TSTP Solution File: SYN677-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN677-1 : 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 : n032.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 01:46:54 EDT 2023
% Result : Unsatisfiable 1.69s 1.82s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN677-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 17:06:29 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.49 start to proof:theBenchmark
% 1.69/1.80 %-------------------------------------------
% 1.69/1.80 % File :CSE---1.6
% 1.69/1.80 % Problem :theBenchmark
% 1.69/1.80 % Transform :cnf
% 1.69/1.80 % Format :tptp:raw
% 1.69/1.80 % Command :java -jar mcs_scs.jar %d %s
% 1.69/1.80
% 1.69/1.80 % Result :Theorem 1.270000s
% 1.69/1.80 % Output :CNFRefutation 1.270000s
% 1.69/1.80 %-------------------------------------------
% 1.69/1.81 %--------------------------------------------------------------------------
% 1.69/1.81 % File : SYN677-1 : TPTP v8.1.2. Released v2.5.0.
% 1.69/1.81 % Domain : Syntactic
% 1.69/1.81 % Problem : Harrison problem 4556
% 1.69/1.81 % Version : Especial.
% 1.69/1.81 % English :
% 1.69/1.81
% 1.69/1.81 % Refs : [Har01] Email to G. Sutcliffe
% 1.69/1.81 % Source : [Har01]
% 1.69/1.81 % Names :
% 1.69/1.81
% 1.69/1.81 % Status : Unsatisfiable
% 1.69/1.81 % Rating : 0.14 v8.1.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v2.5.0
% 1.69/1.81 % Syntax : Number of clauses : 55 ( 24 unt; 2 nHn; 45 RR)
% 1.69/1.81 % Number of literals : 118 ( 0 equ; 63 neg)
% 1.69/1.81 % Maximal clause size : 5 ( 2 avg)
% 1.69/1.81 % Maximal term depth : 6 ( 1 avg)
% 1.69/1.81 % Number of predicates : 15 ( 15 usr; 0 prp; 1-3 aty)
% 1.69/1.81 % Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% 1.69/1.81 % Number of variables : 110 ( 3 sgn)
% 1.69/1.81 % SPC : CNF_UNS_RFO_NEQ_NHN
% 1.69/1.81
% 1.69/1.81 % Comments :
% 1.69/1.81 %--------------------------------------------------------------------------
% 1.69/1.81 cnf(c28_is_p22_1,negated_conjecture,
% 1.69/1.81 p22(c28) ).
% 1.69/1.81
% 1.69/1.81 cnf(p10_2,negated_conjecture,
% 1.69/1.81 p10(X0,X0) ).
% 1.69/1.81
% 1.69/1.81 cnf(p7_3,negated_conjecture,
% 1.69/1.81 p7(X91,X91) ).
% 1.69/1.81
% 1.69/1.81 cnf(p6_4,negated_conjecture,
% 1.69/1.81 p6(X88,X88) ).
% 1.69/1.81
% 1.69/1.81 cnf(p3_5,negated_conjecture,
% 1.69/1.81 p3(X83,X83) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_6,negated_conjecture,
% 1.69/1.81 p2(X35,X35) ).
% 1.69/1.81
% 1.69/1.81 cnf(p19_7,negated_conjecture,
% 1.69/1.81 p19(X28,X28) ).
% 1.69/1.81
% 1.69/1.81 cnf(p18_8,negated_conjecture,
% 1.69/1.81 p18(X25,X25) ).
% 1.69/1.81
% 1.69/1.81 cnf(p14_9,negated_conjecture,
% 1.69/1.81 p14(X18,X18) ).
% 1.69/1.81
% 1.69/1.81 cnf(p12_10,negated_conjecture,
% 1.69/1.81 p12(X11,X11) ).
% 1.69/1.81
% 1.69/1.81 cnf(p25_11,negated_conjecture,
% 1.69/1.81 p25(c36,c33) ).
