TSTP Solution File: SYN648-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN648-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 01:46:46 EDT 2023
% Result : Unsatisfiable 121.41s 121.46s
% Output : CNFRefutation 121.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN648-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 21:15:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 121.41/121.44 %-------------------------------------------
% 121.41/121.44 % File :CSE---1.6
% 121.41/121.44 % Problem :theBenchmark
% 121.41/121.44 % Transform :cnf
% 121.41/121.44 % Format :tptp:raw
% 121.41/121.44 % Command :java -jar mcs_scs.jar %d %s
% 121.41/121.44
% 121.41/121.44 % Result :Theorem 120.820000s
% 121.41/121.44 % Output :CNFRefutation 120.820000s
% 121.41/121.44 %-------------------------------------------
% 121.41/121.45 %--------------------------------------------------------------------------
% 121.41/121.45 % File : SYN648-1 : TPTP v8.1.2. Released v2.5.0.
% 121.41/121.45 % Domain : Syntactic
% 121.41/121.45 % Problem : Harrison problem 4401
% 121.41/121.45 % Version : Especial.
% 121.41/121.45 % English :
% 121.41/121.45
% 121.41/121.45 % Refs : [Har01] Email to G. Sutcliffe
% 121.41/121.45 % Source : [Har01]
% 121.41/121.45 % Names :
% 121.41/121.45
% 121.41/121.45 % Status : Unsatisfiable
% 121.41/121.45 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.00 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.2.0, 0.00 v3.1.0, 0.17 v2.7.0, 0.12 v2.6.0, 0.00 v2.5.0
% 121.41/121.45 % Syntax : Number of clauses : 44 ( 16 unt; 1 nHn; 31 RR)
% 121.41/121.45 % Number of literals : 107 ( 0 equ; 63 neg)
% 121.41/121.45 % Maximal clause size : 6 ( 2 avg)
% 121.41/121.45 % Maximal term depth : 6 ( 1 avg)
% 121.41/121.45 % Number of predicates : 15 ( 15 usr; 0 prp; 2-2 aty)
% 121.41/121.45 % Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% 121.41/121.45 % Number of variables : 110 ( 0 sgn)
% 121.41/121.45 % SPC : CNF_UNS_RFO_NEQ_NHN
% 121.41/121.45
% 121.41/121.45 % Comments :
% 121.41/121.45 %--------------------------------------------------------------------------
% 121.41/121.45 cnf(p10_1,negated_conjecture,
% 121.41/121.45 p10(X0,X0) ).
% 121.41/121.45
% 121.41/121.45 cnf(p8_2,negated_conjecture,
% 121.41/121.45 p8(X86,X86) ).
% 121.41/121.45
% 121.41/121.45 cnf(p7_3,negated_conjecture,
% 121.41/121.45 p7(X79,X79) ).
% 121.41/121.45
% 121.41/121.45 cnf(p5_4,negated_conjecture,
% 121.41/121.45 p5(X76,X76) ).
% 121.41/121.45
% 121.41/121.45 cnf(p3_5,negated_conjecture,
% 121.41/121.45 p3(X65,X65) ).
% 121.41/121.45
% 121.41/121.45 cnf(p25_6,negated_conjecture,
% 121.41/121.45 p25(X58,X58) ).
% 121.41/121.45
% 121.41/121.45 cnf(p22_7,negated_conjecture,
% 121.41/121.45 p22(X45,X45) ).
% 121.41/121.45
% 121.41/121.45 cnf(p20_8,negated_conjecture,
% 121.41/121.45 p20(X38,X38) ).
% 121.41/121.45
% 121.41/121.45 cnf(p2_9,negated_conjecture,
% 121.41/121.45 p2(X31,X31) ).
% 121.41/121.45
% 121.41/121.45 cnf(p18_10,negated_conjecture,
% 121.41/121.45 p18(X24,X24) ).
% 121.41/121.45
% 121.41/121.46 cnf(p16_11,negated_conjecture,
% 121.41/121.46 p16(X17,X17) ).
% 121.41/121.46
% 121.41/121.46 cnf(p14_12,negated_conjecture,
% 121.41/121.46 p14(X14,X14) ).
% 121.41/121.46
% 121.41/121.46 cnf(p12_13,negated_conjecture,
% 121.41/121.46 p12(X7,X7) ).
% 121.41/121.46
% 121.41/121.46 cnf(p2_14,negated_conjecture,
% 121.41/121.46 p2(c27,c30) ).
