TSTP Solution File: SYN686-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN686-1 : 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 : n022.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 01:46:57 EDT 2023
% Result : Unsatisfiable 0.22s 0.62s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN686-1 : 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
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 21:01:10 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 start to proof:theBenchmark
% 0.22/0.61 %-------------------------------------------
% 0.22/0.61 % File :CSE---1.6
% 0.22/0.61 % Problem :theBenchmark
% 0.22/0.61 % Transform :cnf
% 0.22/0.61 % Format :tptp:raw
% 0.22/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.61
% 0.22/0.61 % Result :Theorem 0.060000s
% 0.22/0.61 % Output :CNFRefutation 0.060000s
% 0.22/0.61 %-------------------------------------------
% 0.22/0.61 %--------------------------------------------------------------------------
% 0.22/0.61 % File : SYN686-1 : TPTP v8.1.2. Released v2.5.0.
% 0.22/0.61 % Domain : Syntactic
% 0.22/0.61 % Problem : Harrison problem 4589
% 0.22/0.61 % Version : Especial.
% 0.22/0.61 % English :
% 0.22/0.61
% 0.22/0.61 % Refs : [Har01] Email to G. Sutcliffe
% 0.22/0.61 % Source : [Har01]
% 0.22/0.61 % Names :
% 0.22/0.61
% 0.22/0.61 % Status : Unsatisfiable
% 0.22/0.61 % Rating : 0.00 v5.4.0, 0.10 v5.3.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v2.5.0
% 0.22/0.61 % Syntax : Number of clauses : 58 ( 22 unt; 1 nHn; 42 RR)
% 0.22/0.61 % Number of literals : 131 ( 0 equ; 73 neg)
% 0.22/0.61 % Maximal clause size : 4 ( 2 avg)
% 0.22/0.61 % Maximal term depth : 6 ( 1 avg)
% 0.22/0.61 % Number of predicates : 18 ( 18 usr; 0 prp; 2-2 aty)
% 0.22/0.61 % Number of functors : 26 ( 26 usr; 14 con; 0-2 aty)
% 0.22/0.61 % Number of variables : 134 ( 0 sgn)
% 0.22/0.61 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.22/0.61
% 0.22/0.61 % Comments :
% 0.22/0.61 %--------------------------------------------------------------------------
% 0.22/0.61 cnf(p11_1,negated_conjecture,
% 0.22/0.61 p11(X0,X0) ).
% 0.22/0.61
% 0.22/0.61 cnf(p9_2,negated_conjecture,
% 0.22/0.61 p9(X102,X102) ).
% 0.22/0.61
% 0.22/0.61 cnf(p8_3,negated_conjecture,
% 0.22/0.61 p8(X91,X91) ).
% 0.22/0.61
% 0.22/0.61 cnf(p6_4,negated_conjecture,
% 0.22/0.61 p6(X88,X88) ).
% 0.22/0.61
% 0.22/0.61 cnf(p4_5,negated_conjecture,
% 0.22/0.61 p4(X81,X81) ).
% 0.22/0.61
% 0.22/0.61 cnf(p3_6,negated_conjecture,
% 0.22/0.61 p3(X57,X57) ).
% 0.22/0.61
% 0.22/0.61 cnf(p28_7,negated_conjecture,
% 0.22/0.61 p28(X54,X54) ).
% 0.22/0.61
% 0.22/0.61 cnf(p26_8,negated_conjecture,
% 0.22/0.61 p26(X47,X47) ).
% 0.22/0.61
% 0.22/0.61 cnf(p24_9,negated_conjecture,
% 0.22/0.61 p24(X44,X44) ).
% 0.22/0.61
% 0.22/0.61 cnf(p22_10,negated_conjecture,
% 0.22/0.61 p22(X37,X37) ).
% 0.22/0.61
% 0.22/0.61 cnf(p20_11,negated_conjecture,
% 0.22/0.61 p20(X34,X34) ).
% 0.22/0.61
% 0.22/0.61 cnf(p2_12,negated_conjecture,
% 0.22/0.61 p2(X27,X27) ).
% 0.22/0.61
% 0.22/0.61 cnf(p18_13,negated_conjecture,
% 0.22/0.61 p18(X20,X20) ).
% 0.22/0.61
% 0.22/0.61 cnf(p16_14,negated_conjecture,
% 0.22/0.61 p16(X13,X13) ).
