TSTP Solution File: SYN631-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 01:46:41 EDT 2023
% Result : Unsatisfiable 123.32s 123.61s
% Output : CNFRefutation 123.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n019.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 : Sat Aug 26 18:08:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 123.32/123.58 %-------------------------------------------
% 123.32/123.58 % File :CSE---1.6
% 123.32/123.58 % Problem :theBenchmark
% 123.32/123.58 % Transform :cnf
% 123.32/123.58 % Format :tptp:raw
% 123.32/123.58 % Command :java -jar mcs_scs.jar %d %s
% 123.32/123.58
% 123.32/123.58 % Result :Theorem 122.770000s
% 123.32/123.58 % Output :CNFRefutation 122.770000s
% 123.32/123.58 %-------------------------------------------
% 123.32/123.61 %--------------------------------------------------------------------------
% 123.32/123.61 % File : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% 123.32/123.61 % Domain : Syntactic
% 123.32/123.61 % Problem : Harrison problem 4139
% 123.32/123.61 % Version : Especial.
% 123.32/123.61 % English :
% 123.32/123.61
% 123.32/123.61 % Refs : [Har01] Email to G. Sutcliffe
% 123.32/123.61 % Source : [Har01]
% 123.32/123.61 % Names :
% 123.32/123.61
% 123.32/123.61 % Status : Unsatisfiable
% 123.32/123.61 % Rating : 0.29 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.50 v6.0.0, 0.44 v5.5.0, 0.50 v5.3.0, 0.55 v5.2.0, 0.38 v5.1.0, 0.50 v5.0.0, 0.40 v4.1.0, 0.53 v4.0.1, 0.29 v3.4.0, 0.40 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.50 v2.6.0, 0.67 v2.5.0
% 123.32/123.61 % Syntax : Number of clauses : 38 ( 13 unt; 0 nHn; 28 RR)
% 123.32/123.61 % Number of literals : 84 ( 0 equ; 47 neg)
% 123.32/123.61 % Maximal clause size : 4 ( 2 avg)
% 123.32/123.61 % Maximal term depth : 3 ( 1 avg)
% 123.32/123.61 % Number of predicates : 11 ( 11 usr; 0 prp; 2-2 aty)
% 123.32/123.61 % Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% 123.32/123.61 % Number of variables : 90 ( 2 sgn)
% 123.32/123.61 % SPC : CNF_UNS_RFO_NEQ_HRN
% 123.32/123.61
% 123.32/123.61 % Comments :
% 123.32/123.61 %--------------------------------------------------------------------------
% 123.32/123.61 cnf(p10_1,negated_conjecture,
% 123.32/123.61 p10(X0,X0) ).
% 123.32/123.61
% 123.32/123.61 cnf(p9_2,negated_conjecture,
% 123.32/123.61 p9(X74,X74) ).
% 123.32/123.61
% 123.32/123.61 cnf(p7_3,negated_conjecture,
% 123.32/123.61 p7(X65,X65) ).
% 123.32/123.61
% 123.32/123.61 cnf(p6_4,negated_conjecture,
% 123.32/123.61 p6(X62,X62) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_5,negated_conjecture,
% 123.32/123.61 p5(X37,X37) ).
% 123.32/123.61
% 123.32/123.61 cnf(p3_6,negated_conjecture,
% 123.32/123.61 p3(X32,X32) ).
% 123.32/123.61
% 123.32/123.61 cnf(p2_7,negated_conjecture,
% 123.32/123.61 p2(X12,X12) ).
% 123.32/123.61
% 123.32/123.61 cnf(p12_8,negated_conjecture,
% 123.32/123.61 p12(X5,X5) ).
% 123.32/123.61
% 123.32/123.61 cnf(p22_9,negated_conjecture,
% 123.32/123.61 p22(c25,c28) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_10,negated_conjecture,
% 123.32/123.61 p5(f17(f18(X48,X49)),X48) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_11,negated_conjecture,
% 123.32/123.61 p5(f16(f18(X44,X45)),X45) ).
% 123.32/123.61
% 123.32/123.61 cnf(p23_12,negated_conjecture,
% 123.32/123.61 p23(f13(c27,f14(c28)),f11(f15(c24))) ).