% 121.41/121.46
% 121.41/121.46 cnf(p26_15,negated_conjecture,
% 121.41/121.46 p26(c31,c30) ).
% 121.41/121.46
% 121.41/121.46 cnf(not_p24_16,negated_conjecture,
% 121.41/121.46 ~ p24(f4(c27,c28),c29) ).
% 121.41/121.46
% 121.41/121.46 cnf(p10_17,negated_conjecture,
% 121.41/121.46 ( p10(X1,X2)
% 121.41/121.46 | ~ p10(X0,X1)
% 121.41/121.46 | ~ p10(X0,X2) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p8_18,negated_conjecture,
% 121.41/121.46 ( p8(X87,X88)
% 121.41/121.46 | ~ p8(X86,X87)
% 121.41/121.46 | ~ p8(X86,X88) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p7_19,negated_conjecture,
% 121.41/121.46 ( p7(X80,X81)
% 121.41/121.46 | ~ p7(X79,X80)
% 121.41/121.46 | ~ p7(X79,X81) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p5_20,negated_conjecture,
% 121.41/121.46 ( p5(X77,X78)
% 121.41/121.46 | ~ p5(X76,X77)
% 121.41/121.46 | ~ p5(X76,X78) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p3_21,negated_conjecture,
% 121.41/121.46 ( p3(X66,X67)
% 121.41/121.46 | ~ p3(X65,X66)
% 121.41/121.46 | ~ p3(X65,X67) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p25_22,negated_conjecture,
% 121.41/121.46 ( p25(X59,X60)
% 121.41/121.46 | ~ p25(X58,X59)
% 121.41/121.46 | ~ p25(X58,X60) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p22_23,negated_conjecture,
% 121.41/121.46 ( p22(X46,X47)
% 121.41/121.46 | ~ p22(X45,X46)
% 121.41/121.46 | ~ p22(X45,X47) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p20_24,negated_conjecture,
% 121.41/121.46 ( p20(X39,X40)
% 121.41/121.46 | ~ p20(X38,X39)
% 121.41/121.46 | ~ p20(X38,X40) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p2_25,negated_conjecture,
% 121.41/121.46 ( p2(X32,X33)
% 121.41/121.46 | ~ p2(X31,X32)
% 121.41/121.46 | ~ p2(X31,X33) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p18_26,negated_conjecture,
% 121.41/121.46 ( p18(X25,X26)
% 121.41/121.46 | ~ p18(X24,X25)
% 121.41/121.46 | ~ p18(X24,X26) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p16_27,negated_conjecture,
% 121.41/121.46 ( p16(X18,X19)
% 121.41/121.46 | ~ p16(X17,X18)
% 121.41/121.46 | ~ p16(X17,X19) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p14_28,negated_conjecture,
% 121.41/121.46 ( p14(X15,X16)
% 121.41/121.46 | ~ p14(X14,X15)
% 121.41/121.46 | ~ p14(X14,X16) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p12_29,negated_conjecture,
% 121.41/121.46 ( p12(X8,X9)
% 121.41/121.46 | ~ p12(X7,X8)
% 121.41/121.46 | ~ p12(X7,X9) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p24_30,negated_conjecture,
% 121.41/121.46 ( p24(f4(c30,X56),X57)
% 121.41/121.46 | ~ p24(f4(f6(c32,c30),X56),X57) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p24_31,negated_conjecture,
% 121.41/121.46 ( p24(X48,X49)
% 121.41/121.46 | ~ p3(X50,X48)
% 121.41/121.46 | ~ p8(X51,X49)
% 121.41/121.46 | ~ p24(X50,X51) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p26_32,negated_conjecture,
% 121.41/121.46 ( p26(X61,X62)
% 121.41/121.46 | ~ p25(X64,X61)
% 121.41/121.46 | ~ p26(X64,X63)
% 121.41/121.46 | ~ p2(X63,X62) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p8_33,negated_conjecture,
% 121.41/121.46 ( p8(f9(X89,X90),f9(X91,X92))
