TSTP Solution File: GEO083+1 by CSE_E---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.6
% Problem : GEO083+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Jun 18 07:42:42 EDT 2024
% Result : Theorem 13.61s 13.75s
% Output : CNFRefutation 13.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO083+1 : TPTP v8.2.0. Released v2.4.0.
% 0.09/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n015.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Jun 17 23:24:39 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 13.61/13.75 % Version : CSE_E---1.6
% 13.61/13.75 % Problem : theBenchmark.p
% 13.61/13.75 % Proof found
% 13.61/13.75 % SZS status Theorem for theBenchmark.p
% 13.61/13.75 % SZS output start Proof
% 13.61/13.75 [45]P6(a9,a2,a7)
% 13.61/13.75 [46]P6(a9,a2,a1)
% 13.61/13.75 [47]P1(a1,a7)
% 13.61/13.75 [44]~P1(f17(a2,a1),f17(a2,a7))
% 13.61/13.75 [34]P2(f8(x341),x341)
% 13.61/13.75 [28]P3(x281)+P4(f10(x281),x281)
% 13.61/13.75 [31]~P7(x311)+P4(f16(x311),x311)
% 13.61/13.75 [17]~P4(x171,x172)+P5(x171,x172)
% 13.61/13.75 [19]~P2(x191,x192)+~P4(x191,x192)
% 13.61/13.75 [20]~P2(x201,x202)+P5(x201,x202)
% 13.61/13.75 [29]~P3(x291)+~P4(x292,x291)
% 13.61/13.75 [30]P7(x301)+~P4(x302,x301)
% 13.61/13.75 [1]P1(x11,x12)+~P5(f11(x12,x11),x12)
% 13.61/13.75 [2]P1(x21,x22)+P5(f11(x22,x21),x21)
% 13.61/13.75 [36]~P2(x361,x362)+P6(x361,f18(x362,x361),f4(x362,x361))
% 13.61/13.75 [38]~P4(x382,x381)+~E(f3(x381,x382),x382)
% 13.61/13.75 [39]~P4(x392,x391)+P4(f3(x391,x392),x391)
% 13.61/13.75 [35]~P2(x352,x351)+E(f17(f18(x351,x352),f4(x351,x352)),x351)
% 13.61/13.75 [26]P5(x261,x262)+~P6(x261,x263,x262)
% 13.61/13.75 [27]P5(x271,x272)+~P6(x271,x272,x273)
% 13.61/13.75 [41]~P6(x413,x411,x412)+E(f6(x411,x412),f17(x411,x412))
% 13.61/13.75 [18]P2(x181,x182)+~P5(x181,x182)+P4(x181,x182)
% 13.61/13.75 [32]P7(x321)+~P1(x321,x322)+E(x321,x322)
% 13.61/13.75 [10]~P5(x101,x102)+P4(x101,x102)+~P1(f14(x101,x102),f12(x101,x102))
% 13.61/13.75 [11]~P5(x111,x112)+P4(x111,x112)+~P1(f12(x111,x112),f14(x111,x112))
% 13.61/13.75 [12]~P5(x121,x122)+P4(x121,x122)+P5(x121,f14(x121,x122))
% 13.61/13.75 [13]~P5(x131,x132)+P4(x131,x132)+P5(x131,f12(x131,x132))
% 13.61/13.75 [14]~P5(x141,x142)+P4(x141,x142)+P1(f14(x141,x142),x142)
% 13.61/13.75 [15]~P5(x151,x152)+P4(x151,x152)+P1(f12(x151,x152),x152)
% 13.61/13.75 [42]E(x421,x422)+P5(f5(x421,x422),x422)+P5(f5(x421,x422),x421)
% 13.61/13.75 [43]E(x431,x432)+~P5(f5(x431,x432),x432)+~P5(f5(x431,x432),x431)
% 13.61/13.75 [3]~P5(x31,x33)+P5(x31,x32)+~P1(x33,x32)
% 13.61/13.75 [5]~P5(f13(x51,x52,x53),x53)+~P5(f13(x51,x52,x53),x51)+E(x51,f17(x52,x53))
% 13.61/13.75 [6]~P5(f13(x61,x62,x63),x62)+~P5(f13(x61,x62,x63),x61)+E(x61,f17(x62,x63))
% 13.61/13.75 [7]~P5(x71,x74)+P5(x71,x72)+~E(x72,f17(x73,x74))
