TSTP Solution File: SYO655-1 by CSE-F---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE-F---1.0
% Problem  : SYO655-1 : TPTP v7.5.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n008.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  : 600s
% DateTime : Tue Mar 29 01:05:47 EDT 2022

% Result   : Unsatisfiable 51.78s 51.78s
% Output   : CNFRefutation 51.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SYO655-1 : TPTP v7.5.0. Released v7.3.0.
% 0.02/0.11  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31  % Computer   : n008.cluster.edu
% 0.11/0.31  % Model      : x86_64 x86_64
% 0.11/0.31  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % RAMPerCPU  : 8042.1875MB
% 0.11/0.31  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 600
% 0.11/0.31  % DateTime   : Mon Mar 14 14:19:32 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.42  openjdk version "1.8.0_171"
% 0.16/0.42  OpenJDK Runtime Environment (build 1.8.0_171-b10)
% 0.16/0.42  OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode)
% 0.16/0.43  file=/export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.65  start to proof:theBenchmark
% 51.78/51.78  % Version  : CSE-F---1.0
% 51.78/51.78  % Problem  : theBenchmark.p
% 51.78/51.78  % Proof found
% 51.78/51.78  % SZS status Theorem for theBenchmark.p
% 51.78/51.78  % SZS output start Proof
% 51.78/51.78  [2]~P1(f1(a4),a2)
% 51.78/51.78  [1]P1(f1(x11),f3(a2))
% 51.78/51.78  [3]~P1(f1(x31),f3(a2))+P2(a2,f1(x31))+P1(f1(x31),a2)
% 51.78/51.78  [4]P1(f1(x41),a2)+~P1(f1(f5(x41)),f3(a2))+P2(a2,f1(f5(x41)))
% 51.78/51.78  [6]P1(f1(x61),a2)+~P1(f1(f5(f5(x61))),f3(a2))+P2(a2,f1(f5(f5(x61))))
% 51.78/51.78  [5]P3(f5(x51),f5(x51))+~P2(a2,f1(x51))+P2(f1(x51),f1(f5(x51)))+~P2(a2,f1(f5(x51)))
% 51.78/51.78  [7]P3(f5(x71),f5(x71))+~P2(a2,f1(x71))+~P2(f1(x71),f1(f5(x71)))+~P2(a2,f1(f5(x71)))+~P2(a2,f1(f5(f5(x71))))
% 51.78/51.78  [8]~P3(f5(x82),f5(x84))+~P3(f5(x83),f5(x82))+~P3(f5(x84),f5(x85))+~P3(f5(x85),f5(x81))+P2(f1(x81),f1(f5(x81)))+P2(f1(x82),f1(f5(x82)))+~P2(a2,f1(x81))+P2(f1(x83),f1(f5(x83)))+P2(f1(x84),f1(f5(x84)))+~P2(a2,f1(x82))+P2(f1(x85),f1(f5(x85)))+~P2(a2,f1(x83))+~P2(a2,f1(x84))+~P2(a2,f1(x85))+~P2(a2,f1(f5(x81)))+~P2(a2,f1(f5(x82)))+~P2(a2,f1(f5(x83)))+~P2(a2,f1(f5(x84)))+~P2(a2,f1(f5(x85)))