% 1.69/1.81
% 1.69/1.81 cnf(p25_12,negated_conjecture,
% 1.69/1.81 p25(c32,c33) ).
% 1.69/1.81
% 1.69/1.81 cnf(p25_13,negated_conjecture,
% 1.69/1.81 p25(c32,c36) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_14,negated_conjecture,
% 1.69/1.81 p2(c32,f9(c31)) ).
% 1.69/1.81
% 1.69/1.81 cnf(p7_15,negated_conjecture,
% 1.69/1.81 p7(f8(c29),c30) ).
% 1.69/1.81
% 1.69/1.81 cnf(p26_16,negated_conjecture,
% 1.69/1.81 p26(f20(c28,c37),c34) ).
% 1.69/1.81
% 1.69/1.81 cnf(p26_17,negated_conjecture,
% 1.69/1.81 p26(f20(c28,c35),c34) ).
% 1.69/1.81
% 1.69/1.81 cnf(p23_18,negated_conjecture,
% 1.69/1.81 p23(c28,f4(f5(X66)),f4(X66)) ).
% 1.69/1.81
% 1.69/1.81 cnf(not_p2_19,negated_conjecture,
% 1.69/1.81 ~ p2(X96,f16(X96,f9(f17(c31)))) ).
% 1.69/1.81
% 1.69/1.81 cnf(p22_20,negated_conjecture,
% 1.69/1.81 ( p22(X58)
% 1.69/1.81 | ~ p22(X59)
% 1.69/1.81 | ~ p18(X59,X58) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_21,negated_conjecture,
% 1.69/1.81 ( p2(f17(X48),f17(X49))
% 1.69/1.81 | ~ p2(X48,X49) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p7_22,negated_conjecture,
% 1.69/1.81 ( p7(f8(X94),f8(X95))
% 1.69/1.81 | ~ p6(X94,X95) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p3_23,negated_conjecture,
% 1.69/1.81 ( p3(f4(X86),f4(X87))
% 1.69/1.81 | ~ p2(X86,X87) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_24,negated_conjecture,
% 1.69/1.81 ( p2(f9(X56),f9(X57))
% 1.69/1.81 | ~ p2(X56,X57) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_25,negated_conjecture,
% 1.69/1.81 ( p2(f5(X54),f5(X55))
% 1.69/1.81 | ~ p2(X54,X55) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p10_26,negated_conjecture,
% 1.69/1.81 ( p10(X1,X2)
% 1.69/1.81 | ~ p10(X0,X1)
% 1.69/1.81 | ~ p10(X0,X2) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p7_27,negated_conjecture,
% 1.69/1.81 ( p7(X92,X93)
% 1.69/1.81 | ~ p7(X91,X92)
% 1.69/1.81 | ~ p7(X91,X93) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p6_28,negated_conjecture,
% 1.69/1.81 ( p6(X89,X90)
% 1.69/1.81 | ~ p6(X88,X89)
% 1.69/1.81 | ~ p6(X88,X90) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p3_29,negated_conjecture,
% 1.69/1.81 ( p3(X84,X85)
% 1.69/1.81 | ~ p3(X83,X84)
% 1.69/1.81 | ~ p3(X83,X85) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_30,negated_conjecture,
% 1.69/1.81 ( p2(X36,X37)
% 1.69/1.81 | ~ p2(X35,X36)
% 1.69/1.81 | ~ p2(X35,X37) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p19_31,negated_conjecture,
% 1.69/1.81 ( p19(X29,X30)
% 1.69/1.81 | ~ p19(X28,X29)
% 1.69/1.81 | ~ p19(X28,X30) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p18_32,negated_conjecture,
% 1.69/1.81 ( p18(X26,X27)
% 1.69/1.81 | ~ p18(X25,X26)
% 1.69/1.81 | ~ p18(X25,X27) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p14_33,negated_conjecture,
% 1.69/1.81 ( p14(X19,X20)
% 1.69/1.81 | ~ p14(X18,X19)
% 1.69/1.81 | ~ p14(X18,X20) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p12_34,negated_conjecture,
% 1.69/1.81 ( p12(X12,X13)
% 1.69/1.81 | ~ p12(X11,X12)
% 1.69/1.81 | ~ p12(X11,X13) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p27_35,negated_conjecture,
% 1.69/1.81 ( p27(X79,X80)
% 1.69/1.81 | ~ p2(X82,X80)
% 1.69/1.81 | ~ p27(X81,X82)
