TSTP Solution File: SYN650-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN650-1 : 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 : n020.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 01:46:46 EDT 2023
% Result : Unsatisfiable 0.21s 0.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN650-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 20:39:29 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 % File :CSE---1.6
% 0.21/0.67 % Problem :theBenchmark
% 0.21/0.67 % Transform :cnf
% 0.21/0.67 % Format :tptp:raw
% 0.21/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.67
% 0.21/0.67 % Result :Theorem 0.040000s
% 0.21/0.67 % Output :CNFRefutation 0.040000s
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 %--------------------------------------------------------------------------
% 0.21/0.67 % File : SYN650-1 : TPTP v8.1.2. Released v2.5.0.
% 0.21/0.67 % Domain : Syntactic
% 0.21/0.67 % Problem : Harrison problem 4422
% 0.21/0.67 % Version : Especial.
% 0.21/0.67 % English :
% 0.21/0.67
% 0.21/0.67 % Refs : [Har01] Email to G. Sutcliffe
% 0.21/0.67 % Source : [Har01]
% 0.21/0.67 % Names :
% 0.21/0.67
% 0.21/0.67 % Status : Unsatisfiable
% 0.21/0.67 % Rating : 0.14 v7.5.0, 0.17 v7.1.0, 0.50 v6.4.0, 0.38 v6.3.0, 0.14 v6.2.0, 0.22 v6.1.0, 0.29 v5.5.0, 0.38 v5.4.0, 0.50 v5.2.0, 0.40 v5.1.0, 0.36 v5.0.0, 0.43 v4.1.0, 0.38 v4.0.1, 0.20 v4.0.0, 0.43 v3.4.0, 0.75 v3.3.0, 0.67 v3.2.0, 0.33 v3.1.0, 0.67 v2.7.0, 0.25 v2.6.0, 0.33 v2.5.0
% 0.21/0.67 % Syntax : Number of clauses : 45 ( 14 unt; 3 nHn; 34 RR)
% 0.21/0.67 % Number of literals : 114 ( 0 equ; 68 neg)
% 0.21/0.67 % Maximal clause size : 6 ( 2 avg)
% 0.21/0.67 % Maximal term depth : 6 ( 2 avg)
% 0.21/0.67 % Number of predicates : 10 ( 10 usr; 0 prp; 1-2 aty)
% 0.21/0.67 % Number of functors : 22 ( 22 usr; 8 con; 0-5 aty)
% 0.21/0.67 % Number of variables : 123 ( 1 sgn)
% 0.21/0.67 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.67
% 0.21/0.67 % Comments :
% 0.21/0.67 %--------------------------------------------------------------------------
% 0.21/0.67 cnf(p10_1,negated_conjecture,
% 0.21/0.67 p10(X0,X0) ).
% 0.21/0.67
% 0.21/0.67 cnf(p8_2,negated_conjecture,
% 0.21/0.67 p8(X54,X54) ).
% 0.21/0.67
% 0.21/0.67 cnf(p7_3,negated_conjecture,
% 0.21/0.67 p7(X51,X51) ).
% 0.21/0.67
% 0.21/0.67 cnf(p6_4,negated_conjecture,
% 0.21/0.67 p6(X44,X44) ).
% 0.21/0.67
% 0.21/0.67 cnf(p2_5,negated_conjecture,
% 0.21/0.67 p2(X12,X12) ).
% 0.21/0.67
% 0.21/0.67 cnf(p19_6,negated_conjecture,
% 0.21/0.67 p19(X7,X7) ).
% 0.21/0.67
% 0.21/0.67 cnf(not_p2_7,negated_conjecture,
% 0.21/0.67 ~ p2(c27,f3(c26)) ).
% 0.21/0.67
% 0.21/0.67 cnf(p22_8,negated_conjecture,
% 0.21/0.67 p22(f3(f4(f5(c26))),c27) ).
% 0.21/0.67
% 0.21/0.67 cnf(p23_9,negated_conjecture,
% 0.21/0.67 ( p23(X29)
% 0.21/0.67 | ~ p23(X30)
% 0.21/0.67 | ~ p2(X30,X29) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p24_10,negated_conjecture,
% 0.21/0.67 p24(c33,f20(f11(c29,f12(c27,c30)))) ).
