TSTP Solution File: SYN693-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN693-1 : 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 : n009.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 01:46:58 EDT 2023
% Result : Unsatisfiable 0.53s 0.70s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN693-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 19:14:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.52/0.56 start to proof:theBenchmark
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 % File :CSE---1.6
% 0.53/0.68 % Problem :theBenchmark
% 0.53/0.68 % Transform :cnf
% 0.53/0.68 % Format :tptp:raw
% 0.53/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.68
% 0.53/0.68 % Result :Theorem 0.070000s
% 0.53/0.68 % Output :CNFRefutation 0.070000s
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 %--------------------------------------------------------------------------
% 0.53/0.68 % File : SYN693-1 : TPTP v8.1.2. Released v2.5.0.
% 0.53/0.68 % Domain : Syntactic
% 0.53/0.68 % Problem : Harrison problem 4627
% 0.53/0.68 % Version : Especial.
% 0.53/0.68 % English :
% 0.53/0.68
% 0.53/0.68 % Refs : [Har01] Email to G. Sutcliffe
% 0.53/0.68 % Source : [Har01]
% 0.53/0.68 % Names :
% 0.53/0.68
% 0.53/0.68 % Status : Unsatisfiable
% 0.53/0.68 % Rating : 0.00 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% 0.53/0.68 % Syntax : Number of clauses : 69 ( 27 unt; 2 nHn; 59 RR)
% 0.53/0.68 % Number of literals : 149 ( 0 equ; 80 neg)
% 0.53/0.68 % Maximal clause size : 5 ( 2 avg)
% 0.53/0.68 % Maximal term depth : 6 ( 1 avg)
% 0.53/0.68 % Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty)
% 0.53/0.68 % Number of functors : 27 ( 27 usr; 13 con; 0-2 aty)
% 0.53/0.68 % Number of variables : 131 ( 5 sgn)
% 0.53/0.68 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.53/0.68
% 0.53/0.68 % Comments :
% 0.53/0.68 %--------------------------------------------------------------------------
% 0.53/0.68 cnf(c34_is_p25_1,negated_conjecture,
% 0.53/0.68 p25(c34) ).
% 0.53/0.68
% 0.53/0.68 cnf(c36_is_p29_2,negated_conjecture,
% 0.53/0.68 p29(c36) ).
% 0.53/0.68
% 0.53/0.68 cnf(f18_is_p30_3,negated_conjecture,
% 0.53/0.68 p30(f18(c41)) ).
% 0.53/0.68
% 0.53/0.68 cnf(f16_is_p28_4,negated_conjecture,
% 0.53/0.68 p28(f16(c38)) ).
% 0.53/0.68
% 0.53/0.68 cnf(f16_is_p28_5,negated_conjecture,
% 0.53/0.68 p28(f16(c39)) ).
% 0.53/0.68
% 0.53/0.68 cnf(f18_is_p30_6,negated_conjecture,
% 0.53/0.68 p30(f18(c40)) ).
% 0.53/0.68
% 0.53/0.69 cnf(p10_7,negated_conjecture,
% 0.53/0.69 p10(X5,X5) ).
% 0.53/0.69
% 0.53/0.69 cnf(p7_8,negated_conjecture,
% 0.53/0.69 p7(X111,X111) ).
% 0.53/0.69
% 0.53/0.69 cnf(p6_9,negated_conjecture,
% 0.53/0.69 p6(X108,X108) ).
% 0.53/0.69
% 0.53/0.69 cnf(p3_10,negated_conjecture,
% 0.53/0.69 p3(X87,X87) ).
% 0.53/0.69
% 0.53/0.69 cnf(p21_11,negated_conjecture,
% 0.53/0.69 p21(X67,X67) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_12,negated_conjecture,
% 0.53/0.69 p2(X43,X43) ).
% 0.53/0.69
% 0.53/0.69 cnf(p17_13,negated_conjecture,
% 0.53/0.69 p17(X28,X28) ).
% 0.53/0.69
% 0.53/0.69 cnf(p14_14,negated_conjecture,
% 0.53/0.69 p14(X19,X19) ).
% 0.53/0.69
% 0.53/0.69 cnf(p12_15,negated_conjecture,
% 0.53/0.69 p12(X12,X12) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_16,negated_conjecture,
% 0.53/0.69 p2(c44,c46) ).