% 0.22/0.61
% 0.22/0.61 cnf(p14_15,negated_conjecture,
% 0.22/0.61 p14(X6,X6) ).
% 0.22/0.61
% 0.22/0.61 cnf(p13_16,negated_conjecture,
% 0.22/0.61 p13(X3,X3) ).
% 0.22/0.61
% 0.22/0.61 cnf(p3_17,negated_conjecture,
% 0.22/0.61 p3(c36,f7(c33,c34)) ).
% 0.22/0.61
% 0.22/0.61 cnf(p3_18,negated_conjecture,
% 0.22/0.61 p3(c42,f7(c33,c34)) ).
% 0.22/0.61
% 0.22/0.61 cnf(p4_19,negated_conjecture,
% 0.22/0.61 p4(f5(c32,c36),c37) ).
% 0.22/0.61
% 0.22/0.61 cnf(p4_20,negated_conjecture,
% 0.22/0.61 p4(f5(c32,f7(c33,c34)),c35) ).
% 0.22/0.61
% 0.22/0.61 cnf(p30_21,negated_conjecture,
% 0.22/0.61 p30(f10(f12(c39,c36),c37),c41) ).
% 0.22/0.61
% 0.22/0.61 cnf(not_p30_22,negated_conjecture,
% 0.22/0.61 ~ p30(f10(f12(c39,f7(c33,c34)),c35),c41) ).
% 0.22/0.61
% 0.22/0.61 cnf(p11_23,negated_conjecture,
% 0.22/0.61 ( p11(X1,X2)
% 0.22/0.61 | ~ p11(X0,X1)
% 0.22/0.61 | ~ p11(X0,X2) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p9_24,negated_conjecture,
% 0.22/0.61 ( p9(X103,X104)
% 0.22/0.61 | ~ p9(X102,X103)
% 0.22/0.61 | ~ p9(X102,X104) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p8_25,negated_conjecture,
% 0.22/0.61 ( p8(X92,X93)
% 0.22/0.61 | ~ p8(X91,X92)
% 0.22/0.61 | ~ p8(X91,X93) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p6_26,negated_conjecture,
% 0.22/0.61 ( p6(X89,X90)
% 0.22/0.61 | ~ p6(X88,X89)
% 0.22/0.61 | ~ p6(X88,X90) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p4_27,negated_conjecture,
% 0.22/0.61 ( p4(X82,X83)
% 0.22/0.61 | ~ p4(X81,X82)
% 0.22/0.61 | ~ p4(X81,X83) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p3_28,negated_conjecture,
% 0.22/0.61 ( p3(X58,X59)
% 0.22/0.61 | ~ p3(X57,X58)
% 0.22/0.61 | ~ p3(X57,X59) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p28_29,negated_conjecture,
% 0.22/0.61 ( p28(X55,X56)
% 0.22/0.61 | ~ p28(X54,X55)
% 0.22/0.61 | ~ p28(X54,X56) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p26_30,negated_conjecture,
% 0.22/0.61 ( p26(X48,X49)
% 0.22/0.61 | ~ p26(X47,X49)
% 0.22/0.61 | ~ p26(X47,X48) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p24_31,negated_conjecture,
% 0.22/0.61 ( p24(X45,X46)
% 0.22/0.61 | ~ p24(X44,X45)
% 0.22/0.61 | ~ p24(X44,X46) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p22_32,negated_conjecture,
% 0.22/0.61 ( p22(X38,X39)
% 0.22/0.61 | ~ p22(X37,X38)
% 0.22/0.61 | ~ p22(X37,X39) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p20_33,negated_conjecture,
% 0.22/0.61 ( p20(X35,X36)
% 0.22/0.61 | ~ p20(X34,X35)
% 0.22/0.61 | ~ p20(X34,X36) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p2_34,negated_conjecture,
% 0.22/0.61 ( p2(X28,X29)
% 0.22/0.61 | ~ p2(X27,X28)
% 0.22/0.61 | ~ p2(X27,X29) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p18_35,negated_conjecture,
% 0.22/0.61 ( p18(X21,X22)
% 0.22/0.61 | ~ p18(X20,X21)
% 0.22/0.61 | ~ p18(X20,X22) ) ).
