TSTP Solution File: REL023+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : REL023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 13:37:46 EDT 2023
% Result : Theorem 45.61s 45.81s
% Output : Proof 45.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.17/0.35 % Computer : n015.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 19:38:07 EDT 2023
% 0.17/0.35 % CPUTime :
% 45.61/45.81 SZS status Theorem for theBenchmark.p
% 45.61/45.81 SZS output start Proof for theBenchmark.p
% 45.61/45.81 Clause #0 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (join X0 X1) (join X1 X0)) True
% 45.61/45.81 Clause #1 (by assumption #[]): Eq (∀ (X0 X1 X2 : Iota), Eq (join X0 (join X1 X2)) (join (join X0 X1) X2)) True
% 45.61/45.81 Clause #2 (by assumption #[]): Eq
% 45.61/45.81 (∀ (X0 X1 : Iota),
% 45.61/45.81 Eq X0 (join (complement (join (complement X0) (complement X1))) (complement (join (complement X0) X1))))
% 45.61/45.81 True
% 45.61/45.81 Clause #3 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (meet X0 X1) (complement (join (complement X0) (complement X1)))) True
% 45.61/45.81 Clause #5 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (composition X0 one) X0) True
% 45.61/45.81 Clause #6 (by assumption #[]): Eq (∀ (X0 X1 X2 : Iota), Eq (composition (join X0 X1) X2) (join (composition X0 X2) (composition X1 X2))) True
% 45.61/45.81 Clause #7 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (converse (converse X0)) X0) True
% 45.61/45.81 Clause #9 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (converse (composition X0 X1)) (composition (converse X1) (converse X0))) True
% 45.61/45.81 Clause #10 (by assumption #[]): Eq
% 45.61/45.81 (∀ (X0 X1 : Iota),
% 45.61/45.81 Eq (join (composition (converse X0) (complement (composition X0 X1))) (complement X1)) (complement X1))
% 45.61/45.81 True
% 45.61/45.81 Clause #11 (by assumption #[]): Eq (∀ (X0 : Iota), Eq top (join X0 (complement X0))) True
% 45.61/45.81 Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq zero (meet X0 (complement X0))) True
% 45.61/45.81 Clause #13 (by assumption #[]): Eq
% 45.61/45.81 (Not
% 45.61/45.81 (∀ (X0 X1 X2 : Iota),
% 45.61/45.81 Eq (join (composition (meet X0 (converse X1)) (meet X1 X2)) (composition X0 (meet X1 X2)))
% 45.61/45.81 (composition X0 (meet X1 X2))))
% 45.61/45.81 True
% 45.61/45.81 Clause #14 (by clausification #[7]): ∀ (a : Iota), Eq (Eq (converse (converse a)) a) True
% 45.61/45.81 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (converse (converse a)) a
% 45.61/45.81 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (composition a one) a) True
% 45.61/45.81 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (composition a one) a
% 45.61/45.81 Clause #18 (by clausification #[12]): ∀ (a : Iota), Eq (Eq zero (meet a (complement a))) True
% 45.61/45.81 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq zero (meet a (complement a))
% 45.61/45.81 Clause #20 (by clausification #[11]): ∀ (a : Iota), Eq (Eq top (join a (complement a))) True
% 45.61/45.81 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq top (join a (complement a))
% 45.61/45.81 Clause #22 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (join a X1) (join X1 a)) True
% 45.61/45.81 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Eq (Eq (join a a_1) (join a_1 a)) True
% 45.61/45.81 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (join a a_1) (join a_1 a)
% 45.61/45.81 Clause #25 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (X1 X2 : Iota), Eq (join a (join X1 X2)) (join (join a X1) X2)) True
