TSTP Solution File: SYN673-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN673-1 : 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 : n003.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 01:46:53 EDT 2023

% Result   : Unsatisfiable 61.67s 61.75s
% Output   : CNFRefutation 61.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN673-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 18:57:39 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 61.67/61.74  %-------------------------------------------
% 61.67/61.74  % File        :CSE---1.6
% 61.67/61.74  % Problem     :theBenchmark
% 61.67/61.74  % Transform   :cnf
% 61.67/61.74  % Format      :tptp:raw
% 61.67/61.74  % Command     :java -jar mcs_scs.jar %d %s
% 61.67/61.74  
% 61.67/61.74  % Result      :Theorem 61.130000s
% 61.67/61.74  % Output      :CNFRefutation 61.130000s
% 61.67/61.74  %-------------------------------------------
% 61.67/61.74  %--------------------------------------------------------------------------
% 61.67/61.74  % File     : SYN673-1 : TPTP v8.1.2. Released v2.5.0.
% 61.67/61.74  % Domain   : Syntactic
% 61.67/61.74  % Problem  : Harrison problem 4552
% 61.67/61.74  % Version  : Especial.
% 61.67/61.74  % English  :
% 61.67/61.74  
% 61.67/61.74  % Refs     : [Har01] Email to G. Sutcliffe
% 61.67/61.74  % Source   : [Har01]
% 61.67/61.74  % Names    :
% 61.67/61.74  
% 61.67/61.74  % Status   : Unsatisfiable
% 61.67/61.74  % Rating   : 0.14 v8.1.0, 0.00 v7.0.0, 0.12 v6.3.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.30 v5.3.0, 0.20 v5.2.0, 0.30 v5.1.0, 0.27 v5.0.0, 0.36 v4.1.0, 0.12 v4.0.1, 0.00 v2.7.0, 0.38 v2.6.0, 0.33 v2.5.0
% 61.67/61.74  % Syntax   : Number of clauses     :   55 (  19 unt;   1 nHn;  39 RR)
% 61.67/61.74  %            Number of literals    :  125 (   0 equ;  70 neg)
% 61.67/61.74  %            Maximal clause size   :    4 (   2 avg)
% 61.67/61.74  %            Maximal term depth    :    5 (   1 avg)
% 61.67/61.74  %            Number of predicates  :   18 (  18 usr;   0 prp; 2-2 aty)
% 61.67/61.74  %            Number of functors    :   24 (  24 usr;  14 con; 0-2 aty)
% 61.67/61.74  %            Number of variables   :  124 (   0 sgn)
% 61.67/61.74  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 61.67/61.74  
% 61.67/61.74  % Comments :
% 61.67/61.74  %--------------------------------------------------------------------------
% 61.67/61.74  cnf(p10_1,negated_conjecture,
% 61.67/61.74      p10(X0,X0) ).
% 61.67/61.74  
% 61.67/61.74  cnf(p9_2,negated_conjecture,
% 61.67/61.74      p9(X102,X102) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p7_3,negated_conjecture,
% 61.67/61.75      p7(X99,X99) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p6_4,negated_conjecture,
% 61.67/61.75      p6(X96,X96) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p4_5,negated_conjecture,
% 61.67/61.75      p4(X81,X81) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p3_6,negated_conjecture,
% 61.67/61.75      p3(X74,X74) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p25_7,negated_conjecture,
% 61.67/61.75      p25(X52,X52) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p23_8,negated_conjecture,
% 61.67/61.75      p23(X49,X49) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p20_9,negated_conjecture,
% 61.67/61.75      p20(X42,X42) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p2_10,negated_conjecture,
% 61.67/61.75      p2(X39,X39) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p18_11,negated_conjecture,
% 61.67/61.75      p18(X36,X36) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p16_12,negated_conjecture,
% 61.67/61.75      p16(X29,X29) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p15_13,negated_conjecture,
% 61.67/61.75      p15(X26,X26) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p13_14,negated_conjecture,
% 61.67/61.75      p13(X19,X19) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p11_15,negated_conjecture,
% 61.67/61.75      p11(X12,X12) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p10_16,negated_conjecture,
% 61.67/61.75      p10(f14(f19(c35,X7),c41),X7) ).
