TSTP Solution File: SYN698-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN698-1 : 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 : n031.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 0.21s 0.75s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN698-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.36 % Computer : n031.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 18:43:53 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 % File :CSE---1.6
% 0.21/0.73 % Problem :theBenchmark
% 0.21/0.73 % Transform :cnf
% 0.21/0.73 % Format :tptp:raw
% 0.21/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.73
% 0.21/0.73 % Result :Theorem 0.100000s
% 0.21/0.73 % Output :CNFRefutation 0.100000s
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 %--------------------------------------------------------------------------
% 0.21/0.73 % File : SYN698-1 : TPTP v8.1.2. Released v2.5.0.
% 0.21/0.73 % Domain : Syntactic
% 0.21/0.73 % Problem : Harrison problem 4650
% 0.21/0.73 % Version : Especial.
% 0.21/0.73 % English :
% 0.21/0.73
% 0.21/0.73 % Refs : [Har01] Email to G. Sutcliffe
% 0.21/0.73 % Source : [Har01]
% 0.21/0.73 % Names :
% 0.21/0.73
% 0.21/0.73 % Status : Unsatisfiable
% 0.21/0.73 % Rating : 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.0.0, 0.00 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.36 v4.1.0, 0.25 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% 0.21/0.73 % Syntax : Number of clauses : 74 ( 31 unt; 2 nHn; 64 RR)
% 0.21/0.73 % Number of literals : 156 ( 0 equ; 82 neg)
% 0.21/0.74 % Maximal clause size : 5 ( 2 avg)
% 0.21/0.74 % Maximal term depth : 6 ( 1 avg)
% 0.21/0.74 % Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty)
% 0.21/0.74 % Number of functors : 29 ( 29 usr; 15 con; 0-2 aty)
% 0.21/0.74 % Number of variables : 132 ( 5 sgn)
% 0.21/0.74 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.21/0.74
% 0.21/0.74 % Comments :
% 0.21/0.74 %--------------------------------------------------------------------------
% 0.21/0.74 cnf(c34_is_p25_1,negated_conjecture,
% 0.21/0.74 p25(c34) ).
% 0.21/0.74
% 0.21/0.74 cnf(c36_is_p29_2,negated_conjecture,
% 0.21/0.74 p29(c36) ).
% 0.21/0.74
% 0.21/0.74 cnf(f18_is_p30_3,negated_conjecture,
% 0.21/0.74 p30(f18(c41)) ).
% 0.21/0.74
% 0.21/0.74 cnf(f16_is_p28_4,negated_conjecture,
% 0.21/0.74 p28(f16(c38)) ).
% 0.21/0.74
% 0.21/0.74 cnf(f16_is_p28_5,negated_conjecture,
% 0.21/0.74 p28(f16(c39)) ).
% 0.21/0.74
% 0.21/0.74 cnf(f18_is_p30_6,negated_conjecture,
% 0.21/0.74 p30(f18(c40)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p10_7,negated_conjecture,
% 0.21/0.74 p10(X5,X5) ).
% 0.21/0.74
% 0.21/0.74 cnf(p7_8,negated_conjecture,
% 0.21/0.74 p7(X112,X112) ).
% 0.21/0.74
% 0.21/0.74 cnf(p6_9,negated_conjecture,
% 0.21/0.74 p6(X109,X109) ).
% 0.21/0.74
% 0.21/0.74 cnf(p3_10,negated_conjecture,
% 0.21/0.74 p3(X88,X88) ).
% 0.21/0.74
% 0.21/0.74 cnf(p21_11,negated_conjecture,
% 0.21/0.74 p21(X68,X68) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_12,negated_conjecture,
% 0.21/0.74 p2(X43,X43) ).
% 0.21/0.74
% 0.21/0.74 cnf(p17_13,negated_conjecture,
% 0.21/0.74 p17(X28,X28) ).
% 0.21/0.74
% 0.21/0.74 cnf(p14_14,negated_conjecture,
% 0.21/0.74 p14(X19,X19) ).
