TSTP Solution File: PRO012+2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PRO012+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : Thu Aug 31 13:06:51 EDT 2023
% Result : Theorem 90.05s 90.25s
% Output : Proof 90.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO012+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 19:18:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 90.05/90.25 SZS status Theorem for theBenchmark.p
% 90.05/90.25 SZS output start Proof for theBenchmark.p
% 90.05/90.25 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
% 90.05/90.25 Clause #31 (by assumption #[]): Eq
% 90.05/90.25 (∀ (X95 : Iota),
% 90.05/90.25 occurrence_of X95 tptp0 →
% 90.05/90.25 Exists fun X96 =>
% 90.05/90.25 Exists fun X97 =>
% 90.05/90.25 Exists fun X98 =>
% 90.05/90.25 And
% 90.05/90.25 (And
% 90.05/90.25 (And
% 90.05/90.25 (And (And (And (occurrence_of X96 tptp3) (root_occ X96 X95)) (occurrence_of X97 tptp4))
% 90.05/90.25 (min_precedes X96 X97 tptp0))
% 90.05/90.25 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1)))
% 90.05/90.25 (min_precedes X97 X98 tptp0))
% 90.05/90.25 (∀ (X99 : Iota), min_precedes X96 X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98)))
% 90.05/90.25 True
% 90.05/90.25 Clause #44 (by assumption #[]): Eq
% 90.05/90.25 (Not
% 90.05/90.25 (∀ (X100 : Iota),
% 90.05/90.25 occurrence_of X100 tptp0 →
% 90.05/90.25 Exists fun X101 =>
% 90.05/90.25 Exists fun X102 =>
% 90.05/90.25 And
% 90.05/90.25 (And (And (occurrence_of X101 tptp3) (root_occ X101 X100))
% 90.05/90.25 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1)))
% 90.05/90.25 (min_precedes X101 X102 tptp0)))
% 90.05/90.25 True
% 90.05/90.25 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
% 90.05/90.25 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 90.05/90.25 Eq (∀ (X2 X3 : Iota), And (min_precedes a a_1 X3) (min_precedes a_1 X2 X3) → min_precedes a X2 X3) True
% 90.05/90.25 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota),
% 90.05/90.25 Eq (∀ (X3 : Iota), And (min_precedes a a_1 X3) (min_precedes a_1 a_2 X3) → min_precedes a a_2 X3) True
% 90.05/90.25 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
% 90.05/90.25 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.05/90.25 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)
% 90.05/90.25 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.05/90.25 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))
% 90.05/90.25 Clause #274 (by clausification #[31]): ∀ (a : Iota),
% 90.05/90.25 Eq
% 90.05/90.25 (occurrence_of a tptp0 →
% 90.05/90.25 Exists fun X96 =>
% 90.05/90.25 Exists fun X97 =>
% 90.05/90.25 Exists fun X98 =>
% 90.05/90.25 And
% 90.05/90.25 (And
% 90.05/90.25 (And
% 90.05/90.25 (And (And (And (occurrence_of X96 tptp3) (root_occ X96 a)) (occurrence_of X97 tptp4))
% 90.05/90.25 (min_precedes X96 X97 tptp0))
% 90.05/90.25 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1)))
% 90.05/90.25 (min_precedes X97 X98 tptp0))
% 90.05/90.25 (∀ (X99 : Iota), min_precedes X96 X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98)))
% 90.05/90.25 True
% 90.05/90.25 Clause #275 (by clausification #[274]): ∀ (a : Iota),
% 90.05/90.25 Or (Eq (occurrence_of a tptp0) False)
% 90.05/90.25 (Eq
% 90.05/90.25 (Exists fun X96 =>
% 90.05/90.25 Exists fun X97 =>
% 90.05/90.25 Exists fun X98 =>
% 90.05/90.25 And
% 90.05/90.25 (And
% 90.05/90.25 (And
% 90.05/90.25 (And (And (And (occurrence_of X96 tptp3) (root_occ X96 a)) (occurrence_of X97 tptp4))
% 90.05/90.25 (min_precedes X96 X97 tptp0))
% 90.05/90.25 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1)))
% 90.05/90.25 (min_precedes X97 X98 tptp0))
% 90.05/90.25 (∀ (X99 : Iota), min_precedes X96 X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98)))
% 90.05/90.25 True)
% 90.05/90.25 Clause #276 (by clausification #[275]): ∀ (a a_1 : Iota),
% 90.05/90.25 Or (Eq (occurrence_of a tptp0) False)
% 90.05/90.25 (Eq
% 90.05/90.25 (Exists fun X97 =>
% 90.05/90.25 Exists fun X98 =>
% 90.05/90.25 And
% 90.05/90.25 (And
% 90.05/90.25 (And
% 90.05/90.25 (And
% 90.05/90.25 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a))
% 90.05/90.25 (occurrence_of X97 tptp4))
% 90.05/90.25 (min_precedes (skS.0 13 a a_1) X97 tptp0))
% 90.05/90.25 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1)))
% 90.05/90.25 (min_precedes X97 X98 tptp0))
% 90.05/90.25 (∀ (X99 : Iota), min_precedes (skS.0 13 a a_1) X99 tptp0 → Or (Eq X99 X97) (Eq X99 X98)))
% 90.05/90.27 True)
