TSTP Solution File: SYN701-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN701-1 : 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 : n017.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 01:47:00 EDT 2023
% Result : Unsatisfiable 0.45s 0.68s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 17:07:56 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.45/0.67 %-------------------------------------------
% 0.45/0.67 % File :CSE---1.6
% 0.45/0.67 % Problem :theBenchmark
% 0.45/0.67 % Transform :cnf
% 0.45/0.67 % Format :tptp:raw
% 0.45/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.45/0.67
% 0.45/0.67 % Result :Theorem 0.040000s
% 0.45/0.67 % Output :CNFRefutation 0.040000s
% 0.45/0.67 %-------------------------------------------
% 0.45/0.67 %--------------------------------------------------------------------------
% 0.45/0.67 % File : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% 0.45/0.67 % Domain : Syntactic
% 0.45/0.67 % Problem : Harrison problem 4653
% 0.45/0.67 % Version : Especial.
% 0.45/0.67 % English :
% 0.45/0.67
% 0.45/0.67 % Refs : [Har01] Email to G. Sutcliffe
% 0.45/0.67 % Source : [Har01]
% 0.45/0.67 % Names :
% 0.45/0.67
% 0.45/0.67 % Status : Unsatisfiable
% 0.45/0.67 % Rating : 0.00 v7.0.0, 0.25 v6.4.0, 0.12 v6.3.0, 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
% 0.45/0.67 % Syntax : Number of clauses : 74 ( 31 unt; 2 nHn; 64 RR)
% 0.45/0.67 % Number of literals : 156 ( 0 equ; 83 neg)
% 0.45/0.67 % Maximal clause size : 5 ( 2 avg)
% 0.45/0.67 % Maximal term depth : 6 ( 1 avg)
% 0.45/0.67 % Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty)
% 0.45/0.67 % Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% 0.45/0.67 % Number of variables : 132 ( 5 sgn)
% 0.45/0.67 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.45/0.67
% 0.45/0.67 % Comments :
% 0.45/0.67 %--------------------------------------------------------------------------
% 0.45/0.67 cnf(c34_is_p25_1,negated_conjecture,
% 0.45/0.67 p25(c34) ).
% 0.45/0.67
% 0.45/0.67 cnf(c36_is_p29_2,negated_conjecture,
% 0.45/0.67 p29(c36) ).
% 0.45/0.67
% 0.45/0.67 cnf(f18_is_p30_3,negated_conjecture,
% 0.45/0.67 p30(f18(c41)) ).
% 0.45/0.67
% 0.45/0.67 cnf(f16_is_p28_4,negated_conjecture,
% 0.45/0.67 p28(f16(c38)) ).
% 0.45/0.67
% 0.45/0.67 cnf(f16_is_p28_5,negated_conjecture,
% 0.45/0.67 p28(f16(c39)) ).
% 0.45/0.67
% 0.45/0.67 cnf(f18_is_p30_6,negated_conjecture,
% 0.45/0.67 p30(f18(c40)) ).
% 0.45/0.67
% 0.45/0.67 cnf(p10_7,negated_conjecture,
% 0.45/0.67 p10(X5,X5) ).
% 0.45/0.67
% 0.45/0.67 cnf(p7_8,negated_conjecture,
% 0.45/0.67 p7(X112,X112) ).
% 0.45/0.67
% 0.45/0.67 cnf(p6_9,negated_conjecture,
% 0.45/0.67 p6(X109,X109) ).
% 0.45/0.67
% 0.45/0.67 cnf(p3_10,negated_conjecture,
% 0.45/0.67 p3(X88,X88) ).
% 0.45/0.67
% 0.45/0.67 cnf(p21_11,negated_conjecture,
% 0.45/0.67 p21(X68,X68) ).
% 0.45/0.67
% 0.45/0.67 cnf(p2_12,negated_conjecture,
% 0.45/0.67 p2(X43,X43) ).