% 51.78/51.78  [9]~P3(f5(x95),f5(x91))+~P3(f5(x94),f5(x95))+~P3(f5(x93),f5(x92))+~P3(f5(x92),f5(x94))+P2(f1(x91),f1(f5(x91)))+P2(f1(x92),f1(f5(x92)))+~P2(a2,f1(x91))+P2(f1(x93),f1(f5(x93)))+~P2(a2,f1(x92))+P2(f1(x94),f1(f5(x94)))+~P2(f1(x95),f1(f5(x95)))+~P2(a2,f1(x93))+~P2(a2,f1(x94))+~P2(a2,f1(x95))+~P2(a2,f1(f5(x91)))+~P2(a2,f1(f5(x92)))+~P2(a2,f1(f5(x93)))+~P2(a2,f1(f5(x94)))+~P2(a2,f1(f5(x95)))+~P2(a2,f1(f5(f5(x95))))
% 51.78/51.78  [10]~P3(f5(x105),f5(x104))+~P3(f5(x104),f5(x101))+~P3(f5(x103),f5(x102))+~P3(f5(x102),f5(x105))+P2(f1(x101),f1(f5(x101)))+P2(f1(x102),f1(f5(x102)))+~P2(a2,f1(x101))+P2(f1(x103),f1(f5(x103)))+~P2(a2,f1(x102))+P2(f1(x104),f1(f5(x104)))+~P2(f1(x105),f1(f5(x105)))+~P2(a2,f1(x103))+~P2(a2,f1(x104))+~P2(a2,f1(x105))+~P2(a2,f1(f5(x101)))+~P2(a2,f1(f5(x102)))+~P2(a2,f1(f5(x103)))+~P2(a2,f1(f5(x104)))+~P2(a2,f1(f5(x105)))+~P2(a2,f1(f5(f5(x105))))
% 51.78/51.78  [11]~P3(f5(x114),f5(x111))+~P3(f5(x113),f5(x114))+~P3(f5(x115),f5(x112))+~P3(f5(x112),f5(x113))+P2(f1(x111),f1(f5(x111)))+P2(f1(x112),f1(f5(x112)))+~P2(a2,f1(x111))+P2(f1(x113),f1(f5(x113)))+~P2(a2,f1(x112))+P2(f1(x114),f1(f5(x114)))+~P2(f1(x115),f1(f5(x115)))+~P2(a2,f1(x113))+~P2(a2,f1(x114))+~P2(a2,f1(x115))+~P2(a2,f1(f5(x111)))+~P2(a2,f1(f5(x112)))+~P2(a2,f1(f5(x115)))+~P2(a2,f1(f5(x113)))+~P2(a2,f1(f5(x114)))+~P2(a2,f1(f5(f5(x115))))
% 51.78/51.78  [12]~P3(f5(x124),f5(x121))+~P3(f5(x123),f5(x124))+~P3(f5(x122),f5(x125))+~P3(f5(x125),f5(x123))+P2(f1(x121),f1(f5(x121)))+P2(f1(x122),f1(f5(x122)))+~P2(a2,f1(x121))+P2(f1(x123),f1(f5(x123)))+~P2(a2,f1(x122))+P2(f1(x124),f1(f5(x124)))+~P2(f1(x125),f1(f5(x125)))+~P2(a2,f1(x123))+~P2(a2,f1(x124))+~P2(a2,f1(x125))+~P2(a2,f1(f5(x121)))+~P2(a2,f1(f5(x125)))+~P2(a2,f1(f5(x122)))+~P2(a2,f1(f5(x123)))+~P2(a2,f1(f5(x124)))+~P2(a2,f1(f5(f5(x125))))
% 51.78/51.78  [13]~P3(f5(x134),f5(x135))+~P3(f5(x133),f5(x134))+~P3(f5(x132),f5(x131))+~P3(f5(x131),f5(x133))+P2(f1(x131),f1(f5(x131)))+P2(f1(x132),f1(f5(x132)))+~P2(a2,f1(x131))+P2(f1(x133),f1(f5(x133)))+~P2(a2,f1(x132))+P2(f1(x134),f1(f5(x134)))+~P2(f1(x135),f1(f5(x135)))+~P2(a2,f1(x133))+~P2(a2,f1(x134))+~P2(a2,f1(x135))+~P2(a2,f1(f5(x135)))+~P2(a2,f1(f5(x131)))+~P2(a2,f1(f5(x132)))+~P2(a2,f1(f5(x133)))+~P2(a2,f1(f5(x134)))+~P2(a2,f1(f5(f5(x135))))
% 51.78/51.78  [14]~P3(f5(x145),f5(x144))+~P3(f5(x144),f5(x141))+~P3(f5(x143),f5(x142))+~P3(f5(x142),f5(x145))+P2(f1(x141),f1(f5(x141)))+P2(f1(x142),f1(f5(x142)))+~P2(a2,f1(x141))+P2(f1(x143),f1(f5(x143)))+~P2(a2,f1(x142))+~P2(f1(x144),f1(f5(x144)))+~P2(f1(x145),f1(f5(x145)))+~P2(a2,f1(x143))+~P2(a2,f1(x144))+~P2(a2,f1(x145))+~P2(a2,f1(f5(x141)))+~P2(a2,f1(f5(x142)))+~P2(a2,f1(f5(x143)))+~P2(a2,f1(f5(x144)))+~P2(a2,f1(f5(x145)))+~P2(a2,f1(f5(f5(x144))))+~P2(a2,f1(f5(f5(x145))))
