False) (Eq (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0) True) % 86.82/86.98 Clause #750 (by clausification #[401]): ∀ (a a_1 a_2 : Iota), % 86.82/86.98 Or (Eq (occurrence_of a tptp0) False) % 86.82/86.98 (Eq % 86.82/86.98 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) % 86.82/86.98 (occurrence_of (skS.0 14 a a_1 a_2) tptp4)) % 86.82/86.98 True) % 86.82/86.98 Clause #751 (by superposition #[749, 293]): ∀ (a a_1 a_2 : Iota), % 86.82/87.00 Or (Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) (skS.0 14 (skS.0 17 a) a_1 a_2) tptp0) True) (Eq False True) % 86.82/87.00 Clause #753 (by clausification #[751]): ∀ (a a_1 a_2 : Iota), Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) (skS.0 14 (skS.0 17 a) a_1 a_2) tptp0) True % 86.82/87.00 Clause #757 (by superposition #[753, 50]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/87.00 Or (Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) a_2 tptp0) True) % 86.82/87.00 (Or (Eq True False) (Eq (min_precedes (skS.0 14 (skS.0 17 a) a_1 a_3) a_2 tptp0) False)) % 86.82/87.00 Clause #796 (by clausification #[757]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/87.00 Or (Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) a_2 tptp0) True) % 86.82/87.00 (Eq (min_precedes (skS.0 14 (skS.0 17 a) a_1 a_3) a_2 tptp0) False) % 86.82/87.00 Clause #797 (by superposition #[796, 383]): ∀ (a a_1 a_2 a_3 : Iota), % 86.82/87.00 Or (Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp0) True) (Eq False True) % 86.82/87.00 Clause #799 (by clausification #[797]): ∀ (a a_1 a_2 a_3 : Iota), Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp0) True % 86.82/87.00 Clause #800 (by superposition #[799, 356]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.82/87.00 Or (Eq True False) % 86.82/87.00 (Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False) % 86.82/87.00 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.82/87.00 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False))) % 86.82/87.00 Clause #801 (by superposition #[799, 357]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.82/87.00 Or (Eq True False) % 86.82/87.00 (Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False) % 86.82/87.00 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.82/87.00 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False))) % 86.82/87.00 Clause #822 (by clausification #[750]): ∀ (a a_1 : Iota), % 86.82/87.00 Or (Eq (occurrence_of a tptp0) False) % 86.82/87.00 (Eq (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) True) % 86.82/87.00 Clause #860 (by clausification #[822]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of a tptp0) False) (Eq (root_occ (skS.0 13 a a_1) a) True) % 86.82/87.00 Clause #861 (by clausification #[822]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of a tptp0) False) (Eq (occurrence_of (skS.0 13 a a_1) tptp3) True) % 86.82/87.00 Clause #862 (by superposition #[860, 293]): ∀ (a a_1 : Iota), Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a)) True) (Eq False True) % 86.82/87.00 Clause #864 (by superposition #[861, 293]): ∀ (a a_1 : Iota), Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) True) (Eq False True) % 86.82/87.00 Clause #868 (by clausification #[864]): ∀ (a a_1 : Iota), Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) True % 86.82/87.00 Clause #904 (by clausification #[862]): ∀ (a a_1 : Iota), Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a)) True % 86.82/87.00 Clause #3708 (by clausification #[800]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.82/87.00 Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False) % 86.82/87.00 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.82/87.00 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False)) % 86.82/87.00 Clause #3709 (by forward demodulation #[3708, 868]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.82/87.00 Or (Eq True False) % 86.82/87.00 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.82/87.00 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False)) % 86.82/87.00 Clause #3710 (by clausification #[3709]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.82/87.00 Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.82/87.00 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False) % 86.82/87.00 Clause #3711 (by superposition #[3710, 904]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp1) False) (Eq False True) % 86.82/87.00 Clause #3713 (by clausification #[3711]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp1) False % 86.82/87.00 Clause #3714 (by backward demodulation #[3713, 428]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) True) (Eq False True) % 86.82/87.00 Clause #3751 (by clausification #[801]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.82/87.00 Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False) % 86.82/87.00 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.90/87.04 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False)) % 86.90/87.04 Clause #3752 (by forward demodulation #[3751, 868]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.90/87.04 Or (Eq True False) % 86.90/87.04 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.90/87.04 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False)) % 86.90/87.04 Clause #3753 (by clausification #[3752]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 86.90/87.04 Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False) % 86.90/87.04 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False) % 86.90/87.04 Clause #3754 (by superposition #[3753, 904]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) False) (Eq False True) % 86.90/87.04 Clause #3756 (by clausification #[3754]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) False % 86.90/87.04 Clause #4393 (by clausification #[3714]): ∀ (a a_1 a_2 a_3 : Iota), Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) True % 86.90/87.04 Clause #4394 (by superposition #[4393, 3756]): Eq True False % 86.90/87.04 Clause #4409 (by clausification #[4394]): False % 86.90/87.04 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------