% 121.41/121.46 | ~ p2(X90,X92)
% 121.41/121.46 | ~ p7(X89,X91) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p10_34,negated_conjecture,
% 121.41/121.46 ( p10(f13(X3,X4),f13(X5,X6))
% 121.41/121.46 | ~ p12(X3,X5)
% 121.41/121.46 | ~ p3(X4,X6) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p12_35,negated_conjecture,
% 121.41/121.46 ( p12(f15(X10,X11),f15(X12,X13))
% 121.41/121.46 | ~ p14(X10,X12)
% 121.41/121.46 | ~ p3(X11,X13) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p16_36,negated_conjecture,
% 121.41/121.46 ( p16(f19(X20,X21),f19(X22,X23))
% 121.41/121.46 | ~ p18(X20,X22)
% 121.41/121.46 | ~ p2(X21,X23) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p18_37,negated_conjecture,
% 121.41/121.46 ( p18(f21(X27,X28),f21(X29,X30))
% 121.41/121.46 | ~ p20(X27,X29)
% 121.41/121.46 | ~ p3(X28,X30) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p2_38,negated_conjecture,
% 121.41/121.46 ( p2(f6(X34,X35),f6(X36,X37))
% 121.41/121.46 | ~ p2(X35,X37)
% 121.41/121.46 | ~ p5(X34,X36) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p20_39,negated_conjecture,
% 121.41/121.46 ( p20(f23(X41,X42),f23(X43,X44))
% 121.41/121.46 | ~ p22(X41,X43)
% 121.41/121.46 | ~ p3(X42,X44) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p3_40,negated_conjecture,
% 121.41/121.46 ( p3(f17(X68,X69),f17(X70,X71))
% 121.41/121.46 | ~ p16(X68,X70)
% 121.41/121.46 | ~ p2(X69,X71) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p3_41,negated_conjecture,
% 121.41/121.46 ( p3(f4(X72,X73),f4(X74,X75))
% 121.41/121.46 | ~ p2(X72,X74)
% 121.41/121.46 | ~ p3(X73,X75) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p7_42,negated_conjecture,
% 121.41/121.46 ( p7(f11(X82,X83),f11(X84,X85))
% 121.41/121.46 | ~ p10(X82,X84)
% 121.41/121.46 | ~ p2(X83,X85) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p24_43,negated_conjecture,
% 121.41/121.46 ( p24(X52,c29)
% 121.41/121.46 | ~ p3(X52,X54)
% 121.41/121.46 | ~ p2(X55,X53)
% 121.41/121.46 | ~ p26(c31,X53)
% 121.41/121.46 | ~ p3(X54,f4(X55,c28))
% 121.41/121.46 | ~ p24(f4(X53,f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53)) ) ).
% 121.41/121.46
% 121.41/121.46 cnf(p24_44,negated_conjecture,
% 121.41/121.46 ( p24(X52,c29)
% 121.41/121.46 | p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53))
% 121.41/121.46 | ~ p3(X52,X54)
% 121.41/121.46 | ~ p2(X55,X53)
% 121.41/121.46 | ~ p26(c31,X53)
% 121.41/121.46 | ~ p3(X54,f4(X55,c28)) ) ).
% 121.41/121.46
% 121.41/121.46 %--------------------------------------------------------------------------
% 121.41/121.46 %-------------------------------------------
% 121.41/121.46 % Proof found
% 121.41/121.46 % SZS status Theorem for theBenchmark
% 121.41/121.46 % SZS output start Proof
% 121.41/121.46 %ClaNum:44(EqnAxiom:0)
% 121.41/121.46 %VarNum:238(SingletonVarNum:110)
% 121.41/121.46 %MaxLitNum:6
% 121.41/121.46 %MaxfuncDepth:5
% 121.41/121.46 %SharedTerms:13
% 121.41/121.46 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44
% 121.41/121.46 %singleGoalClaCount:16
% 121.41/121.46 [1]P1(a1,a2)
% 121.41/121.46 [2]P7(a5,a2)
% 121.41/121.46 [16]~P11(f6(a1,a3),a4)