% 13.61/13.75 [8]~P5(x81,x83)+P5(x81,x82)+~E(x82,f17(x83,x84))
% 13.61/13.75 [4]P5(f13(x41,x42,x43),x43)+P5(f13(x41,x42,x43),x42)+P5(f13(x41,x42,x43),x41)+E(x41,f17(x42,x43))
% 13.61/13.75 [22]~P5(x221,x223)+~P5(x221,x222)+P6(x221,x222,x223)+P5(f15(x221,x222,x223),x223)
% 13.61/13.75 [23]~P5(x231,x233)+~P5(x231,x232)+P6(x231,x232,x233)+P5(f15(x231,x232,x233),x232)
% 13.61/13.75 [24]~P5(x241,x242)+P4(x241,x242)+~P6(x244,x243,x242)+~P5(x241,x243)
% 13.61/13.75 [25]~P5(x251,x252)+P4(x251,x252)+~P6(x254,x252,x253)+~P5(x251,x253)
% 13.61/13.75 [9]~P5(x91,x94)+P5(x91,x92)+P5(x91,x93)+~E(x94,f17(x93,x92))
% 13.61/13.75 [21]~P5(x211,x213)+~P5(x211,x212)+P6(x211,x212,x213)+~P4(f15(x211,x212,x213),x213)+~P4(f15(x211,x212,x213),x212)
% 13.61/13.75 [40]~P3(x404)+~P4(x401,x402)+P6(x401,x402,x403)+~P6(x405,x402,x403)+~E(x404,f17(x402,x403))
% 13.61/13.75 [37]E(x373,x371)+~P4(x371,x374)+~P4(x373,x374)+E(x371,x372)+E(x373,x372)+~P4(x372,x374)
% 13.61/13.75 [16]P1(x162,x161)+~P1(x162,x163)+~P5(x164,x162)+~P4(x164,x163)+P1(x161,x162)+~P1(x161,x163)+~P5(x164,x161)
% 13.61/13.75 [33]P1(x332,x331)+P1(x332,x333)+P1(x333,x331)+P1(x333,x332)+~P1(x332,x334)+~P1(x333,x334)+~P4(x335,x332)+~P4(x335,x333)+P1(x331,x332)+P1(x331,x333)+~P1(x331,x334)+~P4(x335,x331)
% 13.61/13.75 [48]E(x481,x481)
% 13.61/13.75 [49]E(x492,x491)+~E(x491,x492)
% 13.61/13.75 [50]E(x501,x503)+~E(x501,x502)+~E(x502,x503)
% 13.61/13.75 [51]~E(x511,x512)+E(f8(x511),f8(x512))
% 13.61/13.75 [52]~E(x521,x522)+E(f17(x521,x523),f17(x522,x523))
% 13.61/13.75 [53]~E(x531,x532)+E(f17(x533,x531),f17(x533,x532))
% 13.61/13.75 [54]~E(x541,x542)+E(f15(x541,x543,x544),f15(x542,x543,x544))
% 13.61/13.75 [55]~E(x551,x552)+E(f15(x553,x551,x554),f15(x553,x552,x554))
% 13.61/13.75 [56]~E(x561,x562)+E(f15(x563,x564,x561),f15(x563,x564,x562))
% 13.61/13.75 [57]~E(x571,x572)+E(f10(x571),f10(x572))
% 13.61/13.75 [58]~E(x581,x582)+E(f16(x581),f16(x582))
% 13.61/13.75 [59]~E(x591,x592)+E(f3(x591,x593),f3(x592,x593))
% 13.61/13.75 [60]~E(x601,x602)+E(f3(x603,x601),f3(x603,x602))
% 13.61/13.75 [61]~E(x611,x612)+E(f11(x611,x613),f11(x612,x613))
% 13.61/13.75 [62]~E(x621,x622)+E(f11(x623,x621),f11(x623,x622))
% 13.61/13.75 [63]~E(x631,x632)+E(f13(x631,x633,x634),f13(x632,x633,x634))
% 13.61/13.75 [64]~E(x641,x642)+E(f13(x643,x641,x644),f13(x643,x642,x644))
% 13.61/13.75 [65]~E(x651,x652)+E(f13(x653,x654,x651),f13(x653,x654,x652))
% 13.61/13.75 [66]~E(x661,x662)+E(f12(x661,x663),f12(x662,x663))
% 13.61/13.75 [67]~E(x671,x672)+E(f12(x673,x671),f12(x673,x672))
% 13.61/13.75 [68]~E(x681,x682)+E(f14(x681,x683),f14(x682,x683))
% 13.61/13.75 [69]~E(x691,x692)+E(f14(x693,x691),f14(x693,x692))
% 13.61/13.75 [70]~E(x701,x702)+E(f6(x701,x703),f6(x702,x703))
% 13.61/13.75 [71]~E(x711,x712)+E(f6(x713,x711),f6(x713,x712))
% 13.61/13.75 [72]~E(x721,x722)+E(f5(x721,x723),f5(x722,x723))
