TSTP Solution File: PHI012+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 12:55:17 EDT 2023
% Result : Theorem 4.32s 4.52s
% Output : Proof 4.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PHI012+1 : TPTP v8.1.2. Released v7.2.0.
% 0.12/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 08:49:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.32/4.52 SZS status Theorem for theBenchmark.p
% 4.32/4.52 SZS output start Proof for theBenchmark.p
% 4.32/4.52 Clause #0 (by assumption #[]): Eq
% 4.32/4.52 (∀ (X : Iota),
% 4.32/4.52 object X →
% 4.32/4.52 Iff (exemplifies_property none_greater X)
% 4.32/4.52 (And (exemplifies_property conceivable X)
% 4.32/4.52 (Not
% 4.32/4.52 (Exists fun Y =>
% 4.32/4.52 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y)))))
% 4.32/4.52 True
% 4.32/4.52 Clause #1 (by assumption #[]): Eq
% 4.32/4.52 (∀ (X Y : Iota),
% 4.32/4.52 And (object X) (object Y) →
% 4.32/4.52 Or (Or (exemplifies_relation greater_than X Y) (exemplifies_relation greater_than Y X)) (Eq X Y))
% 4.32/4.52 True
% 4.32/4.52 Clause #2 (by assumption #[]): Eq
% 4.32/4.52 (Not
% 4.32/4.52 ((Exists fun X => And (object X) (exemplifies_property none_greater X)) →
% 4.32/4.52 Exists fun X =>
% 4.32/4.52 And (And (object X) (exemplifies_property none_greater X))
% 4.32/4.52 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y X)))
% 4.32/4.52 True
% 4.32/4.52 Clause #3 (by clausification #[1]): ∀ (a : Iota),
% 4.32/4.52 Eq
% 4.32/4.52 (∀ (Y : Iota),
% 4.32/4.52 And (object a) (object Y) →
% 4.32/4.52 Or (Or (exemplifies_relation greater_than a Y) (exemplifies_relation greater_than Y a)) (Eq a Y))
% 4.32/4.52 True
% 4.32/4.52 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 4.32/4.52 Eq
% 4.32/4.52 (And (object a) (object a_1) →
% 4.32/4.52 Or (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) (Eq a a_1))
% 4.32/4.52 True
% 4.32/4.52 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota),
% 4.32/4.52 Or (Eq (And (object a) (object a_1)) False)
% 4.32/4.52 (Eq (Or (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) (Eq a a_1)) True)
% 4.32/4.52 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota),
% 4.32/4.52 Or (Eq (Or (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) (Eq a a_1)) True)
% 4.32/4.52 (Or (Eq (object a) False) (Eq (object a_1) False))
% 4.32/4.52 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 4.32/4.52 Or (Eq (object a) False)
% 4.32/4.52 (Or (Eq (object a_1) False)
% 4.32/4.52 (Or (Eq (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) True)
% 4.32/4.52 (Eq (Eq a a_1) True)))
% 4.32/4.52 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 4.32/4.52 Or (Eq (object a) False)
% 4.32/4.52 (Or (Eq (object a_1) False)
% 4.32/4.52 (Or (Eq (Eq a a_1) True)
% 4.32/4.52 (Or (Eq (exemplifies_relation greater_than a a_1) True) (Eq (exemplifies_relation greater_than a_1 a) True))))
% 4.32/4.52 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 4.32/4.52 Or (Eq (object a) False)
% 4.32/4.52 (Or (Eq (object a_1) False)
% 4.32/4.52 (Or (Eq (exemplifies_relation greater_than a a_1) True)
% 4.32/4.52 (Or (Eq (exemplifies_relation greater_than a_1 a) True) (Eq a a_1))))
% 4.32/4.52 Clause #10 (by clausification #[2]): Eq
% 4.32/4.52 ((Exists fun X => And (object X) (exemplifies_property none_greater X)) →
% 4.32/4.52 Exists fun X =>
% 4.32/4.52 And (And (object X) (exemplifies_property none_greater X))
% 4.32/4.52 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y X))
% 4.32/4.52 False
% 4.32/4.52 Clause #11 (by clausification #[10]): Eq (Exists fun X => And (object X) (exemplifies_property none_greater X)) True
% 4.32/4.52 Clause #12 (by clausification #[10]): Eq
% 4.32/4.52 (Exists fun X =>
% 4.32/4.52 And (And (object X) (exemplifies_property none_greater X))
% 4.32/4.52 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y X))
% 4.32/4.52 False
% 4.32/4.52 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (And (object (skS.0 0 a)) (exemplifies_property none_greater (skS.0 0 a))) True
% 4.32/4.52 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (exemplifies_property none_greater (skS.0 0 a)) True
% 4.32/4.52 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (object (skS.0 0 a)) True
% 4.32/4.52 Clause #16 (by superposition #[15, 9]): ∀ (a a_1 : Iota),
% 4.32/4.52 Or (Eq True False)
% 4.32/4.52 (Or (Eq (object a) False)
% 4.32/4.52 (Or (Eq (exemplifies_relation greater_than (skS.0 0 a_1) a) True)