% 0.21/0.67
% 0.21/0.67 cnf(p19_11,negated_conjecture,
% 0.21/0.67 ( p19(f20(X10),f20(X11))
% 0.21/0.67 | ~ p6(X10,X11) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p8_12,negated_conjecture,
% 0.21/0.67 ( p8(f16(X67),f16(X68))
% 0.21/0.67 | ~ p8(X67,X68) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p8_13,negated_conjecture,
% 0.21/0.67 ( p8(f14(X61),f14(X62))
% 0.21/0.67 | ~ p2(X61,X62) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p2_14,negated_conjecture,
% 0.21/0.67 ( p2(f5(X23),f5(X24))
% 0.21/0.67 | ~ p2(X23,X24) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p2_15,negated_conjecture,
% 0.21/0.67 ( p2(f4(X21),f4(X22))
% 0.21/0.67 | ~ p2(X21,X22) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p2_16,negated_conjecture,
% 0.21/0.67 ( p2(f3(X19),f3(X20))
% 0.21/0.67 | ~ p2(X19,X20) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p10_17,negated_conjecture,
% 0.21/0.67 ( p10(X1,X2)
% 0.21/0.67 | ~ p10(X0,X1)
% 0.21/0.67 | ~ p10(X0,X2) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p8_18,negated_conjecture,
% 0.21/0.67 ( p8(X55,X56)
% 0.21/0.67 | ~ p8(X54,X55)
% 0.21/0.67 | ~ p8(X54,X56) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p7_19,negated_conjecture,
% 0.21/0.67 ( p7(X52,X53)
% 0.21/0.67 | ~ p7(X51,X52)
% 0.21/0.67 | ~ p7(X51,X53) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p6_20,negated_conjecture,
% 0.21/0.67 ( p6(X45,X46)
% 0.21/0.67 | ~ p6(X44,X45)
% 0.21/0.67 | ~ p6(X44,X46) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p2_21,negated_conjecture,
% 0.21/0.67 ( p2(X13,X14)
% 0.21/0.67 | ~ p2(X12,X13)
% 0.21/0.67 | ~ p2(X12,X14) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p19_22,negated_conjecture,
% 0.21/0.67 ( p19(X8,X9)
% 0.21/0.67 | ~ p19(X7,X8)
% 0.21/0.67 | ~ p19(X7,X9) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(p8_23,negated_conjecture,
% 0.21/0.67 p8(c28,f9(f11(c29,f12(c27,c30)),c31,c32)) ).
% 0.21/0.67
% 0.21/0.67 cnf(not_p8_24,negated_conjecture,
% 0.21/0.67 ~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)) ).
% 0.21/0.67
% 0.21/0.68 cnf(p25_25,negated_conjecture,
% 0.21/0.68 ( p25(X40,X41)
% 0.21/0.68 | ~ p8(X42,X40)
% 0.21/0.68 | ~ p8(X43,X41)
% 0.21/0.68 | ~ p25(X42,X43) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p22_26,negated_conjecture,
% 0.21/0.68 ( p22(X25,X26)
% 0.21/0.68 | ~ p2(X28,X26)
% 0.21/0.68 | ~ p22(X27,X28)
% 0.21/0.68 | ~ p2(X27,X25) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p24_27,negated_conjecture,
% 0.21/0.68 ( p24(X36,X37)
% 0.21/0.68 | ~ p24(X39,X38)
% 0.21/0.68 | ~ p8(X39,X36)
% 0.21/0.68 | ~ p19(X38,X37) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p10_28,negated_conjecture,
% 0.21/0.68 ( p10(f12(X3,X4),f12(X5,X6))
% 0.21/0.68 | ~ p2(X3,X5)
% 0.21/0.68 | ~ p2(X4,X6) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_29,negated_conjecture,
% 0.21/0.68 ( p8(f17(X69,X70),f17(X71,X72))
% 0.21/0.68 | ~ p8(X69,X71)
% 0.21/0.68 | ~ p8(X70,X72) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_30,negated_conjecture,
% 0.21/0.68 ( p8(f15(X63,X64),f15(X65,X66))
% 0.21/0.68 | ~ p6(X63,X65)
% 0.21/0.68 | ~ p8(X64,X66) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_31,negated_conjecture,
% 0.21/0.68 ( p8(f13(X57,X58),f13(X59,X60))
% 0.21/0.68 | ~ p8(X57,X59)