% 121.41/121.46 [3]P2(x31,x31)
% 121.41/121.47 [4]P12(x41,x41)
% 121.41/121.47 [5]P13(x51,x51)
% 121.41/121.47 [6]P14(x61,x61)
% 121.41/121.47 [7]P15(x71,x71)
% 121.41/121.47 [8]P8(x81,x81)
% 121.41/121.47 [9]P9(x91,x91)
% 121.41/121.47 [10]P10(x101,x101)
% 121.41/121.47 [11]P1(x111,x111)
% 121.41/121.47 [12]P3(x121,x121)
% 121.41/121.47 [13]P4(x131,x131)
% 121.41/121.47 [14]P5(x141,x141)
% 121.41/121.47 [15]P6(x151,x151)
% 121.41/121.47 [42]P11(f6(a2,x421),x422)+~P11(f6(f18(a9,a2),x421),x422)
% 121.41/121.47 [17]~P2(x173,x171)+P2(x171,x172)+~P2(x173,x172)
% 121.41/121.47 [18]~P12(x183,x181)+P12(x181,x182)+~P12(x183,x182)
% 121.41/121.47 [19]~P13(x193,x191)+P13(x191,x192)+~P13(x193,x192)
% 121.41/121.47 [20]~P14(x203,x201)+P14(x201,x202)+~P14(x203,x202)
% 121.41/121.47 [21]~P15(x213,x211)+P15(x211,x212)+~P15(x213,x212)
% 121.41/121.47 [22]~P8(x223,x221)+P8(x221,x222)+~P8(x223,x222)
% 121.41/121.47 [23]~P9(x233,x231)+P9(x231,x232)+~P9(x233,x232)
% 121.41/121.47 [24]~P10(x243,x241)+P10(x241,x242)+~P10(x243,x242)
% 121.41/121.47 [25]~P1(x253,x251)+P1(x251,x252)+~P1(x253,x252)
% 121.41/121.47 [26]~P3(x263,x261)+P3(x261,x262)+~P3(x263,x262)
% 121.41/121.47 [27]~P4(x273,x271)+P4(x271,x272)+~P4(x273,x272)
% 121.41/121.47 [28]~P5(x283,x281)+P5(x281,x282)+~P5(x283,x282)
% 121.41/121.47 [29]~P6(x293,x291)+P6(x291,x292)+~P6(x293,x292)
% 121.41/121.47 [32]~P15(x322,x324)+~P6(x321,x323)+P2(f7(x321,x322),f7(x323,x324))
% 121.41/121.47 [33]~P13(x331,x333)+~P1(x332,x334)+P12(f17(x331,x332),f17(x333,x334))
% 121.41/121.47 [34]~P2(x341,x343)+~P1(x342,x344)+P13(f8(x341,x342),f8(x343,x344))
% 121.41/121.47 [35]~P15(x352,x354)+~P1(x351,x353)+P15(f6(x351,x352),f6(x353,x354))
% 121.41/121.47 [36]~P1(x362,x364)+~P4(x361,x363)+P15(f12(x361,x362),f12(x363,x364))
% 121.41/121.47 [37]~P15(x372,x374)+~P9(x371,x373)+P10(f14(x371,x372),f14(x373,x374))
% 121.41/121.47 [38]~P14(x381,x383)+~P1(x382,x384)+P1(f18(x381,x382),f18(x383,x384))
% 121.41/121.47 [39]~P15(x392,x394)+~P10(x391,x393)+P3(f15(x391,x392),f15(x393,x394))
% 121.41/121.47 [40]~P1(x402,x404)+~P3(x401,x403)+P4(f16(x401,x402),f16(x403,x404))
% 121.41/121.47 [41]~P15(x412,x414)+~P5(x411,x413)+P6(f13(x411,x412),f13(x413,x414))
% 121.41/121.47 [30]~P7(x303,x304)+P7(x301,x302)+~P8(x303,x301)+~P1(x304,x302)
% 121.41/121.47 [31]~P11(x314,x313)+P11(x311,x312)+~P12(x313,x312)+~P15(x314,x311)
% 121.41/121.47 [43]~P15(x431,x433)+~P1(x434,x432)+~P7(a5,x432)+P11(x431,a4)+~P15(x433,f6(x434,a3))+P11(f6(f18(a9,x432),f12(f16(f15(f14(a10,x431),x433),x434),x432)),f17(f8(f7(f13(a11,x431),x433),x434),x432))
% 121.41/121.47 [44]~P15(x441,x442)+~P1(x443,x444)+~P7(a5,x444)+P11(x441,a4)+~P15(x442,f6(x443,a3))+~P11(f6(x444,f12(f16(f15(f14(a10,x441),x442),x443),x444)),f17(f8(f7(f13(a11,x441),x442),x443),x444))
% 121.41/121.47 %EqnAxiom
% 121.41/121.47
% 121.41/121.47 %-------------------------------------------
% 121.51/121.49 cnf(45,plain,
% 121.51/121.49 (P1(a2,a1)),
% 121.51/121.49 inference(scs_inference,[],[1,11,25])).
% 121.51/121.49 cnf(47,plain,
% 121.51/121.49 (P4(f16(x471,a1),f16(x471,a2))),
% 121.51/121.49 inference(scs_inference,[],[1,11,12,25,40])).