% 0.53/0.69
% 0.53/0.69 cnf(p31_17,negated_conjecture,
% 0.53/0.69 p31(c46,f5(c42)) ).
% 0.53/0.69
% 0.53/0.69 cnf(p31_18,negated_conjecture,
% 0.53/0.69 p31(c44,f5(c42)) ).
% 0.53/0.69
% 0.53/0.69 cnf(p7_19,negated_conjecture,
% 0.53/0.69 p7(f8(c35),c36) ).
% 0.53/0.69
% 0.53/0.69 cnf(p32_20,negated_conjecture,
% 0.53/0.69 p32(f22(c34,c45),c43) ).
% 0.53/0.69
% 0.53/0.69 cnf(p31_21,negated_conjecture,
% 0.53/0.69 p31(f23(c44,f9(f20(c37))),c46) ).
% 0.53/0.69
% 0.53/0.69 cnf(p26_22,negated_conjecture,
% 0.53/0.69 p26(c34,f4(f5(X78)),f4(X78)) ).
% 0.53/0.69
% 0.53/0.69 cnf(p25_23,negated_conjecture,
% 0.53/0.69 ( p25(X70)
% 0.53/0.69 | ~ p25(X71)
% 0.53/0.69 | ~ p21(X71,X70) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p30_24,negated_conjecture,
% 0.53/0.69 ( p30(X92)
% 0.53/0.69 | ~ p30(X93)
% 0.53/0.69 | ~ p17(X93,X92) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p29_25,negated_conjecture,
% 0.53/0.69 ( p29(X85)
% 0.53/0.69 | ~ p29(X86)
% 0.53/0.69 | ~ p7(X86,X85) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p28_26,negated_conjecture,
% 0.53/0.69 ( p28(X83)
% 0.53/0.69 | ~ p28(X84)
% 0.53/0.69 | ~ p14(X84,X83) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p7_27,negated_conjecture,
% 0.53/0.69 ( p7(f8(X114),f8(X115))
% 0.53/0.69 | ~ p6(X114,X115) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p14_28,negated_conjecture,
% 0.53/0.69 ( p14(f16(X26),f16(X27))
% 0.53/0.69 | ~ p14(X26,X27) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p17_29,negated_conjecture,
% 0.53/0.69 ( p17(f18(X31),f18(X32))
% 0.53/0.69 | ~ p17(X31,X32) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_30,negated_conjecture,
% 0.53/0.69 ( p2(f20(X55),f20(X56))
% 0.53/0.69 | ~ p2(X55,X56) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_31,negated_conjecture,
% 0.53/0.69 ( p2(f24(X61),f24(X62))
% 0.53/0.69 | ~ p2(X61,X62) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_32,negated_conjecture,
% 0.53/0.69 ( p2(f5(X63),f5(X64))
% 0.53/0.69 | ~ p2(X63,X64) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_33,negated_conjecture,
% 0.53/0.69 ( p2(f9(X65),f9(X66))
% 0.53/0.69 | ~ p2(X65,X66) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p3_34,negated_conjecture,
% 0.53/0.69 ( p3(f4(X90),f4(X91))
% 0.53/0.69 | ~ p2(X90,X91) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p10_35,negated_conjecture,
% 0.53/0.69 ( p10(X6,X7)
% 0.53/0.69 | ~ p10(X5,X6)
% 0.53/0.69 | ~ p10(X5,X7) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p7_36,negated_conjecture,
% 0.53/0.69 ( p7(X112,X113)
% 0.53/0.69 | ~ p7(X111,X112)
% 0.53/0.69 | ~ p7(X111,X113) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p6_37,negated_conjecture,
% 0.53/0.69 ( p6(X109,X110)
% 0.53/0.69 | ~ p6(X108,X109)
% 0.53/0.69 | ~ p6(X108,X110) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p3_38,negated_conjecture,
% 0.53/0.69 ( p3(X88,X89)
% 0.53/0.69 | ~ p3(X87,X88)
% 0.53/0.69 | ~ p3(X87,X89) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p21_39,negated_conjecture,
% 0.53/0.69 ( p21(X68,X69)
% 0.53/0.69 | ~ p21(X67,X68)
% 0.53/0.69 | ~ p21(X67,X69) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_40,negated_conjecture,
% 0.53/0.69 ( p2(X44,X45)
% 0.53/0.69 | ~ p2(X43,X44)
% 0.53/0.69 | ~ p2(X43,X45) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p17_41,negated_conjecture,
% 0.53/0.69 ( p17(X29,X30)
% 0.53/0.69 | ~ p17(X28,X29)
% 0.53/0.69 | ~ p17(X28,X30) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p14_42,negated_conjecture,
% 0.53/0.69 ( p14(X20,X21)
% 0.53/0.69 | ~ p14(X19,X20)
% 0.53/0.69 | ~ p14(X19,X21) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p12_43,negated_conjecture,
% 0.53/0.69 ( p12(X13,X14)
% 0.53/0.69 | ~ p12(X12,X13)
% 0.53/0.69 | ~ p12(X12,X14) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p33_44,negated_conjecture,
% 0.53/0.69 p33(f11(f4(f5(c42)),c45),f11(f4(c42),c45)) ).