% 1.69/1.81 | ~ p2(X81,X79) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p24_36,negated_conjecture,
% 1.69/1.81 ( p24(X67,X68)
% 1.69/1.81 | ~ p14(X70,X67)
% 1.69/1.81 | ~ p24(X70,X69)
% 1.69/1.81 | ~ p12(X69,X68) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p25_37,negated_conjecture,
% 1.69/1.81 ( p25(X71,X72)
% 1.69/1.81 | ~ p2(X74,X72)
% 1.69/1.81 | ~ p25(X73,X74)
% 1.69/1.81 | ~ p2(X73,X71) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p26_38,negated_conjecture,
% 1.69/1.81 ( p26(X75,X76)
% 1.69/1.81 | ~ p19(X78,X75)
% 1.69/1.81 | ~ p26(X78,X77)
% 1.69/1.81 | ~ p10(X77,X76) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_39,negated_conjecture,
% 1.69/1.81 p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_40,negated_conjecture,
% 1.69/1.81 p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))) ).
% 1.69/1.81
% 1.69/1.81 cnf(p27_41,negated_conjecture,
% 1.69/1.81 p27(f11(f4(c36),c37),f11(f4(f21(c36,f9(f17(c31)))),c37)) ).
% 1.69/1.81
% 1.69/1.81 cnf(p27_42,negated_conjecture,
% 1.69/1.81 p27(f11(f4(c33),c35),f11(f4(f21(c33,f9(f17(c31)))),c35)) ).
% 1.69/1.81
% 1.69/1.81 cnf(not_p2_43,negated_conjecture,
% 1.69/1.81 ~ p2(f11(f4(f21(c32,f9(f17(c31)))),c34),f11(f4(c32),c34)) ).
% 1.69/1.81
% 1.69/1.81 cnf(p2_44,negated_conjecture,
% 1.69/1.81 ( p2(f21(X50,X51),f21(X52,X53))
% 1.69/1.81 | ~ p2(X50,X52)
% 1.69/1.81 | ~ p2(X51,X53) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p12_45,negated_conjecture,
% 1.69/1.81 ( p12(f13(X14,X15),f13(X16,X17))
% 1.69/1.81 | ~ p10(X14,X16)
% 1.69/1.81 | ~ p2(X15,X17) ) ).
% 1.69/1.81
% 1.69/1.81 cnf(p14_46,negated_conjecture,
% 1.69/1.82 ( p14(f15(X21,X22),f15(X23,X24))
% 1.69/1.82 | ~ p12(X22,X24)
% 1.69/1.82 | ~ p7(X21,X23) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p19_47,negated_conjecture,
% 1.69/1.82 ( p19(f20(X31,X32),f20(X33,X34))
% 1.69/1.82 | ~ p10(X32,X34)
% 1.69/1.82 | ~ p18(X31,X33) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p2_48,negated_conjecture,
% 1.69/1.82 ( p2(f11(X38,X39),f11(X40,X41))
% 1.69/1.82 | ~ p10(X39,X41)
% 1.69/1.82 | ~ p3(X38,X40) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p2_49,negated_conjecture,
% 1.69/1.82 ( p2(f16(X44,X45),f16(X46,X47))
% 1.69/1.82 | ~ p2(X44,X46)
% 1.69/1.82 | ~ p2(X45,X47) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p2_50,negated_conjecture,
% 1.69/1.82 ( p2(f11(f4(X42),c34),f11(f4(c32),c34))
% 1.69/1.82 | ~ p25(X42,c33)
% 1.69/1.82 | ~ p25(c32,X42) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p2_51,negated_conjecture,
% 1.69/1.82 ( p2(f11(f4(X43),c34),f11(f4(c32),c34))
% 1.69/1.82 | ~ p25(X43,c36)
% 1.69/1.82 | ~ p25(c32,X43) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p10_52,negated_conjecture,
% 1.69/1.82 ( p10(X7,X8)
% 1.69/1.82 | p26(f20(c28,X7),X8)
% 1.69/1.82 | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p23_53,negated_conjecture,
% 1.69/1.82 ( p23(X60,X61,X62)
% 1.69/1.82 | ~ p3(X65,X62)
% 1.69/1.82 | ~ p3(X64,X61)
% 1.69/1.82 | ~ p18(X63,X60)
% 1.69/1.82 | ~ p23(X63,X64,X65) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p10_54,negated_conjecture,
% 1.69/1.82 ( p10(X3,X4)
% 1.69/1.82 | ~ p2(f11(f4(X5),X3),f9(c31))
% 1.69/1.82 | ~ p24(f15(c30,f13(X3,X5)),f13(X4,X6)) ) ).
