TSTP Solution File: SYN695-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN695-1 : 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 : n012.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 01:46:59 EDT 2023
% Result : Unsatisfiable 0.20s 0.73s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN695-1 : 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
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 20:30:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 % File :CSE---1.6
% 0.20/0.72 % Problem :theBenchmark
% 0.20/0.72 % Transform :cnf
% 0.20/0.72 % Format :tptp:raw
% 0.20/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.72
% 0.20/0.72 % Result :Theorem 0.090000s
% 0.20/0.72 % Output :CNFRefutation 0.090000s
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 %--------------------------------------------------------------------------
% 0.20/0.72 % File : SYN695-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.72 % Domain : Syntactic
% 0.20/0.72 % Problem : Harrison problem 4645
% 0.20/0.72 % Version : Especial.
% 0.20/0.72 % English :
% 0.20/0.72
% 0.20/0.72 % Refs : [Har01] Email to G. Sutcliffe
% 0.20/0.72 % Source : [Har01]
% 0.20/0.72 % Names :
% 0.20/0.72
% 0.20/0.72 % Status : Unsatisfiable
% 0.20/0.72 % Rating : 0.14 v8.1.0, 0.00 v7.0.0, 0.12 v6.4.0, 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, 0.21 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
% 0.20/0.72 % Syntax : Number of clauses : 73 ( 30 unt; 2 nHn; 63 RR)
% 0.20/0.72 % Number of literals : 155 ( 0 equ; 83 neg)
% 0.20/0.72 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.72 % Maximal term depth : 6 ( 1 avg)
% 0.20/0.72 % Number of predicates : 18 ( 18 usr; 0 prp; 1-3 aty)
% 0.20/0.72 % Number of functors : 28 ( 28 usr; 14 con; 0-2 aty)
% 0.20/0.72 % Number of variables : 132 ( 5 sgn)
% 0.20/0.72 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.72
% 0.20/0.72 % Comments :
% 0.20/0.72 %--------------------------------------------------------------------------
% 0.20/0.72 cnf(c34_is_p25_1,negated_conjecture,
% 0.20/0.72 p25(c34) ).
% 0.20/0.72
% 0.20/0.72 cnf(c36_is_p29_2,negated_conjecture,
% 0.20/0.72 p29(c36) ).
% 0.20/0.72
% 0.20/0.72 cnf(f18_is_p30_3,negated_conjecture,
% 0.20/0.72 p30(f18(c41)) ).
% 0.20/0.72
% 0.20/0.72 cnf(f16_is_p28_4,negated_conjecture,
% 0.20/0.72 p28(f16(c38)) ).
% 0.20/0.72
% 0.20/0.72 cnf(f16_is_p28_5,negated_conjecture,
% 0.20/0.72 p28(f16(c39)) ).
% 0.20/0.72
% 0.20/0.72 cnf(f18_is_p30_6,negated_conjecture,
% 0.20/0.72 p30(f18(c40)) ).
% 0.20/0.72
% 0.20/0.72 cnf(p10_7,negated_conjecture,
% 0.20/0.72 p10(X5,X5) ).
% 0.20/0.72
% 0.20/0.72 cnf(p7_8,negated_conjecture,
% 0.20/0.72 p7(X112,X112) ).
% 0.20/0.72
% 0.20/0.72 cnf(p6_9,negated_conjecture,
% 0.20/0.72 p6(X109,X109) ).
% 0.20/0.72
% 0.20/0.72 cnf(p3_10,negated_conjecture,
% 0.20/0.72 p3(X88,X88) ).
% 0.20/0.72
% 0.20/0.72 cnf(p21_11,negated_conjecture,
% 0.20/0.72 p21(X68,X68) ).
% 0.20/0.72
% 0.20/0.72 cnf(p2_12,negated_conjecture,
% 0.20/0.72 p2(X43,X43) ).
% 0.20/0.72
% 0.20/0.72 cnf(p17_13,negated_conjecture,
% 0.20/0.72 p17(X28,X28) ).
% 0.20/0.72
% 0.20/0.72 cnf(p14_14,negated_conjecture,
% 0.20/0.72 p14(X19,X19) ).
% 0.20/0.72
% 0.20/0.72 cnf(p12_15,negated_conjecture,
% 0.20/0.72 p12(X12,X12) ).
% 0.20/0.72
% 0.20/0.72 cnf(p10_16,negated_conjecture,
% 0.20/0.72 p10(c43,c47) ).