% 0.53/0.69
% 0.53/0.69 cnf(p31_45,negated_conjecture,
% 0.53/0.69 ( p31(X94,f24(X94))
% 0.53/0.69 | ~ p31(X94,c44)
% 0.53/0.69 | ~ p31(X94,f5(c42)) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p31_46,negated_conjecture,
% 0.53/0.69 ( p31(f24(X94),f5(c42))
% 0.53/0.69 | ~ p31(X94,c44)
% 0.53/0.69 | ~ p31(X94,f5(c42)) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p33_47,negated_conjecture,
% 0.53/0.69 ( p33(X104,X105)
% 0.53/0.69 | ~ p2(X107,X105)
% 0.53/0.69 | ~ p33(X106,X107)
% 0.53/0.69 | ~ p2(X106,X104) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p27_48,negated_conjecture,
% 0.53/0.69 ( p27(X79,X80)
% 0.53/0.69 | ~ p14(X82,X79)
% 0.53/0.69 | ~ p27(X82,X81)
% 0.53/0.69 | ~ p12(X81,X80) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p31_49,negated_conjecture,
% 0.53/0.69 ( p31(X95,X96)
% 0.53/0.69 | ~ p2(X98,X96)
% 0.53/0.69 | ~ p31(X97,X98)
% 0.53/0.69 | ~ p2(X97,X95) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p32_50,negated_conjecture,
% 0.53/0.69 ( p32(X99,X100)
% 0.53/0.69 | ~ p17(X102,X99)
% 0.53/0.69 | ~ p32(X102,X101)
% 0.53/0.69 | ~ p10(X101,X100) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_51,negated_conjecture,
% 0.53/0.69 p2(f11(f4(c42),c45),f11(f4(f23(c42,f9(f20(c37)))),c45)) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_52,negated_conjecture,
% 0.53/0.69 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
% 0.53/0.69
% 0.53/0.69 cnf(not_p2_53,negated_conjecture,
% 0.53/0.69 ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ).
% 0.53/0.69
% 0.53/0.69 cnf(p10_54,negated_conjecture,
% 0.53/0.69 ( p10(X0,c43)
% 0.53/0.69 | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p12_55,negated_conjecture,
% 0.53/0.69 ( p12(f13(X15,X16),f13(X17,X18))
% 0.53/0.69 | ~ p10(X15,X17)
% 0.53/0.69 | ~ p2(X16,X18) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_56,negated_conjecture,
% 0.53/0.69 ( p2(f23(X57,X58),f23(X59,X60))
% 0.53/0.69 | ~ p2(X57,X59)
% 0.53/0.69 | ~ p2(X58,X60) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_57,negated_conjecture,
% 0.53/0.69 ( p2(f19(X51,X52),f19(X53,X54))
% 0.53/0.69 | ~ p2(X51,X53)
% 0.53/0.69 | ~ p2(X52,X54) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_58,negated_conjecture,
% 0.53/0.69 ( p2(f11(X46,X47),f11(X48,X49))
% 0.53/0.69 | ~ p10(X47,X49)
% 0.53/0.69 | ~ p3(X46,X48) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p17_59,negated_conjecture,
% 0.53/0.69 ( p17(f22(X33,X34),f22(X35,X36))
% 0.53/0.69 | ~ p10(X34,X36)
% 0.53/0.69 | ~ p21(X33,X35) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p14_60,negated_conjecture,
% 0.53/0.69 ( p14(f15(X22,X23),f15(X24,X25))
% 0.53/0.69 | ~ p12(X23,X25)
% 0.53/0.69 | ~ p7(X22,X24) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_61,negated_conjecture,
% 0.53/0.69 p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ).