% 1.69/1.82
% 1.69/1.82 cnf(p26_55,negated_conjecture,
% 1.69/1.82 ( p26(f20(c28,X7),X8)
% 1.69/1.82 | p25(f11(f4(X9),X8),f11(f4(X10),X8))
% 1.69/1.82 | ~ p24(f15(c30,f13(X7,X9)),f13(X8,X10)) ) ).
% 1.69/1.82
% 1.69/1.82 %--------------------------------------------------------------------------
% 1.69/1.82 %-------------------------------------------
% 1.69/1.82 % Proof found
% 1.69/1.82 % SZS status Theorem for theBenchmark
% 1.69/1.82 % SZS output start Proof
% 1.69/1.82 %ClaNum:55(EqnAxiom:0)
% 1.69/1.82 %VarNum:224(SingletonVarNum:110)
% 1.69/1.82 %MaxLitNum:5
% 1.69/1.82 %MaxfuncDepth:5
% 1.69/1.82 %SharedTerms:48
% 1.69/1.82 %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
% 1.69/1.82 %singleGoalClaCount:24
% 1.69/1.82 [1]P1(a1)
% 1.69/1.82 [2]P8(a2,a3)
% 1.69/1.82 [3]P8(a4,a2)
% 1.69/1.82 [4]P8(a4,a3)
% 1.69/1.82 [14]P3(a4,f10(a5))
% 1.69/1.82 [15]P11(f11(a6),a7)
% 1.69/1.82 [16]P14(f13(a1,a12),a8)
% 1.69/1.82 [17]P14(f13(a1,a9),a8)
% 1.69/1.82 [19]P3(f14(f20(a4),a8),f16(f14(f20(a2),a8),f10(f15(a5))))
% 1.69/1.82 [20]P3(f14(f20(a4),a8),f16(f14(f20(a3),a8),f10(f15(a5))))
% 1.69/1.82 [21]P15(f14(f20(a2),a12),f14(f20(f21(a2,f10(f15(a5)))),a12))
% 1.69/1.82 [22]P15(f14(f20(a3),a9),f14(f20(f21(a3,f10(f15(a5)))),a9))
% 1.69/1.82 [24]~P3(f14(f20(f21(a4,f10(f15(a5)))),a8),f14(f20(a4),a8))
% 1.69/1.82 [5]P2(x51,x51)
% 1.69/1.82 [6]P11(x61,x61)
% 1.69/1.82 [7]P12(x71,x71)
% 1.69/1.82 [8]P13(x81,x81)
% 1.69/1.82 [9]P3(x91,x91)
% 1.69/1.82 [10]P4(x101,x101)
% 1.69/1.82 [11]P5(x111,x111)
% 1.69/1.82 [12]P6(x121,x121)
% 1.69/1.82 [13]P7(x131,x131)
% 1.69/1.82 [18]P9(a1,f20(f19(x181)),f20(x181))
% 1.69/1.82 [23]~P3(x231,f16(x231,f10(f15(a5))))
% 1.69/1.82 [26]~P12(x261,x262)+P11(f11(x261),f11(x262))
% 1.69/1.82 [27]~P3(x271,x272)+P13(f20(x271),f20(x272))
% 1.69/1.82 [28]~P3(x281,x282)+P3(f10(x281),f10(x282))
% 1.69/1.82 [29]~P3(x291,x292)+P3(f19(x291),f19(x292))
% 1.69/1.82 [30]~P3(x301,x302)+P3(f15(x301),f15(x302))
% 1.69/1.82 [50]~P8(x501,a2)+~P8(a4,x501)+P3(f14(f20(x501),a8),f14(f20(a4),a8))
% 1.69/1.82 [51]~P8(x511,a3)+~P8(a4,x511)+P3(f14(f20(x511),a8),f14(f20(a4),a8))