% 0.21/0.74
% 0.21/0.74 cnf(p12_15,negated_conjecture,
% 0.21/0.74 p12(X12,X12) ).
% 0.21/0.74
% 0.21/0.74 cnf(p10_16,negated_conjecture,
% 0.21/0.74 p10(c45,c48) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_17,negated_conjecture,
% 0.21/0.74 p31(c47,c42) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_18,negated_conjecture,
% 0.21/0.74 p2(c44,c46) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_19,negated_conjecture,
% 0.21/0.74 p31(c46,f5(c42)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_20,negated_conjecture,
% 0.21/0.74 p2(c47,f9(c37)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_21,negated_conjecture,
% 0.21/0.74 p31(c44,f5(c42)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p7_22,negated_conjecture,
% 0.21/0.74 p7(f8(c35),c36) ).
% 0.21/0.74
% 0.21/0.74 cnf(p32_23,negated_conjecture,
% 0.21/0.74 p32(f22(c34,c45),c43) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_24,negated_conjecture,
% 0.21/0.74 p31(f23(c44,f9(f20(c37))),c46) ).
% 0.21/0.74
% 0.21/0.74 cnf(p26_25,negated_conjecture,
% 0.21/0.74 p26(c34,f4(f5(X79)),f4(X79)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p25_26,negated_conjecture,
% 0.21/0.74 ( p25(X71)
% 0.21/0.74 | ~ p25(X72)
% 0.21/0.74 | ~ p21(X72,X71) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p30_27,negated_conjecture,
% 0.21/0.74 ( p30(X93)
% 0.21/0.74 | ~ p30(X94)
% 0.21/0.74 | ~ p17(X94,X93) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p29_28,negated_conjecture,
% 0.21/0.74 ( p29(X86)
% 0.21/0.74 | ~ p29(X87)
% 0.21/0.74 | ~ p7(X87,X86) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p28_29,negated_conjecture,
% 0.21/0.74 ( p28(X84)
% 0.21/0.74 | ~ p28(X85)
% 0.21/0.74 | ~ p14(X85,X84) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p7_30,negated_conjecture,
% 0.21/0.74 ( p7(f8(X115),f8(X116))
% 0.21/0.74 | ~ p6(X115,X116) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p14_31,negated_conjecture,
% 0.21/0.74 ( p14(f16(X26),f16(X27))
% 0.21/0.74 | ~ p14(X26,X27) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p17_32,negated_conjecture,
% 0.21/0.74 ( p17(f18(X31),f18(X32))
% 0.21/0.74 | ~ p17(X31,X32) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_33,negated_conjecture,
% 0.21/0.74 ( p2(f20(X56),f20(X57))
% 0.21/0.74 | ~ p2(X56,X57) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_34,negated_conjecture,
% 0.21/0.74 ( p2(f24(X62),f24(X63))
% 0.21/0.74 | ~ p2(X62,X63) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_35,negated_conjecture,
% 0.21/0.74 ( p2(f5(X64),f5(X65))
% 0.21/0.74 | ~ p2(X64,X65) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_36,negated_conjecture,
% 0.21/0.74 ( p2(f9(X66),f9(X67))
% 0.21/0.74 | ~ p2(X66,X67) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p3_37,negated_conjecture,
% 0.21/0.74 ( p3(f4(X91),f4(X92))
% 0.21/0.74 | ~ p2(X91,X92) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p10_38,negated_conjecture,
% 0.21/0.74 ( p10(X6,X7)
% 0.21/0.74 | ~ p10(X5,X6)
% 0.21/0.74 | ~ p10(X5,X7) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p7_39,negated_conjecture,