% 121.51/121.49 cnf(49,plain,
% 121.51/121.49 (P1(f18(x491,a1),f18(x491,a2))),
% 121.51/121.49 inference(scs_inference,[],[1,6,11,12,25,40,38])).
% 121.51/121.49 cnf(51,plain,
% 121.51/121.49 (P15(f12(x511,a1),f12(x511,a2))),
% 121.51/121.49 inference(scs_inference,[],[1,6,11,12,13,25,40,38,36])).
% 121.51/121.49 cnf(53,plain,
% 121.51/121.49 (P15(f6(a1,x531),f6(a2,x531))),
% 121.51/121.49 inference(scs_inference,[],[1,6,7,11,12,13,25,40,38,36,35])).
% 121.51/121.49 cnf(55,plain,
% 121.51/121.49 (P13(f8(x551,a1),f8(x551,a2))),
% 121.51/121.49 inference(scs_inference,[],[1,3,6,7,11,12,13,25,40,38,36,35,34])).
% 121.51/121.49 cnf(57,plain,
% 121.51/121.49 (P12(f17(x571,a1),f17(x571,a2))),
% 121.51/121.49 inference(scs_inference,[],[1,3,5,6,7,11,12,13,25,40,38,36,35,34,33])).
% 121.51/121.49 cnf(59,plain,
% 121.51/121.49 (P2(f7(x591,f12(x592,a1)),f7(x591,f12(x592,a2)))),
% 121.51/121.49 inference(scs_inference,[],[1,3,5,6,7,11,12,13,15,25,40,38,36,35,34,33,32])).
% 121.51/121.49 cnf(63,plain,
% 121.51/121.49 (P7(a5,a1)),
% 121.51/121.49 inference(scs_inference,[],[1,3,4,5,6,7,8,11,12,13,15,2,25,40,38,36,35,34,33,32,31,30])).
% 121.51/121.49 cnf(66,plain,
% 121.51/121.49 (P15(f6(f18(x661,a1),x662),f6(f18(x661,a2),x662))),
% 121.51/121.49 inference(scs_inference,[],[7,49,35])).
% 121.51/121.49 cnf(68,plain,
% 121.51/121.49 (P13(f8(x681,f18(x682,a1)),f8(x681,f18(x682,a2)))),
% 121.51/121.49 inference(scs_inference,[],[3,7,49,35,34])).
% 121.51/121.49 cnf(70,plain,
% 121.51/121.49 (P1(f18(x701,f18(x702,a1)),f18(x701,f18(x702,a2)))),
% 121.51/121.49 inference(scs_inference,[],[3,6,7,49,35,34,38])).
% 121.51/121.49 cnf(72,plain,
% 121.51/121.49 (P15(f12(f16(x721,a1),a1),f12(f16(x721,a2),a2))),
% 121.51/121.49 inference(scs_inference,[],[1,3,6,7,47,49,35,34,38,36])).
% 121.51/121.49 cnf(78,plain,
% 121.51/121.49 (P3(f15(x781,f12(x782,a1)),f15(x781,f12(x782,a2)))),
% 121.51/121.49 inference(scs_inference,[],[1,10,14,3,5,6,7,47,49,51,35,34,38,36,33,41,39])).
% 121.51/121.49 cnf(80,plain,
% 121.51/121.49 (P10(f14(x801,f12(x802,a1)),f14(x801,f12(x802,a2)))),
% 121.51/121.49 inference(scs_inference,[],[1,9,10,14,3,5,6,7,47,49,51,35,34,38,36,33,41,39,37])).
% 121.51/121.49 cnf(83,plain,
% 121.51/121.49 (P15(x831,x831)),
% 121.51/121.49 inference(rename_variables,[],[7])).
% 121.51/121.49 cnf(86,plain,
% 121.51/121.49 (P15(x861,x861)),
% 121.51/121.49 inference(rename_variables,[],[7])).
% 121.51/121.49 cnf(90,plain,
% 121.51/121.49 (P2(f7(f13(x901,f12(x902,a1)),x903),f7(f13(x901,f12(x902,a2)),x903))),
% 121.51/121.49 inference(scs_inference,[],[1,16,9,10,14,3,5,6,7,83,86,47,49,51,35,34,38,36,33,41,39,37,44,43,40,32])).
% 121.51/121.49 cnf(94,plain,
% 121.51/121.49 (P3(f15(f14(x941,f12(x942,a1)),x943),f15(f14(x941,f12(x942,a2)),x943))),
% 121.51/121.49 inference(scs_inference,[],[7,80,39])).