% 0.20/0.72
% 0.20/0.72 cnf(p31_17,negated_conjecture,
% 0.20/0.72 p31(c46,c42) ).
% 0.20/0.72
% 0.20/0.72 cnf(p2_18,negated_conjecture,
% 0.20/0.72 p2(c44,c45) ).
% 0.20/0.72
% 0.20/0.72 cnf(p31_19,negated_conjecture,
% 0.20/0.72 p31(c45,f5(c42)) ).
% 0.20/0.72
% 0.20/0.72 cnf(p31_20,negated_conjecture,
% 0.20/0.72 p31(c44,f5(c42)) ).
% 0.20/0.72
% 0.20/0.72 cnf(p7_21,negated_conjecture,
% 0.20/0.72 p7(f8(c35),c36) ).
% 0.20/0.72
% 0.20/0.72 cnf(p31_22,negated_conjecture,
% 0.20/0.72 p31(f23(c44,f9(f20(c37))),c45) ).
% 0.20/0.72
% 0.20/0.72 cnf(p26_23,negated_conjecture,
% 0.20/0.72 p26(c34,f4(f5(X79)),f4(X79)) ).
% 0.20/0.72
% 0.20/0.72 cnf(p25_24,negated_conjecture,
% 0.20/0.72 ( p25(X71)
% 0.20/0.72 | ~ p25(X72)
% 0.20/0.72 | ~ p21(X72,X71) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(p30_25,negated_conjecture,
% 0.20/0.72 ( p30(X93)
% 0.20/0.72 | ~ p30(X94)
% 0.20/0.72 | ~ p17(X94,X93) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(p29_26,negated_conjecture,
% 0.20/0.72 ( p29(X86)
% 0.20/0.72 | ~ p29(X87)
% 0.20/0.72 | ~ p7(X87,X86) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(p28_27,negated_conjecture,
% 0.20/0.72 ( p28(X84)
% 0.20/0.72 | ~ p28(X85)
% 0.20/0.72 | ~ p14(X85,X84) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(p14_28,negated_conjecture,
% 0.20/0.72 ( p14(f16(X26),f16(X27))
% 0.20/0.72 | ~ p14(X26,X27) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(p7_29,negated_conjecture,
% 0.20/0.72 ( p7(f8(X115),f8(X116))
% 0.20/0.72 | ~ p6(X115,X116) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(p3_30,negated_conjecture,
% 0.20/0.72 ( p3(f4(X91),f4(X92))
% 0.20/0.72 | ~ p2(X91,X92) ) ).
% 0.20/0.72
% 0.20/0.72 cnf(p2_31,negated_conjecture,
% 0.20/0.72 ( p2(f9(X66),f9(X67))
% 0.20/0.73 | ~ p2(X66,X67) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_32,negated_conjecture,
% 0.20/0.73 ( p2(f5(X64),f5(X65))
% 0.20/0.73 | ~ p2(X64,X65) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_33,negated_conjecture,
% 0.20/0.73 ( p2(f24(X62),f24(X63))
% 0.20/0.73 | ~ p2(X62,X63) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_34,negated_conjecture,
% 0.20/0.73 ( p2(f20(X56),f20(X57))
% 0.20/0.73 | ~ p2(X56,X57) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p17_35,negated_conjecture,
% 0.20/0.73 ( p17(f18(X31),f18(X32))
% 0.20/0.73 | ~ p17(X31,X32) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p10_36,negated_conjecture,
% 0.20/0.73 ( p10(X6,X7)
% 0.20/0.73 | ~ p10(X5,X6)
% 0.20/0.73 | ~ p10(X5,X7) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p7_37,negated_conjecture,
% 0.20/0.73 ( p7(X113,X114)
% 0.20/0.73 | ~ p7(X112,X113)
% 0.20/0.73 | ~ p7(X112,X114) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p6_38,negated_conjecture,
% 0.20/0.73 ( p6(X110,X111)
% 0.20/0.73 | ~ p6(X109,X110)
% 0.20/0.73 | ~ p6(X109,X111) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p3_39,negated_conjecture,
% 0.20/0.73 ( p3(X89,X90)
% 0.20/0.73 | ~ p3(X88,X89)
% 0.20/0.73 | ~ p3(X88,X90) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p21_40,negated_conjecture,
% 0.20/0.73 ( p21(X69,X70)
% 0.20/0.73 | ~ p21(X68,X69)
% 0.20/0.73 | ~ p21(X68,X70) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_41,negated_conjecture,
% 0.20/0.73 ( p2(X44,X45)
% 0.20/0.73 | ~ p2(X43,X44)
% 0.20/0.73 | ~ p2(X43,X45) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p17_42,negated_conjecture,
% 0.20/0.73 ( p17(X29,X30)
% 0.20/0.73 | ~ p17(X28,X29)
% 0.20/0.73 | ~ p17(X28,X30) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p14_43,negated_conjecture,
% 0.20/0.73 ( p14(X20,X21)
% 0.20/0.73 | ~ p14(X19,X20)
% 0.20/0.73 | ~ p14(X19,X21) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p12_44,negated_conjecture,
% 0.20/0.73 ( p12(X13,X14)
% 0.20/0.73 | ~ p12(X12,X13)
% 0.20/0.73 | ~ p12(X12,X14) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p31_45,negated_conjecture,
% 0.20/0.73 p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)) ).