% 0.21/0.74 ( p7(X113,X114)
% 0.21/0.74 | ~ p7(X112,X113)
% 0.21/0.74 | ~ p7(X112,X114) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p6_40,negated_conjecture,
% 0.21/0.74 ( p6(X110,X111)
% 0.21/0.74 | ~ p6(X109,X110)
% 0.21/0.74 | ~ p6(X109,X111) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p3_41,negated_conjecture,
% 0.21/0.74 ( p3(X89,X90)
% 0.21/0.74 | ~ p3(X88,X89)
% 0.21/0.74 | ~ p3(X88,X90) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p21_42,negated_conjecture,
% 0.21/0.74 ( p21(X69,X70)
% 0.21/0.74 | ~ p21(X68,X69)
% 0.21/0.74 | ~ p21(X68,X70) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_43,negated_conjecture,
% 0.21/0.74 ( p2(X44,X45)
% 0.21/0.74 | ~ p2(X43,X44)
% 0.21/0.74 | ~ p2(X43,X45) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p17_44,negated_conjecture,
% 0.21/0.74 ( p17(X29,X30)
% 0.21/0.74 | ~ p17(X28,X29)
% 0.21/0.74 | ~ p17(X28,X30) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p14_45,negated_conjecture,
% 0.21/0.74 ( p14(X20,X21)
% 0.21/0.74 | ~ p14(X19,X20)
% 0.21/0.74 | ~ p14(X19,X21) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p12_46,negated_conjecture,
% 0.21/0.74 ( p12(X13,X14)
% 0.21/0.74 | ~ p12(X12,X13)
% 0.21/0.74 | ~ p12(X12,X14) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p33_47,negated_conjecture,
% 0.21/0.74 p33(f11(f4(f5(c42)),c45),f11(f4(c42),c45)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_48,negated_conjecture,
% 0.21/0.74 ( p31(X95,f24(X95))
% 0.21/0.74 | ~ p31(X95,c44)
% 0.21/0.74 | ~ p31(X95,f5(c42)) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_49,negated_conjecture,
% 0.21/0.74 ( p31(f24(X95),f5(c42))
% 0.21/0.74 | ~ p31(X95,c44)
% 0.21/0.74 | ~ p31(X95,f5(c42)) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p33_50,negated_conjecture,
% 0.21/0.74 ( p33(X105,X106)
% 0.21/0.74 | ~ p2(X108,X106)
% 0.21/0.74 | ~ p33(X107,X108)
% 0.21/0.74 | ~ p2(X107,X105) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p27_51,negated_conjecture,
% 0.21/0.74 ( p27(X80,X81)
% 0.21/0.74 | ~ p14(X83,X80)
% 0.21/0.74 | ~ p27(X83,X82)
% 0.21/0.74 | ~ p12(X82,X81) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_52,negated_conjecture,
% 0.21/0.74 ( p31(X96,X97)
% 0.21/0.74 | ~ p2(X99,X97)
% 0.21/0.74 | ~ p31(X98,X99)
% 0.21/0.74 | ~ p2(X98,X96) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p32_53,negated_conjecture,
% 0.21/0.74 ( p32(X100,X101)
% 0.21/0.74 | ~ p17(X103,X100)
% 0.21/0.74 | ~ p32(X103,X102)
% 0.21/0.74 | ~ p10(X102,X101) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_54,negated_conjecture,
% 0.21/0.74 p2(f11(f4(c47),c48),f19(f11(f4(c42),c48),f9(f20(c37)))) ).
% 0.21/0.74
% 0.21/0.74 cnf(p31_55,negated_conjecture,
% 0.21/0.74 p31(f11(f4(c42),c45),f11(f4(f23(c42,f9(f20(c37)))),c45)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_56,negated_conjecture,
% 0.21/0.74 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
% 0.21/0.74
% 0.21/0.74 cnf(not_p2_57,negated_conjecture,
% 0.21/0.74 ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ).