% 13.61/13.75 [73]~E(x731,x732)+E(f5(x733,x731),f5(x733,x732))
% 13.61/13.75 [74]~E(x741,x742)+E(f4(x741,x743),f4(x742,x743))
% 13.61/13.75 [75]~E(x751,x752)+E(f4(x753,x751),f4(x753,x752))
% 13.61/13.75 [76]~E(x761,x762)+E(f18(x761,x763),f18(x762,x763))
% 13.61/13.75 [77]~E(x771,x772)+E(f18(x773,x771),f18(x773,x772))
% 13.61/13.75 [78]P1(x782,x783)+~E(x781,x782)+~P1(x781,x783)
% 13.61/13.75 [79]P1(x793,x792)+~E(x791,x792)+~P1(x793,x791)
% 13.61/13.75 [80]P2(x802,x803)+~E(x801,x802)+~P2(x801,x803)
% 13.61/13.75 [81]P2(x813,x812)+~E(x811,x812)+~P2(x813,x811)
% 13.61/13.75 [82]P6(x822,x823,x824)+~E(x821,x822)+~P6(x821,x823,x824)
% 13.61/13.75 [83]P6(x833,x832,x834)+~E(x831,x832)+~P6(x833,x831,x834)
% 13.61/13.75 [84]P6(x843,x844,x842)+~E(x841,x842)+~P6(x843,x844,x841)
% 13.61/13.75 [85]P5(x852,x853)+~E(x851,x852)+~P5(x851,x853)
% 13.61/13.75 [86]P5(x863,x862)+~E(x861,x862)+~P5(x863,x861)
% 13.61/13.75 [87]P4(x872,x873)+~E(x871,x872)+~P4(x871,x873)
% 13.61/13.75 [88]P4(x883,x882)+~E(x881,x882)+~P4(x883,x881)
% 13.61/13.75 [89]~P3(x891)+P3(x892)+~E(x891,x892)
% 13.61/13.75 [90]~P7(x901)+P7(x902)+~E(x901,x902)
% 13.61/13.75 cnf(91,plain,
% 13.61/13.75 (~P5(x911,x912)+P5(x911,f17(x913,x912))),
% 13.61/13.75 inference(equality_inference,[],[7])).
% 13.61/13.75 cnf(92,plain,
% 13.61/13.75 (~P5(x921,x922)+P5(x921,f17(x922,x923))),
% 13.61/13.75 inference(equality_inference,[],[8])).
% 13.61/13.75 cnf(93,plain,
% 13.61/13.75 (~P5(x931,f17(x932,x933))+P5(x931,x933)+P5(x931,x932)),
% 13.61/13.75 inference(equality_inference,[],[9])).
% 13.61/13.75 cnf(95,plain,
% 13.61/13.75 (~P5(x951,a1)+P5(x951,a7)),
% 13.61/13.75 inference(scs_inference,[],[47,3])).
% 13.61/13.75 cnf(97,plain,
% 13.61/13.75 (~P5(x971,f17(a1,a1))+P5(x971,a7)),
% 13.61/13.75 inference(scs_inference,[],[47,3,93])).
% 13.61/13.75 cnf(4546,plain,
% 13.61/13.75 (~P4(f8(x45461),x45461)),
% 13.61/13.75 inference(scs_inference,[],[34,19])).
% 13.61/13.75 cnf(4548,plain,
% 13.61/13.75 (~P5(f11(f17(a2,a7),f17(a2,a1)),f17(a2,a7))),
% 13.61/13.75 inference(scs_inference,[],[44,34,19,1])).
% 13.61/13.75 cnf(4550,plain,
% 13.61/13.75 (P6(f8(x45501),f18(x45501,f8(x45501)),f4(x45501,f8(x45501)))),
% 13.61/13.75 inference(scs_inference,[],[44,34,19,1,36])).
% 13.61/13.75 cnf(4560,plain,
% 13.61/13.75 (P5(f8(x45601),x45601)),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,19,1,36,41,54,55,56,63,64,65,20])).
% 13.61/13.75 cnf(4566,plain,
% 13.61/13.75 (P5(f11(f17(a2,a7),f17(a2,a1)),f17(a2,a1))),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,19,1,36,41,54,55,56,63,64,65,20,26,27,2])).
% 13.61/13.75 cnf(4568,plain,
% 13.61/13.75 (~P5(f11(f17(a2,a7),f17(a2,a1)),a7)),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,19,1,36,41,54,55,56,63,64,65,20,26,27,2,91])).
