TSTP Solution File: SYO500^1.002 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO500^1.002 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 Sep 1 04:22:50 EDT 2023
% Result : Theorem 3.91s 4.07s
% Output : Proof 4.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO500^1.002 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 04:42:21 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.91/4.07 SZS status Theorem for theBenchmark.p
% 3.91/4.07 SZS output start Proof for theBenchmark.p
% 3.91/4.07 Clause #0 (by assumption #[]): Eq (Not (Eq (f0 (f0 (f0 (f1 x)))) (f0 (f1 (f1 (f1 x)))))) True
% 3.91/4.07 Clause #1 (by clausification #[0]): Eq (Eq (f0 (f0 (f0 (f1 x)))) (f0 (f1 (f1 (f1 x))))) False
% 3.91/4.07 Clause #2 (by clausification #[1]): Ne (f0 (f0 (f0 (f1 x)))) (f0 (f1 (f1 (f1 x))))
% 3.91/4.07 Clause #3 (by clausification #[2]): Or (Eq (f0 (f0 (f0 (f1 x)))) False) (Eq (f0 (f1 (f1 (f1 x)))) False)
% 3.91/4.07 Clause #4 (by clausification #[2]): Or (Eq (f0 (f0 (f0 (f1 x)))) True) (Eq (f0 (f1 (f1 (f1 x)))) True)
% 3.91/4.07 Clause #5 (by identity loobHoist #[3]): Or (Eq (f0 (f1 (f1 (f1 x)))) False) (Or (Eq (f0 True) False) (Eq (f0 (f0 (f1 x))) False))
% 3.91/4.07 Clause #6 (by identity boolHoist #[3]): Or (Eq (f0 (f1 (f1 (f1 x)))) False) (Or (Eq (f0 False) False) (Eq (f0 (f0 (f1 x))) True))
% 3.91/4.07 Clause #7 (by identity loobHoist #[5]): Or (Eq (f0 True) False) (Or (Eq (f0 (f0 (f1 x))) False) (Or (Eq (f0 True) False) (Eq (f1 (f1 (f1 x))) False)))
% 3.91/4.07 Clause #8 (by identity boolHoist #[5]): Or (Eq (f0 True) False) (Or (Eq (f0 (f0 (f1 x))) False) (Or (Eq (f0 False) False) (Eq (f1 (f1 (f1 x))) True)))
% 3.91/4.07 Clause #9 (by eliminate duplicate literals #[7]): Or (Eq (f0 True) False) (Or (Eq (f0 (f0 (f1 x))) False) (Eq (f1 (f1 (f1 x))) False))
% 3.91/4.07 Clause #10 (by identity loobHoist #[9]): Or (Eq (f0 True) False) (Or (Eq (f1 (f1 (f1 x))) False) (Or (Eq (f0 True) False) (Eq (f0 (f1 x)) False)))
% 3.91/4.07 Clause #12 (by eliminate duplicate literals #[10]): Or (Eq (f0 True) False) (Or (Eq (f1 (f1 (f1 x))) False) (Eq (f0 (f1 x)) False))
% 3.91/4.07 Clause #13 (by identity loobHoist #[12]): Or (Eq (f0 True) False) (Or (Eq (f0 (f1 x)) False) (Or (Eq (f1 True) False) (Eq (f1 (f1 x)) False)))
% 3.91/4.07 Clause #14 (by identity boolHoist #[12]): Or (Eq (f0 True) False) (Or (Eq (f0 (f1 x)) False) (Or (Eq (f1 False) False) (Eq (f1 (f1 x)) True)))
% 3.91/4.07 Clause #15 (by identity loobHoist #[13]): Or (Eq (f0 True) False)
% 3.91/4.07 (Or (Eq (f1 True) False) (Or (Eq (f1 (f1 x)) False) (Or (Eq (f0 True) False) (Eq (f1 x) False))))
% 3.91/4.07 Clause #17 (by eliminate duplicate literals #[15]): Or (Eq (f0 True) False) (Or (Eq (f1 True) False) (Or (Eq (f1 (f1 x)) False) (Eq (f1 x) False)))
% 3.91/4.07 Clause #18 (by identity loobHoist #[17]): Or (Eq (f0 True) False) (Or (Eq (f1 True) False) (Or (Eq (f1 x) False) (Or (Eq (f1 True) False) (Eq (f1 x) False))))
% 3.91/4.07 Clause #20 (by eliminate duplicate literals #[18]): Or (Eq (f0 True) False) (Or (Eq (f1 True) False) (Eq (f1 x) False))
% 3.91/4.07 Clause #21 (by identity loobHoist #[20]): Or (Eq (f0 True) False) (Or (Eq (f1 True) False) (Or (Eq (f1 True) False) (Eq x False)))
% 3.91/4.07 Clause #22 (by identity boolHoist #[20]): Or (Eq (f0 True) False) (Or (Eq (f1 True) False) (Or (Eq (f1 False) False) (Eq x True)))
% 3.91/4.07 Clause #23 (by eliminate duplicate literals #[21]): Or (Eq (f0 True) False) (Or (Eq (f1 True) False) (Eq x False))
% 3.91/4.07 Clause #24 (by identity loobHoist #[4]): Or (Eq (f0 (f1 (f1 (f1 x)))) True) (Or (Eq (f0 True) True) (Eq (f0 (f0 (f1 x))) False))
% 3.91/4.07 Clause #25 (by identity boolHoist #[4]): Or (Eq (f0 (f1 (f1 (f1 x)))) True) (Or (Eq (f0 False) True) (Eq (f0 (f0 (f1 x))) True))
% 3.91/4.07 Clause #26 (by identity loobHoist #[24]): Or (Eq (f0 True) True) (Or (Eq (f0 (f0 (f1 x))) False) (Or (Eq (f0 True) True) (Eq (f1 (f1 (f1 x))) False)))
% 3.91/4.07 Clause #28 (by eliminate duplicate literals #[26]): Or (Eq (f0 True) True) (Or (Eq (f0 (f0 (f1 x))) False) (Eq (f1 (f1 (f1 x))) False))
% 3.91/4.07 Clause #30 (by identity boolHoist #[28]): Or (Eq (f0 True) True) (Or (Eq (f1 (f1 (f1 x))) False) (Or (Eq (f0 False) False) (Eq (f0 (f1 x)) True)))