% 1.69/1.82 [25]~P5(x252,x251)+P1(x251)+~P1(x252)
% 1.69/1.82 [31]~P2(x313,x311)+P2(x311,x312)+~P2(x313,x312)
% 1.69/1.82 [32]~P11(x323,x321)+P11(x321,x322)+~P11(x323,x322)
% 1.69/1.82 [33]~P12(x333,x331)+P12(x331,x332)+~P12(x333,x332)
% 1.69/1.82 [34]~P13(x343,x341)+P13(x341,x342)+~P13(x343,x342)
% 1.69/1.82 [35]~P3(x353,x351)+P3(x351,x352)+~P3(x353,x352)
% 1.69/1.82 [36]~P4(x363,x361)+P4(x361,x362)+~P4(x363,x362)
% 1.69/1.82 [37]~P5(x373,x371)+P5(x371,x372)+~P5(x373,x372)
% 1.69/1.82 [38]~P6(x383,x381)+P6(x381,x382)+~P6(x383,x382)
% 1.69/1.82 [39]~P7(x393,x391)+P7(x391,x392)+~P7(x393,x392)
% 1.69/1.82 [44]~P3(x442,x444)+~P3(x441,x443)+P3(f16(x441,x442),f16(x443,x444))
% 1.69/1.82 [45]~P2(x452,x454)+~P13(x451,x453)+P3(f14(x451,x452),f14(x453,x454))
% 1.69/1.82 [46]~P3(x462,x464)+~P3(x461,x463)+P3(f21(x461,x462),f21(x463,x464))
% 1.69/1.82 [47]~P2(x472,x474)+~P5(x471,x473)+P4(f13(x471,x472),f13(x473,x474))
% 1.69/1.82 [48]~P11(x481,x483)+~P7(x482,x484)+P6(f17(x481,x482),f17(x483,x484))
% 1.69/1.82 [49]~P2(x491,x493)+~P3(x492,x494)+P7(f18(x491,x492),f18(x493,x494))
% 1.69/1.82 [53]P2(x531,x532)+P14(f13(a1,x531),x532)+~P10(f17(a7,f18(x531,x533)),f18(x532,x534))
% 1.69/1.82 [54]P2(x541,x542)+~P10(f17(a7,f18(x541,x543)),f18(x542,x544))+~P3(f14(f20(x543),x541),f10(a5))
% 1.69/1.82 [55]P14(f13(a1,x551),x552)+P8(f14(f20(x553),x552),f14(f20(x554),x552))+~P10(f17(a7,f18(x551,x553)),f18(x552,x554))
% 1.69/1.82 [40]~P8(x403,x404)+P8(x401,x402)+~P3(x403,x401)+~P3(x404,x402)
% 1.69/1.82 [41]~P14(x414,x413)+P14(x411,x412)+~P2(x413,x412)+~P4(x414,x411)
% 1.69/1.82 [42]~P15(x423,x424)+P15(x421,x422)+~P3(x423,x421)+~P3(x424,x422)
% 1.69/1.82 [43]~P10(x433,x434)+P10(x431,x432)+~P6(x433,x431)+~P7(x434,x432)
% 1.69/1.82 [52]~P9(x526,x524,x525)+P9(x521,x522,x523)+~P13(x524,x522)+~P13(x525,x523)+~P5(x526,x521)
% 1.69/1.82 %EqnAxiom
% 1.69/1.82
% 1.69/1.82 %-------------------------------------------
% 1.69/1.82 cnf(58,plain,
% 1.69/1.82 (P3(f15(a4),f15(f10(a5)))),
% 1.69/1.82 inference(scs_inference,[],[5,14,24,45,30])).