% 0.21/0.68 | ~ p8(X58,X60) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p6_32,negated_conjecture,
% 0.21/0.68 ( p6(f11(X47,X48),f11(X49,X50))
% 0.21/0.68 | ~ p10(X48,X50)
% 0.21/0.68 | ~ p2(X47,X49) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p2_33,negated_conjecture,
% 0.21/0.68 ( p2(f18(X15,X16),f18(X17,X18))
% 0.21/0.68 | ~ p6(X15,X17)
% 0.21/0.68 | ~ p8(X16,X18) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(f18_is_not_p23_34,negated_conjecture,
% 0.21/0.68 ~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_35,negated_conjecture,
% 0.21/0.68 p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_36,negated_conjecture,
% 0.21/0.68 ( p8(f9(X83,X84,X85),f9(X86,X87,X88))
% 0.21/0.68 | ~ p7(X84,X87)
% 0.21/0.68 | ~ p8(X85,X88)
% 0.21/0.68 | ~ p6(X83,X86) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p24_37,negated_conjecture,
% 0.21/0.68 ( p24(f9(f11(X31,f12(X32,X33)),c31,X34),f20(f11(X31,f12(X32,X33))))
% 0.21/0.68 | ~ p22(f3(f4(f5(c26))),X32) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_38,negated_conjecture,
% 0.21/0.68 p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_39,negated_conjecture,
% 0.21/0.68 ( p8(f21(X73,X74,X75,X76,X77),f21(X78,X79,X80,X81,X82))
% 0.21/0.68 | ~ p8(X76,X81)
% 0.21/0.68 | ~ p8(X77,X82)
% 0.21/0.68 | ~ p2(X73,X78)
% 0.21/0.68 | ~ p2(X74,X79)
% 0.21/0.68 | ~ p2(X75,X80) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p25_40,negated_conjecture,
% 0.21/0.68 ( p25(f16(f17(X34,f9(f11(X31,f12(X32,X33)),c31,X34))),f16(f17(X34,X35)))
% 0.21/0.68 | ~ p22(f3(f4(f5(c26))),X32)
% 0.21/0.68 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p25_41,negated_conjecture,
% 0.21/0.68 ( p25(f16(f17(X34,f9(f11(X31,f12(X32,X33)),c31,X34))),f13(f15(f11(X31,f12(X32,X33)),X34),f14(f3(f4(f5(c26))))))
% 0.21/0.68 | ~ p22(f3(f4(f5(c26))),X32) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_42,negated_conjecture,
% 0.21/0.68 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34))
% 0.21/0.68 | p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33))))
% 0.21/0.68 | ~ p22(f3(f4(f5(c26))),X32)
% 0.21/0.68 | ~ p23(f18(f11(X31,f12(X32,X33)),X35))
% 0.21/0.68 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_43,negated_conjecture,
% 0.21/0.68 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34))
% 0.21/0.68 | ~ p22(f3(f4(f5(c26))),X32)
% 0.21/0.68 | ~ p23(f18(f11(X31,f12(X32,X33)),X35))
% 0.21/0.68 | ~ p24(X35,f20(f11(X31,f12(X32,X33))))
% 0.21/0.68 | ~ p25(f16(f17(X34,X35)),f16(f17(X34,f21(X31,X32,X33,X34,X35)))) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_44,negated_conjecture,
% 0.21/0.68 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34))
% 0.21/0.68 | p24(f21(X31,X32,X33,X34,X35),f20(f11(X31,f12(X32,X33))))
% 0.21/0.68 | p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34)))
% 0.21/0.68 | ~ p22(f3(f4(f5(c26))),X32)
% 0.21/0.68 | ~ p24(X35,f20(f11(X31,f12(X32,X33)))) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(p8_45,negated_conjecture,
% 0.21/0.68 ( p8(X35,f9(f11(X31,f12(X32,X33)),c31,X34))
% 0.21/0.68 | p23(f18(f11(X31,f12(X32,X33)),f9(f11(X31,f12(X32,X33)),c31,X34)))
% 0.21/0.68 | ~ p22(f3(f4(f5(c26))),X32)
% 0.21/0.68 | ~ p24(X35,f20(f11(X31,f12(X32,X33))))
% 0.21/0.68 | ~ p25(f16(f17(X34,X35)),f16(f17(X34,f21(X31,X32,X33,X34,X35)))) ) ).