% 45.61/45.81 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (∀ (X2 : Iota), Eq (join a (join a_1 X2)) (join (join a a_1) X2)) True
% 45.61/45.81 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (Eq (join a (join a_1 a_2)) (join (join a a_1) a_2)) True
% 45.61/45.81 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Eq (join a (join a_1 a_2)) (join (join a a_1) a_2)
% 45.61/45.81 Clause #29 (by superposition #[28, 21]): ∀ (a a_1 : Iota), Eq top (join a (join a_1 (complement (join a a_1))))
% 45.61/45.81 Clause #30 (by superposition #[28, 24]): ∀ (a a_1 a_2 : Iota), Eq (join a (join a_1 a_2)) (join a_2 (join a a_1))
% 45.61/45.81 Clause #33 (by superposition #[28, 21]): ∀ (a a_1 : Iota), Eq (join a (join (complement a) a_1)) (join top a_1)
% 45.61/45.81 Clause #38 (by superposition #[33, 21]): ∀ (a : Iota), Eq (join a top) (join top (complement (complement a)))
% 45.61/45.81 Clause #39 (by superposition #[33, 24]): ∀ (a a_1 : Iota), Eq (join a (join a_1 (complement a))) (join top a_1)
% 45.61/45.81 Clause #44 (by superposition #[39, 38]): ∀ (a : Iota), Eq (join (complement a) (join a top)) (join top top)
% 45.61/45.81 Clause #51 (by clausification #[2]): ∀ (a : Iota),
% 45.61/45.81 Eq
% 45.61/45.81 (∀ (X1 : Iota),
% 45.61/45.81 Eq a (join (complement (join (complement a) (complement X1))) (complement (join (complement a) X1))))
% 45.61/45.81 True
% 45.61/45.81 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota),
% 45.61/45.81 Eq (Eq a (join (complement (join (complement a) (complement a_1))) (complement (join (complement a) a_1)))) True
% 45.61/45.83 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Eq a (join (complement (join (complement a) (complement a_1))) (complement (join (complement a) a_1)))
% 45.61/45.83 Clause #55 (by superposition #[53, 39]): ∀ (a a_1 : Iota), Eq (join (join (complement a) a_1) a) (join top (complement (join (complement a) (complement a_1))))
% 45.61/45.83 Clause #58 (by superposition #[53, 24]): ∀ (a a_1 : Iota), Eq a (join (complement (join (complement a) a_1)) (complement (join (complement a) (complement a_1))))
% 45.61/45.83 Clause #61 (by superposition #[53, 44]): ∀ (a : Iota), Eq a (join (complement (join (complement a) (complement (join a top)))) (complement (join top top)))
% 45.61/45.83 Clause #63 (by superposition #[53, 33]): ∀ (a a_1 : Iota),
% 45.61/45.83 Eq a
% 45.61/45.83 (join (complement (join (complement a) (complement (join (complement (complement a)) a_1))))
% 45.61/45.83 (complement (join top a_1)))
% 45.61/45.83 Clause #65 (by superposition #[53, 24]): ∀ (a a_1 : Iota), Eq a (join (complement (join (complement a) (complement a_1))) (complement (join a_1 (complement a))))
% 45.61/45.83 Clause #81 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (meet a X1) (complement (join (complement a) (complement X1)))) True
% 45.61/45.83 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (Eq (meet a a_1) (complement (join (complement a) (complement a_1)))) True
% 45.61/45.83 Clause #83 (by clausification #[82]): ∀ (a a_1 : Iota), Eq (meet a a_1) (complement (join (complement a) (complement a_1)))
% 45.61/45.83 Clause #94 (by superposition #[83, 21]): ∀ (a : Iota), Eq (meet a (complement a)) (complement top)
% 45.61/45.83 Clause #95 (by superposition #[83, 24]): ∀ (a a_1 : Iota), Eq (meet a a_1) (complement (join (complement a_1) (complement a)))
% 45.61/45.83 Clause #96 (by superposition #[94, 19]): Eq zero (complement top)
% 45.61/45.83 Clause #101 (by superposition #[96, 21]): Eq top (join top zero)
% 45.61/45.83 Clause #106 (by superposition #[96, 83]): ∀ (a : Iota), Eq (meet a top) (complement (join (complement a) zero))
