TSTP Solution File: SYN670-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN670-1 : 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 : n029.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 01:46:52 EDT 2023

% Result   : Unsatisfiable 3.05s 3.17s
% Output   : CNFRefutation 3.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN670-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.19/0.37  % Computer : n029.cluster.edu
% 0.19/0.37  % Model    : x86_64 x86_64
% 0.19/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37  % Memory   : 8042.1875MB
% 0.19/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37  % CPULimit   : 300
% 0.19/0.37  % WCLimit    : 300
% 0.19/0.37  % DateTime   : Sat Aug 26 20:05:55 EDT 2023
% 0.19/0.37  % CPUTime    : 
% 0.22/0.58  start to proof:theBenchmark
% 3.05/3.15  %-------------------------------------------
% 3.05/3.15  % File        :CSE---1.6
% 3.05/3.15  % Problem     :theBenchmark
% 3.05/3.15  % Transform   :cnf
% 3.05/3.15  % Format      :tptp:raw
% 3.05/3.15  % Command     :java -jar mcs_scs.jar %d %s
% 3.05/3.15  
% 3.05/3.15  % Result      :Theorem 2.510000s
% 3.05/3.15  % Output      :CNFRefutation 2.510000s
% 3.05/3.15  %-------------------------------------------
% 3.05/3.16  %--------------------------------------------------------------------------
% 3.05/3.16  % File     : SYN670-1 : TPTP v8.1.2. Released v2.5.0.
% 3.05/3.16  % Domain   : Syntactic
% 3.05/3.16  % Problem  : Harrison problem 4537
% 3.05/3.16  % Version  : Especial.
% 3.05/3.16  % English  :
% 3.05/3.16  
% 3.05/3.16  % Refs     : [Har01] Email to G. Sutcliffe
% 3.05/3.16  % Source   : [Har01]
% 3.05/3.16  % Names    :
% 3.05/3.16  
% 3.05/3.16  % Status   : Unsatisfiable
% 3.05/3.16  % Rating   : 0.00 v2.5.0
% 3.05/3.16  % Syntax   : Number of clauses     :   54 (  23 unt;   2 nHn;  44 RR)
% 3.05/3.16  %            Number of literals    :  117 (   0 equ;  63 neg)
% 3.05/3.16  %            Maximal clause size   :    5 (   2 avg)
% 3.05/3.16  %            Maximal term depth    :    6 (   1 avg)
% 3.05/3.16  %            Number of predicates  :   15 (  15 usr;   0 prp; 1-3 aty)
% 3.05/3.16  %            Number of functors    :   21 (  21 usr;  10 con; 0-2 aty)
% 3.05/3.16  %            Number of variables   :  110 (   3 sgn)
% 3.05/3.16  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 3.05/3.16  
% 3.05/3.16  % Comments :
% 3.05/3.16  %--------------------------------------------------------------------------
% 3.05/3.16  cnf(c28_is_p22_1,negated_conjecture,
% 3.05/3.16      p22(c28) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p10_2,negated_conjecture,
% 3.05/3.16      p10(X0,X0) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p7_3,negated_conjecture,
% 3.05/3.16      p7(X91,X91) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p6_4,negated_conjecture,
% 3.05/3.16      p6(X88,X88) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p3_5,negated_conjecture,
% 3.05/3.16      p3(X83,X83) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p20_6,negated_conjecture,
% 3.05/3.16      p20(X51,X51) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_7,negated_conjecture,
% 3.05/3.16      p2(X28,X28) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p19_8,negated_conjecture,
% 3.05/3.16      p19(X25,X25) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p14_9,negated_conjecture,
% 3.05/3.16      p14(X18,X18) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p12_10,negated_conjecture,
% 3.05/3.16      p12(X11,X11) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p25_11,negated_conjecture,
% 3.05/3.16      p25(c32,c33) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p25_12,negated_conjecture,
% 3.05/3.16      p25(c33,c36) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p25_13,negated_conjecture,
% 3.05/3.16      p25(c32,c36) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p7_14,negated_conjecture,
% 3.05/3.16      p7(f8(c29),c30) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p26_15,negated_conjecture,
% 3.05/3.16      p26(f21(c28,c35),c34) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p26_16,negated_conjecture,
% 3.05/3.16      p26(f21(c28,c37),c34) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p23_17,negated_conjecture,
% 3.05/3.16      p23(c28,f4(f5(X66)),f4(X66)) ).