% 0.22/0.61
% 0.22/0.61 cnf(p16_36,negated_conjecture,
% 0.22/0.62 ( p16(X14,X15)
% 0.22/0.62 | ~ p16(X13,X14)
% 0.22/0.62 | ~ p16(X13,X15) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p14_37,negated_conjecture,
% 0.22/0.62 ( p14(X7,X8)
% 0.22/0.62 | ~ p14(X6,X7)
% 0.22/0.62 | ~ p14(X6,X8) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p13_38,negated_conjecture,
% 0.22/0.62 ( p13(X4,X5)
% 0.22/0.62 | ~ p13(X3,X4)
% 0.22/0.62 | ~ p13(X3,X5) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p30_39,negated_conjecture,
% 0.22/0.62 ( p30(X68,X69)
% 0.22/0.62 | ~ p4(X71,X69)
% 0.22/0.62 | ~ p9(X70,X68)
% 0.22/0.62 | ~ p30(X70,X71) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p31_40,negated_conjecture,
% 0.22/0.62 ( p31(X77,X78)
% 0.22/0.62 | ~ p3(X80,X78)
% 0.22/0.62 | ~ p31(X79,X80)
% 0.22/0.62 | ~ p14(X79,X77) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p9_41,negated_conjecture,
% 0.22/0.62 ( p9(f10(X105,X106),f10(X107,X108))
% 0.22/0.62 | ~ p4(X106,X108)
% 0.22/0.62 | ~ p8(X105,X107) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p14_42,negated_conjecture,
% 0.22/0.62 ( p14(f15(X9,X10),f15(X11,X12))
% 0.22/0.62 | ~ p13(X9,X11)
% 0.22/0.62 | ~ p3(X10,X12) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p16_43,negated_conjecture,
% 0.22/0.62 ( p16(f19(X16,X17),f19(X18,X19))
% 0.22/0.62 | ~ p18(X16,X18)
% 0.22/0.62 | ~ p4(X17,X19) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p18_44,negated_conjecture,
% 0.22/0.62 ( p18(f21(X23,X24),f21(X25,X26))
% 0.22/0.62 | ~ p20(X23,X25)
% 0.22/0.62 | ~ p4(X24,X26) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p2_45,negated_conjecture,
% 0.22/0.62 ( p2(f27(X30,X31),f27(X32,X33))
% 0.22/0.62 | ~ p26(X30,X32)
% 0.22/0.62 | ~ p4(X31,X33) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p22_46,negated_conjecture,
% 0.22/0.62 ( p22(f25(X40,X41),f25(X42,X43))
% 0.22/0.62 | ~ p24(X40,X42)
% 0.22/0.62 | ~ p3(X41,X43) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p26_47,negated_conjecture,
% 0.22/0.62 ( p26(f29(X50,X51),f29(X52,X53))
% 0.22/0.62 | ~ p28(X50,X52)
% 0.22/0.62 | ~ p4(X51,X53) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p3_48,negated_conjecture,
% 0.22/0.62 ( p3(f17(X60,X61),f17(X62,X63))
% 0.22/0.62 | ~ p16(X60,X62)
% 0.22/0.62 | ~ p2(X61,X63) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p3_49,negated_conjecture,
% 0.22/0.62 ( p3(f7(X64,X65),f7(X66,X67))
% 0.22/0.62 | ~ p3(X65,X67)
% 0.22/0.62 | ~ p6(X64,X66) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p4_50,negated_conjecture,
% 0.22/0.62 ( p4(f5(X84,X85),f5(X86,X87))
% 0.22/0.62 | ~ p2(X84,X86)
% 0.22/0.62 | ~ p3(X85,X87) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p8_51,negated_conjecture,
% 0.22/0.62 ( p8(f12(X94,X95),f12(X96,X97))
% 0.22/0.62 | ~ p11(X94,X96)
% 0.22/0.62 | ~ p3(X95,X97) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p8_52,negated_conjecture,
% 0.22/0.62 ( p8(f23(X98,X99),f23(X100,X101))
% 0.22/0.62 | ~ p11(X99,X101)
% 0.22/0.62 | ~ p22(X98,X100) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p4_53,negated_conjecture,
% 0.22/0.62 ( p4(f5(f27(f29(c45,X74),X75),c36),X75)
% 0.22/0.62 | ~ p30(f10(f23(f25(c43,c36),c39),X74),X75) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p30_54,negated_conjecture,
% 0.22/0.62 ( p30(f10(f12(c39,X72),f5(c32,X72)),f5(c32,f7(c40,X72)))
% 0.22/0.62 | ~ p31(f15(c38,X72),c36) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p4_55,negated_conjecture,
% 0.22/0.62 ( p4(f5(f27(f29(c45,X74),X75),f7(c33,c34)),X74)
% 0.22/0.62 | ~ p30(f10(f23(f25(c43,c36),c39),X74),X75) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p30_56,negated_conjecture,
% 0.22/0.62 ( p30(f10(f23(f25(c43,c36),c39),X74),X75)
% 0.22/0.62 | p31(f15(c38,f17(f19(f21(c44,X74),X75),X76)),c36)
% 0.22/0.62 | ~ p4(f5(X76,c36),X75)
% 0.22/0.62 | ~ p4(f5(X76,f7(c33,c34)),X74) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p30_57,negated_conjecture,
% 0.22/0.62 ( p30(f10(f12(c39,X73),f5(f27(f29(c45,X74),X75),X73)),f5(f27(f29(c45,X74),X75),f7(c40,X73)))
% 0.22/0.62 | ~ p31(f15(c38,X73),c36)
% 0.22/0.62 | ~ p30(f10(f23(f25(c43,c36),c39),X74),X75) ) ).