% 45.61/45.83 Clause #122 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (X1 X2 : Iota), Eq (composition (join a X1) X2) (join (composition a X2) (composition X1 X2))) True
% 45.61/45.83 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota),
% 45.61/45.83 Eq (∀ (X2 : Iota), Eq (composition (join a a_1) X2) (join (composition a X2) (composition a_1 X2))) True
% 45.61/45.83 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 : Iota), Eq (Eq (composition (join a a_1) a_2) (join (composition a a_2) (composition a_1 a_2))) True
% 45.61/45.83 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 : Iota), Eq (composition (join a a_1) a_2) (join (composition a a_2) (composition a_1 a_2))
% 45.61/45.83 Clause #174 (by forward demodulation #[106, 24]): ∀ (a : Iota), Eq (meet a top) (complement (join zero (complement a)))
% 45.61/45.83 Clause #187 (by superposition #[174, 21]): Eq (meet zero top) (complement top)
% 45.61/45.83 Clause #191 (by forward demodulation #[187, 96]): Eq (meet zero top) zero
% 45.61/45.83 Clause #193 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (converse (composition a X1)) (composition (converse X1) (converse a))) True
% 45.61/45.83 Clause #194 (by clausification #[193]): ∀ (a a_1 : Iota), Eq (Eq (converse (composition a a_1)) (composition (converse a_1) (converse a))) True
% 45.61/45.83 Clause #195 (by clausification #[194]): ∀ (a a_1 : Iota), Eq (converse (composition a a_1)) (composition (converse a_1) (converse a))
% 45.61/45.83 Clause #199 (by superposition #[195, 15]): ∀ (a a_1 : Iota), Eq (converse (composition (converse a) a_1)) (composition (converse a_1) a)
% 45.61/45.83 Clause #207 (by clausification #[10]): ∀ (a : Iota),
% 45.61/45.83 Eq
% 45.61/45.83 (∀ (X1 : Iota),
% 45.61/45.83 Eq (join (composition (converse a) (complement (composition a X1))) (complement X1)) (complement X1))
% 45.61/45.83 True
% 45.61/45.83 Clause #208 (by clausification #[207]): ∀ (a a_1 : Iota),
% 45.61/45.83 Eq (Eq (join (composition (converse a) (complement (composition a a_1))) (complement a_1)) (complement a_1)) True
% 45.61/45.83 Clause #209 (by clausification #[208]): ∀ (a a_1 : Iota),
% 45.61/45.83 Eq (join (composition (converse a) (complement (composition a a_1))) (complement a_1)) (complement a_1)
% 45.61/45.83 Clause #240 (by clausification #[13]): Eq
% 45.61/45.83 (∀ (X0 X1 X2 : Iota),
% 45.61/45.83 Eq (join (composition (meet X0 (converse X1)) (meet X1 X2)) (composition X0 (meet X1 X2)))
% 45.68/45.85 (composition X0 (meet X1 X2)))
% 45.68/45.85 False
% 45.68/45.85 Clause #241 (by clausification #[240]): ∀ (a : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (Not
% 45.68/45.85 (∀ (X1 X2 : Iota),
% 45.68/45.85 Eq (join (composition (meet (skS.0 0 a) (converse X1)) (meet X1 X2)) (composition (skS.0 0 a) (meet X1 X2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet X1 X2))))
% 45.68/45.85 True
% 45.68/45.85 Clause #242 (by clausification #[241]): ∀ (a : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (∀ (X1 X2 : Iota),
% 45.68/45.85 Eq (join (composition (meet (skS.0 0 a) (converse X1)) (meet X1 X2)) (composition (skS.0 0 a) (meet X1 X2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet X1 X2)))
% 45.68/45.85 False
% 45.68/45.85 Clause #243 (by clausification #[242]): ∀ (a a_1 : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (Not
% 45.68/45.85 (∀ (X2 : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (join (composition (meet (skS.0 0 a) (converse (skS.0 1 a a_1))) (meet (skS.0 1 a a_1) X2))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) X2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) X2))))