% 61.67/61.75  
% 61.67/61.75  cnf(not_p29_17,negated_conjecture,
% 61.67/61.75      ~ p29(f5(c33,f8(c34,c30)),c38) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p29_18,negated_conjecture,
% 61.67/61.75      ( p29(X60,X59)
% 61.67/61.75      | ~ p27(f12(c32,X59),X60) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p27_19,negated_conjecture,
% 61.67/61.75      ( p27(f12(c32,X59),X60)
% 61.67/61.75      | ~ p29(X60,X59) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p28_20,negated_conjecture,
% 61.67/61.75      ( p28(f21(c30,X68),c31)
% 61.67/61.75      | ~ p16(X68,c40) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p27_21,negated_conjecture,
% 61.67/61.75      p27(f12(c32,c37),f5(c33,f8(c34,c30))) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p10_22,negated_conjecture,
% 61.67/61.75      ( p10(X1,X2)
% 61.67/61.75      | ~ p10(X0,X1)
% 61.67/61.75      | ~ p10(X0,X2) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p9_23,negated_conjecture,
% 61.67/61.75      ( p9(X103,X104)
% 61.67/61.75      | ~ p9(X102,X103)
% 61.67/61.75      | ~ p9(X102,X104) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p7_24,negated_conjecture,
% 61.67/61.75      ( p7(X100,X101)
% 61.67/61.75      | ~ p7(X99,X100)
% 61.67/61.75      | ~ p7(X99,X101) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p6_25,negated_conjecture,
% 61.67/61.75      ( p6(X97,X98)
% 61.67/61.75      | ~ p6(X96,X97)
% 61.67/61.75      | ~ p6(X96,X98) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p4_26,negated_conjecture,
% 61.67/61.75      ( p4(X82,X83)
% 61.67/61.75      | ~ p4(X81,X82)
% 61.67/61.75      | ~ p4(X81,X83) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p3_27,negated_conjecture,
% 61.67/61.75      ( p3(X75,X76)
% 61.67/61.75      | ~ p3(X74,X75)
% 61.67/61.75      | ~ p3(X74,X76) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p25_28,negated_conjecture,
% 61.67/61.75      ( p25(X53,X54)
% 61.67/61.75      | ~ p25(X52,X53)
% 61.67/61.75      | ~ p25(X52,X54) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p23_29,negated_conjecture,
% 61.67/61.75      ( p23(X50,X51)
% 61.67/61.75      | ~ p23(X49,X50)
% 61.67/61.75      | ~ p23(X49,X51) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p20_30,negated_conjecture,
% 61.67/61.75      ( p20(X43,X44)
% 61.67/61.75      | ~ p20(X42,X43)
% 61.67/61.75      | ~ p20(X42,X44) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p2_31,negated_conjecture,
% 61.67/61.75      ( p2(X40,X41)
% 61.67/61.75      | ~ p2(X39,X40)
% 61.67/61.75      | ~ p2(X39,X41) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p18_32,negated_conjecture,
% 61.67/61.75      ( p18(X37,X38)
% 61.67/61.75      | ~ p18(X36,X37)
% 61.67/61.75      | ~ p18(X36,X38) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p16_33,negated_conjecture,
% 61.67/61.75      ( p16(X30,X31)
% 61.67/61.75      | ~ p16(X29,X30)
% 61.67/61.75      | ~ p16(X29,X31) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p15_34,negated_conjecture,
% 61.67/61.75      ( p15(X27,X28)
% 61.67/61.75      | ~ p15(X26,X27)
% 61.67/61.75      | ~ p15(X26,X28) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p13_35,negated_conjecture,
% 61.67/61.75      ( p13(X20,X21)
% 61.67/61.75      | ~ p13(X19,X20)
% 61.67/61.75      | ~ p13(X19,X21) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p11_36,negated_conjecture,
% 61.67/61.75      ( p11(X13,X14)
% 61.67/61.75      | ~ p11(X12,X13)
% 61.67/61.75      | ~ p11(X12,X14) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p28_37,negated_conjecture,