% 3.91/4.07 Clause #31 (by identity loobHoist #[14]): Or (Eq (f0 True) False)
% 3.91/4.07 (Or (Eq (f1 False) False) (Or (Eq (f1 (f1 x)) True) (Or (Eq (f0 True) False) (Eq (f1 x) False))))
% 3.91/4.07 Clause #33 (by eliminate duplicate literals #[31]): Or (Eq (f0 True) False) (Or (Eq (f1 False) False) (Or (Eq (f1 (f1 x)) True) (Eq (f1 x) False)))
% 3.91/4.07 Clause #34 (by identity loobHoist #[33]): Or (Eq (f0 True) False) (Or (Eq (f1 False) False) (Or (Eq (f1 x) False) (Or (Eq (f1 True) True) (Eq (f1 x) False))))
% 3.91/4.07 Clause #36 (by eliminate duplicate literals #[34]): Or (Eq (f0 True) False) (Or (Eq (f1 False) False) (Or (Eq (f1 x) False) (Eq (f1 True) True)))
% 3.91/4.10 Clause #38 (by identity boolHoist #[36]): Or (Eq (f0 True) False) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq x True))))
% 3.91/4.10 Clause #39 (by eliminate duplicate literals #[38]): Or (Eq (f0 True) False) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x True)))
% 3.91/4.10 Clause #41 (by identity boolHoist #[6]): Or (Eq (f0 False) False) (Or (Eq (f0 (f0 (f1 x))) True) (Or (Eq (f0 False) False) (Eq (f1 (f1 (f1 x))) True)))
% 3.91/4.10 Clause #44 (by identity loobHoist #[25]): Or (Eq (f0 False) True) (Or (Eq (f0 (f0 (f1 x))) True) (Or (Eq (f0 True) True) (Eq (f1 (f1 (f1 x))) False)))
% 3.91/4.10 Clause #45 (by identity boolHoist #[25]): Or (Eq (f0 False) True) (Or (Eq (f0 (f0 (f1 x))) True) (Or (Eq (f0 False) True) (Eq (f1 (f1 (f1 x))) True)))
% 3.91/4.10 Clause #47 (by identity boolHoist #[44]): Or (Eq (f0 False) True)
% 3.91/4.10 (Or (Eq (f0 True) True) (Or (Eq (f1 (f1 (f1 x))) False) (Or (Eq (f0 False) True) (Eq (f0 (f1 x)) True))))
% 3.91/4.10 Clause #53 (by identity loobHoist #[30]): Or (Eq (f0 True) True)
% 3.91/4.10 (Or (Eq (f0 False) False) (Or (Eq (f0 (f1 x)) True) (Or (Eq (f1 True) False) (Eq (f1 (f1 x)) False))))
% 3.91/4.10 Clause #54 (by identity boolHoist #[30]): Or (Eq (f0 True) True)
% 3.91/4.10 (Or (Eq (f0 False) False) (Or (Eq (f0 (f1 x)) True) (Or (Eq (f1 False) False) (Eq (f1 (f1 x)) True))))
% 3.91/4.10 Clause #55 (by identity loobHoist #[53]): Or (Eq (f0 True) True)
% 3.91/4.10 (Or (Eq (f0 False) False)
% 3.91/4.10 (Or (Eq (f1 True) False) (Or (Eq (f1 (f1 x)) False) (Or (Eq (f0 True) True) (Eq (f1 x) False)))))
% 3.91/4.10 Clause #57 (by eliminate duplicate literals #[55]): Or (Eq (f0 True) True)
% 3.91/4.10 (Or (Eq (f0 False) False) (Or (Eq (f1 True) False) (Or (Eq (f1 (f1 x)) False) (Eq (f1 x) False))))
% 3.91/4.10 Clause #58 (by identity loobHoist #[57]): Or (Eq (f0 True) True)
% 3.91/4.10 (Or (Eq (f0 False) False)
% 3.91/4.10 (Or (Eq (f1 True) False) (Or (Eq (f1 x) False) (Or (Eq (f1 True) False) (Eq (f1 x) False)))))
% 3.91/4.10 Clause #60 (by eliminate duplicate literals #[58]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 True) False) (Eq (f1 x) False)))
% 3.91/4.10 Clause #61 (by identity loobHoist #[60]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 True) False) (Or (Eq (f1 True) False) (Eq x False))))
% 3.91/4.10 Clause #62 (by identity boolHoist #[60]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 True) False) (Or (Eq (f1 False) False) (Eq x True))))
% 3.91/4.10 Clause #63 (by eliminate duplicate literals #[61]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 True) False) (Eq x False)))
% 3.91/4.10 Clause #68 (by identity loobHoist #[8]): Or (Eq (f0 True) False)
% 3.91/4.10 (Or (Eq (f0 False) False) (Or (Eq (f1 (f1 (f1 x))) True) (Or (Eq (f0 True) False) (Eq (f0 (f1 x)) False))))
% 3.91/4.10 Clause #70 (by eliminate duplicate literals #[68]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 (f1 (f1 x))) True) (Eq (f0 (f1 x)) False)))
% 3.91/4.10 Clause #71 (by identity loobHoist #[70]): Or (Eq (f0 True) False)
% 3.91/4.10 (Or (Eq (f0 False) False) (Or (Eq (f0 (f1 x)) False) (Or (Eq (f1 True) True) (Eq (f1 (f1 x)) False))))
% 3.91/4.10 Clause #72 (by identity boolHoist #[70]): Or (Eq (f0 True) False)
% 3.91/4.10 (Or (Eq (f0 False) False) (Or (Eq (f0 (f1 x)) False) (Or (Eq (f1 False) True) (Eq (f1 (f1 x)) True))))
% 3.91/4.10 Clause #74 (by identity boolHoist #[71]): Or (Eq (f0 True) False)
% 3.91/4.10 (Or (Eq (f0 False) False)
% 3.91/4.10 (Or (Eq (f1 True) True) (Or (Eq (f1 (f1 x)) False) (Or (Eq (f0 False) False) (Eq (f1 x) True)))))