% 0.22/0.62
% 0.22/0.62 cnf(p30_58,negated_conjecture,
% 0.22/0.62 ( p30(f10(f23(f25(c43,c36),c39),X74),X75)
% 0.22/0.62 | ~ p4(f5(X76,c36),X75)
% 0.22/0.62 | ~ p4(f5(X76,f7(c33,c34)),X74)
% 0.22/0.62 | ~ p30(f10(f12(c39,f17(f19(f21(c44,X74),X75),X76)),f5(X76,f17(f19(f21(c44,X74),X75),X76))),f5(X76,f7(c40,f17(f19(f21(c44,X74),X75),X76)))) ) ).
% 0.22/0.62
% 0.22/0.62 %--------------------------------------------------------------------------
% 0.22/0.62 %-------------------------------------------
% 0.22/0.62 % Proof found
% 0.22/0.62 % SZS status Theorem for theBenchmark
% 0.22/0.62 % SZS output start Proof
% 0.22/0.62 %ClaNum:58(EqnAxiom:0)
% 0.22/0.62 %VarNum:290(SingletonVarNum:134)
% 0.22/0.62 %MaxLitNum:4
% 0.22/0.62 %MaxfuncDepth:5
% 0.22/0.62 %SharedTerms:29
% 0.22/0.62 %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 56 57 58
% 0.22/0.62 %singleGoalClaCount:22
% 0.22/0.62 [17]P6(a1,f6(a2,a4))
% 0.22/0.62 [18]P6(a7,f6(a2,a4))
% 0.22/0.62 [19]P5(f13(a3,a1),a8)
% 0.22/0.62 [20]P5(f13(a3,f6(a2,a4)),a5)
% 0.22/0.62 [21]P17(f15(f14(a9,a1),a8),a11)
% 0.22/0.62 [22]~P17(f15(f14(a9,f6(a2,a4)),a5),a11)
% 0.22/0.62 [1]P1(x11,x11)
% 0.22/0.62 [2]P2(x21,x21)
% 0.22/0.62 [3]P3(x31,x31)
% 0.22/0.62 [4]P4(x41,x41)
% 0.22/0.62 [5]P5(x51,x51)
% 0.22/0.62 [6]P6(x61,x61)
% 0.22/0.62 [7]P7(x71,x71)
% 0.22/0.62 [8]P8(x81,x81)
% 0.22/0.62 [9]P9(x91,x91)
% 0.22/0.62 [10]P10(x101,x101)
% 0.22/0.62 [11]P11(x111,x111)
% 0.22/0.62 [12]P12(x121,x121)
% 0.22/0.62 [13]P13(x131,x131)
% 0.22/0.62 [14]P14(x141,x141)
% 0.22/0.62 [15]P15(x151,x151)
% 0.22/0.62 [16]P16(x161,x161)
% 0.22/0.62 [53]~P18(f21(a10,x531),a1)+P17(f15(f14(a9,x531),f13(a3,x531)),f13(a3,f6(a12,x531)))
% 0.22/0.62 [54]~P17(f15(f19(f25(a17,a1),a9),x541),x542)+P5(f13(f26(f24(a16,x541),x542),a1),x542)
% 0.22/0.62 [55]P5(f13(f26(f24(a16,x551),x552),f6(a2,a4)),x551)+~P17(f15(f19(f25(a17,a1),a9),x551),x552)
% 0.22/0.62 [23]~P1(x233,x231)+P1(x231,x232)+~P1(x233,x232)
% 0.22/0.62 [24]~P2(x243,x241)+P2(x241,x242)+~P2(x243,x242)
% 0.22/0.62 [25]~P3(x253,x251)+P3(x251,x252)+~P3(x253,x252)
% 0.22/0.62 [26]~P4(x263,x261)+P4(x261,x262)+~P4(x263,x262)
% 0.22/0.62 [27]~P5(x273,x271)+P5(x271,x272)+~P5(x273,x272)
% 0.22/0.62 [28]~P6(x283,x281)+P6(x281,x282)+~P6(x283,x282)
% 0.22/0.62 [29]~P7(x293,x291)+P7(x291,x292)+~P7(x293,x292)
% 0.22/0.62 [30]~P8(x303,x301)+P8(x301,x302)+~P8(x303,x302)
% 0.22/0.62 [31]~P9(x313,x311)+P9(x311,x312)+~P9(x313,x312)