% 0.45/0.67
% 0.45/0.67 cnf(p17_13,negated_conjecture,
% 0.45/0.67 p17(X28,X28) ).
% 0.45/0.67
% 0.45/0.67 cnf(p14_14,negated_conjecture,
% 0.45/0.67 p14(X19,X19) ).
% 0.45/0.67
% 0.45/0.67 cnf(p12_15,negated_conjecture,
% 0.45/0.67 p12(X12,X12) ).
% 0.45/0.67
% 0.45/0.67 cnf(p2_16,negated_conjecture,
% 0.45/0.67 p2(c44,c46) ).
% 0.45/0.67
% 0.45/0.67 cnf(p31_17,negated_conjecture,
% 0.45/0.67 p31(c47,c42) ).
% 0.45/0.67
% 0.45/0.67 cnf(p31_18,negated_conjecture,
% 0.45/0.67 p31(c46,f5(c42)) ).
% 0.45/0.67
% 0.45/0.67 cnf(p31_19,negated_conjecture,
% 0.45/0.67 p31(c44,f5(c42)) ).
% 0.45/0.67
% 0.45/0.67 cnf(p7_20,negated_conjecture,
% 0.45/0.67 p7(f8(c35),c36) ).
% 0.45/0.67
% 0.45/0.67 cnf(p32_21,negated_conjecture,
% 0.45/0.67 p32(f22(c34,c45),c48) ).
% 0.45/0.67
% 0.45/0.67 cnf(p32_22,negated_conjecture,
% 0.45/0.67 p32(f22(c34,c45),c43) ).
% 0.45/0.67
% 0.45/0.67 cnf(p31_23,negated_conjecture,
% 0.45/0.67 p31(f23(c44,f9(f20(c37))),c46) ).
% 0.45/0.67
% 0.45/0.67 cnf(p26_24,negated_conjecture,
% 0.45/0.67 p26(c34,f4(f5(X79)),f4(X79)) ).
% 0.45/0.67
% 0.45/0.67 cnf(p25_25,negated_conjecture,
% 0.45/0.67 ( p25(X71)
% 0.45/0.67 | ~ p25(X72)
% 0.45/0.67 | ~ p21(X72,X71) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p30_26,negated_conjecture,
% 0.45/0.67 ( p30(X93)
% 0.45/0.67 | ~ p30(X94)
% 0.45/0.67 | ~ p17(X94,X93) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p29_27,negated_conjecture,
% 0.45/0.67 ( p29(X86)
% 0.45/0.67 | ~ p29(X87)
% 0.45/0.67 | ~ p7(X87,X86) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p28_28,negated_conjecture,
% 0.45/0.67 ( p28(X84)
% 0.45/0.67 | ~ p28(X85)
% 0.45/0.67 | ~ p14(X85,X84) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p14_29,negated_conjecture,
% 0.45/0.67 ( p14(f16(X26),f16(X27))
% 0.45/0.67 | ~ p14(X26,X27) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p7_30,negated_conjecture,
% 0.45/0.67 ( p7(f8(X115),f8(X116))
% 0.45/0.67 | ~ p6(X115,X116) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p3_31,negated_conjecture,
% 0.45/0.67 ( p3(f4(X91),f4(X92))
% 0.45/0.67 | ~ p2(X91,X92) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p2_32,negated_conjecture,
% 0.45/0.67 ( p2(f9(X66),f9(X67))
% 0.45/0.67 | ~ p2(X66,X67) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p2_33,negated_conjecture,
% 0.45/0.67 ( p2(f5(X64),f5(X65))
% 0.45/0.67 | ~ p2(X64,X65) ) ).