% 3.05/3.16  
% 3.05/3.16  cnf(not_p2_18,negated_conjecture,
% 3.05/3.16      ~ p2(X96,f18(X96,f9(f17(c31)))) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p22_19,negated_conjecture,
% 3.05/3.16      ( p22(X58)
% 3.05/3.16      | ~ p22(X59)
% 3.05/3.16      | ~ p19(X59,X58) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_20,negated_conjecture,
% 3.05/3.16      ( p2(f17(X41),f17(X42))
% 3.05/3.16      | ~ p2(X41,X42) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p7_21,negated_conjecture,
% 3.05/3.16      ( p7(f8(X94),f8(X95))
% 3.05/3.16      | ~ p6(X94,X95) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p3_22,negated_conjecture,
% 3.05/3.16      ( p3(f4(X86),f4(X87))
% 3.05/3.16      | ~ p2(X86,X87) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_23,negated_conjecture,
% 3.05/3.16      ( p2(f9(X49),f9(X50))
% 3.05/3.16      | ~ p2(X49,X50) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_24,negated_conjecture,
% 3.05/3.16      ( p2(f5(X47),f5(X48))
% 3.05/3.16      | ~ p2(X47,X48) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p10_25,negated_conjecture,
% 3.05/3.16      ( p10(X1,X2)
% 3.05/3.16      | ~ p10(X0,X1)
% 3.05/3.16      | ~ p10(X0,X2) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p7_26,negated_conjecture,
% 3.05/3.16      ( p7(X92,X93)
% 3.05/3.16      | ~ p7(X91,X92)
% 3.05/3.16      | ~ p7(X91,X93) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p6_27,negated_conjecture,
% 3.05/3.16      ( p6(X89,X90)
% 3.05/3.16      | ~ p6(X88,X89)
% 3.05/3.16      | ~ p6(X88,X90) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p3_28,negated_conjecture,
% 3.05/3.16      ( p3(X84,X85)
% 3.05/3.16      | ~ p3(X83,X84)
% 3.05/3.16      | ~ p3(X83,X85) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p20_29,negated_conjecture,
% 3.05/3.16      ( p20(X52,X53)
% 3.05/3.16      | ~ p20(X51,X52)
% 3.05/3.16      | ~ p20(X51,X53) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_30,negated_conjecture,
% 3.05/3.16      ( p2(X29,X30)
% 3.05/3.16      | ~ p2(X28,X29)
% 3.05/3.16      | ~ p2(X28,X30) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p19_31,negated_conjecture,
% 3.05/3.16      ( p19(X26,X27)
% 3.05/3.16      | ~ p19(X25,X26)
% 3.05/3.16      | ~ p19(X25,X27) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p14_32,negated_conjecture,
% 3.05/3.16      ( p14(X19,X20)
% 3.05/3.16      | ~ p14(X18,X19)
% 3.05/3.16      | ~ p14(X18,X20) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p12_33,negated_conjecture,
% 3.05/3.16      ( p12(X12,X13)
% 3.05/3.16      | ~ p12(X11,X12)
% 3.05/3.16      | ~ p12(X11,X13) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p27_34,negated_conjecture,
% 3.05/3.16      ( p27(X79,X80)
% 3.05/3.16      | ~ p2(X82,X80)
% 3.05/3.16      | ~ p27(X81,X82)
% 3.05/3.16      | ~ p2(X81,X79) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p24_35,negated_conjecture,
% 3.05/3.16      ( p24(X67,X68)
% 3.05/3.16      | ~ p14(X70,X67)
% 3.05/3.16      | ~ p24(X70,X69)
% 3.05/3.16      | ~ p12(X69,X68) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p25_36,negated_conjecture,
% 3.05/3.16      ( p25(X71,X72)
% 3.05/3.16      | ~ p2(X74,X72)
% 3.05/3.16      | ~ p25(X73,X74)
% 3.05/3.16      | ~ p2(X73,X71) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p26_37,negated_conjecture,
% 3.05/3.16      ( p26(X75,X76)
% 3.05/3.16      | ~ p20(X78,X75)
% 3.05/3.16      | ~ p26(X78,X77)
% 3.05/3.16      | ~ p10(X77,X76) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_38,negated_conjecture,
% 3.05/3.16      p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_39,negated_conjecture,
% 3.05/3.16      p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p27_40,negated_conjecture,
% 3.05/3.16      p27(f11(f4(c36),c37),f11(f4(f16(c36,f9(f17(c31)))),c37)) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p27_41,negated_conjecture,
% 3.05/3.16      p27(f11(f4(c33),c35),f11(f4(f16(c33,f9(f17(c31)))),c35)) ).