% 123.32/123.61
% 123.32/123.61 cnf(not_p23_13,negated_conjecture,
% 123.32/123.61 ~ p23(f13(f16(c27),f14(c28)),f11(c24)) ).
% 123.32/123.61
% 123.32/123.61 cnf(p9_14,negated_conjecture,
% 123.32/123.61 ( p9(f15(X77),f15(X78))
% 123.32/123.61 | ~ p9(X77,X78) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p10_15,negated_conjecture,
% 123.32/123.61 ( p10(f11(X3),f11(X4))
% 123.32/123.61 | ~ p9(X3,X4) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p3_16,negated_conjecture,
% 123.32/123.61 ( p3(f4(X35),f4(X36))
% 123.32/123.61 | ~ p2(X35,X36) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_17,negated_conjecture,
% 123.32/123.61 ( p5(f14(X40),f14(X41))
% 123.32/123.61 | ~ p6(X40,X41) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_18,negated_conjecture,
% 123.32/123.61 ( p5(f16(X42),f16(X43))
% 123.32/123.61 | ~ p5(X42,X43) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_19,negated_conjecture,
% 123.32/123.61 ( p5(f17(X46),f17(X47))
% 123.32/123.61 | ~ p5(X46,X47) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_20,negated_conjecture,
% 123.32/123.61 ( p5(f20(X60),f20(X61))
% 123.32/123.61 | ~ p5(X60,X61) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p10_21,negated_conjecture,
% 123.32/123.61 ( p10(X1,X2)
% 123.32/123.61 | ~ p10(X0,X1)
% 123.32/123.61 | ~ p10(X0,X2) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p9_22,negated_conjecture,
% 123.32/123.61 ( p9(X75,X76)
% 123.32/123.61 | ~ p9(X74,X75)
% 123.32/123.61 | ~ p9(X74,X76) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p7_23,negated_conjecture,
% 123.32/123.61 ( p7(X66,X67)
% 123.32/123.61 | ~ p7(X65,X66)
% 123.32/123.61 | ~ p7(X65,X67) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p6_24,negated_conjecture,
% 123.32/123.61 ( p6(X63,X64)
% 123.32/123.61 | ~ p6(X62,X63)
% 123.32/123.61 | ~ p6(X62,X64) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_25,negated_conjecture,
% 123.32/123.61 ( p5(X38,X39)
% 123.32/123.61 | ~ p5(X37,X38)
% 123.32/123.61 | ~ p5(X37,X39) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p3_26,negated_conjecture,
% 123.32/123.61 ( p3(X33,X34)
% 123.32/123.61 | ~ p3(X32,X33)
% 123.32/123.61 | ~ p3(X32,X34) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p2_27,negated_conjecture,
% 123.32/123.61 ( p2(X13,X14)
% 123.32/123.61 | ~ p2(X12,X13)
% 123.32/123.61 | ~ p2(X12,X14) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p12_28,negated_conjecture,
% 123.32/123.61 ( p12(X6,X7)
% 123.32/123.61 | ~ p12(X5,X6)
% 123.32/123.61 | ~ p12(X5,X7) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p23_29,negated_conjecture,
% 123.32/123.61 ( p23(X25,X26)
% 123.32/123.61 | ~ p12(X28,X25)
% 123.32/123.61 | ~ p23(X28,X27)
% 123.32/123.61 | ~ p10(X27,X26) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p21_30,negated_conjecture,
% 123.32/123.61 ( p21(X15,X16)
% 123.32/123.61 | ~ p3(X18,X16)
% 123.32/123.61 | ~ p7(X17,X15)
% 123.32/123.61 | ~ p21(X17,X18) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p22_31,negated_conjecture,
% 123.32/123.61 ( p22(X21,X22)
% 123.32/123.61 | ~ p3(X23,X21)
% 123.32/123.61 | ~ p6(X24,X22)
% 123.32/123.61 | ~ p22(X23,X24) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p12_32,negated_conjecture,
% 123.32/123.61 ( p12(f13(X8,X9),f13(X10,X11))
% 123.32/123.61 | ~ p5(X8,X10)
% 123.32/123.61 | ~ p5(X9,X11) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_33,negated_conjecture,
% 123.32/123.61 ( p5(f18(X50,X51),f18(X52,X53))
% 123.32/123.61 | ~ p5(X50,X52)
% 123.32/123.61 | ~ p5(X51,X53) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_34,negated_conjecture,
% 123.32/123.61 ( p5(X30,f18(f20(c29),f19(X29,X30,X31)))
% 123.32/123.61 | ~ p23(f13(X30,X31),f11(f15(X29))) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p23_35,negated_conjecture,
% 123.32/123.61 ( p23(f13(f19(X29,X30,X31),X31),f11(X29))
% 123.32/123.61 | ~ p23(f13(X30,X31),f11(f15(X29))) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p21_36,negated_conjecture,
% 123.32/123.61 ( p21(f8(c26,X19,X20),f4(c26))
% 123.32/123.61 | ~ p22(c25,X20)
% 123.32/123.61 | ~ p23(f13(X19,f14(X20)),f11(c24)) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p7_37,negated_conjecture,
% 123.32/123.61 ( p7(f8(X68,X69,X70),f8(X71,X72,X73))
% 123.32/123.61 | ~ p5(X69,X72)
% 123.32/123.61 | ~ p6(X70,X73)
% 123.32/123.61 | ~ p2(X68,X71) ) ).