% 4.32/4.52 (Or (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) True) (Eq (skS.0 0 a_1) a))))
% 4.32/4.52 Clause #17 (by clausification #[12]): ∀ (a : Iota),
% 4.32/4.52 Eq
% 4.32/4.52 (And (And (object a) (exemplifies_property none_greater a))
% 4.32/4.52 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y a))
% 4.32/4.52 False
% 4.32/4.52 Clause #18 (by clausification #[17]): ∀ (a : Iota),
% 4.32/4.54 Or (Eq (And (object a) (exemplifies_property none_greater a)) False)
% 4.32/4.54 (Eq (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y a) False)
% 4.32/4.54 Clause #19 (by clausification #[18]): ∀ (a : Iota),
% 4.32/4.54 Or (Eq (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y a) False)
% 4.32/4.54 (Or (Eq (object a) False) (Eq (exemplifies_property none_greater a) False))
% 4.32/4.54 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (object a) False)
% 4.32/4.54 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.54 (Eq (Not (object (skS.0 1 a a_1) → exemplifies_property none_greater (skS.0 1 a a_1) → Eq (skS.0 1 a a_1) a))
% 4.32/4.54 True))
% 4.32/4.54 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (object a) False)
% 4.32/4.54 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.54 (Eq (object (skS.0 1 a a_1) → exemplifies_property none_greater (skS.0 1 a a_1) → Eq (skS.0 1 a a_1) a) False))
% 4.32/4.54 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Eq (object (skS.0 1 a a_1)) True))
% 4.32/4.54 Clause #23 (by clausification #[21]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (object a) False)
% 4.32/4.54 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.54 (Eq (exemplifies_property none_greater (skS.0 1 a a_1) → Eq (skS.0 1 a a_1) a) False))
% 4.32/4.54 Clause #24 (by superposition #[22, 15]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 4.32/4.54 (Or (Eq (object (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True))
% 4.32/4.54 Clause #25 (by clausification #[23]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (object a) False)
% 4.32/4.54 (Or (Eq (exemplifies_property none_greater a) False) (Eq (exemplifies_property none_greater (skS.0 1 a a_1)) True))
% 4.32/4.54 Clause #26 (by clausification #[23]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Eq (Eq (skS.0 1 a a_1) a) False))
% 4.32/4.54 Clause #27 (by superposition #[25, 15]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 4.32/4.54 (Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True))
% 4.32/4.54 Clause #28 (by clausification #[0]): ∀ (a : Iota),
% 4.32/4.54 Eq
% 4.32/4.54 (object a →
% 4.32/4.54 Iff (exemplifies_property none_greater a)
% 4.32/4.54 (And (exemplifies_property conceivable a)
% 4.32/4.54 (Not
% 4.32/4.54 (Exists fun Y =>
% 4.32/4.54 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))))
% 4.32/4.54 True
% 4.32/4.54 Clause #29 (by clausification #[28]): ∀ (a : Iota),
% 4.32/4.54 Or (Eq (object a) False)
% 4.32/4.54 (Eq
% 4.32/4.54 (Iff (exemplifies_property none_greater a)
% 4.32/4.54 (And (exemplifies_property conceivable a)
% 4.32/4.54 (Not
% 4.32/4.54 (Exists fun Y =>
% 4.32/4.54 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))))
% 4.32/4.54 True)
% 4.32/4.54 Clause #31 (by clausification #[29]): ∀ (a : Iota),
% 4.32/4.54 Or (Eq (object a) False)
% 4.32/4.54 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.54 (Eq
% 4.32/4.54 (And (exemplifies_property conceivable a)
% 4.32/4.54 (Not
% 4.32/4.54 (Exists fun Y =>
% 4.32/4.54 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))))
% 4.32/4.54 True))
% 4.32/4.54 Clause #38 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Ne (skS.0 1 a a_1) a))
% 4.32/4.54 Clause #39 (by superposition #[38, 15]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 4.32/4.54 (Or (Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) (Eq False True))
% 4.32/4.54 Clause #40 (by clausification #[24]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Eq (object (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.32/4.54 Clause #41 (by forward demodulation #[40, 14]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (object (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.32/4.54 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (object (skS.0 1 (skS.0 0 a) a_1)) True
% 4.32/4.54 Clause #48 (by clausification #[27]): ∀ (a a_1 : Iota),
% 4.32/4.54 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 4.32/4.56 (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.32/4.56 Clause #49 (by forward demodulation #[48, 14]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.32/4.56 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True