% 0.21/0.68
% 0.21/0.68 %--------------------------------------------------------------------------
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % Proof found
% 0.21/0.68 % SZS status Theorem for theBenchmark
% 0.21/0.68 % SZS output start Proof
% 0.21/0.68 %ClaNum:45(EqnAxiom:0)
% 0.21/0.68 %VarNum:304(SingletonVarNum:123)
% 0.21/0.68 %MaxLitNum:6
% 0.21/0.68 %MaxfuncDepth:5
% 0.21/0.68 %SharedTerms:32
% 0.21/0.68 %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
% 0.21/0.68 %singleGoalClaCount:14
% 0.21/0.68 [12]~P5(a5,f4(a1))
% 0.21/0.68 [7]P7(f4(f3(f2(a1))),a5)
% 0.21/0.68 [8]P8(a6,f14(f13(a7,f12(a5,a9))))
% 0.21/0.68 [9]P2(a8,f22(f13(a7,f12(a5,a9)),a10,a11))
% 0.21/0.68 [13]~P2(a6,f22(f13(a7,f12(a5,a9)),a10,a11))
% 0.21/0.68 [14]~P9(f20(f13(a7,f12(a5,a9)),f22(f13(a7,f12(a5,a9)),a10,a11)))
% 0.21/0.68 [10]P2(f16(f15(a11,a6)),f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1))))))
% 0.21/0.68 [11]P2(f16(f15(a11,f22(f13(a7,f12(a5,a9)),a10,a11))),f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1))))))
% 0.21/0.68 [1]P1(x11,x11)
% 0.21/0.68 [2]P2(x21,x21)
% 0.21/0.68 [3]P3(x31,x31)
% 0.21/0.68 [4]P4(x41,x41)
% 0.21/0.68 [5]P5(x51,x51)
% 0.21/0.68 [6]P6(x61,x61)
% 0.21/0.68 [16]~P2(x161,x162)+P2(f16(x161),f16(x162))
% 0.21/0.68 [17]~P5(x171,x172)+P2(f18(x171),f18(x172))
% 0.21/0.68 [18]~P5(x181,x182)+P5(f4(x181),f4(x182))
% 0.21/0.68 [19]~P5(x191,x192)+P5(f2(x191),f2(x192))
% 0.21/0.68 [20]~P5(x201,x202)+P5(f3(x201),f3(x202))
% 0.21/0.68 [21]~P4(x211,x212)+P6(f14(x211),f14(x212))
% 0.21/0.68 [38]~P7(f4(f3(f2(a1))),x382)+P8(f22(f13(x381,f12(x382,x383)),a10,x384),f14(f13(x381,f12(x382,x383))))
% 0.21/0.68 [40]~P7(f4(f3(f2(a1))),x403)+P10(f16(f15(x401,f22(f13(x402,f12(x403,x404)),a10,x401))),f19(f17(f13(x402,f12(x403,x404)),x401),f18(f4(f3(f2(a1))))))
% 0.21/0.68 [15]~P5(x152,x151)+P9(x151)+~P9(x152)
% 0.21/0.68 [22]~P1(x223,x221)+P1(x221,x222)+~P1(x223,x222)
% 0.21/0.68 [23]~P2(x233,x231)+P2(x231,x232)+~P2(x233,x232)
% 0.21/0.68 [24]~P3(x243,x241)+P3(x241,x242)+~P3(x243,x242)
% 0.21/0.68 [25]~P4(x253,x251)+P4(x251,x252)+~P4(x253,x252)
% 0.21/0.68 [26]~P5(x263,x261)+P5(x261,x262)+~P5(x263,x262)
% 0.21/0.68 [27]~P6(x273,x271)+P6(x271,x272)+~P6(x273,x272)
% 0.21/0.68 [31]~P5(x312,x314)+~P5(x311,x313)+P1(f12(x311,x312),f12(x313,x314))
% 0.21/0.68 [32]~P2(x322,x324)+~P2(x321,x323)+P2(f15(x321,x322),f15(x323,x324))