% 123.32/123.61
% 123.32/123.61 cnf(p5_38,negated_conjecture,
% 123.32/123.61 ( p5(f19(X54,X55,X56),f19(X57,X58,X59))
% 123.32/123.61 | ~ p5(X56,X59)
% 123.32/123.61 | ~ p9(X54,X57)
% 123.32/123.61 | ~ p5(X55,X58) ) ).
% 123.32/123.61
% 123.32/123.61 %--------------------------------------------------------------------------
% 123.32/123.61 %-------------------------------------------
% 123.32/123.61 % Proof found
% 123.32/123.61 % SZS status Theorem for theBenchmark
% 123.32/123.61 % SZS output start Proof
% 123.43/123.63 %ClaNum:38(EqnAxiom:0)
% 123.43/123.63 %VarNum:182(SingletonVarNum:90)
% 123.43/123.63 %MaxLitNum:4
% 123.43/123.63 %MaxfuncDepth:2
% 123.43/123.63 %SharedTerms:18
% 123.43/123.63 %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
% 123.43/123.63 %singleGoalClaCount:13
% 123.43/123.63 [1]P1(a1,a3)
% 123.43/123.63 [10]P11(f7(a4,f6(a3)),f8(f10(a2)))
% 123.43/123.63 [13]~P11(f7(f13(a4),f6(a3)),f8(a2))
% 123.43/123.63 [2]P2(x21,x21)
% 123.43/123.63 [3]P6(x31,x31)
% 123.43/123.63 [4]P7(x41,x41)
% 123.43/123.63 [5]P8(x51,x51)
% 123.43/123.63 [6]P9(x61,x61)
% 123.43/123.63 [7]P10(x71,x71)
% 123.43/123.63 [8]P3(x81,x81)
% 123.43/123.63 [9]P4(x91,x91)
% 123.43/123.63 [11]P9(f12(f11(x111,x112)),x111)
% 123.43/123.63 [12]P9(f13(f11(x121,x122)),x122)
% 123.43/123.63 [14]~P6(x141,x142)+P2(f8(x141),f8(x142))
% 123.43/123.63 [15]~P6(x151,x152)+P6(f10(x151),f10(x152))
% 123.43/123.63 [16]~P9(x161,x162)+P9(f12(x161),f12(x162))
% 123.43/123.63 [17]~P9(x171,x172)+P9(f13(x171),f13(x172))
% 123.43/123.63 [18]~P8(x181,x182)+P9(f6(x181),f6(x182))
% 123.43/123.63 [19]~P9(x191,x192)+P9(f14(x191),f14(x192))
% 123.43/123.63 [20]~P3(x201,x202)+P10(f16(x201),f16(x202))
% 123.43/123.63 [37]~P11(f7(x372,x373),f8(f10(x371)))+P11(f7(f15(x371,x372,x373),x373),f8(x371))
% 123.43/123.63 [38]~P11(f7(x381,x383),f8(f10(x382)))+P9(x381,f11(f14(a9),f15(x382,x381,x383)))
% 123.43/123.63 [34]~P1(a1,x342)+P5(f17(a5,x341,x342),f16(a5))+~P11(f7(x341,f6(x342)),f8(a2))
% 123.43/123.63 [21]~P2(x213,x211)+P2(x211,x212)+~P2(x213,x212)
% 123.43/123.63 [22]~P6(x223,x221)+P6(x221,x222)+~P6(x223,x222)
% 123.43/123.63 [23]~P7(x233,x231)+P7(x231,x232)+~P7(x233,x232)
% 123.43/123.63 [24]~P8(x243,x241)+P8(x241,x242)+~P8(x243,x242)