% 0.53/0.69
% 0.53/0.69 cnf(p32_62,negated_conjecture,
% 0.53/0.69 ( p32(f22(c34,X103),c43)
% 0.53/0.69 | ~ p33(f11(f4(f5(c42)),X103),f11(f4(c42),X103)) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p2_63,negated_conjecture,
% 0.53/0.69 ( p2(f11(f4(X50),c43),f11(f4(c44),c43))
% 0.53/0.69 | ~ p31(c44,X50)
% 0.53/0.69 | ~ p31(X50,f5(c42)) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p10_64,negated_conjecture,
% 0.53/0.69 ( p10(X1,X2)
% 0.53/0.69 | p32(f22(c34,X1),X2)
% 0.53/0.69 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(not_p31_65,negated_conjecture,
% 0.53/0.69 ( ~ p31(X94,c44)
% 0.53/0.69 | ~ p31(X94,f5(c42))
% 0.53/0.69 | ~ p2(f11(f4(f24(X94)),c43),f11(f4(X94),c43)) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p26_66,negated_conjecture,
% 0.53/0.69 ( p26(X72,X73,X74)
% 0.53/0.69 | ~ p3(X77,X74)
% 0.53/0.69 | ~ p3(X76,X73)
% 0.53/0.69 | ~ p21(X75,X72)
% 0.53/0.69 | ~ p26(X75,X76,X77) ) ).
% 0.53/0.69
% 0.53/0.69 cnf(p10_67,negated_conjecture,
% 0.53/0.69 ( p10(X8,X9)
% 0.53/0.70 | ~ p2(f11(f4(X10),X8),f9(c37))
% 0.53/0.70 | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ).
% 0.53/0.70
% 0.53/0.70 cnf(p2_68,negated_conjecture,
% 0.53/0.70 ( p2(X37,X38)
% 0.53/0.70 | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41))
% 0.53/0.70 | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ).
% 0.53/0.70
% 0.53/0.70 cnf(p32_69,negated_conjecture,
% 0.53/0.70 ( p32(f22(c34,X1),X2)
% 0.53/0.70 | p31(f11(f4(X3),X2),f11(f4(X4),X2))
% 0.53/0.70 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.53/0.70
% 0.53/0.70 %--------------------------------------------------------------------------
% 0.53/0.70 %-------------------------------------------
% 0.53/0.70 % Proof found
% 0.53/0.70 % SZS status Theorem for theBenchmark
% 0.53/0.70 % SZS output start Proof
% 0.53/0.70 %ClaNum:69(EqnAxiom:0)
% 0.53/0.70 %VarNum:270(SingletonVarNum:131)
% 0.53/0.70 %MaxLitNum:5
% 0.53/0.70 %MaxfuncDepth:5
% 0.53/0.70 %SharedTerms:57
% 0.53/0.70 %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 59 60 61 62 63 64 65 66 67 68 69
% 0.53/0.70 %singleGoalClaCount:27
% 0.53/0.70 [1]P1(a1)
% 0.53/0.70 [2]P8(a2)
% 0.53/0.70 [7]P2(a11,a14)
% 0.53/0.70 [3]P12(f9(a4))
% 0.53/0.70 [4]P12(f9(a5))
% 0.53/0.70 [5]P9(f10(a6))
% 0.53/0.70 [6]P9(f10(a8))
% 0.53/0.70 [17]P16(a11,f19(a12))
% 0.53/0.70 [18]P16(a14,f19(a12))
% 0.53/0.70 [19]P14(f26(a3),a2)
% 0.53/0.70 [20]P17(f20(a1,a15),a13)
% 0.53/0.70 [21]P16(f23(a11,f27(f21(a7))),a14)
% 0.53/0.70 [23]P18(f16(f24(f19(a12)),a15),f16(f24(a12),a15))
