TSTP Solution File: NUM472+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 10:37:49 EDT 2023
% Result : Theorem 4.69s 4.83s
% Output : CNFRefutation 4.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 15:42:23 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 4.69/4.83 % Version : CSE_E---1.5
% 4.69/4.83 % Problem : theBenchmark.p
% 4.69/4.83 % Proof found
% 4.69/4.83 % SZS status Theorem for theBenchmark.p
% 4.69/4.83 % SZS output start Proof
% 4.69/4.83 [2]P1(a1)
% 4.69/4.83 [3]~E(a1,a8)
% 4.69/4.83 [4]P1(a8)
% 4.69/4.83 [58]P1(a11)
% 4.69/4.83 [59]P1(a10)
% 4.69/4.83 [60]P1(a9)
% 4.69/4.83 [62]P2(a9,a10)
% 4.69/4.83 [63]~E(a1,a9)
% 4.69/4.83 [61]P2(a9,f3(a10,a11))
% 4.69/4.83 [64]E(f2(a10,a9),a12)
% 4.69/4.83 [66]~P3(a10,f3(a10,a11))
% 4.69/4.83 [65]E(f2(f3(a10,a11),a9),a13)
% 4.69/4.83 [32]~P1(x321)+P3(x321,x321)
% 4.69/4.83 [9]~P1(x91)+E(f3(a1,x91),x91)
% 4.69/4.83 [10]~P1(x101)+E(f3(x101,a1),x101)
% 4.69/4.83 [13]~P1(x131)+E(f4(a8,x131),x131)
% 4.69/4.83 [14]~P1(x141)+E(f4(x141,a8),x141)
% 4.69/4.83 [15]~P1(x151)+E(f4(a1,x151),a1)
% 4.69/4.83 [16]~P1(x161)+E(f4(x161,a1),a1)
% 4.69/4.83 [5]~P1(x52)+~P1(x51)+P1(f3(x51,x52))
% 4.69/4.83 [6]~P1(x62)+~P1(x61)+P1(f4(x61,x62))
% 4.69/4.83 [7]~P1(x72)+~P1(x71)+E(f3(x71,x72),f3(x72,x71))
% 4.69/4.83 [11]~P1(x112)+~P1(x111)+E(f4(x111,x112),f4(x112,x111))
% 4.69/4.83 [45]~P1(x451)+E(x451,a8)+P3(a8,x451)+E(x451,a1)
% 4.69/4.83 [35]P3(x352,x351)+~P1(x351)+~P1(x352)+P3(x351,x352)
% 4.69/4.83 [36]~E(x362,x361)+~P1(x361)+~P1(x362)+P3(x361,x362)
% 4.69/4.83 [23]~P1(x232)+~P1(x231)+E(x231,a1)+~E(f3(x232,x231),a1)
% 4.69/4.83 [24]~P1(x242)+~P1(x241)+E(x241,a1)+~E(f3(x241,x242),a1)
% 4.69/4.83 [28]~P1(x282)+~P1(x281)+~P3(x281,x282)+P1(f5(x281,x282))
% 4.69/4.83 [47]~P1(x472)+~P1(x471)+P3(x472,f4(x472,x471))+E(x471,a1)
% 4.69/4.83 [52]~P1(x522)+~P1(x521)+~P2(x521,x522)+P1(f6(x521,x522))
% 4.69/4.83 [27]~P1(x272)+~P1(x271)+~P3(x271,x272)+E(f3(x271,f5(x271,x272)),x272)
% 4.69/4.83 [51]~P1(x511)+~P1(x512)+~P2(x511,x512)+E(f4(x511,f6(x511,x512)),x512)
% 4.69/4.83 [8]~P1(x83)+~P1(x82)+~P1(x81)+E(f3(f3(x81,x82),x83),f3(x81,f3(x82,x83)))
% 4.69/4.83 [12]~P1(x123)+~P1(x122)+~P1(x121)+E(f4(f4(x121,x122),x123),f4(x121,f4(x122,x123)))
% 4.69/4.83 [17]~P1(x172)+~P1(x173)+~P1(x171)+E(f3(f4(x171,x172),f4(x173,x172)),f4(f3(x171,x173),x172))
% 4.69/4.83 [18]~P1(x183)+~P1(x182)+~P1(x181)+E(f3(f4(x181,x182),f4(x181,x183)),f4(x181,f3(x182,x183)))
% 4.69/4.83 [33]~P1(x332)+~P1(x331)+~P3(x332,x331)+~P3(x331,x332)+E(x331,x332)
% 4.69/4.83 [49]P4(x491,x492)+~P1(x492)+~P1(x491)+~P3(x491,x492)+E(x491,x492)
% 4.69/4.83 [25]~P1(x251)+~P1(x252)+E(x251,a1)+E(x252,a1)+~E(f4(x252,x251),a1)
% 4.69/4.83 [19]~P1(x192)+~P1(x193)+~P1(x191)+E(x191,x192)+~E(f3(x191,x193),f3(x192,x193))
% 4.69/4.83 [20]~P1(x202)+~P1(x201)+~P1(x203)+E(x201,x202)+~E(f3(x203,x201),f3(x203,x202))
% 4.69/4.83 [26]~P1(x262)+~P1(x261)+~P1(x263)+P3(x261,x262)+~E(f3(x261,x263),x262)
% 4.69/4.83 [30]~P1(x303)+~P1(x301)+~P3(x301,x303)+~E(x302,f7(x303,x301))+E(f3(x301,x302),x303)
% 4.69/4.83 [31]~P1(x313)+~P1(x312)+~P3(x313,x312)+P1(x311)+~E(x311,f7(x312,x313))
% 4.69/4.83 [50]~P1(x501)+~P1(x502)+~P1(x503)+P2(x501,x502)+~E(x502,f4(x501,x503))
% 4.69/4.83 [34]~P1(x342)+~P1(x341)+~P3(x343,x342)+~P3(x341,x343)+P3(x341,x342)+~P1(x343)
% 4.69/4.83 [56]~P1(x562)+~P1(x561)+~P2(x563,x562)+~P2(x561,x563)+P2(x561,x562)+~P1(x563)
% 4.69/4.83 [21]~P1(x212)+~P1(x213)+~P1(x211)+E(x211,x212)+~E(f4(x211,x213),f4(x212,x213))+E(x213,a1)
% 4.69/4.83 [22]~P1(x222)+~P1(x221)+~P1(x223)+E(x221,x222)+~E(f4(x223,x221),f4(x223,x222))+E(x223,a1)
% 4.69/4.83 [29]~P1(x292)+~P1(x293)+~P1(x291)+~P3(x293,x292)+~E(f3(x293,x291),x292)+E(x291,f7(x292,x293))