% 3.05/3.16  
% 3.05/3.16  cnf(not_p2_42,negated_conjecture,
% 3.05/3.16      ~ p2(f11(f4(f16(c32,f9(f17(c31)))),c34),f11(f4(c32),c34)) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p20_43,negated_conjecture,
% 3.05/3.16      ( p20(f21(X54,X55),f21(X56,X57))
% 3.05/3.16      | ~ p10(X55,X57)
% 3.05/3.16      | ~ p19(X54,X56) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p12_44,negated_conjecture,
% 3.05/3.16      ( p12(f13(X14,X15),f13(X16,X17))
% 3.05/3.16      | ~ p10(X14,X16)
% 3.05/3.16      | ~ p2(X15,X17) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p14_45,negated_conjecture,
% 3.05/3.16      ( p14(f15(X21,X22),f15(X23,X24))
% 3.05/3.16      | ~ p12(X22,X24)
% 3.05/3.16      | ~ p7(X21,X23) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_46,negated_conjecture,
% 3.05/3.16      ( p2(f11(X31,X32),f11(X33,X34))
% 3.05/3.16      | ~ p10(X32,X34)
% 3.05/3.16      | ~ p3(X31,X33) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_47,negated_conjecture,
% 3.05/3.16      ( p2(f16(X37,X38),f16(X39,X40))
% 3.05/3.16      | ~ p2(X37,X39)
% 3.05/3.16      | ~ p2(X38,X40) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_48,negated_conjecture,
% 3.05/3.16      ( p2(f18(X43,X44),f18(X45,X46))
% 3.05/3.16      | ~ p2(X43,X45)
% 3.05/3.16      | ~ p2(X44,X46) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_49,negated_conjecture,
% 3.05/3.16      ( p2(f11(f4(X35),c34),f11(f4(c32),c34))
% 3.05/3.16      | ~ p25(X35,c33)
% 3.05/3.16      | ~ p25(c32,X35) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p2_50,negated_conjecture,
% 3.05/3.16      ( p2(f11(f4(X36),c34),f11(f4(c32),c34))
% 3.05/3.16      | ~ p25(X36,c36)
% 3.05/3.16      | ~ p25(c32,X36) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p10_51,negated_conjecture,
% 3.05/3.16      ( p10(X7,X8)
% 3.05/3.16      | p26(f21(c28,X7),X8)
% 3.05/3.16      | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ).
% 3.05/3.16  
% 3.05/3.16  cnf(p23_52,negated_conjecture,
% 3.05/3.16      ( p23(X60,X61,X62)
% 3.05/3.16      | ~ p3(X65,X62)
% 3.05/3.17      | ~ p3(X64,X61)
% 3.05/3.17      | ~ p19(X63,X60)
% 3.05/3.17      | ~ p23(X63,X64,X65) ) ).
% 3.05/3.17  
% 3.05/3.17  cnf(p10_53,negated_conjecture,
% 3.05/3.17      ( p10(X3,X4)
% 3.05/3.17      | ~ p2(f11(f4(X5),X3),f9(c31))
% 3.05/3.17      | ~ p24(f15(c30,f13(X3,X5)),f13(X4,X6)) ) ).
% 3.05/3.17  
% 3.05/3.17  cnf(p26_54,negated_conjecture,
% 3.05/3.17      ( p26(f21(c28,X7),X8)
% 3.05/3.17      | p25(f11(f4(X9),X8),f11(f4(X10),X8))
% 3.05/3.17      | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ).