% 121.51/121.49 cnf(97,plain,
% 121.51/121.49 (P2(f7(f13(x971,f12(x972,a2)),x973),f7(f13(x971,f12(x972,a1)),x973))),
% 121.51/121.49 inference(scs_inference,[],[90,3,17])).
% 121.51/121.49 cnf(100,plain,
% 121.51/121.49 (P2(f7(x1001,f6(f18(x1002,a1),x1003)),f7(x1001,f6(f18(x1002,a2),x1003)))),
% 121.51/121.49 inference(scs_inference,[],[15,90,66,3,17,32])).
% 121.51/121.49 cnf(102,plain,
% 121.51/121.49 (P4(f16(x1021,a2),f16(x1021,a1))),
% 121.51/121.49 inference(scs_inference,[],[12,15,45,90,66,3,17,32,40])).
% 121.51/121.49 cnf(110,plain,
% 121.51/121.49 (P15(f12(x1101,a2),f12(x1101,a1))),
% 121.51/121.49 inference(scs_inference,[],[13,11,12,15,45,90,66,68,3,17,32,40,35,34,33,36])).
% 121.51/121.49 cnf(112,plain,
% 121.51/121.49 (P1(f18(x1121,a2),f18(x1121,a1))),
% 121.51/121.49 inference(scs_inference,[],[13,11,12,15,45,6,90,66,68,3,17,32,40,35,34,33,36,38])).
% 121.51/121.49 cnf(114,plain,
% 121.51/121.49 (~P11(f6(f18(a9,a2),f12(f16(f15(f14(a10,f6(a1,a3)),f6(a1,a3)),a1),a2)),f17(f8(f7(f13(a11,f6(a1,a3)),f6(a1,a3)),a1),a2))),
% 121.51/121.49 inference(scs_inference,[],[7,16,2,1,42,44])).
% 121.51/121.49 cnf(115,plain,
% 121.51/121.49 (P13(f8(f7(f13(x1151,f12(x1152,a2)),x1153),x1154),f8(f7(f13(x1151,f12(x1152,a1)),x1153),x1154))),
% 121.51/121.49 inference(scs_inference,[],[11,97,34])).
% 121.51/121.49 cnf(117,plain,
% 121.51/121.49 (P15(f6(a2,x1171),f6(a1,x1171))),
% 121.51/121.49 inference(scs_inference,[],[11,45,7,97,34,35])).
% 121.51/121.49 cnf(121,plain,
% 121.51/121.49 (P15(f12(f16(x1211,a1),x1212),f12(f16(x1211,a2),x1212))),
% 121.51/121.49 inference(scs_inference,[],[47,5,11,45,7,97,34,35,33,36])).
% 121.51/121.49 cnf(140,plain,
% 121.51/121.49 (P6(f13(x1401,f12(f16(x1402,a1),x1403)),f13(x1401,f12(f16(x1402,a2),x1403)))),
% 121.51/121.49 inference(scs_inference,[],[14,16,121,117,4,31,42,41])).
% 121.51/121.49 cnf(142,plain,
% 121.51/121.49 (P10(f14(x1421,f12(f16(x1422,a1),x1423)),f14(x1421,f12(f16(x1422,a2),x1423)))),
% 121.51/121.49 inference(scs_inference,[],[9,14,16,121,117,4,31,42,41,37])).
% 121.51/121.49 cnf(144,plain,
% 121.51/121.49 (P6(f13(x1441,f6(a1,x1442)),f13(x1441,f6(a2,x1442)))),
% 121.51/121.49 inference(scs_inference,[],[53,14,41])).
% 121.51/121.49 cnf(146,plain,
% 121.51/121.49 (P10(f14(x1461,f6(a1,x1462)),f14(x1461,f6(a2,x1462)))),
% 121.51/121.49 inference(scs_inference,[],[53,9,14,41,37])).
% 121.51/121.49 cnf(151,plain,
% 121.51/121.49 (P4(f16(x1511,f18(x1512,a1)),f16(x1511,f18(x1512,a2)))),
% 121.51/121.49 inference(scs_inference,[],[12,49,40])).
% 121.51/121.49 cnf(155,plain,
% 121.51/121.49 (P15(f6(a2,f6(a1,x1551)),f6(a1,f6(a2,x1551)))),
% 121.51/121.49 inference(scs_inference,[],[12,53,45,49,100,40,34,35])).