% 0.45/0.67
% 0.45/0.67 cnf(p2_34,negated_conjecture,
% 0.45/0.67 ( p2(f24(X62),f24(X63))
% 0.45/0.67 | ~ p2(X62,X63) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_35,negated_conjecture,
% 0.45/0.68 ( p2(f20(X56),f20(X57))
% 0.45/0.68 | ~ p2(X56,X57) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p17_36,negated_conjecture,
% 0.45/0.68 ( p17(f18(X31),f18(X32))
% 0.45/0.68 | ~ p17(X31,X32) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p10_37,negated_conjecture,
% 0.45/0.68 ( p10(X6,X7)
% 0.45/0.68 | ~ p10(X5,X6)
% 0.45/0.68 | ~ p10(X5,X7) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p7_38,negated_conjecture,
% 0.45/0.68 ( p7(X113,X114)
% 0.45/0.68 | ~ p7(X112,X113)
% 0.45/0.68 | ~ p7(X112,X114) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p6_39,negated_conjecture,
% 0.45/0.68 ( p6(X110,X111)
% 0.45/0.68 | ~ p6(X109,X110)
% 0.45/0.68 | ~ p6(X109,X111) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p3_40,negated_conjecture,
% 0.45/0.68 ( p3(X89,X90)
% 0.45/0.68 | ~ p3(X88,X89)
% 0.45/0.68 | ~ p3(X88,X90) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p21_41,negated_conjecture,
% 0.45/0.68 ( p21(X69,X70)
% 0.45/0.68 | ~ p21(X68,X69)
% 0.45/0.68 | ~ p21(X68,X70) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_42,negated_conjecture,
% 0.45/0.68 ( p2(X44,X45)
% 0.45/0.68 | ~ p2(X43,X44)
% 0.45/0.68 | ~ p2(X43,X45) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p17_43,negated_conjecture,
% 0.45/0.68 ( p17(X29,X30)
% 0.45/0.68 | ~ p17(X28,X29)
% 0.45/0.68 | ~ p17(X28,X30) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p14_44,negated_conjecture,
% 0.45/0.68 ( p14(X20,X21)
% 0.45/0.68 | ~ p14(X19,X20)
% 0.45/0.68 | ~ p14(X19,X21) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p12_45,negated_conjecture,
% 0.45/0.68 ( p12(X13,X14)
% 0.45/0.68 | ~ p12(X12,X13)
% 0.45/0.68 | ~ p12(X12,X14) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p33_46,negated_conjecture,
% 0.45/0.68 p33(f11(f4(f5(c42)),c45),f11(f4(c42),c45)) ).
% 0.45/0.68
% 0.45/0.68 cnf(p31_47,negated_conjecture,
% 0.45/0.68 ( p31(X95,f24(X95))
% 0.45/0.68 | ~ p31(X95,c44)
% 0.45/0.68 | ~ p31(X95,f5(c42)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p31_48,negated_conjecture,
% 0.45/0.68 ( p31(f24(X95),f5(c42))
% 0.45/0.68 | ~ p31(X95,c44)
% 0.45/0.68 | ~ p31(X95,f5(c42)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p33_49,negated_conjecture,
% 0.45/0.68 ( p33(X105,X106)
% 0.45/0.68 | ~ p2(X108,X106)
% 0.45/0.68 | ~ p33(X107,X108)
% 0.45/0.68 | ~ p2(X107,X105) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p27_50,negated_conjecture,
% 0.45/0.68 ( p27(X80,X81)
% 0.45/0.68 | ~ p14(X83,X80)
% 0.45/0.68 | ~ p27(X83,X82)
% 0.45/0.68 | ~ p12(X82,X81) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p31_51,negated_conjecture,
% 0.45/0.68 ( p31(X96,X97)
% 0.45/0.68 | ~ p2(X99,X97)
% 0.45/0.68 | ~ p31(X98,X99)
% 0.45/0.68 | ~ p2(X98,X96) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p32_52,negated_conjecture,
% 0.45/0.68 ( p32(X100,X101)
% 0.45/0.68 | ~ p17(X103,X100)
% 0.45/0.68 | ~ p32(X103,X102)
% 0.45/0.68 | ~ p10(X102,X101) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_53,negated_conjecture,
% 0.45/0.68 p2(f11(f4(c47),c48),f19(f11(f4(c42),c48),f9(f20(c37)))) ).