% 3.91/4.10 Clause #82 (by eliminate duplicate literals #[41]): Or (Eq (f0 False) False) (Or (Eq (f0 (f0 (f1 x))) True) (Eq (f1 (f1 (f1 x))) True))
% 3.91/4.10 Clause #83 (by identity loobHoist #[82]): Or (Eq (f0 False) False) (Or (Eq (f1 (f1 (f1 x))) True) (Or (Eq (f0 True) True) (Eq (f0 (f1 x)) False)))
% 3.91/4.10 Clause #85 (by identity loobHoist #[83]): Or (Eq (f0 False) False)
% 3.91/4.10 (Or (Eq (f0 True) True) (Or (Eq (f0 (f1 x)) False) (Or (Eq (f1 True) True) (Eq (f1 (f1 x)) False))))
% 3.91/4.10 Clause #86 (by identity boolHoist #[83]): Or (Eq (f0 False) False)
% 3.91/4.10 (Or (Eq (f0 True) True) (Or (Eq (f0 (f1 x)) False) (Or (Eq (f1 False) True) (Eq (f1 (f1 x)) True))))
% 3.91/4.10 Clause #88 (by identity boolHoist #[85]): Or (Eq (f0 False) False)
% 3.91/4.10 (Or (Eq (f0 True) True)
% 3.91/4.10 (Or (Eq (f1 True) True) (Or (Eq (f1 (f1 x)) False) (Or (Eq (f0 False) False) (Eq (f1 x) True)))))
% 3.91/4.12 Clause #91 (by eliminate duplicate literals #[45]): Or (Eq (f0 False) True) (Or (Eq (f0 (f0 (f1 x))) True) (Eq (f1 (f1 (f1 x))) True))
% 3.91/4.12 Clause #93 (by identity boolHoist #[91]): Or (Eq (f0 False) True) (Or (Eq (f1 (f1 (f1 x))) True) (Or (Eq (f0 False) True) (Eq (f0 (f1 x)) True)))
% 3.91/4.12 Clause #98 (by eliminate duplicate literals #[93]): Or (Eq (f0 False) True) (Or (Eq (f1 (f1 (f1 x))) True) (Eq (f0 (f1 x)) True))
% 3.91/4.12 Clause #99 (by identity loobHoist #[98]): Or (Eq (f0 False) True) (Or (Eq (f0 (f1 x)) True) (Or (Eq (f1 True) True) (Eq (f1 (f1 x)) False)))
% 3.91/4.12 Clause #100 (by identity boolHoist #[98]): Or (Eq (f0 False) True) (Or (Eq (f0 (f1 x)) True) (Or (Eq (f1 False) True) (Eq (f1 (f1 x)) True)))
% 3.91/4.12 Clause #102 (by identity boolHoist #[99]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 (f1 x)) False) (Or (Eq (f0 False) True) (Eq (f1 x) True))))
% 3.91/4.12 Clause #106 (by identity boolHoist #[100]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Or (Eq (f1 (f1 x)) True) (Or (Eq (f0 False) True) (Eq (f1 x) True))))
% 3.91/4.12 Clause #112 (by eliminate duplicate literals #[106]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Or (Eq (f1 (f1 x)) True) (Eq (f1 x) True)))
% 3.91/4.12 Clause #114 (by identity boolHoist #[112]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Or (Eq (f1 x) True) (Or (Eq (f1 False) True) (Eq (f1 x) True))))
% 3.91/4.12 Clause #115 (by eliminate duplicate literals #[114]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Eq (f1 x) True))
% 3.91/4.12 Clause #116 (by identity loobHoist #[115]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Eq x False)))
% 3.91/4.12 Clause #117 (by identity boolHoist #[115]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Or (Eq (f1 False) True) (Eq x True)))
% 3.91/4.12 Clause #118 (by eliminate duplicate literals #[117]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Eq x True))
% 3.91/4.12 Clause #122 (by eliminate duplicate literals #[102]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 (f1 x)) False) (Eq (f1 x) True)))
% 3.91/4.12 Clause #124 (by identity boolHoist #[122]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 x) True) (Or (Eq (f1 False) False) (Eq (f1 x) True))))
% 3.91/4.12 Clause #125 (by eliminate duplicate literals #[124]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 x) True) (Eq (f1 False) False)))
% 3.91/4.12 Clause #126 (by identity loobHoist #[125]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x False))))
% 3.91/4.12 Clause #128 (by eliminate duplicate literals #[126]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq x False)))
% 3.91/4.12 Clause #129 (by eliminate duplicate literals #[47]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 (f1 (f1 x))) False) (Eq (f0 (f1 x)) True)))
% 3.91/4.12 Clause #130 (by identity loobHoist #[129]): Or (Eq (f0 False) True)
% 3.91/4.12 (Or (Eq (f0 True) True) (Or (Eq (f0 (f1 x)) True) (Or (Eq (f1 True) False) (Eq (f1 (f1 x)) False))))
% 3.91/4.12 Clause #131 (by identity boolHoist #[129]): Or (Eq (f0 False) True)
% 3.91/4.12 (Or (Eq (f0 True) True) (Or (Eq (f0 (f1 x)) True) (Or (Eq (f1 False) False) (Eq (f1 (f1 x)) True))))
% 3.91/4.12 Clause #132 (by identity loobHoist #[130]): Or (Eq (f0 False) True)
% 3.91/4.12 (Or (Eq (f0 True) True)