% 4.32/4.56 Clause #51 (by clausification #[31]): ∀ (a : Iota),
% 4.32/4.56 Or (Eq (object a) False)
% 4.32/4.56 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.56 (Eq
% 4.32/4.56 (Not
% 4.32/4.56 (Exists fun Y =>
% 4.32/4.56 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))
% 4.32/4.56 True))
% 4.32/4.56 Clause #52 (by clausification #[31]): ∀ (a : Iota),
% 4.32/4.56 Or (Eq (object a) False)
% 4.32/4.56 (Or (Eq (exemplifies_property none_greater a) False) (Eq (exemplifies_property conceivable a) True))
% 4.32/4.56 Clause #53 (by clausification #[51]): ∀ (a : Iota),
% 4.32/4.56 Or (Eq (object a) False)
% 4.32/4.56 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.56 (Eq
% 4.32/4.56 (Exists fun Y =>
% 4.32/4.56 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 4.32/4.56 False))
% 4.32/4.56 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota),
% 4.32/4.56 Or (Eq (object a) False)
% 4.32/4.56 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.56 (Eq (And (And (object a_1) (exemplifies_relation greater_than a_1 a)) (exemplifies_property conceivable a_1))
% 4.32/4.56 False))
% 4.32/4.56 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota),
% 4.32/4.56 Or (Eq (object a) False)
% 4.32/4.56 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.56 (Or (Eq (And (object a_1) (exemplifies_relation greater_than a_1 a)) False)
% 4.32/4.56 (Eq (exemplifies_property conceivable a_1) False)))
% 4.32/4.56 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota),
% 4.32/4.56 Or (Eq (object a) False)
% 4.32/4.56 (Or (Eq (exemplifies_property none_greater a) False)
% 4.32/4.56 (Or (Eq (exemplifies_property conceivable a_1) False)
% 4.32/4.56 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 a) False))))
% 4.32/4.56 Clause #57 (by superposition #[56, 15]): ∀ (a a_1 : Iota),
% 4.32/4.56 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 4.32/4.56 (Or (Eq (exemplifies_property conceivable a_1) False)
% 4.32/4.56 (Or (Eq (object a_1) False) (Or (Eq (exemplifies_relation greater_than a_1 (skS.0 0 a)) False) (Eq False True))))
% 4.32/4.56 Clause #58 (by superposition #[56, 42]): ∀ (a a_1 a_2 : Iota),
% 4.32/4.56 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False)
% 4.32/4.56 (Or (Eq (exemplifies_property conceivable a_2) False)
% 4.32/4.56 (Or (Eq (object a_2) False)
% 4.32/4.56 (Or (Eq (exemplifies_relation greater_than a_2 (skS.0 1 (skS.0 0 a) a_1)) False) (Eq False True))))
% 4.32/4.56 Clause #59 (by superposition #[52, 15]): ∀ (a : Iota),
% 4.32/4.56 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 4.32/4.56 (Or (Eq (exemplifies_property conceivable (skS.0 0 a)) True) (Eq False True))
% 4.32/4.56 Clause #60 (by superposition #[52, 42]): ∀ (a a_1 : Iota),
% 4.32/4.56 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False)
% 4.32/4.56 (Or (Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True))
% 4.32/4.56 Clause #61 (by clausification #[16]): ∀ (a a_1 : Iota),
% 4.32/4.56 Or (Eq (object a) False)
% 4.32/4.56 (Or (Eq (exemplifies_relation greater_than (skS.0 0 a_1) a) True)
% 4.32/4.56 (Or (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) True) (Eq (skS.0 0 a_1) a)))
% 4.32/4.56 Clause #63 (by superposition #[61, 42]): ∀ (a a_1 a_2 : Iota),
% 4.32/4.56 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True)
% 4.32/4.56 (Or (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a_1) a_2) (skS.0 0 a)) True)
% 4.32/4.56 (Or (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) (Eq False True)))
% 4.32/4.56 Clause #64 (by clausification #[59]): ∀ (a : Iota),
% 4.32/4.56 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Eq (exemplifies_property conceivable (skS.0 0 a)) True)
% 4.32/4.56 Clause #65 (by forward demodulation #[64, 14]): ∀ (a : Iota), Or (Eq True False) (Eq (exemplifies_property conceivable (skS.0 0 a)) True)
% 4.32/4.56 Clause #66 (by clausification #[65]): ∀ (a : Iota), Eq (exemplifies_property conceivable (skS.0 0 a)) True
% 4.42/4.58 Clause #67 (by clausification #[57]): ∀ (a a_1 : Iota),
% 4.42/4.58 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 4.42/4.58 (Or (Eq (exemplifies_property conceivable a_1) False)
% 4.42/4.58 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 (skS.0 0 a)) False)))
% 4.42/4.58 Clause #68 (by forward demodulation #[67, 14]): ∀ (a a_1 : Iota),
% 4.42/4.58 Or (Eq True False)