% 51.78/51.78  [15]~P3(f5(x155),f5(x151))+~P3(f5(x153),f5(x155))+~P3(f5(x154),f5(x152))+~P3(f5(x152),f5(x153))+P2(f1(x151),f1(f5(x151)))+P2(f1(x152),f1(f5(x152)))+~P2(a2,f1(x151))+P2(f1(x153),f1(f5(x153)))+~P2(a2,f1(x152))+~P2(f1(x154),f1(f5(x154)))+~P2(f1(x155),f1(f5(x155)))+~P2(a2,f1(x153))+~P2(a2,f1(x154))+~P2(a2,f1(x155))+~P2(a2,f1(f5(x151)))+~P2(a2,f1(f5(x152)))+~P2(a2,f1(f5(x154)))+~P2(a2,f1(f5(x153)))+~P2(a2,f1(f5(x155)))+~P2(a2,f1(f5(f5(x154))))+~P2(a2,f1(f5(f5(x155))))
% 51.78/51.78  [16]~P3(f5(x165),f5(x163))+~P3(f5(x163),f5(x161))+~P3(f5(x164),f5(x162))+~P3(f5(x162),f5(x165))+P2(f1(x161),f1(f5(x161)))+P2(f1(x162),f1(f5(x162)))+~P2(a2,f1(x161))+P2(f1(x163),f1(f5(x163)))+~P2(a2,f1(x162))+~P2(f1(x164),f1(f5(x164)))+~P2(f1(x165),f1(f5(x165)))+~P2(a2,f1(x163))+~P2(a2,f1(x164))+~P2(a2,f1(x165))+~P2(a2,f1(f5(x161)))+~P2(a2,f1(f5(x162)))+~P2(a2,f1(f5(x164)))+~P2(a2,f1(f5(x163)))+~P2(a2,f1(f5(x165)))+~P2(a2,f1(f5(f5(x164))))+~P2(a2,f1(f5(f5(x165))))
% 51.78/51.78  [17]~P3(f5(x175),f5(x171))+~P3(f5(x173),f5(x175))+~P3(f5(x172),f5(x174))+~P3(f5(x174),f5(x173))+P2(f1(x171),f1(f5(x171)))+P2(f1(x172),f1(f5(x172)))+~P2(a2,f1(x171))+P2(f1(x173),f1(f5(x173)))+~P2(a2,f1(x172))+~P2(f1(x174),f1(f5(x174)))+~P2(f1(x175),f1(f5(x175)))+~P2(a2,f1(x173))+~P2(a2,f1(x174))+~P2(a2,f1(x175))+~P2(a2,f1(f5(x171)))+~P2(a2,f1(f5(x174)))+~P2(a2,f1(f5(x172)))+~P2(a2,f1(f5(x173)))+~P2(a2,f1(f5(x175)))+~P2(a2,f1(f5(f5(x174))))+~P2(a2,f1(f5(f5(x175))))
% 51.78/51.78  [18]~P3(f5(x185),f5(x183))+~P3(f5(x183),f5(x181))+~P3(f5(x182),f5(x184))+~P3(f5(x184),f5(x185))+P2(f1(x181),f1(f5(x181)))+P2(f1(x182),f1(f5(x182)))+~P2(a2,f1(x181))+P2(f1(x183),f1(f5(x183)))+~P2(a2,f1(x182))+~P2(f1(x184),f1(f5(x184)))+~P2(f1(x185),f1(f5(x185)))+~P2(a2,f1(x183))+~P2(a2,f1(x184))+~P2(a2,f1(x185))+~P2(a2,f1(f5(x181)))+~P2(a2,f1(f5(x184)))+~P2(a2,f1(f5(x182)))+~P2(a2,f1(f5(x183)))+~P2(a2,f1(f5(x185)))+~P2(a2,f1(f5(f5(x184))))+~P2(a2,f1(f5(f5(x185))))
% 51.78/51.78  [19]~P3(f5(x193),f5(x191))+~P3(f5(x192),f5(x193))+~P3(f5(x195),f5(x194))+~P3(f5(x194),f5(x192))+P2(f1(x191),f1(f5(x191)))+P2(f1(x192),f1(f5(x192)))+~P2(a2,f1(x191))+P2(f1(x193),f1(f5(x193)))+~P2(a2,f1(x192))+~P2(f1(x194),f1(f5(x194)))+~P2(f1(x195),f1(f5(x195)))+~P2(a2,f1(x193))+~P2(a2,f1(x194))+~P2(a2,f1(x195))+~P2(a2,f1(f5(x191)))+~P2(a2,f1(f5(x194)))+~P2(a2,f1(f5(x195)))+~P2(a2,f1(f5(x192)))+~P2(a2,f1(f5(x193)))+~P2(a2,f1(f5(f5(x194))))+~P2(a2,f1(f5(f5(x195))))