% 3.91/4.12 (Or (Eq (f1 True) False) (Or (Eq (f1 (f1 x)) False) (Or (Eq (f0 True) True) (Eq (f1 x) False)))))
% 3.91/4.12 Clause #134 (by eliminate duplicate literals #[132]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Or (Eq (f1 (f1 x)) False) (Eq (f1 x) False))))
% 3.91/4.12 Clause #135 (by identity loobHoist #[134]): Or (Eq (f0 False) True)
% 3.91/4.12 (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Or (Eq (f1 x) False) (Or (Eq (f1 True) False) (Eq (f1 x) False)))))
% 3.91/4.12 Clause #137 (by eliminate duplicate literals #[135]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Eq (f1 x) False)))
% 3.91/4.12 Clause #138 (by identity loobHoist #[137]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Or (Eq (f1 True) False) (Eq x False))))
% 3.91/4.12 Clause #139 (by identity boolHoist #[137]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Or (Eq (f1 False) False) (Eq x True))))
% 3.91/4.15 Clause #140 (by eliminate duplicate literals #[138]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Eq x False)))
% 3.91/4.15 Clause #145 (by identity loobHoist #[131]): Or (Eq (f0 False) True)
% 3.91/4.15 (Or (Eq (f0 True) True)
% 3.91/4.15 (Or (Eq (f1 False) False) (Or (Eq (f1 (f1 x)) True) (Or (Eq (f0 True) True) (Eq (f1 x) False)))))
% 3.91/4.15 Clause #147 (by eliminate duplicate literals #[145]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 (f1 x)) True) (Eq (f1 x) False))))
% 3.91/4.15 Clause #148 (by identity loobHoist #[147]): Or (Eq (f0 False) True)
% 3.91/4.15 (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 x) False) (Or (Eq (f1 True) True) (Eq (f1 x) False)))))
% 3.91/4.15 Clause #150 (by eliminate duplicate literals #[148]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 x) False) (Eq (f1 True) True))))
% 3.91/4.15 Clause #152 (by identity boolHoist #[150]): Or (Eq (f0 False) True)
% 3.91/4.15 (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq x True)))))
% 3.91/4.15 Clause #153 (by eliminate duplicate literals #[152]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x True))))
% 3.91/4.15 Clause #155 (by identity boolHoist #[72]): Or (Eq (f0 True) False)
% 3.91/4.15 (Or (Eq (f0 False) False)
% 3.91/4.15 (Or (Eq (f1 False) True) (Or (Eq (f1 (f1 x)) True) (Or (Eq (f0 False) False) (Eq (f1 x) True)))))
% 3.91/4.15 Clause #162 (by identity loobHoist #[54]): Or (Eq (f0 True) True)
% 3.91/4.15 (Or (Eq (f0 False) False)
% 3.91/4.15 (Or (Eq (f1 False) False) (Or (Eq (f1 (f1 x)) True) (Or (Eq (f0 True) True) (Eq (f1 x) False)))))
% 3.91/4.15 Clause #164 (by eliminate duplicate literals #[162]): Or (Eq (f0 True) True)
% 3.91/4.15 (Or (Eq (f0 False) False) (Or (Eq (f1 False) False) (Or (Eq (f1 (f1 x)) True) (Eq (f1 x) False))))
% 3.91/4.15 Clause #165 (by identity loobHoist #[164]): Or (Eq (f0 True) True)
% 3.91/4.15 (Or (Eq (f0 False) False)
% 3.91/4.15 (Or (Eq (f1 False) False) (Or (Eq (f1 x) False) (Or (Eq (f1 True) True) (Eq (f1 x) False)))))
% 3.91/4.15 Clause #167 (by eliminate duplicate literals #[165]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 False) False) (Or (Eq (f1 x) False) (Eq (f1 True) True))))
% 3.91/4.15 Clause #169 (by identity boolHoist #[167]): Or (Eq (f0 True) True)
% 3.91/4.15 (Or (Eq (f0 False) False) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq x True)))))
% 3.91/4.15 Clause #170 (by eliminate duplicate literals #[169]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x True))))
% 3.91/4.15 Clause #175 (by identity boolHoist #[86]): Or (Eq (f0 False) False)
% 3.91/4.15 (Or (Eq (f0 True) True)
% 3.91/4.15 (Or (Eq (f1 False) True) (Or (Eq (f1 (f1 x)) True) (Or (Eq (f0 False) False) (Eq (f1 x) True)))))
% 3.91/4.15 Clause #188 (by eliminate duplicate literals #[74]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 (f1 x)) False) (Eq (f1 x) True))))
% 3.91/4.15 Clause #190 (by identity boolHoist #[188]): Or (Eq (f0 True) False)
% 3.91/4.15 (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 x) True) (Or (Eq (f1 False) False) (Eq (f1 x) True)))))
% 3.91/4.15 Clause #191 (by eliminate duplicate literals #[190]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 x) True) (Eq (f1 False) False))))
% 3.91/4.15 Clause #192 (by identity loobHoist #[191]): Or (Eq (f0 True) False)
% 3.91/4.15 (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x False)))))