% 90.05/90.27 Clause #277 (by clausification #[276]): ∀ (a a_1 a_2 : Iota),
% 90.05/90.27 Or (Eq (occurrence_of a tptp0) False)
% 90.05/90.27 (Eq
% 90.05/90.27 (Exists fun X98 =>
% 90.05/90.27 And
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a))
% 90.05/90.27 (occurrence_of (skS.0 14 a a_1 a_2) tptp4))
% 90.05/90.27 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0))
% 90.05/90.27 (Or (occurrence_of X98 tptp2) (occurrence_of X98 tptp1)))
% 90.05/90.27 (min_precedes (skS.0 14 a a_1 a_2) X98 tptp0))
% 90.05/90.27 (∀ (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)))
% 90.05/90.27 True)
% 90.05/90.27 Clause #278 (by clausification #[277]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.05/90.27 Or (Eq (occurrence_of a tptp0) False)
% 90.05/90.27 (Eq
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a))
% 90.05/90.27 (occurrence_of (skS.0 14 a a_1 a_2) tptp4))
% 90.05/90.27 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0))
% 90.05/90.27 (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)))
% 90.05/90.27 (min_precedes (skS.0 14 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3) tptp0))
% 90.05/90.27 (∀ (X99 : Iota),
% 90.05/90.27 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))))
% 90.05/90.27 True)
% 90.05/90.27 Clause #280 (by clausification #[278]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.05/90.27 Or (Eq (occurrence_of a tptp0) False)
% 90.05/90.27 (Eq
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a))
% 90.05/90.27 (occurrence_of (skS.0 14 a a_1 a_2) tptp4))
% 90.05/90.27 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0))
% 90.05/90.27 (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)))
% 90.05/90.27 (min_precedes (skS.0 14 a a_1 a_2) (skS.0 15 a a_1 a_2 a_3) tptp0))
% 90.05/90.27 True)
% 90.05/90.27 Clause #290 (by clausification #[44]): Eq
% 90.05/90.27 (∀ (X100 : Iota),
% 90.05/90.27 occurrence_of X100 tptp0 →
% 90.05/90.27 Exists fun X101 =>
% 90.05/90.27 Exists fun X102 =>
% 90.05/90.27 And
% 90.05/90.27 (And (And (occurrence_of X101 tptp3) (root_occ X101 X100))
% 90.05/90.27 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1)))
% 90.05/90.27 (min_precedes X101 X102 tptp0))
% 90.05/90.27 False
% 90.05/90.27 Clause #291 (by clausification #[290]): ∀ (a : Iota),
% 90.05/90.27 Eq
% 90.05/90.27 (Not
% 90.05/90.27 (occurrence_of (skS.0 17 a) tptp0 →
% 90.05/90.27 Exists fun X101 =>
% 90.05/90.27 Exists fun X102 =>
% 90.05/90.27 And
% 90.05/90.27 (And (And (occurrence_of X101 tptp3) (root_occ X101 (skS.0 17 a)))
% 90.05/90.27 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1)))
% 90.05/90.27 (min_precedes X101 X102 tptp0)))
% 90.05/90.27 True
% 90.05/90.27 Clause #292 (by clausification #[291]): ∀ (a : Iota),
% 90.05/90.27 Eq
% 90.05/90.27 (occurrence_of (skS.0 17 a) tptp0 →
% 90.05/90.27 Exists fun X101 =>
% 90.05/90.27 Exists fun X102 =>
% 90.05/90.27 And
% 90.05/90.27 (And (And (occurrence_of X101 tptp3) (root_occ X101 (skS.0 17 a)))
% 90.05/90.27 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1)))
% 90.05/90.27 (min_precedes X101 X102 tptp0))
% 90.05/90.27 False
% 90.05/90.27 Clause #293 (by clausification #[292]): ∀ (a : Iota), Eq (occurrence_of (skS.0 17 a) tptp0) True
% 90.05/90.27 Clause #294 (by clausification #[292]): ∀ (a : Iota),
% 90.05/90.27 Eq
% 90.05/90.27 (Exists fun X101 =>
% 90.05/90.27 Exists fun X102 =>
% 90.05/90.27 And
% 90.05/90.27 (And (And (occurrence_of X101 tptp3) (root_occ X101 (skS.0 17 a)))
% 90.05/90.27 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1)))
% 90.05/90.27 (min_precedes X101 X102 tptp0))
% 90.05/90.27 False
% 90.05/90.27 Clause #327 (by clausification #[280]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.05/90.27 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)
% 90.05/90.27 Clause #328 (by clausification #[280]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.05/90.27 Or (Eq (occurrence_of a tptp0) False)
% 90.05/90.27 (Eq
% 90.05/90.27 (And
% 90.05/90.27 (And
% 90.05/90.27 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a))
% 90.05/90.27 (occurrence_of (skS.0 14 a a_1 a_2) tptp4))
% 90.05/90.27 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0))
% 90.14/90.29 (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)))
% 90.14/90.29 True)
% 90.14/90.29 Clause #329 (by superposition #[327, 293]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.29 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)
% 90.14/90.29 Clause #351 (by clausification #[294]): ∀ (a a_1 : Iota),