% 0.45/0.68
% 0.45/0.68 cnf(p33_54,negated_conjecture,
% 0.45/0.68 p33(f11(f4(c42),c45),f11(f4(f23(c42,f9(f20(c37)))),c45)) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_55,negated_conjecture,
% 0.45/0.68 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
% 0.45/0.68
% 0.45/0.68 cnf(not_p2_56,negated_conjecture,
% 0.45/0.68 ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ).
% 0.45/0.68
% 0.45/0.68 cnf(not_p2_57,negated_conjecture,
% 0.45/0.68 ~ p2(f11(f4(f23(c47,f9(f20(c37)))),c48),f11(f4(c47),c48)) ).
% 0.45/0.68
% 0.45/0.68 cnf(p10_58,negated_conjecture,
% 0.45/0.68 ( p10(X0,c43)
% 0.45/0.68 | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p12_59,negated_conjecture,
% 0.45/0.68 ( p12(f13(X15,X16),f13(X17,X18))
% 0.45/0.68 | ~ p10(X15,X17)
% 0.45/0.68 | ~ p2(X16,X18) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_60,negated_conjecture,
% 0.45/0.68 ( p2(f23(X58,X59),f23(X60,X61))
% 0.45/0.68 | ~ p2(X58,X60)
% 0.45/0.68 | ~ p2(X59,X61) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_61,negated_conjecture,
% 0.45/0.68 ( p2(f19(X52,X53),f19(X54,X55))
% 0.45/0.68 | ~ p2(X52,X54)
% 0.45/0.68 | ~ p2(X53,X55) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_62,negated_conjecture,
% 0.45/0.68 ( p2(f11(X46,X47),f11(X48,X49))
% 0.45/0.68 | ~ p10(X47,X49)
% 0.45/0.68 | ~ p3(X46,X48) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p17_63,negated_conjecture,
% 0.45/0.68 ( p17(f22(X33,X34),f22(X35,X36))
% 0.45/0.68 | ~ p10(X34,X36)
% 0.45/0.68 | ~ p21(X33,X35) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p14_64,negated_conjecture,
% 0.45/0.68 ( p14(f15(X22,X23),f15(X24,X25))
% 0.45/0.68 | ~ p12(X23,X25)
% 0.45/0.68 | ~ p7(X22,X24) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_65,negated_conjecture,
% 0.45/0.68 p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ).
% 0.45/0.68
% 0.45/0.68 cnf(p32_66,negated_conjecture,
% 0.45/0.68 ( p32(f22(c34,X104),c43)
% 0.45/0.68 | ~ p33(f11(f4(f5(c42)),X104),f11(f4(c42),X104)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_67,negated_conjecture,
% 0.45/0.68 ( p2(f11(f4(X51),c48),f11(f4(c47),c48))
% 0.45/0.68 | ~ p31(X51,c42)
% 0.45/0.68 | ~ p31(c47,X51) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_68,negated_conjecture,
% 0.45/0.68 ( p2(f11(f4(X50),c43),f11(f4(c44),c43))
% 0.45/0.68 | ~ p31(c44,X50)
% 0.45/0.68 | ~ p31(X50,f5(c42)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p10_69,negated_conjecture,
% 0.45/0.68 ( p10(X1,X2)
% 0.45/0.68 | p32(f22(c34,X1),X2)
% 0.45/0.68 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(not_p31_70,negated_conjecture,
% 0.45/0.68 ( ~ p31(X95,c44)
% 0.45/0.68 | ~ p31(X95,f5(c42))
% 0.45/0.68 | ~ p2(f11(f4(f24(X95)),c43),f11(f4(X95),c43)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p26_71,negated_conjecture,
% 0.45/0.68 ( p26(X73,X74,X75)
% 0.45/0.68 | ~ p3(X78,X75)
% 0.45/0.68 | ~ p3(X77,X74)
% 0.45/0.68 | ~ p21(X76,X73)
% 0.45/0.68 | ~ p26(X76,X77,X78) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p10_72,negated_conjecture,
% 0.45/0.68 ( p10(X8,X9)
% 0.45/0.68 | ~ p2(f11(f4(X10),X8),f9(c37))
% 0.45/0.68 | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p2_73,negated_conjecture,
% 0.45/0.68 ( p2(X37,X38)
% 0.45/0.68 | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41))
% 0.45/0.68 | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ).