% 3.91/4.15 Clause #194 (by eliminate duplicate literals #[192]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq x False))))
% 3.91/4.15 Clause #195 (by eliminate duplicate literals #[88]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Or (Eq (f1 (f1 x)) False) (Eq (f1 x) True))))
% 3.91/4.15 Clause #197 (by identity boolHoist #[195]): Or (Eq (f0 False) False)
% 3.91/4.15 (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Or (Eq (f1 x) True) (Or (Eq (f1 False) False) (Eq (f1 x) True)))))
% 3.91/4.15 Clause #198 (by eliminate duplicate literals #[197]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Or (Eq (f1 x) True) (Eq (f1 False) False))))
% 4.00/4.18 Clause #199 (by identity loobHoist #[198]): Or (Eq (f0 False) False)
% 4.00/4.18 (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x False)))))
% 4.00/4.18 Clause #201 (by eliminate duplicate literals #[199]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq x False))))
% 4.00/4.18 Clause #204 (by eliminate duplicate literals #[175]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Or (Eq (f1 (f1 x)) True) (Eq (f1 x) True))))
% 4.00/4.18 Clause #206 (by identity boolHoist #[204]): Or (Eq (f0 False) False)
% 4.00/4.18 (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Or (Eq (f1 x) True) (Or (Eq (f1 False) True) (Eq (f1 x) True)))))
% 4.00/4.18 Clause #213 (by eliminate duplicate literals #[206]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Eq (f1 x) True)))
% 4.00/4.18 Clause #214 (by identity loobHoist #[213]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Eq x False))))
% 4.00/4.18 Clause #215 (by identity boolHoist #[213]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Or (Eq (f1 False) True) (Eq x True))))
% 4.00/4.18 Clause #217 (by eliminate duplicate literals #[215]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Eq x True)))
% 4.00/4.18 Clause #218 (by superposition #[217, 118]): Or (Eq (f0 True) True)
% 4.00/4.18 (Or (Eq (f1 False) True) (Or (Eq x True) (Or (Eq False True) (Or (Eq (f1 False) True) (Eq x True)))))
% 4.00/4.18 Clause #219 (by clausification #[218]): Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Or (Eq x True) (Or (Eq (f1 False) True) (Eq x True))))
% 4.00/4.18 Clause #220 (by eliminate duplicate literals #[219]): Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Eq x True))
% 4.00/4.18 Clause #230 (by eliminate duplicate literals #[155]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Or (Eq (f1 (f1 x)) True) (Eq (f1 x) True))))
% 4.00/4.18 Clause #232 (by identity boolHoist #[230]): Or (Eq (f0 True) False)
% 4.00/4.18 (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Or (Eq (f1 x) True) (Or (Eq (f1 False) True) (Eq (f1 x) True)))))
% 4.00/4.18 Clause #233 (by eliminate duplicate literals #[232]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Eq (f1 x) True)))
% 4.00/4.18 Clause #234 (by identity loobHoist #[233]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Eq x False))))
% 4.00/4.18 Clause #235 (by identity boolHoist #[233]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Or (Eq (f1 False) True) (Eq x True))))
% 4.00/4.18 Clause #240 (by eliminate duplicate literals #[235]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Eq x True)))
% 4.00/4.18 Clause #241 (by superposition #[240, 220]): Or (Eq (f0 False) False)
% 4.00/4.18 (Or (Eq (f1 False) True) (Or (Eq x True) (Or (Eq False True) (Or (Eq (f1 False) True) (Eq x True)))))
% 4.00/4.18 Clause #242 (by clausification #[241]): Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Or (Eq x True) (Or (Eq (f1 False) True) (Eq x True))))
% 4.00/4.18 Clause #243 (by eliminate duplicate literals #[242]): Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Eq x True))
% 4.00/4.18 Clause #244 (by superposition #[243, 118]): Or (Eq (f1 False) True) (Or (Eq x True) (Or (Eq False True) (Or (Eq (f1 False) True) (Eq x True))))
% 4.00/4.18 Clause #245 (by clausification #[244]): Or (Eq (f1 False) True) (Or (Eq x True) (Or (Eq (f1 False) True) (Eq x True)))
% 4.00/4.18 Clause #246 (by eliminate duplicate literals #[245]): Or (Eq (f1 False) True) (Eq x True)
% 4.00/4.18 Clause #248 (by superposition #[246, 153]): Or (Eq x True)
