TSTP Solution File: GEO059-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO059-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 : Wed Aug 30 22:42:42 EDT 2023
% Result : Unsatisfiable 0.54s 0.72s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO059-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:15:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.51/0.71 %-------------------------------------------
% 0.51/0.71 % File :CSE---1.6
% 0.54/0.71 % Problem :theBenchmark
% 0.54/0.71 % Transform :cnf
% 0.54/0.71 % Format :tptp:raw
% 0.54/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.71
% 0.54/0.71 % Result :Theorem 0.100000s
% 0.54/0.71 % Output :CNFRefutation 0.100000s
% 0.54/0.71 %-------------------------------------------
% 0.54/0.72 %--------------------------------------------------------------------------
% 0.54/0.72 % File : GEO059-3 : TPTP v8.1.2. Released v1.0.0.
% 0.54/0.72 % Domain : Geometry
% 0.54/0.72 % Problem : Congruence for double reflection
% 0.54/0.72 % Version : [Qua89] axioms : Augmented.
% 0.54/0.72 % English :
% 0.54/0.72
% 0.54/0.72 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.54/0.72 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.54/0.72 % Source : [Qua89]
% 0.54/0.72 % Names : R5 [Qua89]
% 0.54/0.72
% 0.54/0.72 % Status : Unsatisfiable
% 0.54/0.72 % Rating : 0.05 v8.1.0, 0.11 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.3.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.20 v5.4.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.00 v2.5.0, 0.25 v2.4.0, 0.22 v2.2.1, 0.11 v2.2.0, 0.22 v2.1.0, 0.33 v2.0.0
% 0.54/0.72 % Syntax : Number of clauses : 42 ( 14 unt; 9 nHn; 30 RR)
% 0.54/0.72 % Number of literals : 105 ( 23 equ; 56 neg)
% 0.54/0.72 % Maximal clause size : 8 ( 2 avg)
% 0.54/0.72 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.72 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.54/0.72 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.54/0.72 % Number of variables : 149 ( 6 sgn)
% 0.54/0.72 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.72
% 0.54/0.72 % Comments :
% 0.54/0.72 %--------------------------------------------------------------------------
% 0.54/0.72 %----Include Tarski geometry axioms
% 0.54/0.72 include('Axioms/GEO002-0.ax').
% 0.54/0.72 %----Include definition of reflection
% 0.54/0.72 include('Axioms/GEO002-2.ax').
% 0.54/0.72 %--------------------------------------------------------------------------
% 0.54/0.72 cnf(d1,axiom,
% 0.54/0.72 equidistant(U,V,U,V) ).
% 0.54/0.72
% 0.54/0.72 cnf(d2,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | equidistant(W,X,U,V) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d3,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | equidistant(V,U,W,X) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d4_1,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | equidistant(U,V,X,W) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d4_2,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | equidistant(V,U,X,W) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d4_3,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | equidistant(W,X,V,U) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d4_4,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | equidistant(X,W,U,V) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d4_5,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | equidistant(X,W,V,U) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d5,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,W,X)
% 0.54/0.72 | ~ equidistant(W,X,Y,Z)
% 0.54/0.72 | equidistant(U,V,Y,Z) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(e1,axiom,
% 0.54/0.72 V = extension(U,V,W,W) ).
% 0.54/0.72
% 0.54/0.72 cnf(b0,axiom,
% 0.54/0.72 ( Y != extension(U,V,W,X)
% 0.54/0.72 | between(U,V,Y) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(r2_1,axiom,
% 0.54/0.72 between(U,V,reflection(U,V)) ).
% 0.54/0.72
% 0.54/0.72 cnf(r2_2,axiom,
% 0.54/0.72 equidistant(V,reflection(U,V),U,V) ).
% 0.54/0.72
% 0.54/0.72 cnf(r3_1,axiom,
% 0.54/0.72 ( U != V
% 0.54/0.72 | V = reflection(U,V) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(r3_2,axiom,
% 0.54/0.72 U = reflection(U,U) ).