% 0.20/0.73
% 0.20/0.73 cnf(p31_46,negated_conjecture,
% 0.20/0.73 ( p31(X95,f24(X95))
% 0.20/0.73 | ~ p31(X95,c44)
% 0.20/0.73 | ~ p31(X95,f5(c42)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p31_47,negated_conjecture,
% 0.20/0.73 ( p31(f24(X95),f5(c42))
% 0.20/0.73 | ~ p31(X95,c44)
% 0.20/0.73 | ~ p31(X95,f5(c42)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p33_48,negated_conjecture,
% 0.20/0.73 ( p33(X105,X106)
% 0.20/0.73 | ~ p2(X108,X106)
% 0.20/0.73 | ~ p33(X107,X108)
% 0.20/0.73 | ~ p2(X107,X105) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p27_49,negated_conjecture,
% 0.20/0.73 ( p27(X80,X81)
% 0.20/0.73 | ~ p14(X83,X80)
% 0.20/0.73 | ~ p27(X83,X82)
% 0.20/0.73 | ~ p12(X82,X81) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p31_50,negated_conjecture,
% 0.20/0.73 ( p31(X96,X97)
% 0.20/0.73 | ~ p2(X99,X97)
% 0.20/0.73 | ~ p31(X98,X99)
% 0.20/0.73 | ~ p2(X98,X96) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p32_51,negated_conjecture,
% 0.20/0.73 ( p32(X100,X101)
% 0.20/0.73 | ~ p17(X103,X100)
% 0.20/0.73 | ~ p32(X103,X102)
% 0.20/0.73 | ~ p10(X102,X101) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_52,negated_conjecture,
% 0.20/0.73 p2(f11(f4(c46),c47),f19(f11(f4(c42),c47),f9(f20(c37)))) ).
% 0.20/0.73
% 0.20/0.73 cnf(p31_53,negated_conjecture,
% 0.20/0.73 p31(f11(f4(c42),c43),f11(f4(f23(c42,f9(f20(c37)))),c43)) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_54,negated_conjecture,
% 0.20/0.73 p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
% 0.20/0.73
% 0.20/0.73 cnf(not_p2_55,negated_conjecture,
% 0.20/0.73 ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ).
% 0.20/0.73
% 0.20/0.73 cnf(not_p2_56,negated_conjecture,
% 0.20/0.73 ~ p2(f11(f4(f23(c46,f9(f20(c37)))),c47),f11(f4(c46),c47)) ).
% 0.20/0.73
% 0.20/0.73 cnf(p10_57,negated_conjecture,
% 0.20/0.73 ( p10(X0,c43)
% 0.20/0.73 | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p12_58,negated_conjecture,
% 0.20/0.73 ( p12(f13(X15,X16),f13(X17,X18))
% 0.20/0.73 | ~ p10(X15,X17)
% 0.20/0.73 | ~ p2(X16,X18) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_59,negated_conjecture,
% 0.20/0.73 ( p2(f23(X58,X59),f23(X60,X61))
% 0.20/0.73 | ~ p2(X58,X60)
% 0.20/0.73 | ~ p2(X59,X61) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_60,negated_conjecture,
% 0.20/0.73 ( p2(f19(X52,X53),f19(X54,X55))
% 0.20/0.73 | ~ p2(X52,X54)
% 0.20/0.73 | ~ p2(X53,X55) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_61,negated_conjecture,
% 0.20/0.73 ( p2(f11(X46,X47),f11(X48,X49))
% 0.20/0.73 | ~ p10(X47,X49)
% 0.20/0.73 | ~ p3(X46,X48) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p17_62,negated_conjecture,
% 0.20/0.73 ( p17(f22(X33,X34),f22(X35,X36))
% 0.20/0.73 | ~ p10(X34,X36)
% 0.20/0.73 | ~ p21(X33,X35) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p14_63,negated_conjecture,
% 0.20/0.73 ( p14(f15(X22,X23),f15(X24,X25))
% 0.20/0.73 | ~ p12(X23,X25)
% 0.20/0.73 | ~ p7(X22,X24) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_64,negated_conjecture,
% 0.20/0.73 p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ).