% 4.69/4.83 [37]~P1(x372)+~P1(x373)+~P1(x371)+~P3(x371,x372)+E(x371,x372)+P3(f3(x371,x373),f3(x372,x373))
% 4.69/4.83 [39]~P1(x392)+~P1(x391)+~P1(x393)+~P3(x391,x392)+E(x391,x392)+P3(f3(x393,x391),f3(x393,x392))
% 4.69/4.83 [54]~P1(x541)+~P1(x542)+~P2(x541,x542)+~E(x543,f2(x542,x541))+E(x541,a1)+E(x542,f4(x541,x543))
% 4.69/4.83 [55]~P1(x551)+~P1(x553)+~P2(x551,x553)+P1(x552)+E(x551,a1)+~E(x552,f2(x553,x551))
% 4.69/4.83 [57]~P1(x573)+~P1(x572)+~P1(x571)+~P2(x571,x573)+~P2(x571,x572)+P2(x571,f3(x572,x573))
% 4.69/4.83 [41]~P1(x412)+~P1(x413)+~P1(x411)+~P3(x411,x412)+E(x411,x412)+P3(f4(x411,x413),f4(x412,x413))+E(x413,a1)
% 4.69/4.83 [43]~P1(x432)+~P1(x431)+~P1(x433)+~P3(x431,x432)+E(x431,x432)+P3(f4(x433,x431),f4(x433,x432))+E(x433,a1)
% 4.69/4.83 [53]~P1(x531)+~P1(x533)+~P1(x532)+~P2(x531,x533)+~E(x533,f4(x531,x532))+E(x531,a1)+E(x532,f2(x533,x531))
% 4.69/4.83 [67]E(x671,x671)
% 4.69/4.83 [68]E(x682,x681)+~E(x681,x682)
% 4.69/4.83 [69]E(x691,x693)+~E(x691,x692)+~E(x692,x693)
% 4.69/4.83 [70]~E(x701,x702)+E(f2(x701,x703),f2(x702,x703))
% 4.69/4.83 [71]~E(x711,x712)+E(f2(x713,x711),f2(x713,x712))
% 4.69/4.83 [72]~E(x721,x722)+E(f3(x721,x723),f3(x722,x723))
% 4.69/4.83 [73]~E(x731,x732)+E(f3(x733,x731),f3(x733,x732))
% 4.69/4.83 [74]~E(x741,x742)+E(f4(x741,x743),f4(x742,x743))
% 4.69/4.83 [75]~E(x751,x752)+E(f4(x753,x751),f4(x753,x752))
% 4.69/4.83 [76]~E(x761,x762)+E(f7(x761,x763),f7(x762,x763))
% 4.69/4.83 [77]~E(x771,x772)+E(f7(x773,x771),f7(x773,x772))
% 4.69/4.83 [78]~E(x781,x782)+E(f5(x781,x783),f5(x782,x783))
% 4.69/4.83 [79]~E(x791,x792)+E(f5(x793,x791),f5(x793,x792))
% 4.69/4.83 [80]~E(x801,x802)+E(f6(x801,x803),f6(x802,x803))
% 4.69/4.83 [81]~E(x811,x812)+E(f6(x813,x811),f6(x813,x812))
% 4.69/4.83 [82]~P1(x821)+P1(x822)+~E(x821,x822)
% 4.69/4.83 [83]P3(x832,x833)+~E(x831,x832)+~P3(x831,x833)
% 4.69/4.83 [84]P3(x843,x842)+~E(x841,x842)+~P3(x843,x841)
% 4.69/4.83 [85]P2(x852,x853)+~E(x851,x852)+~P2(x851,x853)
% 4.69/4.83 [86]P2(x863,x862)+~E(x861,x862)+~P2(x863,x861)
% 4.69/4.83 [87]P4(x872,x873)+~E(x871,x872)+~P4(x871,x873)
% 4.69/4.83 [88]P4(x883,x882)+~E(x881,x882)+~P4(x883,x881)
% 4.69/4.83 cnf(93,plain,
% 4.69/4.83 (P3(x931,f3(x931,x932))+~P1(f3(x931,x932))+~P1(x931)+~P1(x932)),
% 4.69/4.83 inference(equality_inference,[],[26])).
% 4.69/4.83 cnf(94,plain,
% 4.69/4.83 (~P3(x941,f3(x941,x942))+~P1(f3(x941,x942))+~P1(x941)+~P1(x942)+E(x942,f7(f3(x941,x942),x941))),
% 4.69/4.83 inference(equality_inference,[],[29])).
% 4.69/4.83 cnf(95,plain,
% 4.69/4.83 (~P3(x951,x952)+~P1(x952)+~P1(x951)+E(f3(x951,f7(x952,x951)),x952)),
% 4.69/4.83 inference(equality_inference,[],[30])).
% 4.69/4.83 cnf(96,plain,
% 4.69/4.83 (~P3(x961,x962)+~P1(x961)+~P1(x962)+P1(f7(x962,x961))),
% 4.69/4.83 inference(equality_inference,[],[31])).
% 4.69/4.83 cnf(98,plain,
% 4.69/4.83 (P2(x981,f4(x981,x982))+~P1(x981)+~P1(f4(x981,x982))+~P1(x982)),
% 4.69/4.83 inference(equality_inference,[],[50])).
% 4.69/4.83 cnf(102,plain,
% 4.69/4.83 (E(a12,f2(a10,a9))),
% 4.69/4.83 inference(scs_inference,[],[64,68])).
% 4.69/4.83 cnf(103,plain,
% 4.69/4.83 (P3(a1,a1)),
% 4.69/4.83 inference(scs_inference,[],[2,64,68,35])).
% 4.69/4.83 cnf(105,plain,
% 4.69/4.83 (E(f3(a1,f7(a1,a1)),a1)),
% 4.69/4.83 inference(scs_inference,[],[2,64,68,35,95])).
% 4.69/4.83 cnf(107,plain,
% 4.69/4.83 (P1(f7(a1,a1))),
% 4.69/4.83 inference(scs_inference,[],[2,64,68,35,95,96])).
% 4.69/4.83 cnf(109,plain,
% 4.69/4.83 (E(f7(a1,a1),a1)),
% 4.69/4.83 inference(scs_inference,[],[2,64,68,35,95,96,23])).
% 4.69/4.83 cnf(111,plain,
% 4.69/4.83 (P3(x1111,a1)+~E(a1,x1111)),
% 4.69/4.83 inference(scs_inference,[],[2,64,68,35,95,96,23,83])).