% 121.51/121.49 cnf(163,plain,
% 121.51/121.49 (P11(f6(f18(a9,a1),f12(f16(f15(f14(a10,f6(a1,a3)),f6(a1,a3)),a1),a1)),f17(f8(f7(f13(a11,f6(a1,a3)),f6(a1,a3)),a1),a1))),
% 121.51/121.49 inference(scs_inference,[],[7,63,16,11,21,43])).
% 121.51/121.49 cnf(179,plain,
% 121.51/121.49 (P2(f7(f13(x1791,f12(f16(x1792,a1),x1793)),x1794),f7(f13(x1791,f12(f16(x1792,a2),x1793)),x1794))),
% 121.51/121.49 inference(scs_inference,[],[7,55,10,53,11,140,59,70,78,151,5,19,34,35,33,36,39,40,32])).
% 121.51/121.49 cnf(182,plain,
% 121.51/121.49 (P3(f15(f14(x1821,f12(f16(x1822,a1),x1823)),x1824),f15(f14(x1821,f12(f16(x1822,a2),x1823)),x1824))),
% 121.51/121.49 inference(scs_inference,[],[7,142,39])).
% 121.51/121.49 cnf(187,plain,
% 121.51/121.49 (P1(f18(x1871,f18(x1872,a2)),f18(x1871,f18(x1872,a1)))),
% 121.51/121.49 inference(scs_inference,[],[7,179,142,112,3,6,39,17,38])).
% 121.51/121.49 cnf(216,plain,
% 121.51/121.49 (P13(f8(f7(x2161,f12(x2162,a1)),f18(x2163,a1)),f8(f7(x2161,f12(x2162,a2)),f18(x2163,a2)))),
% 121.51/121.49 inference(scs_inference,[],[59,49,34])).
% 121.51/121.49 cnf(238,plain,
% 121.51/121.49 (P15(f6(f18(x2381,a2),x2382),f6(f18(x2381,a1),x2382))),
% 121.51/121.49 inference(scs_inference,[],[66,146,10,7,24,21])).
% 121.51/121.49 cnf(247,plain,
% 121.51/121.49 (P15(f6(f18(x2471,a1),x2472),f6(f18(x2471,a2),x2472))),
% 121.51/121.49 inference(rename_variables,[],[66])).
% 121.51/121.49 cnf(251,plain,
% 121.51/121.49 (P1(f18(x2511,f18(x2512,f18(x2513,a2))),f18(x2511,f18(x2512,f18(x2513,a1))))),
% 121.51/121.49 inference(scs_inference,[],[11,66,59,14,16,146,187,3,10,6,9,7,24,21,41,37,44,17,38])).
% 121.51/121.49 cnf(253,plain,
% 121.51/121.49 (P2(f7(f13(x2531,f6(a1,x2532)),f6(f18(x2533,a1),x2534)),f7(f13(x2531,f6(a2,x2532)),f6(f18(x2533,a2),x2534)))),
% 121.51/121.49 inference(scs_inference,[],[11,66,247,59,14,16,144,146,187,3,10,6,9,7,24,21,41,37,44,17,38,32])).
% 121.51/121.49 cnf(267,plain,
% 121.51/121.49 (P10(f14(x2671,f6(f18(x2672,a2),x2673)),f14(x2671,f6(f18(x2672,a1),x2673)))),
% 121.51/121.49 inference(scs_inference,[],[11,13,12,14,51,251,253,238,216,9,40,34,36,35,33,41,37])).
% 121.51/121.49 cnf(287,plain,
% 121.51/121.49 (~P11(f6(f18(x2871,a1),x2872),f17(x2873,a1))+P11(f6(f18(x2871,a2),x2872),f17(x2873,a2))),
% 121.51/121.49 inference(scs_inference,[],[57,66,267,39,31])).
% 121.51/121.49 cnf(291,plain,
% 121.51/121.49 (~P11(f6(f18(a9,a1),x2911),f17(x2912,a1))+P11(f6(a2,x2911),f17(x2912,a2))),
% 121.51/121.49 inference(scs_inference,[],[287,42])).
% 121.51/121.49 cnf(292,plain,
% 121.51/121.49 (P3(f15(f14(x2921,f12(f16(x2922,a2),x2923)),x2924),f15(f14(x2921,f12(f16(x2922,a1),x2923)),x2924))),
% 121.51/121.49 inference(scs_inference,[],[182,12,26])).