% 4.00/4.18 (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq True False) (Or (Eq (f1 True) True) (Eq x True)))))
% 4.00/4.18 Clause #250 (by clausification #[248]): Or (Eq x True) (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Eq x True))))
% 4.00/4.18 Clause #251 (by eliminate duplicate literals #[250]): Or (Eq x True) (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Eq (f1 True) True)))
% 4.00/4.18 Clause #254 (by superposition #[251, 170]): Or (Eq x True)
% 4.03/4.20 (Or (Eq (f0 True) True)
% 4.03/4.20 (Or (Eq (f1 True) True)
% 4.03/4.20 (Or (Eq (f0 True) True) (Or (Eq True False) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x True)))))))
% 4.03/4.20 Clause #261 (by clausification #[254]): Or (Eq x True)
% 4.03/4.20 (Or (Eq (f0 True) True)
% 4.03/4.20 (Or (Eq (f1 True) True) (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x True))))))
% 4.03/4.20 Clause #262 (by eliminate duplicate literals #[261]): Or (Eq x True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Eq (f1 False) False)))
% 4.03/4.20 Clause #263 (by superposition #[262, 246]): Or (Eq x True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Or (Eq False True) (Eq x True))))
% 4.03/4.20 Clause #265 (by clausification #[263]): Or (Eq x True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Eq x True)))
% 4.03/4.20 Clause #266 (by eliminate duplicate literals #[265]): Or (Eq x True) (Or (Eq (f0 True) True) (Eq (f1 True) True))
% 4.03/4.20 Clause #269 (by superposition #[266, 39]): Or (Eq x True)
% 4.03/4.20 (Or (Eq (f1 True) True) (Or (Eq True False) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x True)))))
% 4.03/4.20 Clause #273 (by clausification #[269]): Or (Eq x True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq x True))))
% 4.03/4.20 Clause #274 (by eliminate duplicate literals #[273]): Or (Eq x True) (Or (Eq (f1 True) True) (Eq (f1 False) False))
% 4.03/4.20 Clause #275 (by superposition #[274, 246]): Or (Eq x True) (Or (Eq (f1 True) True) (Or (Eq False True) (Eq x True)))
% 4.03/4.20 Clause #276 (by clausification #[275]): Or (Eq x True) (Or (Eq (f1 True) True) (Eq x True))
% 4.03/4.20 Clause #277 (by eliminate duplicate literals #[276]): Or (Eq x True) (Eq (f1 True) True)
% 4.03/4.20 Clause #279 (by superposition #[277, 139]): Or (Eq x True)
% 4.03/4.20 (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq True False) (Or (Eq (f1 False) False) (Eq x True)))))
% 4.03/4.20 Clause #282 (by clausification #[279]): Or (Eq x True) (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Eq x True))))
% 4.03/4.20 Clause #283 (by eliminate duplicate literals #[282]): Or (Eq x True) (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Eq (f1 False) False)))
% 4.03/4.20 Clause #284 (by superposition #[283, 246]): Or (Eq x True) (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq False True) (Eq x True))))
% 4.03/4.20 Clause #285 (by clausification #[284]): Or (Eq x True) (Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Eq x True)))
% 4.03/4.20 Clause #286 (by eliminate duplicate literals #[285]): Or (Eq x True) (Or (Eq (f0 False) True) (Eq (f0 True) True))
% 4.03/4.20 Clause #288 (by superposition #[286, 62]): Or (Eq x True)
% 4.03/4.20 (Or (Eq (f0 True) True)
% 4.03/4.20 (Or (Eq (f0 True) True) (Or (Eq True False) (Or (Eq (f1 True) False) (Or (Eq (f1 False) False) (Eq x True))))))
% 4.03/4.20 Clause #292 (by clausification #[288]): Or (Eq x True)
% 4.03/4.20 (Or (Eq (f0 True) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Or (Eq (f1 False) False) (Eq x True)))))
% 4.03/4.20 Clause #293 (by eliminate duplicate literals #[292]): Or (Eq x True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Eq (f1 False) False)))
% 4.03/4.20 Clause #294 (by superposition #[293, 277]): Or (Eq x True) (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Or (Eq x True) (Eq False True))))
% 4.03/4.20 Clause #295 (by clausification #[294]): Or (Eq x True) (Or (Eq (f0 True) True) (Or (Eq (f1 False) False) (Eq x True)))
% 4.03/4.20 Clause #296 (by eliminate duplicate literals #[295]): Or (Eq x True) (Or (Eq (f0 True) True) (Eq (f1 False) False))
% 4.03/4.20 Clause #297 (by superposition #[296, 246]): Or (Eq x True) (Or (Eq (f0 True) True) (Or (Eq False True) (Eq x True)))