% 0.22/0.62 [32]~P10(x323,x321)+P10(x321,x322)+~P10(x323,x322)
% 0.22/0.62 [33]~P11(x333,x331)+P11(x331,x332)+~P11(x333,x332)
% 0.22/0.62 [34]~P12(x343,x341)+P12(x341,x342)+~P12(x343,x342)
% 0.22/0.62 [35]~P13(x353,x351)+P13(x351,x352)+~P13(x353,x352)
% 0.22/0.62 [36]~P14(x363,x361)+P14(x361,x362)+~P14(x363,x362)
% 0.22/0.62 [37]~P15(x373,x371)+P15(x371,x372)+~P15(x373,x372)
% 0.22/0.62 [38]~P16(x383,x381)+P16(x381,x382)+~P16(x383,x382)
% 0.22/0.62 [57]~P18(f21(a10,x571),a1)+~P17(f15(f19(f25(a17,a1),a9),x572),x573)+P17(f15(f14(a9,x571),f13(f26(f24(a16,x572),x573),x571)),f13(f26(f24(a16,x572),x573),f6(a12,x571)))
% 0.22/0.62 [41]~P3(x411,x413)+~P5(x412,x414)+P2(f15(x411,x412),f15(x413,x414))
% 0.22/0.62 [42]~P1(x421,x423)+~P6(x422,x424)+P3(f14(x421,x422),f14(x423,x424))
% 0.22/0.62 [43]~P1(x432,x434)+~P10(x431,x433)+P3(f19(x431,x432),f19(x433,x434))
% 0.22/0.62 [44]~P6(x442,x444)+~P12(x441,x443)+P5(f13(x441,x442),f13(x443,x444))
% 0.22/0.62 [45]~P4(x451,x453)+~P6(x452,x454)+P6(f6(x451,x452),f6(x453,x454))
% 0.22/0.62 [46]~P12(x462,x464)+~P14(x461,x463)+P6(f20(x461,x462),f20(x463,x464))
% 0.22/0.62 [47]~P5(x472,x474)+~P7(x471,x473)+P8(f24(x471,x472),f24(x473,x474))
% 0.22/0.62 [48]~P6(x482,x484)+~P9(x481,x483)+P10(f25(x481,x482),f25(x483,x484))
% 0.22/0.62 [49]~P5(x492,x494)+~P8(x491,x493)+P12(f26(x491,x492),f26(x493,x494))
% 0.22/0.62 [50]~P5(x502,x504)+~P11(x501,x503)+P13(f22(x501,x502),f22(x503,x504))
% 0.22/0.62 [51]~P5(x512,x514)+~P13(x511,x513)+P14(f23(x511,x512),f23(x513,x514))
% 0.22/0.62 [52]~P6(x522,x524)+~P16(x521,x523)+P15(f21(x521,x522),f21(x523,x524))
% 0.22/0.62 [56]~P5(f13(x563,a1),x562)+~P5(f13(x563,f6(a2,a4)),x561)+P17(f15(f19(f25(a17,a1),a9),x561),x562)+P18(f21(a10,f20(f23(f22(a18,x561),x562),x563)),a1)
% 0.22/0.62 [58]~P5(f13(x583,a1),x582)+~P5(f13(x583,f6(a2,a4)),x581)+P17(f15(f19(f25(a17,a1),a9),x581),x582)+~P17(f15(f14(a9,f20(f23(f22(a18,x581),x582),x583)),f13(x583,f20(f23(f22(a18,x581),x582),x583))),f13(x583,f6(a12,f20(f23(f22(a18,x581),x582),x583))))
% 0.22/0.62 [39]~P17(x393,x394)+P17(x391,x392)+~P2(x393,x391)+~P5(x394,x392)
% 0.22/0.62 [40]~P18(x404,x403)+P18(x401,x402)+~P6(x403,x402)+~P15(x404,x401)
% 0.22/0.62 %EqnAxiom
% 0.22/0.62
% 0.22/0.62 %-------------------------------------------
% 0.22/0.62 cnf(60,plain,
% 0.22/0.62 (P14(f23(x601,f13(a3,a1)),f23(x601,a8))),
% 0.22/0.62 inference(scs_inference,[],[13,16,18,19,52,51])).