% 13.61/13.75 cnf(4570,plain,
% 13.61/13.75 (~P5(f11(f17(a2,a7),f17(a2,a1)),a2)),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,19,1,36,41,54,55,56,63,64,65,20,26,27,2,91,92])).
% 13.61/13.75 cnf(4586,plain,
% 13.61/13.75 (~E(f17(a2,a1),f17(a2,a7))),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,47,19,1,36,41,54,55,56,63,64,65,20,26,27,2,91,92,88,7,8,14,15,3,93,85,86])).
% 13.61/13.75 cnf(4587,plain,
% 13.61/13.75 (~P1(f6(a2,a1),f17(a2,a7))),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,47,19,1,36,41,54,55,56,63,64,65,20,26,27,2,91,92,88,7,8,14,15,3,93,85,86,78])).
% 13.61/13.75 cnf(4592,plain,
% 13.61/13.75 (P5(f15(f8(f17(a2,a1)),f17(a2,a1),f17(a2,a1)),f17(a2,a1))),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,47,19,1,36,41,54,55,56,63,64,65,20,26,27,2,91,92,88,7,8,14,15,3,93,85,86,78,24,9,22])).
% 13.61/13.75 cnf(4622,plain,
% 13.61/13.75 (~P4(f15(f8(f17(a2,a1)),f17(a2,a1),f17(a2,a1)),f17(a2,a1))),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,47,19,1,36,41,54,55,56,63,64,65,20,26,27,2,91,92,88,7,8,14,15,3,93,85,86,78,24,9,22,49,51,57,58,52,53,59,60,61,62,66,67,68,69,70,71,72,73,74,75,76,77,50,87,84,83,25,21])).
% 13.61/13.75 cnf(4634,plain,
% 13.61/13.75 (P4(f3(a2,a9),a2)),
% 13.61/13.75 inference(scs_inference,[],[44,34,46,47,19,1,36,41,54,55,56,63,64,65,20,26,27,2,91,92,88,7,8,14,15,3,93,85,86,78,24,9,22,49,51,57,58,52,53,59,60,61,62,66,67,68,69,70,71,72,73,74,75,76,77,50,87,84,83,25,21,29,30,28,31,38,39])).
% 13.61/13.75 cnf(4642,plain,
% 13.61/13.75 (P5(f8(x46421),x46421)),
% 13.61/13.75 inference(rename_variables,[],[4560])).
% 13.61/13.75 cnf(4645,plain,
% 13.61/13.75 (P5(f8(x46451),x46451)),
% 13.61/13.75 inference(rename_variables,[],[4560])).
% 13.61/13.75 cnf(4696,plain,
% 13.61/13.75 (~P4(f8(x46961),x46961)),
% 13.61/13.75 inference(rename_variables,[],[4546])).
% 13.61/13.75 cnf(4699,plain,
% 13.61/13.75 (~P4(f8(x46991),x46991)),
% 13.61/13.75 inference(rename_variables,[],[4546])).
% 13.61/13.75 cnf(4702,plain,
% 13.61/13.75 (~P4(f8(x47021),x47021)),
% 13.61/13.75 inference(rename_variables,[],[4546])).
% 13.61/13.75 cnf(4705,plain,
% 13.61/13.75 (~P4(f8(x47051),x47051)),
% 13.61/13.75 inference(rename_variables,[],[4546])).
% 13.61/13.75 cnf(4710,plain,
% 13.61/13.75 (P5(f8(x47101),x47101)),
% 13.61/13.75 inference(rename_variables,[],[4560])).
% 13.61/13.75 cnf(4723,plain,
% 13.61/13.75 (P5(f11(f17(a2,a7),f17(a2,a1)),a1)),
% 13.61/13.75 inference(scs_inference,[],[4546,4696,4699,4702,4705,4560,4642,4645,4710,4586,4587,4634,4566,4548,4570,4622,4592,4550,45,97,95,1,38,39,41,17,27,2,91,92,26,49,57,58,52,53,59,60,61,62,66,67,68,69,70,71,72,73,74,75,76,77,54,55,56,63,64,65,51,12,13,10,11,7,14,15,18,8,3,88,93])).
% 13.61/13.75 cnf(4769,plain,
% 13.61/13.75 ($false),
% 13.61/13.75 inference(scs_inference,[],[4568,4723,95]),
% 13.61/13.75 ['proof']).
% 13.61/13.75 % SZS output end Proof
% 13.61/13.75 % Total time : 13.110000 s
%------------------------------------------------------------------------------