% 61.67/61.75      ( p28(f21(c30,X68),c31)
% 61.67/61.75      | ~ p29(f24(c42,X68),c39) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p29_38,negated_conjecture,
% 61.67/61.75      ( p29(X69,X70)
% 61.67/61.75      | ~ p29(X72,X71)
% 61.67/61.75      | ~ p4(X72,X69)
% 61.67/61.75      | ~ p10(X71,X70) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p27_39,negated_conjecture,
% 61.67/61.75      ( p27(X55,X56)
% 61.67/61.75      | ~ p27(X57,X58)
% 61.67/61.75      | ~ p4(X58,X56)
% 61.67/61.75      | ~ p11(X57,X55) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p28_40,negated_conjecture,
% 61.67/61.75      ( p28(X64,X65)
% 61.67/61.75      | ~ p20(X67,X64)
% 61.67/61.75      | ~ p28(X67,X66)
% 61.67/61.75      | ~ p16(X66,X65) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p10_41,negated_conjecture,
% 61.67/61.75      p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p4_42,negated_conjecture,
% 61.67/61.75      ( p4(f5(X92,X93),f5(X94,X95))
% 61.67/61.75      | ~ p2(X92,X94)
% 61.67/61.75      | ~ p3(X93,X95) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p10_43,negated_conjecture,
% 61.67/61.75      ( p10(f14(X3,X4),f14(X5,X6))
% 61.67/61.75      | ~ p10(X4,X6)
% 61.67/61.75      | ~ p13(X3,X5) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p10_44,negated_conjecture,
% 61.67/61.75      ( p10(f17(X8,X9),f17(X10,X11))
% 61.67/61.75      | ~ p15(X8,X10)
% 61.67/61.75      | ~ p16(X9,X11) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p11_45,negated_conjecture,
% 61.67/61.75      ( p11(f12(X15,X16),f12(X17,X18))
% 61.67/61.75      | ~ p10(X16,X18)
% 61.67/61.75      | ~ p9(X15,X17) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p13_46,negated_conjecture,
% 61.67/61.75      ( p13(f19(X22,X23),f19(X24,X25))
% 61.67/61.75      | ~ p10(X23,X25)
% 61.67/61.75      | ~ p18(X22,X24) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p16_47,negated_conjecture,
% 61.67/61.75      ( p16(f26(X32,X33),f26(X34,X35))
% 61.67/61.75      | ~ p10(X33,X35)
% 61.67/61.75      | ~ p25(X32,X34) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p20_48,negated_conjecture,
% 61.67/61.75      ( p20(f21(X45,X46),f21(X47,X48))
% 61.67/61.75      | ~ p16(X46,X48)
% 61.67/61.75      | ~ p7(X45,X47) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p3_49,negated_conjecture,
% 61.67/61.75      ( p3(f8(X77,X78),f8(X79,X80))
% 61.67/61.75      | ~ p6(X77,X79)
% 61.67/61.75      | ~ p7(X78,X80) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p4_50,negated_conjecture,
% 61.67/61.75      ( p4(f22(X84,X85),f22(X86,X87))
% 61.67/61.75      | ~ p10(X85,X87)
% 61.67/61.75      | ~ p3(X84,X86) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p4_51,negated_conjecture,
% 61.67/61.75      ( p4(f24(X88,X89),f24(X90,X91))
% 61.67/61.75      | ~ p16(X89,X91)
% 61.67/61.75      | ~ p23(X88,X90) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p29_52,negated_conjecture,
% 61.67/61.75      ( p29(f24(c42,f26(c43,X73)),c39)
% 61.67/61.75      | p29(f5(c33,f8(c34,c30)),X73)
% 61.67/61.75      | ~ p10(X73,f14(f19(c35,c37),c39)) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p29_53,negated_conjecture,
% 61.67/61.75      ( p29(f5(c33,f8(c34,c30)),X73)
% 61.67/61.75      | ~ p10(X73,f14(f19(c35,c37),c39))
% 61.67/61.75      | ~ p28(f21(c30,f26(c43,X73)),c31) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p27_54,negated_conjecture,
% 61.67/61.75      ( p27(f12(c32,f14(f19(c35,X63),f17(c36,c31))),f5(c33,f8(c34,c30)))
% 61.67/61.75      | ~ p29(f22(f8(c34,c30),X63),c37) ) ).