% 51.78/51.78  [20]~P3(f5(x205),f5(x204))+~P3(f5(x203),f5(x205))+~P3(f5(x202),f5(x201))+~P3(f5(x201),f5(x203))+P2(f1(x201),f1(f5(x201)))+P2(f1(x202),f1(f5(x202)))+~P2(a2,f1(x201))+P2(f1(x203),f1(f5(x203)))+~P2(a2,f1(x202))+~P2(f1(x204),f1(f5(x204)))+~P2(f1(x205),f1(f5(x205)))+~P2(a2,f1(x203))+~P2(a2,f1(x204))+~P2(a2,f1(x205))+~P2(a2,f1(f5(x204)))+~P2(a2,f1(f5(x201)))+~P2(a2,f1(f5(x202)))+~P2(a2,f1(f5(x203)))+~P2(a2,f1(f5(x205)))+~P2(a2,f1(f5(f5(x204))))+~P2(a2,f1(f5(f5(x205))))
% 51.78/51.78  [21]~P3(f5(x215),f5(x213))+~P3(f5(x213),f5(x214))+~P3(f5(x212),f5(x211))+~P3(f5(x211),f5(x215))+P2(f1(x211),f1(f5(x211)))+P2(f1(x212),f1(f5(x212)))+~P2(a2,f1(x211))+P2(f1(x213),f1(f5(x213)))+~P2(a2,f1(x212))+~P2(f1(x214),f1(f5(x214)))+~P2(f1(x215),f1(f5(x215)))+~P2(a2,f1(x213))+~P2(a2,f1(x214))+~P2(a2,f1(x215))+~P2(a2,f1(f5(x214)))+~P2(a2,f1(f5(x211)))+~P2(a2,f1(f5(x212)))+~P2(a2,f1(f5(x213)))+~P2(a2,f1(f5(x215)))+~P2(a2,f1(f5(f5(x214))))+~P2(a2,f1(f5(f5(x215))))
% 51.78/51.78  [22]~P3(f5(x223),f5(x224))+~P3(f5(x222),f5(x223))+~P3(f5(x225),f5(x221))+~P3(f5(x221),f5(x222))+P2(f1(x221),f1(f5(x221)))+P2(f1(x222),f1(f5(x222)))+~P2(a2,f1(x221))+P2(f1(x223),f1(f5(x223)))+~P2(a2,f1(x222))+~P2(f1(x224),f1(f5(x224)))+~P2(f1(x225),f1(f5(x225)))+~P2(a2,f1(x223))+~P2(a2,f1(x224))+~P2(a2,f1(x225))+~P2(a2,f1(f5(x224)))+~P2(a2,f1(f5(x221)))+~P2(a2,f1(f5(x225)))+~P2(a2,f1(f5(x222)))+~P2(a2,f1(f5(x223)))+~P2(a2,f1(f5(f5(x224))))+~P2(a2,f1(f5(f5(x225))))
% 51.78/51.78  [23]~P3(f5(x233),f5(x234))+~P3(f5(x232),f5(x233))+~P3(f5(x231),f5(x235))+~P3(f5(x235),f5(x232))+P2(f1(x231),f1(f5(x231)))+P2(f1(x232),f1(f5(x232)))+~P2(a2,f1(x231))+P2(f1(x233),f1(f5(x233)))+~P2(a2,f1(x232))+~P2(f1(x234),f1(f5(x234)))+~P2(f1(x235),f1(f5(x235)))+~P2(a2,f1(x233))+~P2(a2,f1(x234))+~P2(a2,f1(x235))+~P2(a2,f1(f5(x234)))+~P2(a2,f1(f5(x235)))+~P2(a2,f1(f5(x231)))+~P2(a2,f1(f5(x232)))+~P2(a2,f1(f5(x233)))+~P2(a2,f1(f5(f5(x234))))+~P2(a2,f1(f5(f5(x235))))
% 51.78/51.78  [24]~P3(f5(x242),f5(x245))+~P3(f5(x243),f5(x242))+~P3(f5(x244),f5(x241))+~P3(f5(x245),f5(x244))+P2(f1(x241),f1(f5(x241)))+P2(f1(x242),f1(f5(x242)))+~P2(a2,f1(x241))+~P2(f1(x243),f1(f5(x243)))+~P2(a2,f1(x242))+~P2(f1(x244),f1(f5(x244)))+~P2(f1(x245),f1(f5(x245)))+~P2(a2,f1(x243))+~P2(a2,f1(x244))+~P2(a2,f1(x245))+~P2(a2,f1(f5(x241)))+~P2(a2,f1(f5(x245)))+~P2(a2,f1(f5(x244)))+~P2(a2,f1(f5(x243)))+~P2(a2,f1(f5(x242)))+~P2(a2,f1(f5(f5(x243))))+~P2(a2,f1(f5(f5(x244))))+~P2(a2,f1(f5(f5(x245))))