% 4.42/4.58 (Or (Eq (exemplifies_property conceivable a) False)
% 4.42/4.58 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) False)))
% 4.42/4.58 Clause #69 (by clausification #[68]): ∀ (a a_1 : Iota),
% 4.42/4.58 Or (Eq (exemplifies_property conceivable a) False)
% 4.42/4.58 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) False))
% 4.42/4.58 Clause #74 (by clausification #[39]): ∀ (a a_1 : Iota),
% 4.42/4.58 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a))
% 4.42/4.58 Clause #75 (by forward demodulation #[74, 14]): ∀ (a a_1 : Iota), Or (Eq True False) (Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a))
% 4.42/4.58 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)
% 4.42/4.58 Clause #85 (by clausification #[60]): ∀ (a a_1 : Iota),
% 4.42/4.58 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False)
% 4.42/4.58 (Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.42/4.58 Clause #86 (by forward demodulation #[85, 50]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True)
% 4.42/4.58 Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True
% 4.42/4.58 Clause #88 (by superposition #[87, 69]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq True False)
% 4.42/4.58 (Or (Eq (object (skS.0 1 (skS.0 0 a) a_1)) False)
% 4.42/4.58 (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False))
% 4.42/4.58 Clause #91 (by clausification #[88]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq (object (skS.0 1 (skS.0 0 a) a_1)) False)
% 4.42/4.58 (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False)
% 4.42/4.58 Clause #92 (by forward demodulation #[91, 42]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq True False) (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False)
% 4.42/4.58 Clause #93 (by clausification #[92]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False
% 4.42/4.58 Clause #114 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False)
% 4.42/4.58 (Or (Eq (exemplifies_property conceivable a_2) False)
% 4.42/4.58 (Or (Eq (object a_2) False) (Eq (exemplifies_relation greater_than a_2 (skS.0 1 (skS.0 0 a) a_1)) False)))
% 4.42/4.58 Clause #115 (by forward demodulation #[114, 50]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq True False)
% 4.42/4.58 (Or (Eq (exemplifies_property conceivable a) False)
% 4.42/4.58 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 1 (skS.0 0 a_1) a_2)) False)))
% 4.42/4.58 Clause #116 (by clausification #[115]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq (exemplifies_property conceivable a) False)
% 4.42/4.58 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 1 (skS.0 0 a_1) a_2)) False))
% 4.42/4.58 Clause #117 (by superposition #[116, 66]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq (object (skS.0 0 a)) False)
% 4.42/4.58 (Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False) (Eq False True))
% 4.42/4.58 Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq (object (skS.0 0 a)) False)
% 4.42/4.58 (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False)
% 4.42/4.58 Clause #120 (by forward demodulation #[119, 15]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq True False) (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False)
% 4.42/4.58 Clause #121 (by clausification #[120]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False
% 4.42/4.58 Clause #169 (by clausification #[63]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.58 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True)
% 4.42/4.58 (Or (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a_1) a_2) (skS.0 0 a)) True)
% 4.42/4.59 (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)))
% 4.42/4.59 Clause #171 (by superposition #[169, 93]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.59 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True)
% 4.42/4.59 (Or (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) (Eq True False))
% 4.42/4.59 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota),
% 4.42/4.59 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True)
% 4.42/4.59 (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2))
% 4.42/4.59 Clause #173 (by superposition #[172, 121]): ∀ (a a_1 a_2 : Iota), Or (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) (Eq True False)
% 4.42/4.59 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)
% 4.42/4.59 Clause #175 (by backward contextual literal cutting #[174, 76]): False
% 4.42/4.59 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------