% 0.54/0.72
% 0.54/0.72 cnf(r4,axiom,
% 0.54/0.72 ( V != reflection(U,V)
% 0.54/0.72 | U = V ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d7,axiom,
% 0.54/0.72 equidistant(U,U,V,V) ).
% 0.54/0.72
% 0.54/0.72 cnf(d8,axiom,
% 0.54/0.72 ( ~ equidistant(U,V,U1,V1)
% 0.54/0.72 | ~ equidistant(V,W,V1,W1)
% 0.54/0.72 | ~ between(U,V,W)
% 0.54/0.72 | ~ between(U1,V1,W1)
% 0.54/0.72 | equidistant(U,W,U1,W1) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d9,axiom,
% 0.54/0.72 ( ~ between(U,V,W)
% 0.54/0.72 | ~ between(U,V,X)
% 0.54/0.72 | ~ equidistant(V,W,V,X)
% 0.54/0.72 | U = V
% 0.54/0.72 | W = X ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d10_1,axiom,
% 0.54/0.72 ( ~ between(U,V,W)
% 0.54/0.72 | U = V
% 0.54/0.72 | W = extension(U,V,V,W) ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d10_2,axiom,
% 0.54/0.72 ( ~ equidistant(W,X,Y,Z)
% 0.54/0.72 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.54/0.72 | U = V ) ).
% 0.54/0.72
% 0.54/0.72 cnf(d10_3,axiom,
% 0.54/0.72 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.54/0.72 | U = V ) ).
% 0.54/0.72
% 0.54/0.72 cnf(prove_congruence,negated_conjecture,
% 0.54/0.72 ~ equidistant(v,u,v,reflection(reflection(u,v),v)) ).
% 0.54/0.72
% 0.54/0.72 %--------------------------------------------------------------------------
% 0.54/0.72 %-------------------------------------------
% 0.54/0.72 % Proof found
% 0.54/0.72 % SZS status Theorem for theBenchmark
% 0.54/0.72 % SZS output start Proof
% 0.54/0.72 %ClaNum:76(EqnAxiom:35)
% 0.54/0.72 %VarNum:380(SingletonVarNum:142)
% 0.54/0.72 %MaxLitNum:8
% 0.54/0.72 %MaxfuncDepth:2
% 0.54/0.72 %SharedTerms:11
% 0.54/0.72 %goalClause: 48
% 0.54/0.72 %singleGoalClaCount:1
% 0.54/0.72 [45]~P2(a5,a7,a8)
% 0.54/0.72 [46]~P2(a7,a8,a5)
% 0.54/0.72 [47]~P2(a8,a5,a7)
% 0.54/0.72 [48]~P1(a9,a10,a9,f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9))
% 0.54/0.72 [36]P1(x361,x362,x362,x361)
% 0.54/0.72 [37]P1(x371,x372,x371,x372)
% 0.54/0.72 [38]P1(x381,x381,x382,x382)
% 0.54/0.72 [39]E(f1(x391,x392,x393,x393),x392)
% 0.54/0.72 [41]P2(x411,x412,f1(x411,x412,x413,x414))
% 0.54/0.72 [43]P1(x431,f1(x432,x431,x433,x434),x433,x434)
% 0.54/0.72 [49]~P2(x491,x492,x491)+E(x491,x492)
% 0.54/0.72 [50]~E(x501,x502)+E(f1(x501,x502,x501,x502),x502)
% 0.54/0.72 [53]E(x531,x532)+~E(f1(x532,x531,x532,x531),x531)
% 0.54/0.72 [55]E(x551,x552)+E(f1(x551,x552,x551,x552),f1(x551,x552,x552,x551))
% 0.54/0.72 [52]~P1(x521,x522,x523,x523)+E(x521,x522)
% 0.54/0.72 [57]~P1(x574,x573,x572,x571)+P1(x571,x572,x573,x574)
% 0.54/0.72 [58]~P1(x583,x584,x582,x581)+P1(x581,x582,x583,x584)
% 0.54/0.72 [59]~P1(x594,x593,x591,x592)+P1(x591,x592,x593,x594)
% 0.54/0.72 [60]~P1(x603,x604,x601,x602)+P1(x601,x602,x603,x604)
% 0.54/0.72 [61]~P1(x612,x611,x614,x613)+P1(x611,x612,x613,x614)
% 0.54/0.72 [62]~P1(x622,x621,x623,x624)+P1(x621,x622,x623,x624)