% 3.05/3.17  
% 3.05/3.17  %--------------------------------------------------------------------------
% 3.05/3.17  %-------------------------------------------
% 3.05/3.17  % Proof found
% 3.05/3.17  % SZS status Theorem for theBenchmark
% 3.05/3.17  % SZS output start Proof
% 3.05/3.17  %ClaNum:54(EqnAxiom:0)
% 3.05/3.17  %VarNum:224(SingletonVarNum:110)
% 3.05/3.17  %MaxLitNum:5
% 3.05/3.17  %MaxfuncDepth:5
% 3.05/3.17  %SharedTerms:47
% 3.05/3.17  %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 45 46 47 48 49 50 51 52 53 54
% 3.05/3.17  %singleGoalClaCount:23
% 3.05/3.17  [1]P1(a1)
% 3.05/3.17  [2]P8(a2,a6)
% 3.05/3.17  [3]P8(a2,a7)
% 3.05/3.17  [4]P8(a6,a7)
% 3.05/3.17  [14]P11(f10(a3),a4)
% 3.05/3.17  [15]P14(f11(a1,a8),a9)
% 3.05/3.17  [16]P14(f11(a1,a12),a9)
% 3.05/3.17  [18]P4(f13(f20(a2),a9),f18(f13(f20(a6),a9),f21(f14(a5))))
% 3.05/3.17  [19]P4(f13(f20(a2),a9),f18(f13(f20(a7),a9),f21(f14(a5))))
% 3.05/3.17  [20]P15(f13(f20(a6),a8),f13(f20(f15(a6,f21(f14(a5)))),a8))
% 3.05/3.17  [21]P15(f13(f20(a7),a12),f13(f20(f15(a7,f21(f14(a5)))),a12))
% 3.05/3.17  [23]~P4(f13(f20(f15(a2,f21(f14(a5)))),a9),f13(f20(a2),a9))
% 3.05/3.17  [5]P2(x51,x51)
% 3.05/3.17  [6]P11(x61,x61)
% 3.05/3.17  [7]P12(x71,x71)
% 3.05/3.17  [8]P13(x81,x81)
% 3.05/3.17  [9]P3(x91,x91)
% 3.05/3.17  [10]P4(x101,x101)
% 3.05/3.17  [11]P5(x111,x111)
% 3.05/3.17  [12]P6(x121,x121)
% 3.05/3.17  [13]P7(x131,x131)
% 3.05/3.17  [17]P9(a1,f20(f19(x171)),f20(x171))
% 3.05/3.17  [22]~P4(x221,f18(x221,f21(f14(a5))))
% 3.05/3.17  [25]~P12(x251,x252)+P11(f10(x251),f10(x252))
% 3.05/3.17  [26]~P4(x261,x262)+P13(f20(x261),f20(x262))
% 3.05/3.17  [27]~P4(x271,x272)+P4(f19(x271),f19(x272))
% 3.05/3.17  [28]~P4(x281,x282)+P4(f14(x281),f14(x282))
% 3.05/3.17  [29]~P4(x291,x292)+P4(f21(x291),f21(x292))
% 3.05/3.17  [49]~P8(x491,a6)+~P8(a2,x491)+P4(f13(f20(x491),a9),f13(f20(a2),a9))
% 3.05/3.17  [50]~P8(x501,a7)+~P8(a2,x501)+P4(f13(f20(x501),a9),f13(f20(a2),a9))
% 3.05/3.17  [24]~P5(x242,x241)+P1(x241)+~P1(x242)
% 3.05/3.17  [30]~P2(x303,x301)+P2(x301,x302)+~P2(x303,x302)
% 3.05/3.17  [31]~P11(x313,x311)+P11(x311,x312)+~P11(x313,x312)
% 3.05/3.17  [32]~P12(x323,x321)+P12(x321,x322)+~P12(x323,x322)
% 3.05/3.17  [33]~P13(x333,x331)+P13(x331,x332)+~P13(x333,x332)
% 3.05/3.17  [34]~P3(x343,x341)+P3(x341,x342)+~P3(x343,x342)
% 3.05/3.17  [35]~P4(x353,x351)+P4(x351,x352)+~P4(x353,x352)
% 3.05/3.17  [36]~P5(x363,x361)+P5(x361,x362)+~P5(x363,x362)
% 3.05/3.17  [37]~P6(x373,x371)+P6(x371,x372)+~P6(x373,x372)
% 3.05/3.17  [38]~P7(x383,x381)+P7(x381,x382)+~P7(x383,x382)
% 3.05/3.17  [43]~P2(x432,x434)+~P5(x431,x433)+P3(f11(x431,x432),f11(x433,x434))