% 0.21/0.74
% 0.21/0.74 cnf(p10_58,negated_conjecture,
% 0.21/0.74 ( p10(X0,c43)
% 0.21/0.74 | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p12_59,negated_conjecture,
% 0.21/0.74 ( p12(f13(X15,X16),f13(X17,X18))
% 0.21/0.74 | ~ p10(X15,X17)
% 0.21/0.74 | ~ p2(X16,X18) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_60,negated_conjecture,
% 0.21/0.74 ( p2(f23(X58,X59),f23(X60,X61))
% 0.21/0.74 | ~ p2(X58,X60)
% 0.21/0.74 | ~ p2(X59,X61) ) ).
% 0.21/0.74
% 0.21/0.74 cnf(p2_61,negated_conjecture,
% 0.21/0.75 ( p2(f19(X52,X53),f19(X54,X55))
% 0.21/0.75 | ~ p2(X52,X54)
% 0.21/0.75 | ~ p2(X53,X55) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p2_62,negated_conjecture,
% 0.21/0.75 ( p2(f11(X46,X47),f11(X48,X49))
% 0.21/0.75 | ~ p10(X47,X49)
% 0.21/0.75 | ~ p3(X46,X48) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p17_63,negated_conjecture,
% 0.21/0.75 ( p17(f22(X33,X34),f22(X35,X36))
% 0.21/0.75 | ~ p10(X34,X36)
% 0.21/0.75 | ~ p21(X33,X35) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p14_64,negated_conjecture,
% 0.21/0.75 ( p14(f15(X22,X23),f15(X24,X25))
% 0.21/0.75 | ~ p12(X23,X25)
% 0.21/0.75 | ~ p7(X22,X24) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p2_65,negated_conjecture,
% 0.21/0.75 p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ).
% 0.21/0.75
% 0.21/0.75 cnf(p32_66,negated_conjecture,
% 0.21/0.75 ( p32(f22(c34,X104),c43)
% 0.21/0.75 | ~ p33(f11(f4(f5(c42)),X104),f11(f4(c42),X104)) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p2_67,negated_conjecture,
% 0.21/0.75 ( p2(f11(f4(X51),c48),f11(f4(c47),c48))
% 0.21/0.75 | ~ p31(X51,c42)
% 0.21/0.75 | ~ p31(c47,X51) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p2_68,negated_conjecture,
% 0.21/0.75 ( p2(f11(f4(X50),c43),f11(f4(c44),c43))
% 0.21/0.75 | ~ p31(c44,X50)
% 0.21/0.75 | ~ p31(X50,f5(c42)) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p10_69,negated_conjecture,
% 0.21/0.75 ( p10(X1,X2)
% 0.21/0.75 | p32(f22(c34,X1),X2)
% 0.21/0.75 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(not_p31_70,negated_conjecture,
% 0.21/0.75 ( ~ p31(X95,c44)
% 0.21/0.75 | ~ p31(X95,f5(c42))
% 0.21/0.75 | ~ p2(f11(f4(f24(X95)),c43),f11(f4(X95),c43)) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p26_71,negated_conjecture,
% 0.21/0.75 ( p26(X73,X74,X75)
% 0.21/0.75 | ~ p3(X78,X75)
% 0.21/0.75 | ~ p3(X77,X74)
% 0.21/0.75 | ~ p21(X76,X73)
% 0.21/0.75 | ~ p26(X76,X77,X78) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p10_72,negated_conjecture,
% 0.21/0.75 ( p10(X8,X9)
% 0.21/0.75 | ~ p2(f11(f4(X10),X8),f9(c37))
% 0.21/0.75 | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p2_73,negated_conjecture,
% 0.21/0.75 ( p2(X37,X38)
% 0.21/0.75 | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41))
% 0.21/0.75 | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ).