% 1.69/1.82 cnf(62,plain,
% 1.69/1.82 (P3(f10(a4),f10(f10(a5)))),
% 1.69/1.82 inference(scs_inference,[],[5,14,24,45,30,29,28])).
% 1.69/1.82 cnf(69,plain,
% 1.69/1.82 (P3(f14(f20(a2),a8),f14(f20(a4),a8))),
% 1.69/1.82 inference(scs_inference,[],[5,2,3,14,24,23,45,30,29,28,27,35,51])).
% 1.69/1.82 cnf(81,plain,
% 1.69/1.82 (~P13(x811,f20(a4))+~P13(x811,f20(f21(a4,f10(f15(a5)))))),
% 1.69/1.82 inference(scs_inference,[],[5,8,11,13,2,3,4,14,15,24,18,23,45,30,29,28,27,35,51,50,48,46,44,52,34])).
% 1.69/1.82 cnf(89,plain,
% 1.69/1.82 (~P13(f20(a4),f20(f21(a4,f10(f15(a5)))))),
% 1.69/1.82 inference(scs_inference,[],[8,81])).
% 1.69/1.82 cnf(119,plain,
% 1.69/1.82 (P3(f16(f14(f20(a2),a8),f10(f15(a5))),f14(f20(a4),a8))),
% 1.69/1.82 inference(scs_inference,[],[19,15,6,9,32,27,35])).
% 1.69/1.82 cnf(135,plain,
% 1.69/1.82 (P3(f16(f14(f20(a4),a8),x1351),f16(f16(f14(f20(a2),a8),f10(f15(a5))),x1351))),
% 1.69/1.82 inference(scs_inference,[],[19,9,89,27,44])).
% 1.69/1.82 cnf(137,plain,
% 1.69/1.82 (~P3(f14(f20(a4),a8),f16(f16(f14(f20(a2),a8),f10(f15(a5))),f10(f15(a5))))),
% 1.69/1.82 inference(scs_inference,[],[19,23,9,89,27,44,35])).
% 1.69/1.82 cnf(218,plain,
% 1.69/1.82 (~P3(f16(f16(f14(f20(a2),a8),f10(f15(a5))),f10(f15(a5))),f14(f20(a4),a8))),
% 1.69/1.82 inference(scs_inference,[],[62,9,137,44,35])).
% 1.69/1.82 cnf(690,plain,
% 1.69/1.82 (~P3(f16(f14(f20(a4),a8),f10(f15(a5))),f14(f20(a4),a8))),
% 1.69/1.82 inference(scs_inference,[],[135,218,35])).
% 1.69/1.82 cnf(698,plain,
% 1.69/1.82 (~P3(f16(f14(f20(a2),a8),f10(f15(a5))),f16(f14(f20(a4),a8),f10(f15(a5))))),
% 1.69/1.82 inference(scs_inference,[],[119,690,35])).
% 1.69/1.82 cnf(735,plain,
% 1.69/1.82 ($false),
% 1.69/1.82 inference(scs_inference,[],[58,69,698,9,46,44]),
% 1.69/1.82 ['proof']).
% 1.69/1.82 % SZS output end Proof
% 1.69/1.82 % Total time :1.270000s
%------------------------------------------------------------------------------