% 90.14/90.29 Eq
% 90.14/90.29 (Exists fun X102 =>
% 90.14/90.29 And
% 90.14/90.29 (And (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_1)))
% 90.14/90.29 (Or (occurrence_of X102 tptp2) (occurrence_of X102 tptp1)))
% 90.14/90.29 (min_precedes a X102 tptp0))
% 90.14/90.29 False
% 90.14/90.29 Clause #352 (by clausification #[351]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Eq
% 90.14/90.29 (And
% 90.14/90.29 (And (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_1)))
% 90.14/90.29 (Or (occurrence_of a_2 tptp2) (occurrence_of a_2 tptp1)))
% 90.14/90.29 (min_precedes a a_2 tptp0))
% 90.14/90.29 False
% 90.14/90.29 Clause #353 (by clausification #[352]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Or
% 90.14/90.29 (Eq
% 90.14/90.29 (And (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_1)))
% 90.14/90.29 (Or (occurrence_of a_2 tptp2) (occurrence_of a_2 tptp1)))
% 90.14/90.29 False)
% 90.14/90.29 (Eq (min_precedes a a_2 tptp0) False)
% 90.14/90.29 Clause #354 (by clausification #[353]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Or (Eq (min_precedes a a_1 tptp0) False)
% 90.14/90.29 (Or (Eq (And (occurrence_of a tptp3) (root_occ a (skS.0 17 a_2))) False)
% 90.14/90.29 (Eq (Or (occurrence_of a_1 tptp2) (occurrence_of a_1 tptp1)) False))
% 90.14/90.29 Clause #355 (by clausification #[354]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Or (Eq (min_precedes a a_1 tptp0) False)
% 90.14/90.29 (Or (Eq (Or (occurrence_of a_1 tptp2) (occurrence_of a_1 tptp1)) False)
% 90.14/90.29 (Or (Eq (occurrence_of a tptp3) False) (Eq (root_occ a (skS.0 17 a_2)) False)))
% 90.14/90.29 Clause #356 (by clausification #[355]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Or (Eq (min_precedes a a_1 tptp0) False)
% 90.14/90.29 (Or (Eq (occurrence_of a tptp3) False)
% 90.14/90.29 (Or (Eq (root_occ a (skS.0 17 a_2)) False) (Eq (occurrence_of a_1 tptp1) False)))
% 90.14/90.29 Clause #357 (by clausification #[355]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Or (Eq (min_precedes a a_1 tptp0) False)
% 90.14/90.29 (Or (Eq (occurrence_of a tptp3) False)
% 90.14/90.29 (Or (Eq (root_occ a (skS.0 17 a_2)) False) (Eq (occurrence_of a_1 tptp2) False)))
% 90.14/90.29 Clause #383 (by clausification #[329]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.29 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
% 90.14/90.29 Clause #400 (by clausification #[328]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.29 Or (Eq (occurrence_of a tptp0) False)
% 90.14/90.29 (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)
% 90.14/90.29 Clause #401 (by clausification #[328]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Or (Eq (occurrence_of a tptp0) False)
% 90.14/90.29 (Eq
% 90.14/90.29 (And
% 90.14/90.29 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a))
% 90.14/90.29 (occurrence_of (skS.0 14 a a_1 a_2) tptp4))
% 90.14/90.29 (min_precedes (skS.0 13 a a_1) (skS.0 14 a a_1 a_2) tptp0))
% 90.14/90.29 True)
% 90.14/90.29 Clause #402 (by clausification #[400]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.29 Or (Eq (occurrence_of a tptp0) False)
% 90.14/90.29 (Or (Eq (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp2) True)
% 90.14/90.29 (Eq (occurrence_of (skS.0 15 a a_1 a_2 a_3) tptp1) True))
% 90.14/90.29 Clause #403 (by superposition #[402, 293]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.29 Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) True)
% 90.14/90.29 (Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp1) True) (Eq False True))
% 90.14/90.29 Clause #428 (by clausification #[403]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.29 Or (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp2) True)
% 90.14/90.29 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_2 a_3) tptp1) True)
% 90.14/90.29 Clause #749 (by clausification #[401]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 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)
% 90.14/90.29 Clause #750 (by clausification #[401]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.29 Or (Eq (occurrence_of a tptp0) False)
% 90.14/90.29 (Eq
% 90.14/90.29 (And (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a))
% 90.14/90.29 (occurrence_of (skS.0 14 a a_1 a_2) tptp4))
% 90.14/90.29 True)
% 90.14/90.29 Clause #751 (by superposition #[749, 293]): ∀ (a a_1 a_2 : Iota),
% 90.14/90.32 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)