% 4.69/4.83 cnf(116,plain,
% 4.69/4.83 (E(a1,f3(a1,f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[105,68])).
% 4.69/4.84 cnf(117,plain,
% 4.69/4.84 (P3(f3(a1,f7(a1,a1)),a1)),
% 4.69/4.84 inference(scs_inference,[],[103,105,68,83])).
% 4.69/4.84 cnf(118,plain,
% 4.69/4.84 (P3(a1,f3(a1,f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[103,105,68,83,84])).
% 4.69/4.84 cnf(119,plain,
% 4.69/4.84 (P1(f3(a1,f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[103,105,2,68,83,84,82])).
% 4.69/4.84 cnf(120,plain,
% 4.69/4.84 (P3(f7(a1,a1),f7(a1,a1))),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,68,83,84,82,35])).
% 4.69/4.84 cnf(122,plain,
% 4.69/4.84 (E(f3(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1))),f7(a1,a1))),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,68,83,84,82,35,95])).
% 4.69/4.84 cnf(124,plain,
% 4.69/4.84 (P1(f3(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1))))),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,68,83,84,82,35,95,31])).
% 4.69/4.84 cnf(126,plain,
% 4.69/4.84 (E(f3(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1))),a1)),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,109,68,83,84,82,35,95,31,69])).
% 4.69/4.84 cnf(127,plain,
% 4.69/4.84 (P2(x1271,f3(a10,a11))+~E(a9,x1271)),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,109,61,68,83,84,82,35,95,31,69,85])).
% 4.69/4.84 cnf(128,plain,
% 4.69/4.84 (P1(f7(f7(a1,a1),f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,109,61,68,83,84,82,35,95,31,69,85,96])).
% 4.69/4.84 cnf(130,plain,
% 4.69/4.84 (E(f7(f7(a1,a1),f7(a1,a1)),a1)),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,109,61,68,83,84,82,35,95,31,69,85,96,23])).
% 4.69/4.84 cnf(132,plain,
% 4.69/4.84 (P3(f7(a1,a1),a1)),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,109,61,68,83,84,82,35,95,31,69,85,96,23,26])).
% 4.69/4.84 cnf(134,plain,
% 4.69/4.84 (E(f7(f7(a1,a1),f7(a1,a1)),f7(a1,f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,2,109,61,68,83,84,82,35,95,31,69,85,96,23,26,29])).
% 4.69/4.84 cnf(139,plain,
% 4.69/4.84 (P3(a8,a8)),
% 4.69/4.84 inference(scs_inference,[],[103,107,105,4,2,109,61,68,83,84,82,35,95,31,69,85,96,23,26,29,86,98,36])).
% 4.69/4.84 cnf(148,plain,
% 4.69/4.84 (P1(f7(a1,f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[128,122,134,68,82])).
% 4.69/4.84 cnf(149,plain,
% 4.69/4.84 (P3(a1,f7(a1,a1))),
% 4.69/4.84 inference(scs_inference,[],[120,128,122,134,109,68,82,83])).
% 4.69/4.84 cnf(151,plain,
% 4.69/4.84 (P1(f7(a8,a8))),
% 4.69/4.84 inference(scs_inference,[],[120,117,139,128,122,134,4,116,109,68,82,83,84,96])).
% 4.69/4.84 cnf(153,plain,
% 4.69/4.84 (P3(f7(f7(a1,a1),f7(a1,a1)),f7(f7(a1,a1),f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[120,117,139,128,122,134,4,116,109,68,82,83,84,96,35])).
% 4.69/4.84 cnf(155,plain,
% 4.69/4.84 (E(f3(a8,f7(a8,a8)),a8)),
% 4.69/4.84 inference(scs_inference,[],[120,117,139,128,122,134,4,116,109,68,82,83,84,96,35,95])).
% 4.69/4.84 cnf(157,plain,
% 4.69/4.84 (E(a1,f7(a1,a1))),
% 4.69/4.84 inference(scs_inference,[],[120,117,132,139,107,128,122,134,4,2,116,109,68,82,83,84,96,35,95,33])).
% 4.69/4.84 cnf(159,plain,
% 4.69/4.84 (P3(f3(a1,f7(a1,a1)),f7(a1,a1))),
% 4.69/4.84 inference(scs_inference,[],[120,117,132,139,107,128,122,134,4,2,116,119,109,68,82,83,84,96,35,95,33,34])).
% 4.69/4.84 cnf(161,plain,
% 4.69/4.84 (P2(x1611,a10)+~E(a9,x1611)),
% 4.69/4.84 inference(scs_inference,[],[120,117,132,139,107,128,122,134,4,2,116,119,109,62,68,82,83,84,96,35,95,33,34,85])).
% 4.69/4.84 cnf(162,plain,
% 4.69/4.84 (~E(a1,f3(a8,f7(a8,a8)))),
% 4.69/4.84 inference(scs_inference,[],[120,117,132,139,107,128,122,134,4,2,116,119,3,109,62,68,82,83,84,96,35,95,33,34,85,69])).
% 4.69/4.84 cnf(166,plain,
% 4.69/4.84 (P3(a11,a11)),
% 4.69/4.84 inference(scs_inference,[],[120,117,132,139,107,128,122,134,58,4,2,116,119,3,109,62,68,82,83,84,96,35,95,33,34,85,69,86,98,36])).
% 4.69/4.84 cnf(174,plain,
% 4.69/4.84 (E(f7(a1,f7(a1,a1)),f7(f7(a1,a1),f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[134,68])).
% 4.69/4.84 cnf(177,plain,
% 4.69/4.84 (P3(f7(f7(a1,a1),f7(a1,a1)),f7(a1,f7(a1,a1)))),
% 4.69/4.84 inference(scs_inference,[],[153,105,134,157,68,83,69,84])).
% 4.69/4.84 cnf(178,plain,
% 4.69/4.84 (P1(f7(a11,a11))),
% 4.69/4.84 inference(scs_inference,[],[153,166,105,134,157,58,68,83,69,84,96])).
% 4.69/4.84 cnf(180,plain,
% 4.69/4.84 (P3(f7(a8,a8),f7(a8,a8))),
% 4.69/4.84 inference(scs_inference,[],[153,166,105,134,157,151,58,68,83,69,84,96,35])).
% 4.69/4.84 cnf(182,plain,
% 4.69/4.84 (E(f3(f7(a8,a8),f7(f7(a8,a8),f7(a8,a8))),f7(a8,a8))),
% 4.69/4.84 inference(scs_inference,[],[153,166,105,134,157,151,58,68,83,69,84,96,35,95])).