% 61.67/61.75  
% 61.67/61.75  cnf(p27_55,negated_conjecture,
% 61.67/61.75      ( p27(f12(c32,f14(f19(c35,X61),f17(c36,X62))),f5(c33,f8(c34,c30)))
% 61.67/61.75      | ~ p28(f21(c30,X62),c31)
% 61.67/61.75      | ~ p27(f12(c32,X61),f5(c33,f8(c34,c30))) ) ).
% 61.67/61.75  
% 61.67/61.75  %--------------------------------------------------------------------------
% 61.67/61.75  %-------------------------------------------
% 61.67/61.75  % Proof found
% 61.67/61.75  % SZS status Theorem for theBenchmark
% 61.67/61.75  % SZS output start Proof
% 61.67/61.75  %ClaNum:55(EqnAxiom:0)
% 61.67/61.75  %VarNum:250(SingletonVarNum:124)
% 61.67/61.75  %MaxLitNum:4
% 61.67/61.75  %MaxfuncDepth:3
% 61.67/61.75  %SharedTerms:26
% 61.67/61.75  %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 55
% 61.67/61.75  %singleGoalClaCount:19
% 61.67/61.75  [17]P16(f15(a2,a9),f20(a5,f19(a6,a3)))
% 61.67/61.75  [18]P1(a11,f14(f7(a1,f14(f7(a1,a9),a12)),f18(a10,a13)))
% 61.67/61.75  [19]~P17(f20(a5,f19(a6,a3)),a11)
% 61.67/61.76  [1]P1(x11,x11)
% 61.67/61.76  [2]P2(x21,x21)
% 61.67/61.76  [3]P3(x31,x31)
% 61.67/61.76  [4]P4(x41,x41)
% 61.67/61.76  [5]P5(x51,x51)
% 61.67/61.76  [6]P6(x61,x61)
% 61.67/61.76  [7]P7(x71,x71)
% 61.67/61.76  [8]P8(x81,x81)
% 61.67/61.76  [9]P9(x91,x91)
% 61.67/61.76  [10]P10(x101,x101)
% 61.67/61.76  [11]P11(x111,x111)
% 61.67/61.76  [12]P12(x121,x121)
% 61.67/61.76  [13]P13(x131,x131)
% 61.67/61.76  [14]P14(x141,x141)
% 61.67/61.76  [15]P15(x151,x151)
% 61.67/61.76  [16]P1(f14(f7(a1,x161),a8),x161)
% 61.67/61.76  [20]~P12(x201,a13)+P18(f21(a3,x201),a4)
% 61.67/61.76  [41]~P17(f22(a16,x411),a12)+P18(f21(a3,x411),a4)
% 61.67/61.76  [54]~P17(f23(f19(a6,a3),x541),a9)+P16(f15(a2,f14(f7(a1,x541),f18(a10,a4))),f20(a5,f19(a6,a3)))
% 61.67/61.76  [36]~P17(x362,x361)+P16(f15(a2,x361),x362)
% 61.67/61.76  [37]P17(x371,x372)+~P16(f15(a2,x372),x371)
% 61.67/61.76  [52]P17(f20(a5,f19(a6,a3)),x521)+~P1(x521,f14(f7(a1,a9),a12))+P17(f22(a16,f24(a17,x521)),a12)
% 61.67/61.76  [53]P17(f20(a5,f19(a6,a3)),x531)+~P1(x531,f14(f7(a1,a9),a12))+~P18(f21(a3,f24(a17,x531)),a4)
% 61.67/61.76  [55]~P18(f21(a3,x552),a4)+~P16(f15(a2,x551),f20(a5,f19(a6,a3)))+P16(f15(a2,f14(f7(a1,x551),f18(a10,x552))),f20(a5,f19(a6,a3)))