% 0.21/0.68 [33]~P2(x332,x334)+~P4(x331,x333)+P2(f17(x331,x332),f17(x333,x334))
% 0.21/0.68 [34]~P2(x342,x344)+~P2(x341,x343)+P2(f19(x341,x342),f19(x343,x344))
% 0.21/0.68 [35]~P1(x352,x354)+~P5(x351,x353)+P4(f13(x351,x352),f13(x353,x354))
% 0.21/0.68 [36]~P2(x362,x364)+~P4(x361,x363)+P5(f20(x361,x362),f20(x363,x364))
% 0.21/0.68 [39]~P8(x395,f14(f13(x392,f12(x393,x394))))+~P7(f4(f3(f2(a1))),x393)+P10(f16(f15(x391,f22(f13(x392,f12(x393,x394)),a10,x391))),f16(f15(x391,x395)))
% 0.21/0.68 [28]~P7(x283,x284)+P7(x281,x282)+~P5(x283,x281)+~P5(x284,x282)
% 0.21/0.68 [29]~P8(x293,x294)+P8(x291,x292)+~P2(x293,x291)+~P6(x294,x292)
% 0.21/0.68 [30]~P10(x304,x303)+P10(x301,x302)+~P2(x303,x302)+~P2(x304,x301)
% 0.21/0.68 [37]~P2(x373,x376)+~P3(x372,x375)+~P4(x371,x374)+P2(f22(x371,x372,x373),f22(x374,x375,x376))
% 0.21/0.68 [41]P8(f21(x412,x413,x414,x415,x411),f14(f13(x412,f12(x413,x414))))+~P8(x411,f14(f13(x412,f12(x413,x414))))+~P7(f4(f3(f2(a1))),x413)+P2(x411,f22(f13(x412,f12(x413,x414)),a10,x415))+~P9(f20(f13(x412,f12(x413,x414)),x411))
% 0.21/0.68 [44]~P10(f16(f15(x445,x441)),f16(f15(x445,f21(x442,x443,x444,x445,x441))))+~P8(x441,f14(f13(x442,f12(x443,x444))))+~P7(f4(f3(f2(a1))),x443)+P2(x441,f22(f13(x442,f12(x443,x444)),a10,x445))+~P9(f20(f13(x442,f12(x443,x444)),x441))
% 0.21/0.68 [42]P8(f21(x422,x423,x424,x425,x421),f14(f13(x422,f12(x423,x424))))+~P8(x421,f14(f13(x422,f12(x423,x424))))+~P7(f4(f3(f2(a1))),x423)+P2(x421,f22(f13(x422,f12(x423,x424)),a10,x425))+P9(f20(f13(x422,f12(x423,x424)),f22(f13(x422,f12(x423,x424)),a10,x425)))
% 0.21/0.68 [45]~P10(f16(f15(x455,x451)),f16(f15(x455,f21(x452,x453,x454,x455,x451))))+~P8(x451,f14(f13(x452,f12(x453,x454))))+~P7(f4(f3(f2(a1))),x453)+P2(x451,f22(f13(x452,f12(x453,x454)),a10,x455))+P9(f20(f13(x452,f12(x453,x454)),f22(f13(x452,f12(x453,x454)),a10,x455)))
% 0.21/0.68 [43]~P2(x435,x4310)+~P2(x434,x439)+~P5(x433,x438)+~P5(x432,x437)+~P5(x431,x436)+P2(f21(x431,x432,x433,x434,x435),f21(x436,x437,x438,x439,x4310))
% 0.21/0.68 %EqnAxiom
% 0.21/0.68
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 cnf(46,plain,
% 0.21/0.68 (~P10(f16(f15(a11,a6)),f16(f15(a11,f21(a7,a5,a9,a11,a6))))),
% 0.21/0.68 inference(scs_inference,[],[13,7,8,14,45])).
% 0.21/0.68 cnf(47,plain,
% 0.21/0.68 (P8(f21(a7,a5,a9,a11,a6),f14(f13(a7,f12(a5,a9))))),
% 0.21/0.68 inference(scs_inference,[],[13,7,8,14,45,42])).