% 0.54/0.72 [63]~P1(x631,x632,x634,x633)+P1(x631,x632,x633,x634)
% 0.54/0.72 [54]P2(x541,x542,x543)+~E(x543,f1(x541,x542,x544,x545))
% 0.54/0.72 [51]~P2(x511,x512,x513)+E(x511,x512)+E(f1(x511,x512,x512,x513),x513)
% 0.54/0.72 [70]~P2(x705,x701,x704)+~P2(x702,x703,x704)+P2(x701,f6(x702,x703,x704,x701,x705),x702)
% 0.54/0.72 [71]~P2(x715,x714,x713)+~P2(x712,x711,x713)+P2(x711,f6(x712,x711,x713,x714,x715),x715)
% 0.54/0.72 [65]~P1(x655,x656,x651,x652)+P1(x651,x652,x653,x654)+~P1(x655,x656,x653,x654)
% 0.54/0.72 [66]~P1(x661,x662,x665,x666)+P1(x661,x662,x663,x664)+~P1(x665,x666,x663,x664)
% 0.54/0.72 [64]~P1(x643,x644,x645,x646)+E(x641,x642)+E(f1(x641,x642,x643,x644),f1(x641,x642,x645,x646))
% 0.54/0.72 [72]~P2(x724,x722,x723)+~P2(x721,x722,x725)+E(x721,x722)+P2(x721,x723,f2(x721,x724,x722,x723,x725))
% 0.54/0.72 [73]~P2(x733,x732,x734)+~P2(x731,x732,x735)+E(x731,x732)+P2(x731,x733,f3(x731,x733,x732,x734,x735))
% 0.54/0.72 [74]~P2(x743,x742,x744)+~P2(x741,x742,x745)+E(x741,x742)+P2(f3(x741,x743,x742,x744,x745),x745,f2(x741,x743,x742,x744,x745))
% 0.54/0.72 [56]~P2(x563,x564,x562)+~P2(x563,x564,x561)+~P1(x564,x561,x564,x562)+E(x561,x562)+E(x563,x564)
% 0.54/0.72 [67]~P1(x676,x672,x675,x674)+~P1(x671,x676,x673,x675)+P1(x671,x672,x673,x674)+~P2(x673,x675,x674)+~P2(x671,x676,x672)
% 0.54/0.72 [75]~P2(x753,x754,x755)+~P2(x752,x753,x755)+~P1(x752,x755,x752,x756)+~P1(x752,x753,x752,x751)+P2(x751,f4(x752,x753,x751,x754,x755,x756),x756)
% 0.54/0.72 [76]~P2(x763,x762,x765)+~P2(x761,x763,x765)+~P1(x761,x765,x761,x766)+~P1(x761,x763,x761,x764)+P1(x761,x762,x761,f4(x761,x763,x764,x762,x765,x766))
% 0.54/0.72 [68]P2(x685,x683,x684)+P2(x684,x685,x683)+~P1(x683,x681,x683,x682)+~P1(x685,x681,x685,x682)+~P1(x684,x681,x684,x682)+E(x681,x682)+P2(x683,x684,x685)
% 0.54/0.72 [69]~P2(x691,x692,x693)+~P1(x692,x694,x698,x696)+~P1(x692,x693,x698,x695)+~P1(x691,x694,x697,x696)+~P1(x691,x692,x697,x698)+E(x691,x692)+P1(x693,x694,x695,x696)+~P2(x697,x698,x695)
% 0.54/0.72 %EqnAxiom
% 0.54/0.72 [1]E(x11,x11)
% 0.54/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.72 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.54/0.72 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.54/0.73 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.54/0.73 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.54/0.73 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.54/0.73 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.54/0.73 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.54/0.73 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.54/0.73 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.54/0.73 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.54/0.73 [14]~E(x141,x142)+E(f6(x141,x143,x144,x145,x146),f6(x142,x143,x144,x145,x146))
% 0.54/0.73 [15]~E(x151,x152)+E(f6(x153,x151,x154,x155,x156),f6(x153,x152,x154,x155,x156))