% 45.68/45.85 True
% 45.68/45.85 Clause #244 (by clausification #[243]): ∀ (a a_1 : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (∀ (X2 : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (join (composition (meet (skS.0 0 a) (converse (skS.0 1 a a_1))) (meet (skS.0 1 a a_1) X2))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) X2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) X2)))
% 45.68/45.85 False
% 45.68/45.85 Clause #245 (by clausification #[244]): ∀ (a a_1 a_2 : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (Not
% 45.68/45.85 (Eq
% 45.68/45.85 (join (composition (meet (skS.0 0 a) (converse (skS.0 1 a a_1))) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))))
% 45.68/45.85 True
% 45.68/45.85 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 : Iota),
% 45.68/45.85 Eq
% 45.68/45.85 (Eq
% 45.68/45.85 (join (composition (meet (skS.0 0 a) (converse (skS.0 1 a a_1))) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 45.68/45.85 False
% 45.68/45.85 Clause #247 (by clausification #[246]): ∀ (a a_1 a_2 : Iota),
% 45.68/45.85 Ne
% 45.68/45.85 (join (composition (meet (skS.0 0 a) (converse (skS.0 1 a a_1))) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 Clause #248 (by forward demodulation #[247, 125]): ∀ (a a_1 a_2 : Iota),
% 45.68/45.85 Ne
% 45.68/45.85 (composition (join (meet (skS.0 0 a) (converse (skS.0 1 a a_1))) (skS.0 0 a))
% 45.68/45.85 (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 Clause #249 (by forward demodulation #[248, 24]): ∀ (a a_1 a_2 : Iota),
% 45.68/45.85 Ne
% 45.68/45.85 (composition (join (skS.0 0 a) (meet (skS.0 0 a) (converse (skS.0 1 a a_1))))
% 45.68/45.85 (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 (composition (skS.0 0 a) (meet (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 45.68/45.85 Clause #347 (by superposition #[30, 21]): ∀ (a a_1 : Iota), Eq (join a top) (join (complement a_1) (join a a_1))
% 45.68/45.85 Clause #924 (by superposition #[347, 33]): ∀ (a : Iota), Eq (join (complement (complement a)) top) (join top a)
% 45.68/45.85 Clause #1463 (by forward demodulation #[55, 28]): ∀ (a a_1 : Iota), Eq (join (complement a) (join a_1 a)) (join top (complement (join (complement a) (complement a_1))))
% 45.68/45.85 Clause #1464 (by forward demodulation #[1463, 347]): ∀ (a a_1 : Iota), Eq (join a top) (join top (complement (join (complement a_1) (complement a))))
% 45.68/45.85 Clause #1465 (by forward demodulation #[1464, 83]): ∀ (a a_1 : Iota), Eq (join a top) (join top (meet a_1 a))
% 45.68/45.85 Clause #1479 (by superposition #[1465, 19]): ∀ (a : Iota), Eq (join (complement a) top) (join top zero)
% 45.68/45.85 Clause #1551 (by forward demodulation #[1479, 101]): ∀ (a : Iota), Eq (join (complement a) top) top
% 45.68/45.85 Clause #1553 (by superposition #[1551, 924]): ∀ (a : Iota), Eq top (join top a)
% 45.68/45.85 Clause #1589 (by superposition #[1553, 29]): ∀ (a : Iota), Eq top (join a top)
% 45.68/45.85 Clause #1644 (by forward demodulation #[58, 83]): ∀ (a a_1 : Iota), Eq a (join (complement (join (complement a) a_1)) (meet a a_1))
% 45.74/45.94 Clause #1721 (by forward demodulation #[61, 1589]): ∀ (a : Iota), Eq a (join (complement (join (complement a) (complement (join a top)))) (complement top))
% 45.74/45.94 Clause #1722 (by forward demodulation #[1721, 96]): ∀ (a : Iota), Eq a (join (complement (join (complement a) (complement (join a top)))) zero)
% 45.74/45.94 Clause #1723 (by forward demodulation #[1722, 83]): ∀ (a : Iota), Eq a (join (meet a (join a top)) zero)