% 123.43/123.63 [25]~P9(x253,x251)+P9(x251,x252)+~P9(x253,x252)
% 123.43/123.63 [26]~P10(x263,x261)+P10(x261,x262)+~P10(x263,x262)
% 123.43/123.63 [27]~P3(x273,x271)+P3(x271,x272)+~P3(x273,x272)
% 123.43/123.63 [28]~P4(x283,x281)+P4(x281,x282)+~P4(x283,x282)
% 123.43/123.63 [32]~P9(x322,x324)+~P9(x321,x323)+P9(f11(x321,x322),f11(x323,x324))
% 123.43/123.63 [33]~P9(x332,x334)+~P9(x331,x333)+P4(f7(x331,x332),f7(x333,x334))
% 123.43/123.63 [29]~P1(x294,x293)+P1(x291,x292)+~P8(x293,x292)+~P10(x294,x291)
% 123.43/123.63 [30]~P11(x304,x303)+P11(x301,x302)+~P2(x303,x302)+~P4(x304,x301)
% 123.43/123.63 [31]~P5(x313,x314)+P5(x311,x312)+~P7(x313,x311)+~P10(x314,x312)
% 123.43/123.63 [35]~P8(x353,x356)+~P9(x352,x355)+~P3(x351,x354)+P7(f17(x351,x352,x353),f17(x354,x355,x356))
% 123.43/123.63 [36]~P6(x361,x364)+~P9(x363,x366)+~P9(x362,x365)+P9(f15(x361,x362,x363),f15(x364,x365,x366))
% 123.43/123.63 %EqnAxiom
% 123.43/123.63
% 123.43/123.63 %-------------------------------------------
% 123.43/123.65 cnf(39,plain,
% 123.43/123.65 (P9(f14(f12(f11(x391,x392))),f14(x391))),
% 123.43/123.65 inference(scs_inference,[],[11,19])).
% 123.43/123.65 cnf(40,plain,
% 123.43/123.65 (P9(f13(f12(f11(x401,x402))),f13(x401))),
% 123.43/123.65 inference(scs_inference,[],[11,19,17])).
% 123.43/123.65 cnf(45,plain,
% 123.43/123.65 (P11(f7(f15(a2,a4,f6(a3)),f6(a3)),f8(a2))),
% 123.43/123.65 inference(scs_inference,[],[10,11,19,17,16,38,37])).
% 123.43/123.65 cnf(47,plain,
% 123.43/123.66 (P9(x471,f12(f11(x471,x472)))),
% 123.43/123.66 inference(scs_inference,[],[6,10,11,19,17,16,38,37,25])).
% 123.43/123.66 cnf(48,plain,
% 123.43/123.66 (P9(x481,x481)),
% 123.43/123.66 inference(rename_variables,[],[6])).
% 123.43/123.66 cnf(52,plain,
% 123.43/123.66 (P9(f11(x521,f12(f11(x522,x523))),f11(x521,x522))),
% 123.43/123.66 inference(scs_inference,[],[6,48,10,11,19,17,16,38,37,25,33,32])).
% 123.43/123.66 cnf(65,plain,
% 123.43/123.66 (P9(f15(x651,x652,f13(f11(x653,x654))),f15(x651,x652,x654))),
% 123.43/123.66 inference(scs_inference,[],[12,6,3,36])).
% 123.43/123.66 cnf(75,plain,
% 123.43/123.66 (P9(x751,f13(f11(x752,x751)))),
% 123.43/123.66 inference(scs_inference,[],[1,12,6,8,3,5,45,36,35,33,32,34,25])).