% 90.14/90.32 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
% 90.14/90.32 Clause #757 (by superposition #[753, 50]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.32 Or (Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) a_2 tptp0) True)
% 90.14/90.32 (Or (Eq True False) (Eq (min_precedes (skS.0 14 (skS.0 17 a) a_1 a_3) a_2 tptp0) False))
% 90.14/90.32 Clause #796 (by clausification #[757]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.32 Or (Eq (min_precedes (skS.0 13 (skS.0 17 a) a_1) a_2 tptp0) True)
% 90.14/90.32 (Eq (min_precedes (skS.0 14 (skS.0 17 a) a_1 a_3) a_2 tptp0) False)
% 90.14/90.32 Clause #797 (by superposition #[796, 383]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.14/90.32 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)
% 90.14/90.32 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
% 90.14/90.32 Clause #800 (by superposition #[799, 356]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.32 Or (Eq True False)
% 90.14/90.32 (Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False)
% 90.14/90.32 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.32 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False)))
% 90.14/90.32 Clause #801 (by superposition #[799, 357]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.32 Or (Eq True False)
% 90.14/90.32 (Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False)
% 90.14/90.32 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.32 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False)))
% 90.14/90.32 Clause #822 (by clausification #[750]): ∀ (a a_1 : Iota),
% 90.14/90.32 Or (Eq (occurrence_of a tptp0) False)
% 90.14/90.32 (Eq (And (occurrence_of (skS.0 13 a a_1) tptp3) (root_occ (skS.0 13 a a_1) a)) True)
% 90.14/90.32 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)
% 90.14/90.32 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)
% 90.14/90.32 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)
% 90.14/90.32 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)
% 90.14/90.32 Clause #868 (by clausification #[864]): ∀ (a a_1 : Iota), Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) True
% 90.14/90.32 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
% 90.14/90.32 Clause #3708 (by clausification #[800]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.32 Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False)
% 90.14/90.32 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.32 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False))
% 90.14/90.32 Clause #3709 (by forward demodulation #[3708, 868]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.32 Or (Eq True False)
% 90.14/90.32 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.32 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False))
% 90.14/90.32 Clause #3710 (by clausification #[3709]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.32 Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.32 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp1) False)
% 90.14/90.32 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)
% 90.14/90.32 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
% 90.14/90.32 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)
% 90.14/90.32 Clause #3751 (by clausification #[801]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.32 Or (Eq (occurrence_of (skS.0 13 (skS.0 17 a) a_1) tptp3) False)
% 90.14/90.32 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.36 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False))
% 90.14/90.36 Clause #3752 (by forward demodulation #[3751, 868]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.36 Or (Eq True False)
% 90.14/90.36 (Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.36 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False))
% 90.14/90.36 Clause #3753 (by clausification #[3752]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.14/90.36 Or (Eq (root_occ (skS.0 13 (skS.0 17 a) a_1) (skS.0 17 a_2)) False)
% 90.14/90.36 (Eq (occurrence_of (skS.0 15 (skS.0 17 a) a_1 a_3 a_4) tptp2) False)
% 90.14/90.36 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)
% 90.14/90.36 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
% 90.14/90.36 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
% 90.14/90.36 Clause #4394 (by superposition #[4393, 3756]): Eq True False
% 90.14/90.36 Clause #4409 (by clausification #[4394]): False
% 90.14/90.36 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------