% 45.74/45.94 Clause #1724 (by forward demodulation #[1723, 1589]): ∀ (a : Iota), Eq a (join (meet a top) zero)
% 45.74/45.94 Clause #1727 (by superposition #[1724, 24]): ∀ (a : Iota), Eq (join zero (meet a top)) a
% 45.74/45.94 Clause #1733 (by superposition #[1724, 191]): Eq zero (join zero zero)
% 45.74/45.94 Clause #1740 (by superposition #[1733, 28]): ∀ (a : Iota), Eq (join zero (join zero a)) (join zero a)
% 45.74/45.94 Clause #1779 (by forward demodulation #[63, 1553]): ∀ (a a_1 : Iota),
% 45.74/45.94 Eq a (join (complement (join (complement a) (complement (join (complement (complement a)) a_1)))) (complement top))
% 45.74/45.94 Clause #1780 (by forward demodulation #[1779, 96]): ∀ (a a_1 : Iota),
% 45.74/45.94 Eq a (join (complement (join (complement a) (complement (join (complement (complement a)) a_1)))) zero)
% 45.74/45.94 Clause #1781 (by forward demodulation #[1780, 83]): ∀ (a a_1 : Iota), Eq a (join (meet a (join (complement (complement a)) a_1)) zero)
% 45.74/45.94 Clause #1832 (by forward demodulation #[65, 83]): ∀ (a a_1 : Iota), Eq a (join (meet a a_1) (complement (join a_1 (complement a))))
% 45.74/45.94 Clause #2535 (by superposition #[95, 1644]): ∀ (a a_1 : Iota), Eq a (join (meet a_1 a) (meet a (complement a_1)))
% 45.74/45.94 Clause #2677 (by superposition #[1740, 1727]): ∀ (a : Iota), Eq (join zero a) a
% 45.74/45.94 Clause #2680 (by backward demodulation #[2677, 174]): ∀ (a : Iota), Eq (meet a top) (complement (complement a))
% 45.74/45.94 Clause #2683 (by superposition #[2677, 1727]): ∀ (a : Iota), Eq (meet a top) a
% 45.74/45.94 Clause #2696 (by superposition #[2677, 24]): ∀ (a : Iota), Eq (join a zero) a
% 45.74/45.94 Clause #2829 (by forward demodulation #[2680, 2683]): ∀ (a : Iota), Eq a (complement (complement a))
% 45.74/45.94 Clause #2830 (by backward demodulation #[2829, 1781]): ∀ (a a_1 : Iota), Eq a (join (meet a (join a a_1)) zero)
% 45.74/45.94 Clause #3090 (by superposition #[2830, 2696]): ∀ (a a_1 : Iota), Eq a (meet a (join a a_1))
% 45.74/45.94 Clause #3202 (by superposition #[3090, 1832]): ∀ (a a_1 : Iota), Eq (meet a a_1) (meet (meet a a_1) a)
% 45.74/45.94 Clause #4297 (by superposition #[199, 17]): ∀ (a : Iota), Eq (converse (converse a)) (composition (converse one) a)
% 45.74/45.94 Clause #4299 (by forward demodulation #[4297, 15]): ∀ (a : Iota), Eq a (composition (converse one) a)
% 45.74/45.94 Clause #4301 (by superposition #[4299, 209]): ∀ (a : Iota), Eq (join (complement (composition one a)) (complement a)) (complement a)
% 45.74/45.94 Clause #4303 (by superposition #[4299, 17]): Eq one (converse one)
% 45.74/45.94 Clause #4328 (by backward demodulation #[4303, 4299]): ∀ (a : Iota), Eq a (composition one a)
% 45.74/45.94 Clause #14308 (by forward demodulation #[4301, 4328]): ∀ (a : Iota), Eq (join (complement a) (complement a)) (complement a)
% 45.74/45.94 Clause #14350 (by superposition #[14308, 2829]): ∀ (a : Iota), Eq (join a a) a
% 45.74/45.94 Clause #14395 (by superposition #[14350, 28]): ∀ (a a_1 : Iota), Eq (join a (join a a_1)) (join a a_1)
% 45.74/45.94 Clause #15117 (by superposition #[2535, 14395]): ∀ (a a_1 : Iota), Eq (join (meet a a_1) a_1) a_1
% 45.74/45.94 Clause #15279 (by superposition #[15117, 3202]): ∀ (a a_1 : Iota), Eq (join (meet a a_1) a) a
% 45.74/45.94 Clause #15315 (by superposition #[15279, 24]): ∀ (a a_1 : Iota), Eq (join a (meet a a_1)) a
% 45.74/45.94 Clause #15363 (by backward positive simplify reflect #[15315, 249]): False
% 45.74/45.94 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------