% 0.21/0.75
% 0.21/0.75 cnf(p32_74,negated_conjecture,
% 0.21/0.75 ( p32(f22(c34,X1),X2)
% 0.21/0.75 | p31(f11(f4(X3),X2),f11(f4(X4),X2))
% 0.21/0.75 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.21/0.75
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 % Proof found
% 0.21/0.75 % SZS status Theorem for theBenchmark
% 0.21/0.75 % SZS output start Proof
% 0.21/0.75 %ClaNum:74(EqnAxiom:0)
% 0.21/0.75 %VarNum:273(SingletonVarNum:132)
% 0.21/0.75 %MaxLitNum:5
% 0.21/0.75 %MaxfuncDepth:5
% 0.21/0.75 %SharedTerms:67
% 0.21/0.75 %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
% 0.21/0.75 %singleGoalClaCount:31
% 0.21/0.75 [1]P1(a1)
% 0.21/0.75 [2]P8(a2)
% 0.21/0.75 [7]P2(a11,a15)
% 0.21/0.75 [8]P3(a12,a16)
% 0.21/0.75 [9]P14(a17,a13)
% 0.21/0.75 [3]P12(f9(a4))
% 0.21/0.75 [4]P12(f9(a5))
% 0.21/0.75 [5]P9(f10(a6))
% 0.21/0.75 [6]P9(f10(a8))
% 0.21/0.75 [19]P3(a17,f21(a7))
% 0.21/0.75 [20]P14(a12,f22(a13))
% 0.21/0.75 [21]P14(a16,f22(a13))
% 0.21/0.75 [22]P15(f29(a3),a2)
% 0.21/0.75 [23]P17(f23(a1,a11),a14)
% 0.21/0.75 [24]P14(f26(a12,f21(f24(a7))),a16)
% 0.21/0.75 [26]P18(f18(f27(f22(a13)),a11),f18(f27(a13),a11))
% 0.21/0.75 [27]P3(f18(f27(a17),a15),f25(f18(f27(a13),a15),f21(f24(a7))))
% 0.21/0.75 [28]P3(f25(f18(f27(f22(a13)),a14),f21(f24(a7))),f18(f27(a13),a14))
% 0.21/0.75 [29]P14(f18(f27(a13),a11),f18(f27(f26(a13,f21(f24(a7)))),a11))
% 0.21/0.75 [30]P3(f18(f27(f26(a12,f21(f24(a7)))),a14),f18(f27(a12),a14))
% 0.21/0.75 [31]~P3(f18(f27(a16),a14),f18(f27(f26(a12,f21(f24(a7)))),a14))
% 0.21/0.75 [10]P2(x101,x101)
% 0.21/0.75 [11]P15(x111,x111)
% 0.21/0.75 [12]P16(x121,x121)
% 0.21/0.75 [13]P13(x131,x131)
% 0.21/0.75 [14]P7(x141,x141)
% 0.21/0.75 [15]P3(x151,x151)
% 0.21/0.75 [16]P4(x161,x161)
% 0.21/0.75 [17]P5(x171,x171)
% 0.21/0.75 [18]P6(x181,x181)
% 0.21/0.75 [25]P10(a1,f27(f22(x251)),f27(x251))
% 0.21/0.75 [67]P2(x671,a14)+~P14(f18(f27(f22(a13)),x671),f18(f27(a13),x671))
% 0.21/0.75 [68]P17(f23(a1,x681),a14)+~P18(f18(f27(f22(a13)),x681),f18(f27(a13),x681))
% 0.21/0.75 [36]~P16(x361,x362)+P15(f29(x361),f29(x362))
% 0.21/0.75 [37]~P3(x371,x372)+P13(f27(x371),f27(x372))
% 0.21/0.75 [38]~P3(x381,x382)+P3(f22(x381),f22(x382))
% 0.21/0.75 [39]~P3(x391,x392)+P3(f21(x391),f21(x392))
% 0.21/0.75 [40]~P3(x401,x402)+P3(f24(x401),f24(x402))
% 0.21/0.75 [41]~P3(x411,x412)+P3(f28(x411),f28(x412))
% 0.21/0.75 [42]~P4(x421,x422)+P4(f9(x421),f9(x422))
% 0.21/0.75 [43]~P5(x431,x432)+P5(f10(x431),f10(x432))
% 0.21/0.75 [53]~P14(x531,a12)+P14(x531,f28(x531))+~P14(x531,f22(a13))
% 0.21/0.75 [54]~P14(x541,a12)+~P14(x541,f22(a13))+P14(f28(x541),f22(a13))