% 0.45/0.68
% 0.45/0.68 cnf(p32_74,negated_conjecture,
% 0.45/0.68 ( p32(f22(c34,X1),X2)
% 0.45/0.68 | p31(f11(f4(X3),X2),f11(f4(X4),X2))
% 0.45/0.68 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.45/0.68
% 0.45/0.68 %--------------------------------------------------------------------------
% 0.45/0.68 %-------------------------------------------
% 0.45/0.68 % Proof found
% 0.45/0.68 % SZS status Theorem for theBenchmark
% 0.45/0.68 % SZS output start Proof
% 0.45/0.68 %ClaNum:74(EqnAxiom:0)
% 0.45/0.68 %VarNum:273(SingletonVarNum:132)
% 0.45/0.68 %MaxLitNum:5
% 0.45/0.68 %MaxfuncDepth:5
% 0.45/0.68 %SharedTerms:70
% 0.45/0.68 %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 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74
% 0.45/0.68 %singleGoalClaCount:31
% 0.45/0.68 [1]P1(a1)
% 0.45/0.68 [2]P8(a2)
% 0.45/0.68 [7]P2(a11,a14)
% 0.45/0.68 [8]P14(a16,a12)
% 0.45/0.68 [3]P12(f9(a4))
% 0.45/0.68 [4]P12(f9(a5))
% 0.45/0.68 [5]P9(f10(a6))
% 0.45/0.68 [6]P9(f10(a8))
% 0.45/0.68 [18]P14(a11,f21(a12))
% 0.45/0.68 [19]P14(a14,f21(a12))
% 0.45/0.68 [20]P15(f28(a3),a2)
% 0.45/0.68 [21]P17(f22(a1,a15),a17)
% 0.45/0.68 [22]P17(f22(a1,a15),a13)
% 0.45/0.68 [23]P14(f25(a11,f29(f23(a7))),a14)
% 0.45/0.68 [25]P18(f18(f26(f21(a12)),a15),f18(f26(a12),a15))
% 0.45/0.68 [26]P2(f18(f26(a16),a17),f24(f18(f26(a12),a17),f29(f23(a7))))
% 0.45/0.68 [27]P2(f24(f18(f26(f21(a12)),a13),f29(f23(a7))),f18(f26(a12),a13))
% 0.45/0.68 [28]P18(f18(f26(a12),a15),f18(f26(f25(a12,f29(f23(a7)))),a15))
% 0.45/0.68 [29]P2(f18(f26(f25(a11,f29(f23(a7)))),a13),f18(f26(a11),a13))
% 0.45/0.68 [30]~P2(f18(f26(a14),a13),f18(f26(f25(a11,f29(f23(a7)))),a13))
% 0.45/0.68 [31]~P2(f18(f26(f25(a16,f29(f23(a7)))),a17),f18(f26(a16),a17))
% 0.45/0.68 [9]P3(x91,x91)
% 0.45/0.68 [10]P15(x101,x101)
% 0.45/0.68 [11]P16(x111,x111)
% 0.45/0.68 [12]P13(x121,x121)
% 0.45/0.68 [13]P7(x131,x131)
% 0.45/0.68 [14]P2(x141,x141)
% 0.45/0.68 [15]P4(x151,x151)
% 0.45/0.68 [16]P5(x161,x161)
% 0.45/0.68 [17]P6(x171,x171)
% 0.45/0.68 [24]P10(a1,f26(f21(x241)),f26(x241))
% 0.45/0.68 [67]P3(x671,a13)+~P14(f18(f26(f21(a12)),x671),f18(f26(a12),x671))
% 0.45/0.68 [68]P17(f22(a1,x681),a13)+~P18(f18(f26(f21(a12)),x681),f18(f26(a12),x681))