% 0.53/0.70 [24]P2(f22(f16(f24(f19(a12)),a13),f27(f21(a7))),f16(f24(a12),a13))
% 0.53/0.70 [25]P2(f16(f24(a12),a15),f16(f24(f23(a12,f27(f21(a7)))),a15))
% 0.53/0.70 [26]P2(f16(f24(f23(a11,f27(f21(a7)))),a13),f16(f24(a11),a13))
% 0.53/0.70 [27]~P2(f16(f24(a14),a13),f16(f24(f23(a11,f27(f21(a7)))),a13))
% 0.53/0.70 [8]P3(x81,x81)
% 0.53/0.70 [9]P14(x91,x91)
% 0.53/0.70 [10]P15(x101,x101)
% 0.53/0.70 [11]P13(x111,x111)
% 0.53/0.70 [12]P7(x121,x121)
% 0.53/0.70 [13]P2(x131,x131)
% 0.53/0.70 [14]P4(x141,x141)
% 0.53/0.70 [15]P5(x151,x151)
% 0.53/0.70 [16]P6(x161,x161)
% 0.53/0.70 [22]P10(a1,f24(f19(x221)),f24(x221))
% 0.53/0.70 [62]P3(x621,a13)+~P16(f16(f24(f19(a12)),x621),f16(f24(a12),x621))
% 0.53/0.70 [63]P17(f20(a1,x631),a13)+~P18(f16(f24(f19(a12)),x631),f16(f24(a12),x631))
% 0.53/0.70 [32]~P15(x321,x322)+P14(f26(x321),f26(x322))
% 0.53/0.70 [33]~P2(x331,x332)+P13(f24(x331),f24(x332))
% 0.53/0.70 [34]~P2(x341,x342)+P2(f19(x341),f19(x342))
% 0.53/0.70 [35]~P2(x351,x352)+P2(f21(x351),f21(x352))
% 0.53/0.70 [36]~P2(x361,x362)+P2(f27(x361),f27(x362))
% 0.53/0.70 [37]~P2(x371,x372)+P2(f25(x371),f25(x372))
% 0.53/0.70 [38]~P4(x381,x382)+P4(f9(x381),f9(x382))
% 0.53/0.70 [39]~P5(x391,x392)+P5(f10(x391),f10(x392))
% 0.53/0.70 [49]~P16(x491,a11)+P16(x491,f25(x491))+~P16(x491,f19(a12))
% 0.53/0.70 [50]~P16(x501,a11)+~P16(x501,f19(a12))+P16(f25(x501),f19(a12))
% 0.53/0.70 [61]~P16(a11,x611)+~P16(x611,f19(a12))+P2(f16(f24(x611),a13),f16(f24(a11),a13))
% 0.53/0.70 [65]~P16(x651,a11)+~P16(x651,f19(a12))+~P2(f16(f24(f25(x651)),a13),f16(f24(x651),a13))
% 0.53/0.70 [28]~P7(x282,x281)+P1(x281)+~P1(x282)
% 0.53/0.70 [29]~P14(x292,x291)+P8(x291)+~P8(x292)
% 0.53/0.70 [30]~P4(x302,x301)+P12(x301)+~P12(x302)
% 0.53/0.70 [31]~P5(x312,x311)+P9(x311)+~P9(x312)
% 0.53/0.70 [40]~P3(x403,x401)+P3(x401,x402)+~P3(x403,x402)
% 0.53/0.70 [41]~P14(x413,x411)+P14(x411,x412)+~P14(x413,x412)
% 0.53/0.70 [42]~P15(x423,x421)+P15(x421,x422)+~P15(x423,x422)
% 0.53/0.70 [43]~P13(x433,x431)+P13(x431,x432)+~P13(x433,x432)
% 0.53/0.70 [44]~P7(x443,x441)+P7(x441,x442)+~P7(x443,x442)
% 0.53/0.70 [45]~P2(x453,x451)+P2(x451,x452)+~P2(x453,x452)
% 0.53/0.70 [46]~P4(x463,x461)+P4(x461,x462)+~P4(x463,x462)
% 0.53/0.70 [47]~P5(x473,x471)+P5(x471,x472)+~P5(x473,x472)
% 0.53/0.70 [48]~P6(x483,x481)+P6(x481,x482)+~P6(x483,x482)
% 0.53/0.70 [55]~P2(x552,x554)+~P2(x551,x553)+P2(f23(x551,x552),f23(x553,x554))
% 0.53/0.70 [56]~P3(x562,x564)+~P13(x561,x563)+P2(f16(x561,x562),f16(x563,x564))
% 0.53/0.70 [57]~P2(x572,x574)+~P2(x571,x573)+P2(f22(x571,x572),f22(x573,x574))
% 0.53/0.70 [58]~P3(x582,x584)+~P7(x581,x583)+P4(f20(x581,x582),f20(x583,x584))