% 61.67/61.76  [21]~P1(x213,x211)+P1(x211,x212)+~P1(x213,x212)
% 61.67/61.76  [22]~P2(x223,x221)+P2(x221,x222)+~P2(x223,x222)
% 61.67/61.76  [23]~P3(x233,x231)+P3(x231,x232)+~P3(x233,x232)
% 61.67/61.76  [24]~P4(x243,x241)+P4(x241,x242)+~P4(x243,x242)
% 61.67/61.76  [25]~P5(x253,x251)+P5(x251,x252)+~P5(x253,x252)
% 61.67/61.76  [26]~P6(x263,x261)+P6(x261,x262)+~P6(x263,x262)
% 61.67/61.76  [27]~P7(x273,x271)+P7(x271,x272)+~P7(x273,x272)
% 61.67/61.76  [28]~P8(x283,x281)+P8(x281,x282)+~P8(x283,x282)
% 61.67/61.76  [29]~P9(x293,x291)+P9(x291,x292)+~P9(x293,x292)
% 61.67/61.76  [30]~P10(x303,x301)+P10(x301,x302)+~P10(x303,x302)
% 61.67/61.76  [31]~P11(x313,x311)+P11(x311,x312)+~P11(x313,x312)
% 61.67/61.76  [32]~P12(x323,x321)+P12(x321,x322)+~P12(x323,x322)
% 61.67/61.76  [33]~P13(x333,x331)+P13(x331,x332)+~P13(x333,x332)
% 61.67/61.76  [34]~P14(x343,x341)+P14(x341,x342)+~P14(x343,x342)
% 61.67/61.76  [35]~P15(x353,x351)+P15(x351,x352)+~P15(x353,x352)
% 61.67/61.76  [42]~P1(x422,x424)+~P14(x421,x423)+P1(f14(x421,x422),f14(x423,x424))
% 61.67/61.76  [43]~P12(x432,x434)+~P13(x431,x433)+P1(f18(x431,x432),f18(x433,x434))
% 61.67/61.76  [44]~P6(x442,x444)+~P10(x441,x443)+P5(f20(x441,x442),f20(x443,x444))
% 61.67/61.76  [45]~P8(x451,x453)+~P12(x452,x454)+P5(f22(x451,x452),f22(x453,x454))
% 61.67/61.76  [46]~P1(x462,x464)+~P6(x461,x463)+P5(f23(x461,x462),f23(x463,x464))
% 61.67/61.76  [47]~P3(x472,x474)+~P4(x471,x473)+P6(f19(x471,x472),f19(x473,x474))
% 61.67/61.76  [48]~P3(x481,x483)+~P12(x482,x484)+P9(f21(x481,x482),f21(x483,x484))
% 61.67/61.76  [49]~P1(x492,x494)+~P7(x491,x493)+P12(f24(x491,x492),f24(x493,x494))
% 61.67/61.76  [50]~P1(x502,x504)+~P11(x501,x503)+P14(f7(x501,x502),f7(x503,x504))
% 61.67/61.76  [51]~P1(x512,x514)+~P2(x511,x513)+P15(f15(x511,x512),f15(x513,x514))
% 61.67/61.76  [38]~P17(x384,x383)+P17(x381,x382)+~P1(x383,x382)+~P5(x384,x381)
% 61.67/61.76  [39]~P16(x394,x393)+P16(x391,x392)+~P5(x393,x392)+~P15(x394,x391)
% 61.67/61.76  [40]~P18(x403,x404)+P18(x401,x402)+~P9(x403,x401)+~P12(x404,x402)
% 61.67/61.76  %EqnAxiom
% 61.67/61.76  
% 61.67/61.76  %-------------------------------------------
% 61.67/61.76  cnf(56,plain,
% 61.67/61.76     (P17(f20(a5,f19(a6,a3)),a9)),
% 61.67/61.76     inference(scs_inference,[],[17,37])).