% 4.03/4.20 Clause #299 (by clausification #[297]): Or (Eq x True) (Or (Eq (f0 True) True) (Eq x True))
% 4.03/4.20 Clause #300 (by eliminate duplicate literals #[299]): Or (Eq x True) (Eq (f0 True) True)
% 4.03/4.20 Clause #302 (by superposition #[300, 22]): Or (Eq x True) (Or (Eq True False) (Or (Eq (f1 True) False) (Or (Eq (f1 False) False) (Eq x True))))
% 4.03/4.20 Clause #306 (by clausification #[302]): Or (Eq x True) (Or (Eq (f1 True) False) (Or (Eq (f1 False) False) (Eq x True)))
% 4.03/4.20 Clause #307 (by eliminate duplicate literals #[306]): Or (Eq x True) (Or (Eq (f1 True) False) (Eq (f1 False) False))
% 4.03/4.20 Clause #308 (by superposition #[307, 277]): Or (Eq x True) (Or (Eq (f1 False) False) (Or (Eq x True) (Eq False True)))
% 4.03/4.23 Clause #309 (by clausification #[308]): Or (Eq x True) (Or (Eq (f1 False) False) (Eq x True))
% 4.03/4.23 Clause #310 (by eliminate duplicate literals #[309]): Or (Eq x True) (Eq (f1 False) False)
% 4.03/4.23 Clause #311 (by superposition #[310, 246]): Or (Eq x True) (Or (Eq False True) (Eq x True))
% 4.03/4.23 Clause #312 (by clausification #[311]): Or (Eq x True) (Eq x True)
% 4.03/4.23 Clause #313 (by eliminate duplicate literals #[312]): Eq x True
% 4.03/4.23 Clause #314 (by backward demodulation #[313, 23]): Or (Eq (f0 True) False) (Or (Eq (f1 True) False) (Eq True False))
% 4.03/4.23 Clause #315 (by backward demodulation #[313, 63]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 True) False) (Eq True False)))
% 4.03/4.23 Clause #316 (by backward demodulation #[313, 116]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Eq True False)))
% 4.03/4.23 Clause #317 (by backward demodulation #[313, 128]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq True False)))
% 4.03/4.23 Clause #318 (by backward demodulation #[313, 140]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) False) (Eq True False)))
% 4.03/4.23 Clause #319 (by backward demodulation #[313, 194]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq True False))))
% 4.03/4.23 Clause #320 (by backward demodulation #[313, 201]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq True False))))
% 4.03/4.23 Clause #321 (by backward demodulation #[313, 214]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Eq True False))))
% 4.03/4.23 Clause #322 (by backward demodulation #[313, 234]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Eq True False))))
% 4.03/4.23 Clause #328 (by clausification #[314]): Or (Eq (f0 True) False) (Eq (f1 True) False)
% 4.03/4.23 Clause #330 (by clausification #[318]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Eq (f1 True) False))
% 4.03/4.23 Clause #331 (by clausification #[317]): Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Eq (f1 False) False))
% 4.03/4.23 Clause #332 (by clausification #[316]): Or (Eq (f0 False) True) (Or (Eq (f1 False) True) (Eq (f1 True) True))
% 4.03/4.23 Clause #333 (by clausification #[315]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Eq (f1 True) False))
% 4.03/4.23 Clause #335 (by clausification #[320]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Eq (f1 False) False)))
% 4.03/4.23 Clause #338 (by clausification #[319]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Eq (f1 False) False)))
% 4.03/4.23 Clause #339 (by clausification #[322]): Or (Eq (f0 True) False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Eq (f1 True) True)))
% 4.03/4.23 Clause #341 (by clausification #[321]): Or (Eq (f0 False) False) (Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Eq (f1 True) True)))
% 4.03/4.23 Clause #342 (by superposition #[341, 332]): Or (Eq (f0 True) True)
% 4.03/4.23 (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Or (Eq False True) (Or (Eq (f1 False) True) (Eq (f1 True) True)))))
% 4.03/4.23 Clause #345 (by clausification #[342]): Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) True) (Eq (f1 True) True))))
% 4.03/4.23 Clause #346 (by eliminate duplicate literals #[345]): Or (Eq (f0 True) True) (Or (Eq (f1 False) True) (Eq (f1 True) True))
% 4.03/4.23 Clause #349 (by superposition #[346, 339]): Or (Eq (f1 False) True)
% 4.03/4.23 (Or (Eq (f1 True) True) (Or (Eq True False) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Eq (f1 True) True)))))