% 0.45/0.68 [36]~P16(x361,x362)+P15(f28(x361),f28(x362))
% 0.45/0.68 [37]~P2(x371,x372)+P13(f26(x371),f26(x372))
% 0.45/0.68 [38]~P2(x381,x382)+P2(f21(x381),f21(x382))
% 0.45/0.68 [39]~P2(x391,x392)+P2(f23(x391),f23(x392))
% 0.45/0.68 [40]~P2(x401,x402)+P2(f29(x401),f29(x402))
% 0.45/0.68 [41]~P2(x411,x412)+P2(f27(x411),f27(x412))
% 0.45/0.68 [42]~P4(x421,x422)+P4(f9(x421),f9(x422))
% 0.45/0.68 [43]~P5(x431,x432)+P5(f10(x431),f10(x432))
% 0.45/0.68 [53]~P14(x531,a11)+P14(x531,f27(x531))+~P14(x531,f21(a12))
% 0.45/0.68 [54]~P14(x541,a11)+~P14(x541,f21(a12))+P14(f27(x541),f21(a12))
% 0.45/0.68 [65]~P14(x651,a12)+~P14(a16,x651)+P2(f18(f26(x651),a17),f18(f26(a16),a17))
% 0.45/0.68 [66]~P14(a11,x661)+~P14(x661,f21(a12))+P2(f18(f26(x661),a13),f18(f26(a11),a13))
% 0.45/0.68 [70]~P14(x701,a11)+~P14(x701,f21(a12))+~P2(f18(f26(f27(x701)),a13),f18(f26(x701),a13))
% 0.45/0.68 [32]~P7(x322,x321)+P1(x321)+~P1(x322)
% 0.45/0.68 [33]~P15(x332,x331)+P8(x331)+~P8(x332)
% 0.45/0.68 [34]~P4(x342,x341)+P12(x341)+~P12(x342)
% 0.45/0.68 [35]~P5(x352,x351)+P9(x351)+~P9(x352)
% 0.45/0.68 [44]~P3(x443,x441)+P3(x441,x442)+~P3(x443,x442)
% 0.45/0.68 [45]~P15(x453,x451)+P15(x451,x452)+~P15(x453,x452)
% 0.45/0.68 [46]~P16(x463,x461)+P16(x461,x462)+~P16(x463,x462)
% 0.45/0.68 [47]~P13(x473,x471)+P13(x471,x472)+~P13(x473,x472)
% 0.45/0.68 [48]~P7(x483,x481)+P7(x481,x482)+~P7(x483,x482)
% 0.45/0.68 [49]~P2(x493,x491)+P2(x491,x492)+~P2(x493,x492)
% 0.45/0.68 [50]~P4(x503,x501)+P4(x501,x502)+~P4(x503,x502)
% 0.45/0.68 [51]~P5(x513,x511)+P5(x511,x512)+~P5(x513,x512)
% 0.45/0.68 [52]~P6(x523,x521)+P6(x521,x522)+~P6(x523,x522)
% 0.45/0.68 [59]~P2(x592,x594)+~P2(x591,x593)+P2(f25(x591,x592),f25(x593,x594))
% 0.45/0.68 [60]~P3(x602,x604)+~P13(x601,x603)+P2(f18(x601,x602),f18(x603,x604))
% 0.45/0.68 [61]~P2(x612,x614)+~P2(x611,x613)+P2(f24(x611,x612),f24(x613,x614))
% 0.45/0.68 [62]~P3(x622,x624)+~P7(x621,x623)+P4(f22(x621,x622),f22(x623,x624))
% 0.45/0.68 [63]~P15(x631,x633)+~P6(x632,x634)+P5(f19(x631,x632),f19(x633,x634))
% 0.45/0.68 [64]~P3(x641,x643)+~P2(x642,x644)+P6(f20(x641,x642),f20(x643,x644))
% 0.45/0.68 [71]P3(x711,x712)+P17(f22(a1,x711),x712)+~P11(f19(a2,f20(x711,x713)),f20(x712,x714))