% 4.69/4.84 cnf(184,plain,
% 4.69/4.84 (P1(f3(f7(a8,a8),f7(f7(a8,a8),f7(a8,a8))))),
% 4.69/4.84 inference(scs_inference,[],[153,166,139,105,134,157,151,4,58,68,83,69,84,96,35,95,31])).
% 4.69/4.84 cnf(186,plain,
% 4.69/4.84 (E(f7(a1,a1),f7(f7(a1,a1),a1))),
% 4.69/4.84 inference(scs_inference,[],[153,149,166,139,105,107,134,157,151,4,58,2,68,83,69,84,96,35,95,31,29])).
% 4.69/4.84 cnf(191,plain,
% 4.69/4.84 (P3(a10,a10)),
% 4.69/4.84 inference(scs_inference,[],[153,149,166,139,105,107,134,157,151,59,4,58,2,102,68,83,69,84,96,35,95,31,29,82,98,36])).
% 4.69/4.84 cnf(196,plain,
% 4.69/4.84 (E(a8,f3(a8,f7(a8,a8)))),
% 4.69/4.84 inference(scs_inference,[],[155,68])).
% 4.69/4.84 cnf(197,plain,
% 4.69/4.84 (P3(f7(f7(a1,a1),a1),f7(a1,a1))),
% 4.69/4.84 inference(scs_inference,[],[120,155,186,68,83])).
% 4.69/4.84 cnf(198,plain,
% 4.69/4.84 (E(f7(a1,f7(a1,a1)),a1)),
% 4.69/4.84 inference(scs_inference,[],[120,155,186,130,174,68,83,69])).
% 4.69/4.84 cnf(199,plain,
% 4.69/4.84 (P3(f7(a1,a1),f7(f7(a1,a1),a1))),
% 4.69/4.84 inference(scs_inference,[],[120,155,186,130,174,68,83,69,84])).
% 4.69/4.84 cnf(200,plain,
% 4.69/4.84 (P1(f7(f7(a1,a1),a1))),
% 4.69/4.84 inference(scs_inference,[],[120,107,155,186,130,174,68,83,69,84,82])).
% 4.69/4.84 cnf(201,plain,
% 4.69/4.84 (P1(f7(f7(a8,a8),f7(a8,a8)))),
% 4.69/4.84 inference(scs_inference,[],[120,180,107,155,151,186,130,174,68,83,69,84,82,96])).
% 4.69/4.84 cnf(203,plain,
% 4.69/4.84 (P3(f7(a11,a11),f7(a11,a11))),
% 4.69/4.84 inference(scs_inference,[],[120,180,107,155,151,186,178,130,174,68,83,69,84,82,96,35])).
% 4.69/4.84 cnf(205,plain,
% 4.69/4.84 (E(f3(f7(a11,a11),f7(f7(a11,a11),f7(a11,a11))),f7(a11,a11))),
% 4.69/4.84 inference(scs_inference,[],[120,180,107,155,151,186,178,130,174,68,83,69,84,82,96,35,95])).
% 4.69/4.84 cnf(215,plain,
% 4.69/4.84 (P3(f3(f7(a8,a8),f7(f7(a8,a8),f7(a8,a8))),f7(a8,a8))),
% 4.69/4.84 inference(scs_inference,[],[180,182,68,83])).
% 4.69/4.84 cnf(216,plain,
% 4.69/4.84 (P3(f7(a8,a8),f3(f7(a8,a8),f7(f7(a8,a8),f7(a8,a8))))),
% 4.69/4.84 inference(scs_inference,[],[180,182,68,83,84])).
% 4.69/4.84 cnf(217,plain,
% 4.69/4.84 (P1(f3(a8,f7(a8,a8)))),
% 4.69/4.84 inference(scs_inference,[],[180,182,4,196,68,83,84,82])).
% 4.69/4.84 cnf(218,plain,
% 4.69/4.84 (P1(f7(a10,a10))),
% 4.69/4.84 inference(scs_inference,[],[180,191,182,59,4,196,68,83,84,82,96])).
% 4.69/4.84 cnf(220,plain,
% 4.69/4.84 (E(f3(a10,f7(a10,a10)),a10)),
% 4.69/4.84 inference(scs_inference,[],[180,191,182,59,4,196,68,83,84,82,96,95])).
% 4.69/4.84 cnf(222,plain,
% 4.69/4.84 (P3(f7(f7(a8,a8),f7(a8,a8)),f7(f7(a8,a8),f7(a8,a8)))),
% 4.69/4.84 inference(scs_inference,[],[180,191,182,201,59,4,196,68,83,84,82,96,95,35])).
% 4.69/4.84 cnf(236,plain,
% 4.69/4.84 (P1(f7(f7(a11,a11),f7(a11,a11)))),
% 4.69/4.84 inference(scs_inference,[],[203,205,178,68,83,84,96])).
% 4.69/4.84 cnf(238,plain,
% 4.69/4.84 (E(f3(a11,f7(a11,a11)),a11)),
% 4.69/4.84 inference(scs_inference,[],[203,166,205,178,58,68,83,84,96,95])).
% 4.69/4.84 cnf(240,plain,
% 4.69/4.84 (P3(f7(a10,a10),f7(a10,a10))),
% 4.75/4.84 inference(scs_inference,[],[203,166,205,178,218,58,68,83,84,96,95,35])).
% 4.75/4.84 cnf(242,plain,
% 4.75/4.84 (E(x2421,a10)+~E(x2421,f3(a10,f7(a10,a10)))),
% 4.75/4.84 inference(scs_inference,[],[203,166,205,178,218,220,58,68,83,84,96,95,35,69])).
% 4.75/4.84 cnf(251,plain,
% 4.75/4.84 (P3(f7(a1,a1),f3(a1,f7(a1,a1)))),
% 4.75/4.84 inference(scs_inference,[],[118,157,220,62,68,86,83])).
% 4.75/4.84 cnf(252,plain,
% 4.75/4.84 (P3(a1,f7(f7(a1,a1),a1))),
% 4.75/4.84 inference(scs_inference,[],[118,149,157,186,220,62,68,86,83,84])).
% 4.75/4.84 cnf(253,plain,
% 4.75/4.84 (P1(f3(a10,f7(a10,a10)))),
% 4.75/4.84 inference(scs_inference,[],[118,149,157,186,220,59,62,68,86,83,84,82])).
% 4.75/4.84 cnf(254,plain,
% 4.75/4.84 (P1(f7(f7(a10,a10),f7(a10,a10)))),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,157,186,220,59,218,62,68,86,83,84,82,96])).
% 4.75/4.84 cnf(256,plain,
% 4.75/4.84 (P3(f7(f7(a11,a11),f7(a11,a11)),f7(f7(a11,a11),f7(a11,a11)))),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,157,186,220,59,236,218,62,68,86,83,84,82,96,35])).