% 0.54/0.73 [16]~E(x161,x162)+E(f6(x163,x164,x161,x165,x166),f6(x163,x164,x162,x165,x166))
% 0.54/0.73 [17]~E(x171,x172)+E(f6(x173,x174,x175,x171,x176),f6(x173,x174,x175,x172,x176))
% 0.54/0.73 [18]~E(x181,x182)+E(f6(x183,x184,x185,x186,x181),f6(x183,x184,x185,x186,x182))
% 0.54/0.73 [19]~E(x191,x192)+E(f2(x191,x193,x194,x195,x196),f2(x192,x193,x194,x195,x196))
% 0.54/0.73 [20]~E(x201,x202)+E(f2(x203,x201,x204,x205,x206),f2(x203,x202,x204,x205,x206))
% 0.54/0.73 [21]~E(x211,x212)+E(f2(x213,x214,x211,x215,x216),f2(x213,x214,x212,x215,x216))
% 0.54/0.73 [22]~E(x221,x222)+E(f2(x223,x224,x225,x221,x226),f2(x223,x224,x225,x222,x226))
% 0.54/0.73 [23]~E(x231,x232)+E(f2(x233,x234,x235,x236,x231),f2(x233,x234,x235,x236,x232))
% 0.54/0.73 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 0.54/0.73 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 0.54/0.73 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 0.54/0.73 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 0.54/0.73 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 0.54/0.73 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.54/0.73 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.54/0.73 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.54/0.73 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.54/0.73 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.54/0.73 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.54/0.73 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.54/0.73
% 0.54/0.73 %-------------------------------------------
% 0.54/0.73 cnf(78,plain,
% 0.54/0.73 (~P1(a9,a10,f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),a9)),
% 0.54/0.73 inference(scs_inference,[],[48,39,2,63])).
% 0.54/0.73 cnf(84,plain,
% 0.54/0.73 (~P1(a9,f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),a9,a10)),
% 0.54/0.73 inference(scs_inference,[],[48,39,2,63,62,61,60])).
% 0.54/0.73 cnf(92,plain,
% 0.54/0.73 (P2(x921,x922,f1(x923,f1(x921,x922,x924,x925),x926,x926))),
% 0.54/0.73 inference(scs_inference,[],[48,39,2,63,62,61,60,59,58,57,54])).
% 0.54/0.73 cnf(93,plain,
% 0.54/0.73 (E(f1(x931,x932,x933,x933),x932)),
% 0.54/0.73 inference(rename_variables,[],[39])).
% 0.54/0.73 cnf(96,plain,
% 0.54/0.73 (P2(x961,x962,f1(x961,x962,x963,x964))),
% 0.54/0.73 inference(rename_variables,[],[41])).
% 0.54/0.73 cnf(98,plain,
% 0.54/0.73 (P2(x981,x982,f1(x981,x982,x983,x984))),
% 0.54/0.73 inference(rename_variables,[],[41])).
% 0.54/0.73 cnf(100,plain,
% 0.54/0.73 (P2(x1001,x1002,f1(x1001,x1002,x1003,x1004))),
% 0.54/0.73 inference(rename_variables,[],[41])).
% 0.54/0.73 cnf(102,plain,
% 0.54/0.73 (P1(x1021,x1022,x1022,x1021)),
% 0.54/0.73 inference(rename_variables,[],[36])).
% 0.54/0.73 cnf(104,plain,
% 0.54/0.73 (P1(x1041,x1041,x1042,x1042)),
% 0.54/0.73 inference(rename_variables,[],[38])).