% 0.45/0.68 [72]P3(x721,x722)+~P11(f19(a2,f20(x721,x723)),f20(x722,x724))+~P2(f18(f26(x723),x721),f29(a7))
% 0.45/0.68 [73]P17(f22(a1,x731),x732)+P14(f18(f26(x733),x732),f18(f26(x734),x732))+~P11(f19(a2,f20(x731,x733)),f20(x732,x734))
% 0.45/0.68 [74]P2(x741,x742)+~P11(f19(a2,f20(x743,x742)),f20(x744,x745))+~P11(f19(a2,f20(x746,x741)),f20(x744,x745))
% 0.45/0.68 [55]~P14(x553,x554)+P14(x551,x552)+~P2(x553,x551)+~P2(x554,x552)
% 0.45/0.68 [56]~P17(x564,x563)+P17(x561,x562)+~P3(x563,x562)+~P4(x564,x561)
% 0.45/0.68 [57]~P18(x573,x574)+P18(x571,x572)+~P2(x573,x571)+~P2(x574,x572)
% 0.45/0.68 [58]~P11(x583,x584)+P11(x581,x582)+~P5(x583,x581)+~P6(x584,x582)
% 0.45/0.68 [69]~P10(x696,x694,x695)+P10(x691,x692,x693)+~P13(x694,x692)+~P13(x695,x693)+~P7(x696,x691)
% 0.45/0.68 %EqnAxiom
% 0.45/0.68
% 0.45/0.68 %-------------------------------------------
% 0.45/0.68 cnf(75,plain,
% 0.45/0.68 (~P13(f26(f25(a16,f29(f23(a7)))),f26(a16))),
% 0.45/0.68 inference(scs_inference,[],[9,31,60])).
% 0.45/0.68 cnf(85,plain,
% 0.45/0.68 (P13(f26(a11),f26(a14))),
% 0.45/0.68 inference(scs_inference,[],[9,7,31,60,41,40,39,38,37])).
% 0.45/0.68 cnf(89,plain,
% 0.45/0.68 (P5(f19(f28(a3),x891),f19(a2,x891))),
% 0.45/0.68 inference(scs_inference,[],[9,17,7,8,20,31,60,41,40,39,38,37,65,63])).
% 0.45/0.68 cnf(132,plain,
% 0.45/0.68 (P2(f18(f26(a11),x1321),f18(f26(a14),x1321))),
% 0.45/0.69 inference(scs_inference,[],[19,26,9,12,24,13,14,75,89,85,43,59,37,61,69,49,54,64,60])).
% 0.45/0.69 cnf(143,plain,
% 0.45/0.69 (~P13(f26(a14),f26(f25(a11,f29(f23(a7)))))),
% 0.45/0.69 inference(scs_inference,[],[30,27,9,37,60])).
% 0.45/0.69 cnf(146,plain,
% 0.45/0.69 (~P2(f18(f26(a11),a13),f18(f26(f25(a11,f29(f23(a7)))),a13))),
% 0.45/0.69 inference(scs_inference,[],[30,27,9,132,37,60,49])).
% 0.45/0.69 cnf(164,plain,
% 0.45/0.69 (~P13(f26(a11),f26(f25(a11,f29(f23(a7)))))),
% 0.45/0.69 inference(scs_inference,[],[9,146,143,37,60])).
% 0.45/0.69 cnf(197,plain,
% 0.45/0.69 ($false),
% 0.45/0.69 inference(scs_inference,[],[29,27,9,14,164,146,64,37,49]),
% 0.45/0.69 ['proof']).
% 0.45/0.69 % SZS output end Proof
% 0.45/0.69 % Total time :0.040000s
%------------------------------------------------------------------------------