% 61.67/61.76  cnf(57,plain,
% 61.67/61.76     (~P17(f20(a5,f19(a6,a3)),f14(f7(a1,a11),a8))),
% 61.67/61.76     inference(scs_inference,[],[5,19,17,16,37,38])).
% 61.67/61.76  cnf(58,plain,
% 61.67/61.76     (P1(f14(f7(a1,x581),a8),x581)),
% 61.67/61.76     inference(rename_variables,[],[16])).
% 61.67/61.76  cnf(61,plain,
% 61.67/61.76     (P18(f21(a3,a13),a4)),
% 61.67/61.76     inference(scs_inference,[],[5,12,19,17,16,37,38,20])).
% 61.67/61.76  cnf(64,plain,
% 61.67/61.76     (P1(x641,f14(f7(a1,x641),a8))),
% 61.67/61.76     inference(scs_inference,[],[1,5,12,19,17,16,58,37,38,20,21])).
% 61.67/61.76  cnf(67,plain,
% 61.67/61.76     (P16(f15(a2,f14(f7(a1,a9),f18(a10,a13))),f20(a5,f19(a6,a3)))),
% 61.67/61.76     inference(scs_inference,[],[1,5,12,19,17,16,58,37,38,20,21,55])).
% 61.67/61.76  cnf(69,plain,
% 61.67/61.76     (P15(f15(x691,f14(f7(a1,x692),a8)),f15(x691,x692))),
% 61.67/61.76     inference(scs_inference,[],[1,2,5,12,19,17,16,58,37,38,20,21,55,51])).
% 61.67/61.76  cnf(71,plain,
% 61.67/61.76     (P14(f7(x711,f14(f7(a1,x712),a8)),f7(x711,x712))),
% 61.67/61.76     inference(scs_inference,[],[1,2,5,11,12,19,17,16,58,37,38,20,21,55,51,50])).
% 61.67/61.76  cnf(75,plain,
% 61.67/61.76     (P5(f23(x751,f14(f7(a1,x752),a8)),f23(x751,x752))),
% 61.67/61.76     inference(scs_inference,[],[1,2,5,6,7,11,12,19,17,16,58,37,38,20,21,55,51,50,49,46])).
% 61.67/61.76  cnf(77,plain,
% 61.67/61.76     (P1(f14(x771,f14(f7(a1,x772),a8)),f14(x771,x772))),
% 61.67/61.76     inference(scs_inference,[],[1,2,5,6,7,11,12,14,19,17,16,58,37,38,20,21,55,51,50,49,46,42])).
% 61.67/61.76  cnf(85,plain,
% 61.67/61.76     (~P16(f15(a2,a11),f20(a5,f19(a6,a3)))),
% 61.67/61.76     inference(scs_inference,[],[19,37])).
% 61.67/61.76  cnf(87,plain,
% 61.67/61.76     (~P1(a9,a11)),
% 61.67/61.76     inference(scs_inference,[],[5,19,56,37,38])).
% 61.67/61.76  cnf(88,plain,
% 61.67/61.76     (P5(x881,x881)),
% 61.67/61.76     inference(rename_variables,[],[5])).