% 4.75/4.84 cnf(258,plain,
% 4.75/4.84 (E(f3(f7(a10,a10),f7(f7(a10,a10),f7(a10,a10))),f7(a10,a10))),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,157,186,220,59,236,218,62,68,86,83,84,82,96,35,95])).
% 4.75/4.84 cnf(260,plain,
% 4.75/4.84 (E(f7(a1,a1),f3(a1,f7(a1,a1)))),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,159,157,107,186,220,59,236,218,62,119,68,86,83,84,82,96,35,95,33])).
% 4.75/4.84 cnf(262,plain,
% 4.75/4.84 (P1(f3(f7(a10,a10),f7(f7(a10,a10),f7(a10,a10))))),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,159,191,157,107,186,220,59,236,218,62,119,68,86,83,84,82,96,35,95,33,31])).
% 4.75/4.84 cnf(264,plain,
% 4.75/4.84 (P2(x2641,f3(a10,f7(a10,a10)))+~E(a9,x2641)),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,159,191,157,107,186,220,59,236,218,62,119,68,86,83,84,82,96,35,95,33,31,85])).
% 4.75/4.84 cnf(265,plain,
% 4.75/4.84 (E(x2651,a11)+~E(x2651,f3(a11,f7(a11,a11)))),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,159,191,157,107,186,220,59,236,238,218,62,119,68,86,83,84,82,96,35,95,33,31,85,69])).
% 4.75/4.84 cnf(270,plain,
% 4.75/4.84 (P3(a9,a9)),
% 4.75/4.84 inference(scs_inference,[],[240,118,149,159,191,157,107,186,220,178,59,236,238,60,218,62,119,68,86,83,84,82,96,35,95,33,31,85,69,93,98,36])).
% 4.75/4.84 cnf(276,plain,
% 4.75/4.84 (E(a11,f3(a11,f7(a11,a11)))),
% 4.75/4.84 inference(scs_inference,[],[238,68])).
% 4.75/4.84 cnf(277,plain,
% 4.75/4.84 (P3(f7(f7(a1,a1),a1),a1)),
% 4.75/4.84 inference(scs_inference,[],[132,186,238,68,83])).
% 4.75/4.84 cnf(279,plain,
% 4.75/4.84 (P1(f3(a11,f7(a11,a11)))),
% 4.75/4.84 inference(scs_inference,[],[132,197,186,238,58,68,83,84,82])).
% 4.75/4.84 cnf(280,plain,
% 4.75/4.84 (P1(f7(a9,a9))),
% 4.75/4.84 inference(scs_inference,[],[132,197,270,186,238,60,58,68,83,84,82,96])).
% 4.75/4.84 cnf(284,plain,
% 4.75/4.84 (E(f3(a9,f7(a9,a9)),a9)),
% 4.75/4.84 inference(scs_inference,[],[132,197,270,186,238,254,60,58,68,83,84,82,96,35,95])).
% 4.75/4.84 cnf(286,plain,
% 4.75/4.84 (E(f7(f7(a1,a1),a1),a1)),
% 4.75/4.84 inference(scs_inference,[],[132,197,252,270,186,238,254,60,58,2,200,68,83,84,82,96,35,95,33])).
% 4.75/4.84 cnf(288,plain,
% 4.75/4.84 (E(x2881,f7(a10,a10))+~E(x2881,f3(f7(a10,a10),f7(f7(a10,a10),f7(a10,a10))))),
% 4.75/4.84 inference(scs_inference,[],[132,197,252,270,186,238,258,254,60,58,2,200,68,83,84,82,96,35,95,33,69])).
% 4.75/4.84 cnf(296,plain,
% 4.75/4.84 (E(f7(a10,a10),f3(f7(a10,a10),f7(f7(a10,a10),f7(a10,a10))))),
% 4.75/4.84 inference(scs_inference,[],[258,68])).
% 4.75/4.84 cnf(298,plain,
% 4.75/4.84 (P3(f7(a10,a10),f3(f7(a10,a10),f7(f7(a10,a10),f7(a10,a10))))),
% 4.75/4.84 inference(scs_inference,[],[240,258,68,83,84])).
% 4.75/4.84 cnf(299,plain,
% 4.75/4.84 (~E(a1,f3(a9,f7(a9,a9)))),
% 4.75/4.84 inference(scs_inference,[],[240,258,284,63,68,83,84,69])).
% 4.75/4.84 cnf(300,plain,
% 4.75/4.84 (P3(f7(a9,a9),f7(a9,a9))),
% 4.75/4.84 inference(scs_inference,[],[240,258,280,284,63,68,83,84,69,35])).
% 4.75/4.84 cnf(302,plain,
% 4.75/4.84 (E(f3(f7(a9,a9),f7(f7(a9,a9),f7(a9,a9))),f7(a9,a9))),
% 4.75/4.84 inference(scs_inference,[],[240,258,280,284,63,68,83,84,69,35,95])).
% 4.75/4.84 cnf(304,plain,
% 4.75/4.84 (E(a1,f7(f7(a1,a1),a1))),
% 4.75/4.84 inference(scs_inference,[],[240,252,277,258,280,284,2,63,200,68,83,84,69,35,95,33])).
% 4.75/4.84 cnf(309,plain,
% 4.75/4.84 (P1(f7(f7(a9,a9),f7(a9,a9)))),
% 4.75/4.84 inference(scs_inference,[],[240,252,277,270,258,280,284,60,2,63,200,65,68,83,84,69,35,95,33,31,82,96])).
% 4.75/4.84 cnf(318,plain,
% 4.75/4.84 (E(a9,f3(a9,f7(a9,a9)))),
% 4.75/4.84 inference(scs_inference,[],[284,68])).
% 4.75/4.84 cnf(320,plain,
% 4.75/4.84 (P3(f7(a1,f7(a1,a1)),f7(a1,f7(a1,a1)))),
% 4.75/4.84 inference(scs_inference,[],[177,134,284,61,68,85,83])).
% 4.75/4.84 cnf(322,plain,
% 4.75/4.84 (E(f3(a1,f7(a1,a1)),f7(f7(a1,a1),a1))),
% 4.75/4.84 inference(scs_inference,[],[159,177,105,134,186,284,304,61,68,85,83,84,69])).
% 4.75/4.84 cnf(323,plain,
% 4.75/4.84 (P1(f3(a9,f7(a9,a9)))),
% 4.75/4.84 inference(scs_inference,[],[159,177,105,134,186,284,60,304,61,68,85,83,84,69,82])).