% 51.78/51.78  [25]~P3(f5(x253),f5(x255))+~P3(f5(x252),f5(x253))+~P3(f5(x254),f5(x251))+~P3(f5(x255),f5(x254))+P2(f1(x251),f1(f5(x251)))+P2(f1(x252),f1(f5(x252)))+~P2(a2,f1(x251))+~P2(f1(x253),f1(f5(x253)))+~P2(a2,f1(x252))+~P2(f1(x254),f1(f5(x254)))+~P2(f1(x255),f1(f5(x255)))+~P2(a2,f1(x253))+~P2(a2,f1(x254))+~P2(a2,f1(x255))+~P2(a2,f1(f5(x251)))+~P2(a2,f1(f5(x255)))+~P2(a2,f1(f5(x254)))+~P2(a2,f1(f5(x252)))+~P2(a2,f1(f5(x253)))+~P2(a2,f1(f5(f5(x253))))+~P2(a2,f1(f5(f5(x254))))+~P2(a2,f1(f5(f5(x255))))
% 51.78/51.78  [26]~P3(f5(x263),f5(x262))+~P3(f5(x264),f5(x263))+~P3(f5(x262),f5(x265))+~P3(f5(x265),f5(x261))+P2(f1(x261),f1(f5(x261)))+P2(f1(x262),f1(f5(x262)))+~P2(a2,f1(x261))+~P2(f1(x263),f1(f5(x263)))+~P2(a2,f1(x262))+~P2(f1(x264),f1(f5(x264)))+~P2(f1(x265),f1(f5(x265)))+~P2(a2,f1(x263))+~P2(a2,f1(x264))+~P2(a2,f1(x265))+~P2(a2,f1(f5(x261)))+~P2(a2,f1(f5(x265)))+~P2(a2,f1(f5(x262)))+~P2(a2,f1(f5(x264)))+~P2(a2,f1(f5(x263)))+~P2(a2,f1(f5(f5(x263))))+~P2(a2,f1(f5(f5(x264))))+~P2(a2,f1(f5(f5(x265))))
% 51.78/51.78  [27]~P3(f5(x273),f5(x275))+~P3(f5(x274),f5(x273))+~P3(f5(x272),f5(x271))+~P3(f5(x275),f5(x272))+P2(f1(x271),f1(f5(x271)))+P2(f1(x272),f1(f5(x272)))+~P2(a2,f1(x271))+~P2(f1(x273),f1(f5(x273)))+~P2(a2,f1(x272))+~P2(f1(x274),f1(f5(x274)))+~P2(f1(x275),f1(f5(x275)))+~P2(a2,f1(x273))+~P2(a2,f1(x274))+~P2(a2,f1(x275))+~P2(a2,f1(f5(x271)))+~P2(a2,f1(f5(x275)))+~P2(a2,f1(f5(x272)))+~P2(a2,f1(f5(x274)))+~P2(a2,f1(f5(x273)))+~P2(a2,f1(f5(f5(x273))))+~P2(a2,f1(f5(f5(x274))))+~P2(a2,f1(f5(f5(x275))))
% 51.78/51.78  [28]~P3(f5(x281),f5(x285))+~P3(f5(x282),f5(x281))+~P3(f5(x284),f5(x283))+~P3(f5(x285),f5(x284))+P2(f1(x281),f1(f5(x281)))+P2(f1(x282),f1(f5(x282)))+~P2(a2,f1(x281))+~P2(f1(x283),f1(f5(x283)))+~P2(a2,f1(x282))+~P2(f1(x284),f1(f5(x284)))+~P2(f1(x285),f1(f5(x285)))+~P2(a2,f1(x283))+~P2(a2,f1(x284))+~P2(a2,f1(x285))+~P2(a2,f1(f5(x283)))+~P2(a2,f1(f5(x285)))+~P2(a2,f1(f5(x284)))+~P2(a2,f1(f5(x282)))+~P2(a2,f1(f5(x281)))+~P2(a2,f1(f5(f5(x283))))+~P2(a2,f1(f5(f5(x284))))+~P2(a2,f1(f5(f5(x285))))
% 51.78/51.78  [29]~P3(f5(x291),f5(x292))+~P3(f5(x294),f5(x291))+~P3(f5(x292),f5(x295))+~P3(f5(x295),f5(x293))+P2(f1(x291),f1(f5(x291)))+P2(f1(x292),f1(f5(x292)))+~P2(a2,f1(x291))+~P2(f1(x293),f1(f5(x293)))+~P2(a2,f1(x292))+~P2(f1(x294),f1(f5(x294)))+~P2(f1(x295),f1(f5(x295)))+~P2(a2,f1(x293))+~P2(a2,f1(x294))+~P2(a2,f1(x295))+~P2(a2,f1(f5(x293)))+~P2(a2,f1(f5(x295)))+~P2(a2,f1(f5(x292)))+~P2(a2,f1(f5(x294)))+~P2(a2,f1(f5(x291)))+~P2(a2,f1(f5(f5(x293))))+~P2(a2,f1(f5(f5(x294))))+~P2(a2,f1(f5(f5(x295))))