% 123.43/123.66 cnf(100,plain,
% 123.43/123.66 (P7(f17(x1001,f12(f11(x1002,x1003)),x1004),f17(x1001,x1002,x1004))),
% 123.43/123.66 inference(scs_inference,[],[5,8,11,47,75,19,17,16,35])).
% 123.43/123.66 cnf(105,plain,
% 123.43/123.66 (P4(f7(x1051,x1052),f7(x1051,f13(f11(x1053,x1052))))),
% 123.43/123.66 inference(scs_inference,[],[6,75,32,33])).
% 123.43/123.66 cnf(112,plain,
% 123.43/123.66 (P9(f15(x1121,f13(f11(x1122,x1123)),x1124),f15(x1121,x1123,x1124))),
% 123.43/123.66 inference(scs_inference,[],[6,12,3,32,36])).
% 123.43/123.66 cnf(114,plain,
% 123.43/123.66 (P4(f7(f13(f11(x1141,x1142)),x1143),f7(x1142,x1143))),
% 123.43/123.66 inference(scs_inference,[],[6,12,3,32,36,33])).
% 123.43/123.66 cnf(124,plain,
% 123.43/123.66 (~P9(f15(a2,f13(f11(x1241,a4)),f6(a3)),f13(a4))),
% 123.43/123.66 inference(scs_inference,[],[7,45,13,112,2,100,6,30,33,31,25])).
% 123.43/123.66 cnf(127,plain,
% 123.43/123.66 (~P4(f7(f13(a4),f6(a3)),f7(f15(a2,a4,f6(a3)),f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[7,9,45,13,112,2,100,6,30,33,31,25,28])).
% 123.43/123.66 cnf(143,plain,
% 123.43/123.66 (P4(f7(f12(f11(x1431,x1432)),x1433),f7(x1431,x1433))),
% 123.43/123.66 inference(scs_inference,[],[11,6,33])).
% 123.43/123.66 cnf(151,plain,
% 123.43/123.66 (P9(f15(f10(x1511),f13(f11(x1512,x1513)),f13(f11(x1512,x1513))),f15(f10(x1511),x1513,x1513))),
% 123.43/123.66 inference(scs_inference,[],[3,12,15,36])).
% 123.43/123.66 cnf(171,plain,
% 123.43/123.66 (P9(f13(f11(x1711,x1712)),f12(f11(x1712,x1713)))),
% 123.43/123.66 inference(scs_inference,[],[47,75,3,6,32,36,25])).
% 123.43/123.66 cnf(174,plain,
% 123.43/123.66 (P4(f7(x1741,x1742),f7(f12(f11(x1741,x1743)),x1742))),
% 123.43/123.66 inference(scs_inference,[],[47,75,3,6,32,36,25,33])).
% 123.43/123.66 cnf(199,plain,
% 123.43/123.66 (P4(f7(x1991,x1992),f7(f13(f11(x1993,x1991)),x1992))),
% 123.43/123.66 inference(scs_inference,[],[75,47,3,6,36,25,32,33])).
% 123.43/123.66 cnf(252,plain,
% 123.43/123.66 (P11(f7(f12(f11(a4,x2521)),f6(a3)),f8(f10(a2)))),
% 123.43/123.66 inference(scs_inference,[],[2,10,174,30])).
% 123.43/123.66 cnf(259,plain,
% 123.43/123.66 (P9(f13(f12(f12(f11(x2591,x2592)))),f13(f12(x2591)))),
% 123.43/123.66 inference(scs_inference,[],[11,17,16])).
% 123.43/123.66 cnf(283,plain,
% 123.43/123.66 (P11(f7(f13(f11(x2831,a4)),f6(a3)),f8(f10(a2)))),
% 123.43/123.66 inference(scs_inference,[],[10,199,2,30])).
% 123.43/123.66 cnf(459,plain,
% 123.43/123.66 (P9(f11(a4,x4591),f11(f11(f14(a9),f15(a2,a4,f6(a3))),x4591))),
% 123.43/123.66 inference(scs_inference,[],[6,10,32,38])).
% 123.43/123.66 cnf(494,plain,
% 123.43/123.66 (P9(f11(f15(x4941,f13(f11(x4942,x4943)),x4944),a4),f11(f15(x4941,x4943,x4944),f11(f14(a9),f15(a2,a4,f6(a3)))))),
% 123.43/123.66 inference(scs_inference,[],[112,10,32,38])).