% 3.05/3.17  [44]~P4(x442,x444)+~P4(x441,x443)+P4(f18(x441,x442),f18(x443,x444))
% 3.05/3.17  [45]~P2(x452,x454)+~P13(x451,x453)+P4(f13(x451,x452),f13(x453,x454))
% 3.05/3.17  [46]~P4(x462,x464)+~P4(x461,x463)+P4(f15(x461,x462),f15(x463,x464))
% 3.05/3.17  [47]~P11(x471,x473)+~P7(x472,x474)+P6(f16(x471,x472),f16(x473,x474))
% 3.05/3.17  [48]~P2(x481,x483)+~P4(x482,x484)+P7(f17(x481,x482),f17(x483,x484))
% 3.05/3.17  [52]P2(x521,x522)+P14(f11(a1,x521),x522)+~P10(f16(a4,f17(x521,x523)),f17(x522,x524))
% 3.05/3.17  [53]P2(x531,x532)+~P10(f16(a4,f17(x531,x533)),f17(x532,x534))+~P4(f13(f20(x533),x531),f21(a5))
% 3.05/3.17  [54]P14(f11(a1,x541),x542)+P8(f13(f20(x543),x542),f13(f20(x544),x542))+~P10(f16(a4,f17(x541,x543)),f17(x542,x544))
% 3.05/3.17  [39]~P8(x393,x394)+P8(x391,x392)+~P4(x393,x391)+~P4(x394,x392)
% 3.05/3.17  [40]~P14(x404,x403)+P14(x401,x402)+~P2(x403,x402)+~P3(x404,x401)
% 3.05/3.17  [41]~P15(x413,x414)+P15(x411,x412)+~P4(x413,x411)+~P4(x414,x412)
% 3.05/3.17  [42]~P10(x423,x424)+P10(x421,x422)+~P6(x423,x421)+~P7(x424,x422)
% 3.05/3.17  [51]~P9(x516,x514,x515)+P9(x511,x512,x513)+~P13(x514,x512)+~P13(x515,x513)+~P5(x516,x511)
% 3.05/3.17  %EqnAxiom
% 3.05/3.17  
% 3.05/3.17  %-------------------------------------------
% 3.05/3.17  cnf(68,plain,
% 3.05/3.17     (P4(f13(f20(a6),a9),f13(f20(a2),a9))),
% 3.05/3.17     inference(scs_inference,[],[5,2,4,19,23,22,45,29,28,27,26,35,50])).
% 3.05/3.17  cnf(131,plain,
% 3.05/3.17     (~P4(f13(f20(a2),a9),f18(f18(f13(f20(a6),a9),f21(f14(a5))),f21(f14(a5))))),
% 3.05/3.17     inference(scs_inference,[],[22,5,19,18,48,35])).
% 3.05/3.17  cnf(388,plain,
% 3.05/3.17     (P4(f18(f13(f20(a2),a9),x3881),f18(f18(f13(f20(a6),a9),f21(f14(a5))),x3881))),
% 3.05/3.17     inference(scs_inference,[],[18,10,46,44])).
% 3.05/3.17  cnf(390,plain,
% 3.05/3.17     (P4(f18(f13(f20(a6),a9),f21(f14(a5))),f13(f20(a2),a9))),
% 3.05/3.17     inference(scs_inference,[],[18,10,46,44,35])).
% 3.05/3.17  cnf(462,plain,
% 3.05/3.17     (~P4(f18(f13(f20(a2),a9),f21(f14(a5))),f13(f20(a2),a9))),
% 3.05/3.17     inference(scs_inference,[],[131,388,35])).
% 3.05/3.17  cnf(667,plain,
% 3.05/3.17     (~P4(f18(f13(f20(a6),a9),f21(f14(a5))),f18(f13(f20(a2),a9),f21(f14(a5))))),
% 3.05/3.17     inference(scs_inference,[],[462,390,35])).
% 3.05/3.17  cnf(673,plain,
% 3.05/3.17     ($false),
% 3.05/3.17     inference(scs_inference,[],[667,68,10,44]),
% 3.05/3.17     ['proof']).
% 3.05/3.17  % SZS output end Proof
% 3.05/3.17  % Total time :2.510000s
%------------------------------------------------------------------------------