% 51.78/51.78  [30]~P3(f5(x301),f5(x305))+~P3(f5(x304),f5(x301))+~P3(f5(x302),f5(x303))+~P3(f5(x305),f5(x302))+P2(f1(x301),f1(f5(x301)))+P2(f1(x302),f1(f5(x302)))+~P2(a2,f1(x301))+~P2(f1(x303),f1(f5(x303)))+~P2(a2,f1(x302))+~P2(f1(x304),f1(f5(x304)))+~P2(f1(x305),f1(f5(x305)))+~P2(a2,f1(x303))+~P2(a2,f1(x304))+~P2(a2,f1(x305))+~P2(a2,f1(f5(x303)))+~P2(a2,f1(f5(x305)))+~P2(a2,f1(f5(x302)))+~P2(a2,f1(f5(x304)))+~P2(a2,f1(f5(x301)))+~P2(a2,f1(f5(f5(x303))))+~P2(a2,f1(f5(f5(x304))))+~P2(a2,f1(f5(f5(x305))))
% 51.78/51.78  [31]~P3(f5(x314),f5(x312))+~P3(f5(x311),f5(x314))+~P3(f5(x312),f5(x315))+~P3(f5(x315),f5(x313))+P2(f1(x311),f1(f5(x311)))+P2(f1(x312),f1(f5(x312)))+~P2(a2,f1(x311))+~P2(f1(x313),f1(f5(x313)))+~P2(a2,f1(x312))+~P2(f1(x314),f1(f5(x314)))+~P2(f1(x315),f1(f5(x315)))+~P2(a2,f1(x313))+~P2(a2,f1(x314))+~P2(a2,f1(x315))+~P2(a2,f1(f5(x313)))+~P2(a2,f1(f5(x315)))+~P2(a2,f1(f5(x312)))+~P2(a2,f1(f5(x311)))+~P2(a2,f1(f5(x314)))+~P2(a2,f1(f5(f5(x313))))+~P2(a2,f1(f5(f5(x314))))+~P2(a2,f1(f5(f5(x315))))
% 51.78/51.78  [32]~P3(f5(x324),f5(x325))+~P3(f5(x321),f5(x324))+~P3(f5(x322),f5(x323))+~P3(f5(x325),f5(x322))+P2(f1(x321),f1(f5(x321)))+P2(f1(x322),f1(f5(x322)))+~P2(a2,f1(x321))+~P2(f1(x323),f1(f5(x323)))+~P2(a2,f1(x322))+~P2(f1(x324),f1(f5(x324)))+~P2(f1(x325),f1(f5(x325)))+~P2(a2,f1(x323))+~P2(a2,f1(x324))+~P2(a2,f1(x325))+~P2(a2,f1(f5(x323)))+~P2(a2,f1(f5(x325)))+~P2(a2,f1(f5(x322)))+~P2(a2,f1(f5(x321)))+~P2(a2,f1(f5(x324)))+~P2(a2,f1(f5(f5(x323))))+~P2(a2,f1(f5(f5(x324))))+~P2(a2,f1(f5(f5(x325))))
% 51.78/51.78  [33]~P3(f5(x334),f5(x331))+~P3(f5(x335),f5(x334))+~P3(f5(x331),f5(x332))+~P3(f5(x332),f5(x333))+P2(f1(x331),f1(f5(x331)))+P2(f1(x332),f1(f5(x332)))+~P2(a2,f1(x331))+~P2(f1(x333),f1(f5(x333)))+~P2(a2,f1(x332))+~P2(f1(x334),f1(f5(x334)))+~P2(f1(x335),f1(f5(x335)))+~P2(a2,f1(x333))+~P2(a2,f1(x334))+~P2(a2,f1(x335))+~P2(a2,f1(f5(x333)))+~P2(a2,f1(f5(x332)))+~P2(a2,f1(f5(x331)))+~P2(a2,f1(f5(x335)))+~P2(a2,f1(f5(x334)))+~P2(a2,f1(f5(f5(x333))))+~P2(a2,f1(f5(f5(x334))))+~P2(a2,f1(f5(f5(x335))))
% 51.78/51.78  [34]~P3(f5(x342),f5(x345))+~P3(f5(x343),f5(x342))+~P3(f5(x344),f5(x341))+~P3(f5(x345),f5(x344))+P2(f1(x341),f1(f5(x341)))+~P2(a2,f1(x341))+~P2(f1(x342),f1(f5(x342)))+~P2(f1(x343),f1(f5(x343)))+~P2(a2,f1(x342))+~P2(f1(x344),f1(f5(x344)))+~P2(f1(x345),f1(f5(x345)))+~P2(a2,f1(x343))+~P2(a2,f1(x344))+~P2(a2,f1(x345))+~P2(a2,f1(f5(x342)))+~P2(a2,f1(f5(x345)))+~P2(a2,f1(f5(x344)))+~P2(a2,f1(f5(x343)))+~P2(a2,f1(f5(x341)))+~P2(a2,f1(f5(f5(x342))))+~P2(a2,f1(f5(f5(x343))))+~P2(a2,f1(f5(f5(x344))))+~P2(a2,f1(f5(f5(x345))))