% 123.43/123.66 cnf(578,plain,
% 123.43/123.66 (P4(f7(f13(f11(x5781,a4)),x5782),f7(f11(f14(a9),f15(a2,f13(f11(x5781,a4)),f6(a3))),x5782))),
% 123.43/123.66 inference(scs_inference,[],[6,283,33,38])).
% 123.43/123.66 cnf(644,plain,
% 123.43/123.66 (~P9(f13(f12(f11(a4,x6441))),f15(a2,a4,f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[127,6,40,33,25])).
% 123.43/123.66 cnf(649,plain,
% 123.43/123.66 (P4(f7(f11(f12(f11(x6491,x6492)),f12(f11(x6491,x6492))),f11(f12(f11(x6491,x6492)),f12(f11(x6491,x6492)))),f7(f11(x6491,x6491),f11(x6491,x6491)))),
% 123.43/123.66 inference(scs_inference,[],[11,33,32])).
% 123.43/123.66 cnf(759,plain,
% 123.43/123.66 (~P4(f7(f15(a2,f12(f11(a4,x7591)),f6(a3)),f6(a3)),f7(f13(a4),f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[252,13,2,37,30])).
% 123.43/123.66 cnf(773,plain,
% 123.43/123.66 (~P11(f7(f13(f11(x7731,f13(a4))),f6(a3)),f8(a2))),
% 123.43/123.66 inference(scs_inference,[],[2,13,114,21,30])).
% 123.43/123.66 cnf(812,plain,
% 123.43/123.66 (P11(f7(f12(f11(f15(a2,a4,f6(a3)),x8121)),f6(a3)),f8(a2))),
% 123.43/123.66 inference(scs_inference,[],[10,2,174,37,30])).
% 123.43/123.66 cnf(813,plain,
% 123.43/123.66 (P9(f12(f11(a4,x8131)),f11(f14(a9),f15(a2,f12(f11(a4,x8131)),f6(a3))))),
% 123.43/123.66 inference(scs_inference,[],[2,174,10,38,30])).
% 123.43/123.66 cnf(900,plain,
% 123.43/123.66 (P9(f13(f12(f13(f11(x9001,x9002)))),f13(f12(f12(f11(x9002,x9003)))))),
% 123.43/123.66 inference(scs_inference,[],[171,16,17])).
% 123.43/123.66 cnf(940,plain,
% 123.43/123.66 (~P4(f7(f15(a2,f13(f11(x9401,a4)),f6(a3)),f6(a3)),f7(f13(a4),f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[283,13,2,37,30])).
% 123.43/123.66 cnf(1032,plain,
% 123.43/123.66 (P9(f11(f14(f12(f11(x10321,x10322))),f14(x10321)),f11(f14(x10321),f14(x10321)))),
% 123.43/123.66 inference(scs_inference,[],[39,32,25])).
% 123.43/123.66 cnf(1037,plain,
% 123.43/123.66 (P9(f12(f11(x10371,x10371)),f12(f11(f12(f11(x10371,x10372)),f12(f11(x10371,x10372)))))),
% 123.43/123.66 inference(scs_inference,[],[47,32,16])).
% 123.43/123.66 cnf(1137,plain,
% 123.43/123.66 (~P9(f11(x11371,f15(a2,f13(f11(x11372,a4)),f6(a3))),a4)),
% 123.43/123.66 inference(scs_inference,[],[124,12,25,17])).
% 123.43/123.66 cnf(1167,plain,
% 123.43/123.66 (~P4(f7(f12(f11(f15(a2,f12(f11(a4,x11671)),f6(a3)),x11672)),f6(a3)),f7(f13(a4),f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[151,759,143,19,17,28])).
% 123.43/123.66 cnf(1175,plain,
% 123.43/123.66 (~P9(f13(f12(f12(f11(f11(a4,x11751),x11752)))),f15(a2,a4,f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[151,259,759,143,52,644,6,19,17,28,32,33,25])).
% 123.43/123.66 cnf(1180,plain,
% 123.43/123.66 (~P4(f7(f12(f11(f15(a2,a4,f6(a3)),x11801)),f6(a3)),f7(f13(f11(x11802,f13(a4))),f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[2,151,259,759,812,143,52,644,773,8,6,5,19,17,28,32,33,25,35,30])).