% 4.75/4.84 cnf(326,plain,
% 4.75/4.84 (E(f7(a1,a1),f7(f7(f7(a1,a1),a1),a1))),
% 4.75/4.84 inference(scs_inference,[],[159,177,252,105,107,134,186,284,60,2,309,304,61,200,68,85,83,84,69,82,35,29])).
% 4.75/4.84 cnf(328,plain,
% 4.75/4.84 (P2(f3(a9,f7(a9,a9)),f3(a10,f7(a10,a10)))),
% 4.75/4.84 inference(scs_inference,[],[159,177,252,105,107,134,186,284,60,2,309,304,61,200,68,85,83,84,69,82,35,29,264])).
% 4.75/4.84 cnf(329,plain,
% 4.75/4.84 (P2(f3(a9,f7(a9,a9)),a10)),
% 4.75/4.84 inference(scs_inference,[],[159,177,252,105,107,134,186,284,60,2,309,304,61,200,68,85,83,84,69,82,35,29,264,161])).
% 4.75/4.84 cnf(335,plain,
% 4.75/4.84 (P3(f3(a10,f7(a10,a10)),f3(a10,f7(a10,a10)))),
% 4.75/4.84 inference(scs_inference,[],[159,177,252,105,107,134,186,284,218,280,60,2,309,304,61,253,200,68,85,83,84,69,82,35,29,264,161,86,93,98,36])).
% 4.75/4.84 cnf(342,plain,
% 4.75/4.84 (P1(f7(f7(f7(a1,a1),a1),a1))),
% 4.75/4.84 inference(scs_inference,[],[300,107,302,326,68,83,84,82])).
% 4.75/4.84 cnf(343,plain,
% 4.75/4.84 (P3(f3(a11,f7(a11,a11)),f3(a11,f7(a11,a11)))),
% 4.75/4.84 inference(scs_inference,[],[300,107,302,326,279,68,83,84,82,35])).
% 4.75/4.84 cnf(345,plain,
% 4.75/4.84 (E(x3451,a13)+~E(x3451,f2(f3(a10,a11),a9))),
% 4.75/4.84 inference(scs_inference,[],[300,107,302,326,279,65,68,83,84,82,35,69])).
% 4.75/4.84 cnf(354,plain,
% 4.75/4.84 (P3(f3(a9,f7(a9,a9)),f3(a9,f7(a9,a9)))),
% 4.75/4.84 inference(scs_inference,[],[343,238,326,323,68,83,84,35])).
% 4.75/4.84 cnf(369,plain,
% 4.75/4.84 (P3(f3(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1))),f7(a1,a1))),
% 4.75/4.84 inference(scs_inference,[],[354,149,107,60,2,284,124,126,68,83,84,111,93,34])).
% 4.75/4.84 cnf(376,plain,
% 4.75/4.84 (~E(a10,f3(a10,a11))),
% 4.75/4.85 inference(scs_inference,[],[66,251,191,186,322,68,83,84])).
% 4.75/4.85 cnf(391,plain,
% 4.75/4.85 (E(f3(a1,f7(a1,a1)),f7(a1,f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[105,198,68,69])).
% 4.75/4.85 cnf(392,plain,
% 4.75/4.85 (P3(a10,f3(a10,f7(a10,a10)))),
% 4.75/4.85 inference(scs_inference,[],[335,105,220,198,68,69,83])).
% 4.75/4.85 cnf(393,plain,
% 4.75/4.85 (P3(a8,f3(a8,f7(a8,a8)))),
% 4.75/4.85 inference(scs_inference,[],[335,139,105,220,198,196,68,69,83,84])).
% 4.75/4.85 cnf(394,plain,
% 4.75/4.85 (P3(a1,f7(a1,f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[335,139,107,105,2,220,148,198,196,68,69,83,84,26])).
% 4.75/4.85 cnf(396,plain,
% 4.75/4.85 (E(f7(a1,a1),f7(f7(a1,f7(a1,a1)),a1))),
% 4.75/4.85 inference(scs_inference,[],[335,139,107,105,2,220,148,198,196,68,69,83,84,26,29])).
% 4.75/4.85 cnf(399,plain,
% 4.75/4.85 (P1(f7(f7(a1,f7(a1,a1)),a1))),
% 4.75/4.85 inference(scs_inference,[],[335,139,107,105,2,220,148,198,196,68,69,83,84,26,29,111,82])).
% 4.75/4.85 cnf(402,plain,
% 4.75/4.85 (P3(f7(a1,f7(a1,a1)),f7(a1,a1))),
% 4.75/4.85 inference(scs_inference,[],[149,335,139,107,105,2,220,148,198,196,68,69,83,84,26,29,111,82,93,34])).
% 4.75/4.85 cnf(405,plain,
% 4.75/4.85 (E(f7(f7(a1,f7(a1,a1)),a1),f7(a1,a1))),
% 4.75/4.85 inference(scs_inference,[],[396,68])).
% 4.75/4.85 cnf(406,plain,
% 4.75/4.85 (E(f7(a1,a1),f7(a1,f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[260,396,391,68,69])).
% 4.75/4.85 cnf(407,plain,
% 4.75/4.85 (P3(f7(f7(a1,a1),f7(a1,a1)),f7(a1,a1))),
% 4.75/4.85 inference(scs_inference,[],[402,260,396,174,391,68,69,83])).
% 4.75/4.85 cnf(408,plain,
% 4.75/4.85 (P3(f7(a1,f7(a1,a1)),f7(f7(a1,a1),a1))),
% 4.75/4.85 inference(scs_inference,[],[402,186,260,396,174,391,68,69,83,84])).
% 4.75/4.85 cnf(411,plain,
% 4.75/4.85 (E(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1)))+~P3(a1,f7(f7(a1,a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[132,402,107,2,128,186,260,396,174,391,68,69,83,84,33,34])).
% 4.75/4.85 cnf(417,plain,
% 4.75/4.85 (P3(f7(f7(a1,a1),f7(a1,a1)),f7(f7(a1,a1),a1))),
% 4.75/4.85 inference(scs_inference,[],[408,105,174,130,68,69,83])).
% 4.75/4.85 cnf(418,plain,
% 4.75/4.85 (P3(a1,f7(f7(a1,a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[408,394,105,174,130,68,69,83,84])).
% 4.75/4.85 cnf(419,plain,
% 4.75/4.85 (E(f7(a1,a1),f7(f7(f7(a1,a1),f7(a1,a1)),a1))),
% 4.75/4.85 inference(scs_inference,[],[408,394,107,105,2,128,174,130,68,69,83,84,29])).