% 0.21/0.68 cnf(54,plain,
% 0.21/0.68 (P5(f20(x541,a8),f20(x541,f22(f13(a7,f12(a5,a9)),a10,a11)))),
% 0.21/0.68 inference(scs_inference,[],[4,13,7,8,9,14,45,42,16,40,38,36])).
% 0.21/0.68 cnf(62,plain,
% 0.21/0.68 (P1(f12(f20(x621,a8),f20(x621,a8)),f12(f20(x621,f22(f13(a7,f12(a5,a9)),a10,a11)),f20(x621,f22(f13(a7,f12(a5,a9)),a10,a11))))),
% 0.21/0.68 inference(scs_inference,[],[4,13,7,8,9,14,45,42,16,40,38,36,34,33,32,31])).
% 0.21/0.68 cnf(67,plain,
% 0.21/0.68 (P2(x671,x671)),
% 0.21/0.68 inference(rename_variables,[],[2])).
% 0.21/0.68 cnf(69,plain,
% 0.21/0.68 (P2(f22(x691,x692,a8),f22(x691,x692,f22(f13(a7,f12(a5,a9)),a10,a11)))),
% 0.21/0.68 inference(scs_inference,[],[2,3,4,13,7,8,9,14,45,42,16,40,38,36,34,33,32,31,39,30,37])).
% 0.21/0.68 cnf(75,plain,
% 0.21/0.68 (~P2(f22(f13(a7,f12(a5,a9)),a10,a11),a6)),
% 0.21/0.68 inference(scs_inference,[],[2,67,3,4,5,12,13,7,8,9,14,45,42,16,40,38,36,34,33,32,31,39,30,37,43,26,23])).
% 0.21/0.68 cnf(102,plain,
% 0.21/0.68 (P2(f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1))))),f16(f15(a11,a6)))),
% 0.21/0.68 inference(scs_inference,[],[10,2,4,54,20,19,18,17,36,34,33,32,23])).
% 0.21/0.68 cnf(103,plain,
% 0.21/0.68 (P2(x1031,x1031)),
% 0.21/0.68 inference(rename_variables,[],[2])).
% 0.21/0.68 cnf(105,plain,
% 0.21/0.68 (P10(f16(f15(x1051,f22(f13(a7,f12(a5,a9)),a10,x1051))),f16(f15(x1051,f21(a7,a5,a9,a11,a6))))),
% 0.21/0.68 inference(scs_inference,[],[10,2,4,7,47,54,20,19,18,17,36,34,33,32,23,39])).
% 0.21/0.68 cnf(111,plain,
% 0.21/0.68 (P2(f21(x1111,x1111,x1111,f22(x1112,x1113,a8),f22(x1112,x1113,a8)),f21(x1111,x1111,x1111,f22(x1112,x1113,f22(f13(a7,f12(a5,a9)),a10,a11)),f22(x1112,x1113,f22(f13(a7,f12(a5,a9)),a10,a11))))),
% 0.21/0.68 inference(scs_inference,[],[10,2,103,3,4,5,7,47,46,69,54,20,19,18,17,36,34,33,32,23,39,30,37,43])).
% 0.21/0.68 cnf(132,plain,
% 0.21/0.68 (~P10(f19(f17(f13(a7,f12(a5,a9)),a11),f18(f4(f3(f2(a1))))),f16(f15(a11,f21(a7,a5,a9,a11,a6))))),
% 0.21/0.68 inference(scs_inference,[],[2,46,9,10,102,75,62,1,22,23,16,30])).
% 0.21/0.68 cnf(155,plain,
% 0.21/0.68 (P2(x1551,x1551)),
% 0.21/0.68 inference(rename_variables,[],[2])).
% 0.21/0.68 cnf(157,plain,
% 0.21/0.68 ($false),
% 0.21/0.68 inference(scs_inference,[],[11,105,111,132,2,155,16,23,30]),
% 0.21/0.68 ['proof']).
% 0.21/0.68 % SZS output end Proof
% 0.21/0.68 % Total time :0.040000s
%------------------------------------------------------------------------------