% 0.53/0.70 [59]~P14(x591,x593)+~P6(x592,x594)+P5(f17(x591,x592),f17(x593,x594))
% 0.53/0.70 [60]~P3(x601,x603)+~P2(x602,x604)+P6(f18(x601,x602),f18(x603,x604))
% 0.53/0.70 [66]P3(x661,x662)+P17(f20(a1,x661),x662)+~P11(f17(a2,f18(x661,x663)),f18(x662,x664))
% 0.53/0.70 [67]P3(x671,x672)+~P11(f17(a2,f18(x671,x673)),f18(x672,x674))+~P2(f16(f24(x673),x671),f27(a7))
% 0.53/0.70 [68]P17(f20(a1,x681),x682)+P16(f16(f24(x683),x682),f16(f24(x684),x682))+~P11(f17(a2,f18(x681,x683)),f18(x682,x684))
% 0.53/0.70 [69]P2(x691,x692)+~P11(f17(a2,f18(x693,x692)),f18(x694,x695))+~P11(f17(a2,f18(x696,x691)),f18(x694,x695))
% 0.53/0.70 [51]~P16(x513,x514)+P16(x511,x512)+~P2(x513,x511)+~P2(x514,x512)
% 0.53/0.70 [52]~P17(x524,x523)+P17(x521,x522)+~P3(x523,x522)+~P4(x524,x521)
% 0.53/0.70 [53]~P18(x533,x534)+P18(x531,x532)+~P2(x533,x531)+~P2(x534,x532)
% 0.53/0.70 [54]~P11(x543,x544)+P11(x541,x542)+~P5(x543,x541)+~P6(x544,x542)
% 0.53/0.70 [64]~P10(x646,x644,x645)+P10(x641,x642,x643)+~P13(x644,x642)+~P13(x645,x643)+~P7(x646,x641)
% 0.53/0.70 %EqnAxiom
% 0.53/0.70
% 0.53/0.70 %-------------------------------------------
% 0.53/0.70 cnf(70,plain,
% 0.53/0.70 (~P13(f24(a14),f24(f23(a11,f27(f21(a7)))))),
% 0.53/0.70 inference(scs_inference,[],[8,27,56])).
% 0.53/0.70 cnf(72,plain,
% 0.53/0.70 (P2(f25(a11),f25(a14))),
% 0.53/0.70 inference(scs_inference,[],[8,7,27,56,37])).
% 0.53/0.70 cnf(80,plain,
% 0.53/0.70 (P13(f24(a11),f24(a14))),
% 0.53/0.70 inference(scs_inference,[],[8,7,27,56,37,36,35,34,33])).
% 0.53/0.70 cnf(86,plain,
% 0.53/0.70 (P5(f17(f26(a3),x861),f17(a2,x861))),
% 0.53/0.70 inference(scs_inference,[],[8,16,7,18,19,27,56,37,36,35,34,33,43,61,59])).
% 0.53/0.70 cnf(111,plain,
% 0.53/0.70 (P13(x1111,x1111)),
% 0.53/0.70 inference(rename_variables,[],[11])).
% 0.53/0.70 cnf(127,plain,
% 0.53/0.70 (P2(f16(f24(a11),x1271),f16(f24(a14),x1271))),
% 0.53/0.70 inference(scs_inference,[],[25,17,8,11,111,22,12,13,70,86,72,80,39,64,43,45,57,55,33,50,56])).
% 0.53/0.70 cnf(152,plain,
% 0.53/0.70 (~P2(f16(f24(f23(a11,f27(f21(a7)))),a13),f16(f24(a14),a13))),
% 0.53/0.70 inference(scs_inference,[],[27,13,45])).
% 0.53/0.70 cnf(163,plain,
% 0.53/0.70 (P2(f16(f24(a11),a13),f16(f24(f23(a11,f27(f21(a7)))),a13))),
% 0.53/0.70 inference(scs_inference,[],[26,13,45])).
% 0.53/0.70 cnf(178,plain,
% 0.53/0.70 ($false),
% 0.53/0.70 inference(scs_inference,[],[152,163,127,45]),
% 0.53/0.70 ['proof']).
% 0.53/0.70 % SZS output end Proof
% 0.53/0.70 % Total time :0.070000s
%------------------------------------------------------------------------------