% 4.75/4.85 cnf(421,plain,
% 4.75/4.85 (E(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[408,394,107,105,2,128,174,130,68,69,83,84,29,411])).
% 4.75/4.85 cnf(423,plain,
% 4.75/4.85 (P1(f7(f7(f7(a1,a1),f7(a1,a1)),a1))),
% 4.75/4.85 inference(scs_inference,[],[408,394,107,105,2,128,174,130,68,69,83,84,29,411,111,82])).
% 4.75/4.85 cnf(431,plain,
% 4.75/4.85 (P3(f7(a1,a1),f7(f7(a1,a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[418,157,421,68,83])).
% 4.75/4.85 cnf(433,plain,
% 4.75/4.85 (~E(f7(a10,a10),a11)),
% 4.75/4.85 inference(scs_inference,[],[66,418,392,157,421,68,83,84,73])).
% 4.75/4.85 cnf(434,plain,
% 4.75/4.85 (~E(f7(a10,a10),f3(a11,f7(a11,a11)))),
% 4.75/4.85 inference(scs_inference,[],[66,418,392,157,238,421,68,83,84,73,69])).
% 4.75/4.85 cnf(441,plain,
% 4.75/4.85 (P3(f7(a1,a1),f7(a1,f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[431,134,186,419,68,83,84])).
% 4.75/4.85 cnf(442,plain,
% 4.75/4.85 (E(f7(f7(a1,a1),a1),f7(f7(a1,a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[431,417,128,134,186,419,200,68,83,84,33])).
% 4.75/4.85 cnf(453,plain,
% 4.75/4.85 (E(f7(a1,f7(a1,a1)),f7(a1,a1))),
% 4.75/4.85 inference(scs_inference,[],[402,441,107,186,442,148,68,83,33])).
% 4.75/4.85 cnf(466,plain,
% 4.75/4.85 (E(f7(a1,f7(a1,a1)),f3(a1,f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[391,68])).
% 4.75/4.85 cnf(502,plain,
% 4.75/4.85 (E(f7(f7(a1,a1),f7(a1,a1)),f7(f7(f7(a1,a1),a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[153,199,369,107,122,186,128,200,69,84,96,29])).
% 4.75/4.85 cnf(505,plain,
% 4.75/4.85 (P1(f7(f7(f7(a1,a1),a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[153,199,369,107,122,186,128,200,69,84,96,29,68,82])).
% 4.75/4.85 cnf(506,plain,
% 4.75/4.85 (P3(f7(f7(f7(a1,a1),a1),f7(a1,a1)),f7(f7(f7(a1,a1),a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[153,199,369,107,122,186,128,200,69,84,96,29,68,82,36])).
% 4.75/4.85 cnf(509,plain,
% 4.75/4.85 (E(f7(f7(f7(a1,a1),a1),f7(a1,a1)),f7(f7(a1,a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[502,68])).
% 4.75/4.85 cnf(511,plain,
% 4.75/4.85 (P3(f7(f7(a1,a1),f7(a1,a1)),f7(f7(f7(a1,a1),a1),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[506,122,421,502,68,69,83])).
% 4.75/4.85 cnf(517,plain,
% 4.75/4.85 (P3(f7(f7(f7(a1,a1),a1),f7(a1,a1)),f7(a1,a1))),
% 4.75/4.85 inference(scs_inference,[],[256,407,431,506,107,122,128,236,421,502,505,68,69,83,84,96,29,34])).
% 4.75/4.85 cnf(519,plain,
% 4.75/4.85 (P1(f7(f7(f7(a1,a1),f7(a1,a1)),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[256,407,431,506,107,122,128,236,421,502,505,68,69,83,84,96,29,34,82])).
% 4.75/4.85 cnf(544,plain,
% 4.75/4.85 (E(f7(f7(f7(a1,a1),a1),x5441),f7(a1,x5441))),
% 4.75/4.85 inference(scs_inference,[],[519,286,217,9,10,13,14,15,16,70,71,72,74,75,76])).
% 4.75/4.85 cnf(551,plain,
% 4.75/4.85 (~E(f3(a10,a11),a10)),
% 4.75/4.85 inference(scs_inference,[],[376,519,286,217,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68])).
% 4.75/4.85 cnf(552,plain,
% 4.75/4.85 (P1(f3(f3(a8,f7(a8,a8)),f3(a8,f7(a8,a8))))),
% 4.75/4.85 inference(scs_inference,[],[376,519,286,217,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5])).
% 4.75/4.85 cnf(554,plain,
% 4.75/4.85 (P1(f4(f3(a8,f7(a8,a8)),f3(a8,f7(a8,a8))))),
% 4.75/4.85 inference(scs_inference,[],[376,519,286,217,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6])).
% 4.75/4.85 cnf(558,plain,
% 4.75/4.85 (P1(f5(f7(f7(f7(a1,a1),a1),f7(a1,a1)),f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[66,376,434,517,519,286,296,505,217,220,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,83,28])).
% 4.75/4.85 cnf(560,plain,
% 4.75/4.85 (P1(f6(f3(a9,f7(a9,a9)),a10))),
% 4.75/4.85 inference(scs_inference,[],[66,376,434,517,519,286,296,329,505,217,323,220,59,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,83,28,52])).
% 4.75/4.85 cnf(562,plain,
% 4.75/4.85 (E(f3(a9,f5(a9,a9)),a9)),
% 4.75/4.85 inference(scs_inference,[],[66,376,434,517,519,286,296,329,505,217,270,323,220,60,59,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,83,28,52,27])).
% 4.75/4.85 cnf(564,plain,
% 4.75/4.85 (E(f4(a9,f6(a9,a10)),a10)),
% 4.75/4.85 inference(scs_inference,[],[66,376,434,517,519,286,296,329,505,217,270,323,220,62,60,59,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,83,28,52,27,51])).
% 4.75/4.85 cnf(578,plain,
% 4.75/4.85 (~P1(f3(a10,a11))),
% 4.75/4.85 inference(scs_inference,[],[66,376,434,517,519,262,399,286,405,298,296,329,505,217,270,323,220,218,62,4,58,60,59,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,83,28,52,27,51,8,12,17,18,96,36,93])).
% 4.75/4.85 cnf(586,plain,
% 4.75/4.85 (P2(f3(a9,f7(a9,a9)),f3(a10,a10))),
% 4.75/4.85 inference(scs_inference,[],[66,376,434,517,519,509,262,399,286,405,298,296,329,505,392,217,270,253,323,220,218,62,4,58,60,59,120,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,83,28,52,27,51,8,12,17,18,96,36,93,30,31,94,57])).