% 0.21/0.75 [65]~P14(x651,a13)+~P14(a17,x651)+P3(f18(f27(x651),a15),f18(f27(a17),a15))
% 0.21/0.75 [66]~P14(a12,x661)+~P14(x661,f22(a13))+P3(f18(f27(x661),a14),f18(f27(a12),a14))
% 0.21/0.75 [70]~P14(x701,a12)+~P14(x701,f22(a13))+~P3(f18(f27(f28(x701)),a14),f18(f27(x701),a14))
% 0.21/0.75 [32]~P7(x322,x321)+P1(x321)+~P1(x322)
% 0.21/0.75 [33]~P15(x332,x331)+P8(x331)+~P8(x332)
% 0.21/0.75 [34]~P4(x342,x341)+P12(x341)+~P12(x342)
% 0.21/0.75 [35]~P5(x352,x351)+P9(x351)+~P9(x352)
% 0.21/0.75 [44]~P2(x443,x441)+P2(x441,x442)+~P2(x443,x442)
% 0.21/0.75 [45]~P15(x453,x451)+P15(x451,x452)+~P15(x453,x452)
% 0.21/0.75 [46]~P16(x463,x461)+P16(x461,x462)+~P16(x463,x462)
% 0.21/0.75 [47]~P13(x473,x471)+P13(x471,x472)+~P13(x473,x472)
% 0.21/0.75 [48]~P7(x483,x481)+P7(x481,x482)+~P7(x483,x482)
% 0.21/0.75 [49]~P3(x493,x491)+P3(x491,x492)+~P3(x493,x492)
% 0.21/0.75 [50]~P4(x503,x501)+P4(x501,x502)+~P4(x503,x502)
% 0.21/0.75 [51]~P5(x513,x511)+P5(x511,x512)+~P5(x513,x512)
% 0.21/0.75 [52]~P6(x523,x521)+P6(x521,x522)+~P6(x523,x522)
% 0.21/0.75 [59]~P3(x592,x594)+~P3(x591,x593)+P3(f26(x591,x592),f26(x593,x594))
% 0.21/0.75 [60]~P2(x602,x604)+~P13(x601,x603)+P3(f18(x601,x602),f18(x603,x604))
% 0.21/0.75 [61]~P3(x612,x614)+~P3(x611,x613)+P3(f25(x611,x612),f25(x613,x614))
% 0.21/0.75 [62]~P2(x622,x624)+~P7(x621,x623)+P4(f23(x621,x622),f23(x623,x624))
% 0.21/0.75 [63]~P15(x631,x633)+~P6(x632,x634)+P5(f19(x631,x632),f19(x633,x634))
% 0.21/0.75 [64]~P2(x641,x643)+~P3(x642,x644)+P6(f20(x641,x642),f20(x643,x644))
% 0.21/0.75 [71]P2(x711,x712)+P17(f23(a1,x711),x712)+~P11(f19(a2,f20(x711,x713)),f20(x712,x714))
% 0.21/0.75 [72]P2(x721,x722)+~P11(f19(a2,f20(x721,x723)),f20(x722,x724))+~P3(f18(f27(x723),x721),f21(a7))
% 0.21/0.75 [73]P17(f23(a1,x731),x732)+P14(f18(f27(x733),x732),f18(f27(x734),x732))+~P11(f19(a2,f20(x731,x733)),f20(x732,x734))
% 0.21/0.75 [74]P3(x741,x742)+~P11(f19(a2,f20(x743,x742)),f20(x744,x745))+~P11(f19(a2,f20(x746,x741)),f20(x744,x745))
% 0.21/0.75 [55]~P14(x553,x554)+P14(x551,x552)+~P3(x553,x551)+~P3(x554,x552)
% 0.21/0.75 [56]~P17(x564,x563)+P17(x561,x562)+~P2(x563,x562)+~P4(x564,x561)
% 0.21/0.75 [57]~P18(x573,x574)+P18(x571,x572)+~P3(x573,x571)+~P3(x574,x572)
% 0.21/0.75 [58]~P11(x583,x584)+P11(x581,x582)+~P5(x583,x581)+~P6(x584,x582)
% 0.21/0.75 [69]~P10(x696,x694,x695)+P10(x691,x692,x693)+~P13(x694,x692)+~P13(x695,x693)+~P7(x696,x691)
% 0.21/0.75 %EqnAxiom
% 0.21/0.75
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 cnf(75,plain,
% 0.21/0.75 (~P13(f27(a16),f27(f26(a12,f21(f24(a7)))))),
% 0.21/0.75 inference(scs_inference,[],[10,31,60])).