% 123.43/123.66 cnf(1185,plain,
% 123.43/123.66 (P9(f13(f11(x11851,a4)),f11(f14(a9),f15(a2,f13(f11(x11851,a4)),f6(a3))))),
% 123.43/123.66 inference(scs_inference,[],[2,151,259,759,812,143,52,283,644,773,8,6,5,3,19,17,28,32,33,25,35,30,36,38])).
% 123.43/123.66 cnf(1195,plain,
% 123.43/123.66 (~P4(f7(f12(f11(f13(a4),x11951)),f6(a3)),f7(f12(f11(f15(a2,f12(f11(a4,x11952)),f6(a3)),x11953)),f6(a3)))),
% 123.43/123.66 inference(scs_inference,[],[1167,143,28])).
% 123.43/123.66 cnf(1218,plain,
% 123.43/123.66 (P9(f12(f11(f12(f11(x12181,x12182)),f12(f11(x12181,x12182)))),x12181)),
% 123.43/123.66 inference(scs_inference,[],[649,1037,65,9,11,28,33,25])).
% 123.43/123.66 cnf(1221,plain,
% 123.43/123.66 (P11(f7(f11(f14(a9),f15(a2,f13(f11(x12211,a4)),f6(a3))),f6(a3)),f8(f10(a2)))),
% 123.43/123.66 inference(scs_inference,[],[2,649,1037,578,65,283,9,11,28,33,25,30])).
% 123.43/123.66 cnf(1234,plain,
% 123.43/123.66 (~P9(f11(f13(a4),x12341),f11(f15(a2,f12(f11(a4,x12342)),f6(a3)),x12343))),
% 123.43/123.66 inference(scs_inference,[],[900,1195,174,1175,6,28,33,25,16])).
% 123.43/123.66 cnf(1243,plain,
% 123.43/123.66 (~P9(f12(f11(f12(f11(a4,x12431)),f12(f11(a4,x12431)))),f11(x12432,f15(a2,f13(f11(x12433,a4)),f6(a3))))),
% 123.43/123.66 inference(scs_inference,[],[1032,1218,940,143,52,1137,16,28,33,25])).
% 123.43/123.66 cnf(1246,plain,
% 123.43/123.66 (P11(f7(f15(a2,f11(f14(a9),f15(a2,f13(f11(x12461,a4)),f6(a3))),f6(a3)),f6(a3)),f8(a2))),
% 123.43/123.66 inference(scs_inference,[],[1032,1218,1221,940,143,52,1137,16,28,33,25,37])).
% 123.43/123.66 cnf(1380,plain,
% 123.43/123.66 (P9(f12(f11(a4,x13801)),f12(f11(f11(f14(a9),f15(a2,a4,f6(a3))),x13801)))),
% 123.43/123.66 inference(scs_inference,[],[459,1037,1221,105,1180,1243,6,2,33,25,30,16])).
% 123.43/123.66 cnf(1386,plain,
% 123.43/123.66 (P9(a4,f12(f11(f11(f14(a9),f15(a2,a4,f6(a3))),x13861)))),
% 123.43/123.66 inference(scs_inference,[],[1,1380,1246,11,34,25])).
% 123.43/123.66 cnf(1422,plain,
% 123.43/123.66 (P9(a4,f11(f14(a9),f15(a2,f12(f11(a4,x14221)),f6(a3))))),
% 123.43/123.66 inference(scs_inference,[],[813,11,25])).
% 123.43/123.66 cnf(1435,plain,
% 123.43/123.66 (~P9(f11(f15(a2,f13(f11(x14351,f12(f11(a4,x14352)))),f6(a3)),a4),f11(f13(a4),x14353))),
% 123.43/123.66 inference(scs_inference,[],[494,1422,1234,33,25])).
% 123.43/123.66 cnf(1444,plain,
% 123.43/123.66 ($false),
% 123.43/123.66 inference(scs_inference,[],[1185,1435,1386,1137,12,32,25]),
% 123.43/123.66 ['proof']).
% 123.43/123.66 % SZS output end Proof
% 123.43/123.66 % Total time :122.770000s
%------------------------------------------------------------------------------