% 4.75/4.85 cnf(600,plain,
% 4.75/4.85 (E(f3(f3(a11,f7(a11,a11)),a1),f3(a11,f7(a11,a11)))),
% 4.75/4.85 inference(scs_inference,[],[279,9,10])).
% 4.75/4.85 cnf(602,plain,
% 4.75/4.85 (E(f4(a8,f3(a11,f7(a11,a11))),f3(a11,f7(a11,a11)))),
% 4.75/4.85 inference(scs_inference,[],[279,9,10,13])).
% 4.75/4.85 cnf(604,plain,
% 4.75/4.85 (E(f4(f3(a11,f7(a11,a11)),a8),f3(a11,f7(a11,a11)))),
% 4.75/4.85 inference(scs_inference,[],[279,9,10,13,14])).
% 4.75/4.85 cnf(613,plain,
% 4.75/4.85 (E(f4(f3(a9,f5(a9,a9)),x6131),f4(a9,x6131))),
% 4.75/4.85 inference(scs_inference,[],[562,558,279,9,10,13,14,15,16,70,71,72,74])).
% 4.75/4.85 cnf(622,plain,
% 4.75/4.85 (~E(f3(a8,f7(a8,a8)),a1)),
% 4.75/4.85 inference(scs_inference,[],[162,562,558,279,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68])).
% 4.75/4.85 cnf(630,plain,
% 4.75/4.85 (~P3(f4(a9,f6(a9,a10)),f3(a10,a11))),
% 4.75/4.85 inference(scs_inference,[],[66,578,586,162,562,564,558,279,284,318,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,85,69,82,83])).
% 4.75/4.85 cnf(639,plain,
% 4.75/4.85 (E(f3(f4(a11,a11),f4(a11,a11)),f4(f3(a11,a11),a11))),
% 4.75/4.85 inference(scs_inference,[],[66,578,586,162,562,564,558,279,343,180,284,151,318,58,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,85,69,82,83,28,27,8,12,17])).
% 4.75/4.85 cnf(647,plain,
% 4.75/4.85 (P2(f3(a8,f7(a8,a8)),f4(f3(a8,f7(a8,a8)),f3(a8,f7(a8,a8))))),
% 4.75/4.85 inference(scs_inference,[],[66,578,586,162,562,564,558,554,279,251,343,180,284,151,217,318,58,119,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,85,69,82,83,28,27,8,12,17,18,24,95,98])).
% 4.75/4.85 cnf(649,plain,
% 4.75/4.85 (~E(f3(f7(a10,a10),f7(a10,a10)),f3(a11,f7(a10,a10)))),
% 4.75/4.85 inference(scs_inference,[],[66,578,586,162,562,564,558,554,433,279,251,343,180,284,151,218,217,318,58,119,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,85,69,82,83,28,27,8,12,17,18,24,95,98,19])).
% 4.75/4.85 cnf(656,plain,
% 4.75/4.85 (E(f7(f7(f7(a1,a1),a1),x6561),f7(a1,x6561))),
% 4.75/4.85 inference(rename_variables,[],[544])).
% 4.75/4.85 cnf(672,plain,
% 4.75/4.85 (E(f7(a8,a8),f7(f3(a8,f7(a8,a8)),a8))),
% 4.75/4.85 inference(scs_inference,[],[66,578,586,162,562,564,544,656,511,558,342,552,554,433,393,279,251,343,505,180,284,132,151,218,217,318,58,119,4,128,2,107,9,10,13,14,15,16,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,85,69,82,83,28,27,8,12,17,18,24,95,98,19,20,25,30,31,345,265,84,47,96,36,93,94])).
% 4.75/4.85 cnf(694,plain,
% 4.75/4.85 (E(f4(x6941,a11),f4(x6941,f3(a11,f7(a11,a11))))),
% 4.75/4.85 inference(scs_inference,[],[600,276,309,9,10,13,14,15,16,265,70,71,72,74,75])).
% 4.75/4.85 cnf(702,plain,
% 4.75/4.85 (~E(f3(a9,f7(a9,a9)),a1)),
% 4.75/4.85 inference(scs_inference,[],[299,600,276,309,9,10,13,14,15,16,265,70,71,72,74,75,76,77,78,79,80,81,73,68])).
% 4.75/4.85 cnf(711,plain,
% 4.75/4.85 (P3(f7(a1,f7(a1,a1)),f3(a1,f7(a1,a1)))),
% 4.75/4.85 inference(scs_inference,[],[551,630,299,613,423,600,466,276,320,309,578,9,10,13,14,15,16,265,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,82,83,84])).
% 4.75/4.85 cnf(732,plain,
% 4.75/4.85 (E(f7(f7(a8,a8),f7(a8,a8)),f7(f3(f7(a8,a8),f7(f7(a8,a8),f7(a8,a8))),f7(a8,a8)))),
% 4.75/4.85 inference(scs_inference,[],[551,630,299,622,613,423,600,184,466,276,320,216,215,434,309,578,201,323,280,218,151,279,60,217,9,10,13,14,15,16,265,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,69,82,83,84,28,8,12,17,18,23,98,19,25,31,94])).
% 4.75/4.85 cnf(777,plain,
% 4.75/4.85 (~E(f3(a11,f7(a10,a10)),f3(f7(a10,a10),f7(a10,a10)))),
% 4.75/4.85 inference(scs_inference,[],[649,602,453,254,9,10,13,14,15,16,265,70,71,72,74,75,76,77,78,79,80,81,73,68])).
% 4.75/4.85 cnf(799,plain,
% 4.75/4.85 (~E(f3(a8,a1),f3(a8,a8))),
% 4.75/4.85 inference(scs_inference,[],[711,639,649,694,560,602,732,647,453,3,328,254,155,222,578,253,148,178,323,119,4,59,2,9,10,13,14,15,16,265,70,71,72,74,75,76,77,78,79,80,81,73,68,5,6,85,69,82,83,52,28,8,12,17,18,20])).
% 4.75/4.85 cnf(839,plain,
% 4.75/4.85 (~E(f3(a8,a8),f3(a8,a1))),
% 4.75/4.85 inference(scs_inference,[],[799,604,406,236,9,10,13,14,15,16,265,70,71,72,74,75,76,77,78,79,80,81,73,68])).
% 4.75/4.85 cnf(1012,plain,
% 4.75/4.85 ($false),
% 4.75/4.85 inference(scs_inference,[],[105,59,58,562,578,151,702,180,672,839,551,777,68,73,72,161,242,264,127,288,84,83,82,69,5]),
% 4.75/4.85 ['proof']).
% 4.75/4.85 % SZS output end Proof
% 4.75/4.85 % Total time : 27.190000 s
%------------------------------------------------------------------------------