% 0.21/0.75 cnf(79,plain,
% 0.21/0.75 (P3(f24(a12),f24(a16))),
% 0.21/0.75 inference(scs_inference,[],[10,8,31,60,41,40])).
% 0.21/0.75 cnf(85,plain,
% 0.21/0.75 (P13(f27(a12),f27(a16))),
% 0.21/0.75 inference(scs_inference,[],[10,8,31,60,41,40,39,38,37])).
% 0.21/0.75 cnf(91,plain,
% 0.21/0.75 (P6(f20(a11,x911),f20(a15,x911))),
% 0.21/0.75 inference(scs_inference,[],[10,15,7,8,9,31,60,41,40,39,38,37,47,65,64])).
% 0.21/0.75 cnf(93,plain,
% 0.21/0.75 (P5(f19(f29(a3),x931),f19(a2,x931))),
% 0.21/0.75 inference(scs_inference,[],[10,15,18,7,8,9,22,31,60,41,40,39,38,37,47,65,64,63])).
% 0.21/0.75 cnf(95,plain,
% 0.21/0.75 (P4(f23(x951,a11),f23(x951,a15))),
% 0.21/0.75 inference(scs_inference,[],[10,14,15,18,7,8,9,22,31,60,41,40,39,38,37,47,65,64,63,62])).
% 0.21/0.75 cnf(134,plain,
% 0.21/0.75 (P3(x1341,x1341)),
% 0.21/0.75 inference(rename_variables,[],[15])).
% 0.21/0.75 cnf(136,plain,
% 0.21/0.75 (P6(f20(x1361,a17),f20(x1361,f21(a7)))),
% 0.21/0.75 inference(scs_inference,[],[19,11,10,13,7,15,75,93,91,95,43,42,63,60,59,47,49,64])).
% 0.21/0.75 cnf(143,plain,
% 0.21/0.75 (~P3(a16,f26(a12,f21(f24(a7))))),
% 0.21/0.75 inference(scs_inference,[],[19,11,10,13,7,9,15,134,75,93,91,95,43,42,63,60,59,47,49,64,61,55,37])).
% 0.21/0.75 cnf(168,plain,
% 0.21/0.75 (P3(f18(f27(a12),x1681),f18(f27(a16),x1681))),
% 0.21/0.75 inference(scs_inference,[],[27,25,22,11,10,14,13,8,85,143,45,69,49,37,60])).
% 0.21/0.75 cnf(211,plain,
% 0.21/0.75 (~P3(f18(f27(a12),a14),f18(f27(f26(a12,f21(f24(a7)))),a14))),
% 0.21/0.75 inference(scs_inference,[],[31,7,10,168,44,49])).
% 0.21/0.75 cnf(242,plain,
% 0.21/0.75 ($false),
% 0.21/0.75 inference(scs_inference,[],[79,30,11,15,211,136,59,63,61,49]),
% 0.21/0.75 ['proof']).
% 0.21/0.75 % SZS output end Proof
% 0.21/0.75 % Total time :0.100000s
%------------------------------------------------------------------------------