% 61.67/61.76  cnf(90,plain,
% 61.67/61.76     (~P16(f15(a2,f14(f7(a1,a11),a8)),f20(a5,f19(a6,a3)))),
% 61.67/61.76     inference(scs_inference,[],[5,88,19,69,56,37,38,39])).
% 61.67/61.76  cnf(92,plain,
% 61.67/61.76     (~P1(a11,a9)),
% 61.67/61.76     inference(scs_inference,[],[1,5,88,19,69,56,37,38,39,21])).
% 61.67/61.76  cnf(104,plain,
% 61.67/61.76     (P17(f20(a5,f19(a6,a3)),f14(f7(a1,a9),f18(a10,a13)))),
% 61.67/61.76     inference(scs_inference,[],[2,16,5,17,67,90,92,21,39,51,37])).
% 61.67/61.76  cnf(123,plain,
% 61.67/61.76     (P15(f15(x1231,x1232),f15(x1231,f14(f7(a1,x1232),a8)))),
% 61.67/61.76     inference(scs_inference,[],[16,87,64,2,21,51])).
% 61.67/61.76  cnf(127,plain,
% 61.67/61.76     (P1(f14(f7(a1,f14(f7(a1,a9),a12)),f18(a10,a13)),a11)),
% 61.67/61.76     inference(scs_inference,[],[18,5,1,38,21])).
% 61.67/61.76  cnf(132,plain,
% 61.67/61.76     (~P17(f20(a5,f19(a6,a3)),f14(f7(a1,f14(f7(a1,a9),a12)),f18(a10,a13)))),
% 61.67/61.76     inference(scs_inference,[],[5,19,127,38])).
% 61.67/61.76  cnf(143,plain,
% 61.67/61.76     (P1(f14(x1431,x1432),f14(x1431,f14(f7(a1,x1432),a8)))),
% 61.67/61.76     inference(scs_inference,[],[7,11,14,15,5,19,75,127,92,64,38,21,39,50,49,42])).
% 61.67/61.76  cnf(147,plain,
% 61.67/61.76     (P16(f15(a2,f14(f7(a1,a9),a8)),f20(a5,f19(a6,a3)))),
% 61.67/61.76     inference(scs_inference,[],[5,17,123,39])).
% 61.67/61.76  cnf(149,plain,
% 61.67/61.76     (P5(x1491,x1491)),
% 61.67/61.76     inference(rename_variables,[],[5])).
% 61.67/61.76  cnf(151,plain,
% 61.67/61.76     (~P1(f14(f7(a1,a9),f18(a10,a13)),f14(f7(a1,a11),a8))),
% 61.67/61.76     inference(scs_inference,[],[5,149,57,17,123,104,39,38])).
% 61.67/61.76  cnf(167,plain,
% 61.67/61.76     (P1(f14(f7(a1,f14(f7(a1,a9),a12)),f18(a10,a13)),f14(f7(a1,a11),a8))),
% 61.67/61.76     inference(scs_inference,[],[5,18,64,147,85,39,21])).
% 61.67/61.76  cnf(228,plain,
% 61.67/61.76     (~P1(f14(f7(a1,f14(f7(a1,a9),a12)),f18(a10,a13)),f14(f7(a1,a9),f18(a10,a13)))),
% 61.67/61.76     inference(scs_inference,[],[167,151,21])).
% 61.67/61.76  cnf(278,plain,
% 61.67/61.76     (~P14(f7(a1,f14(f7(a1,a9),a12)),f7(a1,a9))),
% 61.67/61.76     inference(scs_inference,[],[228,1,42])).
% 61.67/61.76  cnf(284,plain,
% 61.67/61.76     (~P14(f7(a1,a9),f7(a1,f14(f7(a1,a9),a12)))),
% 61.67/61.76     inference(scs_inference,[],[278,11,14,50,34])).