% 4.03/4.23 Clause #351 (by clausification #[349]): Or (Eq (f1 False) True)
% 4.03/4.23 (Or (Eq (f1 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 False) True) (Eq (f1 True) True))))
% 4.03/4.23 Clause #352 (by eliminate duplicate literals #[351]): Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Eq (f0 False) False))
% 4.03/4.23 Clause #353 (by superposition #[352, 332]): Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Or (Eq False True) (Or (Eq (f1 False) True) (Eq (f1 True) True))))
% 4.03/4.23 Clause #354 (by clausification #[353]): Or (Eq (f1 False) True) (Or (Eq (f1 True) True) (Or (Eq (f1 False) True) (Eq (f1 True) True)))
% 4.03/4.24 Clause #355 (by eliminate duplicate literals #[354]): Or (Eq (f1 False) True) (Eq (f1 True) True)
% 4.03/4.24 Clause #356 (by superposition #[355, 331]): Or (Eq (f1 True) True) (Or (Eq (f0 False) True) (Or (Eq (f1 True) True) (Eq True False)))
% 4.03/4.24 Clause #357 (by clausification #[356]): Or (Eq (f1 True) True) (Or (Eq (f0 False) True) (Eq (f1 True) True))
% 4.03/4.24 Clause #358 (by eliminate duplicate literals #[357]): Or (Eq (f1 True) True) (Eq (f0 False) True)
% 4.03/4.24 Clause #360 (by superposition #[358, 335]): Or (Eq (f1 True) True) (Or (Eq True False) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Eq (f1 False) False))))
% 4.03/4.24 Clause #363 (by clausification #[360]): Or (Eq (f1 True) True) (Or (Eq (f0 True) True) (Or (Eq (f1 True) True) (Eq (f1 False) False)))
% 4.03/4.24 Clause #364 (by eliminate duplicate literals #[363]): Or (Eq (f1 True) True) (Or (Eq (f0 True) True) (Eq (f1 False) False))
% 4.03/4.24 Clause #365 (by superposition #[364, 355]): Or (Eq (f1 True) True) (Or (Eq (f0 True) True) (Or (Eq False True) (Eq (f1 True) True)))
% 4.03/4.24 Clause #366 (by clausification #[365]): Or (Eq (f1 True) True) (Or (Eq (f0 True) True) (Eq (f1 True) True))
% 4.03/4.24 Clause #367 (by eliminate duplicate literals #[366]): Or (Eq (f1 True) True) (Eq (f0 True) True)
% 4.03/4.24 Clause #369 (by superposition #[367, 338]): Or (Eq (f1 True) True) (Or (Eq True False) (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Eq (f1 False) False))))
% 4.03/4.24 Clause #371 (by clausification #[369]): Or (Eq (f1 True) True) (Or (Eq (f0 False) False) (Or (Eq (f1 True) True) (Eq (f1 False) False)))
% 4.03/4.24 Clause #372 (by eliminate duplicate literals #[371]): Or (Eq (f1 True) True) (Or (Eq (f0 False) False) (Eq (f1 False) False))
% 4.03/4.24 Clause #373 (by superposition #[372, 358]): Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Or (Eq (f1 True) True) (Eq False True)))
% 4.03/4.24 Clause #375 (by clausification #[373]): Or (Eq (f1 True) True) (Or (Eq (f1 False) False) (Eq (f1 True) True))
% 4.03/4.24 Clause #376 (by eliminate duplicate literals #[375]): Or (Eq (f1 True) True) (Eq (f1 False) False)
% 4.03/4.24 Clause #377 (by superposition #[376, 355]): Or (Eq (f1 True) True) (Or (Eq False True) (Eq (f1 True) True))
% 4.03/4.24 Clause #378 (by clausification #[377]): Or (Eq (f1 True) True) (Eq (f1 True) True)
% 4.03/4.24 Clause #379 (by eliminate duplicate literals #[378]): Eq (f1 True) True
% 4.03/4.24 Clause #380 (by backward demodulation #[379, 328]): Or (Eq (f0 True) False) (Eq True False)
% 4.03/4.24 Clause #381 (by backward demodulation #[379, 330]): Or (Eq (f0 False) True) (Or (Eq (f0 True) True) (Eq True False))
% 4.03/4.24 Clause #382 (by backward demodulation #[379, 333]): Or (Eq (f0 True) True) (Or (Eq (f0 False) False) (Eq True False))
% 4.03/4.24 Clause #384 (by clausification #[380]): Eq (f0 True) False
% 4.03/4.24 Clause #385 (by clausification #[382]): Or (Eq (f0 True) True) (Eq (f0 False) False)
% 4.03/4.24 Clause #386 (by forward demodulation #[385, 384]): Or (Eq False True) (Eq (f0 False) False)
% 4.03/4.24 Clause #387 (by clausification #[386]): Eq (f0 False) False
% 4.03/4.24 Clause #388 (by clausification #[381]): Or (Eq (f0 False) True) (Eq (f0 True) True)
% 4.03/4.24 Clause #389 (by forward demodulation #[388, 384]): Or (Eq (f0 False) True) (Eq False True)
% 4.03/4.24 Clause #390 (by clausification #[389]): Eq (f0 False) True
% 4.03/4.24 Clause #391 (by superposition #[390, 387]): Eq True False
% 4.03/4.24 Clause #392 (by clausification #[391]): False
% 4.03/4.24 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------