% 121.51/121.49 cnf(295,plain,
% 121.51/121.49 (P1(f18(x2951,f18(x2952,f18(x2953,a1))),f18(x2951,f18(x2952,f18(x2953,a2))))),
% 121.51/121.49 inference(scs_inference,[],[70,182,12,6,26,38])).
% 121.51/121.49 cnf(315,plain,
% 121.51/121.49 (P15(f12(f16(x3151,a1),f18(x3152,f18(x3153,a1))),f12(f16(x3151,a2),f18(x3152,f18(x3153,a2))))),
% 121.51/121.49 inference(scs_inference,[],[14,72,68,47,70,59,49,292,9,41,37,40,34,33,35,36])).
% 121.51/121.49 cnf(321,plain,
% 121.51/121.49 (P12(f17(f8(x3211,f18(x3212,a1)),f18(x3213,a1)),f17(f8(x3211,f18(x3212,a2)),f18(x3213,a2)))),
% 121.51/121.49 inference(scs_inference,[],[68,59,49,295,34,33])).
% 121.51/121.49 cnf(402,plain,
% 121.51/121.49 (P15(f6(f18(x4021,a1),f12(x4022,a1)),f6(f18(x4021,a2),f12(x4022,a2)))),
% 121.51/121.49 inference(scs_inference,[],[49,78,51,40,35])).
% 121.51/121.49 cnf(595,plain,
% 121.51/121.49 (P15(f12(f16(x5951,a2),f18(x5952,a2)),f12(f16(x5951,a1),f18(x5952,a1)))),
% 121.51/121.49 inference(scs_inference,[],[115,102,100,110,94,112,1,40,35,34,33,36])).
% 121.51/121.49 cnf(843,plain,
% 121.51/121.49 (P2(f7(f13(x8431,f6(a1,x8432)),f12(f16(x8433,a1),x8434)),f7(f13(x8431,f6(a2,x8432)),f12(f16(x8433,a2),x8434)))),
% 121.51/121.49 inference(scs_inference,[],[144,121,1,35,32])).
% 121.51/121.49 cnf(877,plain,
% 121.51/121.49 (P10(f14(x8771,f6(a2,f6(a1,x8772))),f14(x8771,f6(a1,f6(a2,x8772))))),
% 121.51/121.49 inference(scs_inference,[],[155,251,9,14,35,41,37])).
% 121.51/121.49 cnf(2565,plain,
% 121.51/121.49 (P10(f14(x25651,f12(f16(x25652,a2),f18(x25653,a2))),f14(x25651,f12(f16(x25652,a1),f18(x25653,a1))))),
% 121.51/121.49 inference(scs_inference,[],[595,9,37])).
% 121.51/121.49 cnf(2858,plain,
% 121.51/121.49 (P3(f15(f14(x28581,f6(a2,f6(a1,x28582))),f6(a1,x28583)),f15(f14(x28581,f6(a1,f6(a2,x28582))),f6(a2,x28583)))),
% 121.51/121.49 inference(scs_inference,[],[53,877,39])).
% 121.51/121.49 cnf(2864,plain,
% 121.51/121.49 (P15(f6(a1,f12(f16(x28641,a1),f18(x28642,f18(x28643,a1)))),f6(a2,f12(f16(x28641,a2),f18(x28642,f18(x28643,a2)))))),
% 121.51/121.49 inference(scs_inference,[],[1,315,35])).
% 121.51/121.49 cnf(2917,plain,
% 121.51/121.49 (P13(f8(f7(f13(x29171,f6(a1,x29172)),f12(f16(x29173,a1),x29174)),a1),f8(f7(f13(x29171,f6(a2,x29172)),f12(f16(x29173,a2),x29174)),a2))),
% 121.51/121.49 inference(scs_inference,[],[1,843,34])).
% 121.51/121.49 cnf(2924,plain,
% 121.51/121.49 (P4(f16(f15(f14(x29241,f6(a2,f6(a1,x29242))),f6(a1,x29243)),a1),f16(f15(f14(x29241,f6(a1,f6(a2,x29242))),f6(a2,x29243)),a2))),
% 121.51/121.49 inference(scs_inference,[],[1,53,321,2858,31,40])).
% 121.51/121.49 cnf(2941,plain,
% 121.51/121.49 ($false),
% 121.51/121.49 inference(scs_inference,[],[1,163,114,2924,2917,2864,2565,57,402,14,287,291,36,41,33,35,39,31]),
% 121.51/121.49 ['proof']).
% 121.51/121.49 % SZS output end Proof
% 121.51/121.49 % Total time :120.820000s
%------------------------------------------------------------------------------