% 61.67/61.76  cnf(300,plain,
% 61.67/61.76     (~P1(a9,f14(f7(a1,a9),a12))),
% 61.67/61.76     inference(scs_inference,[],[284,11,50])).
% 61.67/61.76  cnf(340,plain,
% 61.67/61.76     (P1(f14(f7(a1,x3401),f14(f7(a1,a8),a8)),x3401)),
% 61.67/61.76     inference(scs_inference,[],[143,16,21])).
% 61.67/61.76  cnf(344,plain,
% 61.67/61.76     (~P1(f14(f7(a1,a9),f14(f7(a1,a8),a8)),f14(f7(a1,a9),a12))),
% 61.67/61.76     inference(scs_inference,[],[340,300,21])).
% 61.67/61.76  cnf(348,plain,
% 61.67/61.76     (~P1(f14(f7(a1,a8),a8),a12)),
% 61.67/61.76     inference(scs_inference,[],[344,14,42])).
% 61.67/61.76  cnf(358,plain,
% 61.67/61.76     (~P14(f7(a1,a12),f7(a1,a8))),
% 61.67/61.76     inference(scs_inference,[],[348,340,16,21,42])).
% 61.67/61.76  cnf(367,plain,
% 61.67/61.76     (~P14(f7(a1,f14(f7(a1,a12),a8)),f7(a1,a8))),
% 61.67/61.76     inference(scs_inference,[],[358,71,11,50,34])).
% 61.67/61.76  cnf(399,plain,
% 61.67/61.76     (~P1(f14(f7(a1,a12),a8),a8)),
% 61.67/61.76     inference(scs_inference,[],[367,11,50])).
% 61.67/61.76  cnf(405,plain,
% 61.67/61.76     (~P1(f14(f7(a1,a8),f14(f7(a1,a8),a8)),f14(f7(a1,a12),a8))),
% 61.67/61.76     inference(scs_inference,[],[399,340,21])).
% 61.67/61.76  cnf(448,plain,
% 61.67/61.76     (P16(f15(a2,f14(f7(a1,f14(f7(a1,a9),a8)),f18(a10,a13))),f20(a5,f19(a6,a3)))),
% 61.67/61.76     inference(scs_inference,[],[12,147,20,55])).
% 61.67/61.76  cnf(452,plain,
% 61.67/61.76     (~P16(f15(a2,f14(f7(a1,a9),a12)),f20(a5,f19(a6,a3)))),
% 61.67/61.76     inference(scs_inference,[],[132,61,37,55])).
% 61.67/61.76  cnf(453,plain,
% 61.67/61.76     (~P17(f20(a5,f19(a6,a3)),f14(f7(a1,a9),a12))),
% 61.67/61.76     inference(scs_inference,[],[452,36])).
% 61.67/61.76  cnf(455,plain,
% 61.67/61.76     (~P15(f15(a2,a9),f15(a2,f14(f7(a1,a9),a12)))),
% 61.67/61.76     inference(scs_inference,[],[452,17,5,36,39])).
% 61.67/61.76  cnf(469,plain,
% 61.67/61.76     (~P16(f15(a2,f14(f7(a1,f14(f7(a1,a9),a12)),a8)),f20(a5,f19(a6,a3)))),
% 61.67/61.76     inference(scs_inference,[],[453,5,69,37,39])).
% 61.67/61.76  cnf(550,plain,
% 61.67/61.76     (~P17(f22(a16,f24(a17,f14(f7(a1,a9),a12))),a12)),
% 61.67/61.76     inference(scs_inference,[],[1,453,41,53])).
% 61.67/61.76  cnf(1160,plain,
% 61.67/61.76     ($false),
% 61.67/61.76     inference(scs_inference,[],[1,340,77,453,69,71,405,455,448,469,550,11,6,37,36,21,42,50,35,46,52]),
% 61.67/61.76     ['proof']).
% 61.67/61.76  % SZS output end Proof
% 61.67/61.76  % Total time :61.130000s
%------------------------------------------------------------------------------