% 51.78/51.78  [35]~P3(f5(x351),f5(x355))+~P3(f5(x353),f5(x351))+~P3(f5(x354),f5(x352))+~P3(f5(x355),f5(x354))+P2(f1(x351),f1(f5(x351)))+~P2(a2,f1(x351))+~P2(f1(x352),f1(f5(x352)))+~P2(f1(x353),f1(f5(x353)))+~P2(a2,f1(x352))+~P2(f1(x354),f1(f5(x354)))+~P2(f1(x355),f1(f5(x355)))+~P2(a2,f1(x353))+~P2(a2,f1(x354))+~P2(a2,f1(x355))+~P2(a2,f1(f5(x351)))+~P2(a2,f1(f5(x355)))+~P2(a2,f1(f5(x354)))+~P2(a2,f1(f5(x353)))+~P2(a2,f1(f5(x352)))+~P2(a2,f1(f5(f5(x352))))+~P2(a2,f1(f5(f5(x353))))+~P2(a2,f1(f5(f5(x354))))+~P2(a2,f1(f5(f5(x355))))
% 51.78/51.78  [36]~P3(f5(x363),f5(x365))+~P3(f5(x361),f5(x363))+~P3(f5(x364),f5(x362))+~P3(f5(x365),f5(x364))+P2(f1(x361),f1(f5(x361)))+~P2(a2,f1(x361))+~P2(f1(x362),f1(f5(x362)))+~P2(f1(x363),f1(f5(x363)))+~P2(a2,f1(x362))+~P2(f1(x364),f1(f5(x364)))+~P2(f1(x365),f1(f5(x365)))+~P2(a2,f1(x363))+~P2(a2,f1(x364))+~P2(a2,f1(x365))+~P2(a2,f1(f5(x363)))+~P2(a2,f1(f5(x365)))+~P2(a2,f1(f5(x364)))+~P2(a2,f1(f5(x361)))+~P2(a2,f1(f5(x362)))+~P2(a2,f1(f5(f5(x362))))+~P2(a2,f1(f5(f5(x363))))+~P2(a2,f1(f5(f5(x364))))+~P2(a2,f1(f5(f5(x365))))
% 51.78/51.78  [37]~P3(f5(x373),f5(x371))+~P3(f5(x374),f5(x373))+~P3(f5(x371),f5(x375))+~P3(f5(x375),f5(x372))+P2(f1(x371),f1(f5(x371)))+~P2(a2,f1(x371))+~P2(f1(x372),f1(f5(x372)))+~P2(f1(x373),f1(f5(x373)))+~P2(a2,f1(x372))+~P2(f1(x374),f1(f5(x374)))+~P2(f1(x375),f1(f5(x375)))+~P2(a2,f1(x373))+~P2(a2,f1(x374))+~P2(a2,f1(x375))+~P2(a2,f1(f5(x373)))+~P2(a2,f1(f5(x375)))+~P2(a2,f1(f5(x371)))+~P2(a2,f1(f5(x374)))+~P2(a2,f1(f5(x372)))+~P2(a2,f1(f5(f5(x372))))+~P2(a2,f1(f5(f5(x373))))+~P2(a2,f1(f5(f5(x374))))+~P2(a2,f1(f5(f5(x375))))
% 51.78/51.78  [38]~P3(f5(x383),f5(x385))+~P3(f5(x384),f5(x383))+~P3(f5(x381),f5(x382))+~P3(f5(x385),f5(x381))+P2(f1(x381),f1(f5(x381)))+~P2(a2,f1(x381))+~P2(f1(x382),f1(f5(x382)))+~P2(f1(x383),f1(f5(x383)))+~P2(a2,f1(x382))+~P2(f1(x384),f1(f5(x384)))+~P2(f1(x385),f1(f5(x385)))+~P2(a2,f1(x383))+~P2(a2,f1(x384))+~P2(a2,f1(x385))+~P2(a2,f1(f5(x383)))+~P2(a2,f1(f5(x385)))+~P2(a2,f1(f5(x381)))+~P2(a2,f1(f5(x384)))+~P2(a2,f1(f5(x382)))+~P2(a2,f1(f5(f5(x382))))+~P2(a2,f1(f5(f5(x383))))+~P2(a2,f1(f5(f5(x384))))+~P2(a2,f1(f5(f5(x385))))
% 51.78/51.78  [39]~P3(f5(x392),f5(x395))+~P3(f5(x393),f5(x392))+~P3(f5(x394),f5(x391))+~P3(f5(x395),f5(x394))+~P2(f1(x391),f1(f5(x391)))+~P2(a2,f1(x391))+~P2(f1(x392),f1(f5(x392)))+~P2(f1(x393),f1(f5(x393)))+~P2(a2,f1(x392))+~P2(f1(x394),f1(f5(x394)))+~P2(f1(x395),f1(f5(x395)))+~P2(a2,f1(x393))+~P2(a2,f1(x394))+~P2(a2,f1(x395))+~P2(a2,f1(f5(x394)))+~P2(a2,f1(f5(x395)))+~P2(a2,f1(f5(x393)))+~P2(a2,f1(f5(x392)))+~P2(a2,f1(f5(x391)))+~P2(a2,f1(f5(f5(x391))))+~P2(a2,f1(f5(f5(x392))))+~P2(a2,f1(f5(f5(x393))))+~P2(a2,f1(f5(f5(x394))))+~P2(a2,f1(f5(f5(x395))))