% 0.22/0.62 cnf(61,plain,
% 0.22/0.62 (P13(f22(x611,f13(a3,a1)),f22(x611,a8))),
% 0.22/0.62 inference(scs_inference,[],[11,13,16,18,19,52,51,50])).
% 0.22/0.62 cnf(63,plain,
% 0.22/0.62 (P12(f26(x631,f13(a3,a1)),f26(x631,a8))),
% 0.22/0.62 inference(scs_inference,[],[8,11,13,16,18,19,52,51,50,49])).
% 0.22/0.62 cnf(67,plain,
% 0.22/0.62 (P8(f24(x671,f13(a3,a1)),f24(x671,a8))),
% 0.22/0.62 inference(scs_inference,[],[7,8,9,11,13,16,18,19,52,51,50,49,48,47])).
% 0.22/0.62 cnf(69,plain,
% 0.22/0.62 (P6(f20(x691,f26(x692,f13(a3,a1))),f20(x691,f26(x692,a8)))),
% 0.22/0.62 inference(scs_inference,[],[7,8,9,11,13,14,16,18,19,52,51,50,49,48,47,46])).
% 0.22/0.62 cnf(92,plain,
% 0.22/0.62 (P6(f6(a2,a4),a1)),
% 0.22/0.62 inference(scs_inference,[],[17,6,28])).
% 0.22/0.62 cnf(111,plain,
% 0.22/0.62 (~P5(a8,a5)),
% 0.22/0.62 inference(scs_inference,[],[1,17,5,9,12,16,21,22,6,60,61,67,28,52,49,48,46,44,39,51,42,41])).
% 0.22/0.62 cnf(129,plain,
% 0.22/0.62 (~P5(f13(a3,a1),a5)),
% 0.22/0.62 inference(scs_inference,[],[19,111,27])).
% 0.22/0.62 cnf(131,plain,
% 0.22/0.62 (~P5(a5,f13(a3,a1))),
% 0.22/0.62 inference(scs_inference,[],[5,129,27])).
% 0.22/0.62 cnf(134,plain,
% 0.22/0.62 (P3(f14(x1341,a7),f14(x1341,f6(a2,a4)))),
% 0.22/0.62 inference(scs_inference,[],[18,1,42])).
% 0.22/0.62 cnf(140,plain,
% 0.22/0.62 (P10(f25(x1401,f20(x1402,f26(x1403,f13(a3,a1)))),f25(x1401,f20(x1402,f26(x1403,a8))))),
% 0.22/0.62 inference(scs_inference,[],[3,4,9,18,20,69,1,42,41,45,48])).
% 0.22/0.62 cnf(184,plain,
% 0.22/0.62 (P3(f19(f25(x1841,f20(x1842,f26(x1843,f13(a3,a1)))),x1844),f19(f25(x1841,f20(x1842,f26(x1843,a8))),x1844))),
% 0.22/0.62 inference(scs_inference,[],[19,5,140,134,1,41,27,43])).
% 0.22/0.62 cnf(189,plain,
% 0.22/0.62 (P12(x1891,x1891)),
% 0.22/0.62 inference(rename_variables,[],[12])).
% 0.22/0.62 cnf(195,plain,
% 0.22/0.62 ($false),
% 0.22/0.62 inference(scs_inference,[],[5,63,12,189,20,184,131,92,34,41,27,44]),
% 0.22/0.62 ['proof']).
% 0.22/0.62 % SZS output end Proof
% 0.22/0.62 % Total time :0.060000s
%------------------------------------------------------------------------------