% 0.54/0.73 cnf(106,plain,
% 0.54/0.73 (P1(x1061,x1062,x1062,x1061)),
% 0.54/0.73 inference(rename_variables,[],[36])).
% 0.54/0.73 cnf(107,plain,
% 0.54/0.73 (P1(x1071,f1(x1072,x1071,x1073,x1073),x1074,x1074)),
% 0.54/0.73 inference(scs_inference,[],[48,36,102,38,104,45,41,96,98,39,93,2,63,62,61,60,59,58,57,54,35,34,33,32,31,30,29])).
% 0.54/0.73 cnf(109,plain,
% 0.54/0.73 (~E(f1(a5,a7,x1091,x1092),f1(x1093,a8,x1094,x1094))),
% 0.54/0.73 inference(scs_inference,[],[48,36,102,38,104,45,41,96,98,39,93,2,63,62,61,60,59,58,57,54,35,34,33,32,31,30,29,3])).
% 0.54/0.73 cnf(110,plain,
% 0.54/0.73 (E(f1(x1101,x1102,x1103,x1103),x1102)),
% 0.54/0.73 inference(rename_variables,[],[39])).
% 0.54/0.73 cnf(113,plain,
% 0.54/0.73 (P1(x1131,x1132,x1132,x1131)),
% 0.54/0.73 inference(rename_variables,[],[36])).
% 0.54/0.73 cnf(143,plain,
% 0.54/0.73 (~E(f1(a8,f1(a5,a7,x1431,x1432),a8,f1(a5,a7,x1431,x1432)),f1(a5,a7,x1431,x1432))),
% 0.54/0.73 inference(scs_inference,[],[48,36,102,106,113,38,104,45,43,41,96,98,39,93,110,2,63,62,61,60,59,58,57,54,35,34,33,32,31,30,29,3,66,65,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,53])).
% 0.54/0.73 cnf(149,plain,
% 0.54/0.73 (P2(x1491,f6(x1492,x1491,f1(x1492,x1491,x1493,x1494),x1491,x1492),x1492)),
% 0.54/0.73 inference(scs_inference,[],[48,36,102,106,113,38,104,45,43,41,96,98,100,39,93,110,2,63,62,61,60,59,58,57,54,35,34,33,32,31,30,29,3,66,65,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,53,50,55,71])).
% 0.54/0.73 cnf(193,plain,
% 0.54/0.73 (P2(x1931,x1932,f1(x1931,x1932,x1933,x1934))),
% 0.54/0.73 inference(rename_variables,[],[41])).
% 0.54/0.73 cnf(200,plain,
% 0.54/0.73 (P1(f1(x2001,x2002,x2003,x2004),x2002,x2004,x2003)),
% 0.54/0.73 inference(scs_inference,[],[36,43,41,107,92,143,109,62,59,57,50,71,64,2,63,61])).
% 0.54/0.73 cnf(212,plain,
% 0.54/0.73 (E(f1(x2121,x2122,x2123,x2123),x2122)),
% 0.54/0.73 inference(rename_variables,[],[39])).
% 0.54/0.73 cnf(214,plain,
% 0.54/0.73 (E(f1(x2141,x2142,x2143,x2143),x2142)),
% 0.54/0.73 inference(rename_variables,[],[39])).
% 0.54/0.73 cnf(223,plain,
% 0.54/0.73 (~P1(f1(a10,a9,a10,a9),a9,a9,a10)),
% 0.54/0.73 inference(scs_inference,[],[36,37,46,43,41,193,39,212,214,149,107,92,78,143,109,84,62,59,57,50,71,64,2,63,61,60,58,49,54,34,33,32,76,66])).
% 0.54/0.73 cnf(277,plain,
% 0.54/0.73 ($false),
% 0.54/0.73 inference(scs_inference,[],[200,223]),
% 0.54/0.73 ['proof']).
% 0.54/0.73 % SZS output end Proof
% 0.54/0.73 % Total time :0.100000s
%------------------------------------------------------------------------------