% 51.78/51.78  cnf(41,plain,
% 51.78/51.78     (P3(f5(f5(a4)),f5(f5(a4)))+~P2(a2,f1(f5(a4)))+P2(f1(f5(a4)),f1(f5(f5(a4))))),
% 51.78/51.78     inference(scs_inference,[],[2,1,6,5])).
% 51.78/51.78  cnf(43,plain,
% 51.78/51.78     (~P3(f5(f5(a4)),f5(f5(a4)))+~P2(a2,f1(f5(a4)))+P2(f1(f5(a4)),f1(f5(f5(a4))))),
% 51.78/51.78     inference(scs_inference,[],[2,1,6,8])).
% 51.78/51.78  cnf(44,plain,
% 51.78/51.78     (P2(f1(f5(a4)),f1(f5(f5(a4))))+~P3(f5(f5(a4)),f5(f5(a4)))),
% 51.78/51.78     inference(scs_inference,[],[1,2,43,4])).
% 51.78/51.78  cnf(45,plain,
% 51.78/51.78     (P2(f1(f5(a4)),f1(f5(f5(a4))))+~P2(a2,f1(f5(a4)))),
% 51.78/51.78     inference(scs_inference,[],[44,41])).
% 51.78/51.78  cnf(46,plain,
% 51.78/51.78     (P2(f1(f5(a4)),f1(f5(f5(a4))))),
% 51.78/51.78     inference(scs_inference,[],[1,2,45,4])).
% 51.78/51.78  cnf(2013,plain,
% 51.78/51.78     (P2(a2,f1(a4))),
% 51.78/51.78     inference(scs_inference,[],[1,2,3])).
% 51.78/51.78  cnf(2014,plain,
% 51.78/51.78     (P1(f1(x20141),f3(a2))),
% 51.78/51.78     inference(rename_variables,[],[1])).
% 51.78/51.78  cnf(2016,plain,
% 51.78/51.78     (P2(a2,f1(f5(a4)))),
% 51.78/51.79     inference(scs_inference,[],[1,2014,2,3,4])).
% 51.78/51.79  cnf(2017,plain,
% 51.78/51.79     (P1(f1(x20171),f3(a2))),
% 51.78/51.79     inference(rename_variables,[],[1])).
% 51.78/51.79  cnf(2019,plain,
% 51.78/51.79     (P2(a2,f1(f5(f5(a4))))),
% 51.78/51.79     inference(scs_inference,[],[1,2014,2017,2,3,4,6])).
% 51.78/51.79  cnf(2024,plain,
% 51.78/51.79     (P3(f5(a4),f5(a4))+P2(f1(a4),f1(f5(a4)))),
% 51.78/51.79     inference(scs_inference,[],[1,2014,2017,46,2,3,4,6,7,5])).
% 51.78/51.79  cnf(2031,plain,
% 51.78/51.79     (~P2(f1(a4),f1(f5(a4)))),
% 51.78/51.79     inference(scs_inference,[],[2013,2016,2019,7,8,39])).
% 51.78/51.79  cnf(2032,plain,
% 51.78/51.79     (P3(f5(a4),f5(a4))),
% 51.78/51.79     inference(scs_inference,[],[2031,2024])).
% 51.78/51.79  cnf(2034,plain,
% 51.78/51.79     ($false),
% 51.78/51.79     inference(scs_inference,[],[2032,2031,2013,2016,8]),
% 51.78/51.79     ['proof']).
% 51.78/51.79  % SZS output end Proof
% 51.78/51.79  % Total time : 51.040000 s
%------------------------------------------------------------------------------