% 0.20/0.73
% 0.20/0.73 cnf(p32_65,negated_conjecture,
% 0.20/0.73 ( p32(f22(c34,X104),c43)
% 0.20/0.73 | ~ p33(f11(f4(f5(c42)),X104),f11(f4(c42),X104)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_66,negated_conjecture,
% 0.20/0.73 ( p2(f11(f4(X51),c47),f11(f4(c46),c47))
% 0.20/0.73 | ~ p31(X51,c42)
% 0.20/0.73 | ~ p31(c46,X51) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_67,negated_conjecture,
% 0.20/0.73 ( p2(f11(f4(X50),c43),f11(f4(c44),c43))
% 0.20/0.73 | ~ p31(c44,X50)
% 0.20/0.73 | ~ p31(X50,f5(c42)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p10_68,negated_conjecture,
% 0.20/0.73 ( p10(X1,X2)
% 0.20/0.73 | p32(f22(c34,X1),X2)
% 0.20/0.73 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(not_p31_69,negated_conjecture,
% 0.20/0.73 ( ~ p31(X95,c44)
% 0.20/0.73 | ~ p31(X95,f5(c42))
% 0.20/0.73 | ~ p2(f11(f4(f24(X95)),c43),f11(f4(X95),c43)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p26_70,negated_conjecture,
% 0.20/0.73 ( p26(X73,X74,X75)
% 0.20/0.73 | ~ p3(X78,X75)
% 0.20/0.73 | ~ p3(X77,X74)
% 0.20/0.73 | ~ p21(X76,X73)
% 0.20/0.73 | ~ p26(X76,X77,X78) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p10_71,negated_conjecture,
% 0.20/0.73 ( p10(X8,X9)
% 0.20/0.73 | ~ p2(f11(f4(X10),X8),f9(c37))
% 0.20/0.73 | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p2_72,negated_conjecture,
% 0.20/0.73 ( p2(X37,X38)
% 0.20/0.73 | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41))
% 0.20/0.73 | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ).
% 0.20/0.73
% 0.20/0.73 cnf(p32_73,negated_conjecture,
% 0.20/0.73 ( p32(f22(c34,X1),X2)
% 0.20/0.73 | p31(f11(f4(X3),X2),f11(f4(X4),X2))
% 0.20/0.73 | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.20/0.73
% 0.20/0.73 %--------------------------------------------------------------------------
% 0.20/0.73 %-------------------------------------------
% 0.20/0.73 % Proof found
% 0.20/0.73 % SZS status Theorem for theBenchmark
% 0.20/0.73 % SZS output start Proof
% 0.20/0.73 %ClaNum:73(EqnAxiom:0)
% 0.20/0.73 %VarNum:273(SingletonVarNum:132)
% 0.20/0.73 %MaxLitNum:5
% 0.20/0.73 %MaxfuncDepth:5
% 0.20/0.73 %SharedTerms:65
% 0.20/0.73 %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
% 0.20/0.73 %singleGoalClaCount:30
% 0.20/0.73 [1]P1(a1)
% 0.20/0.73 [2]P8(a2)
% 0.20/0.73 [7]P2(a11,a13)
% 0.20/0.73 [8]P3(a14,a15)
% 0.20/0.73 [9]P14(a16,a12)
% 0.20/0.73 [3]P12(f9(a4))
% 0.20/0.73 [4]P12(f9(a5))
% 0.20/0.73 [5]P9(f10(a6))
% 0.20/0.73 [6]P9(f10(a8))
% 0.20/0.73 [19]P14(a14,f20(a12))
% 0.20/0.73 [20]P14(a15,f20(a12))
% 0.20/0.73 [21]P15(f27(a3),a2)
% 0.20/0.73 [22]P14(f23(a14,f28(f21(a7))),a15)
% 0.20/0.73 [24]P14(f17(f25(f20(a12)),a11),f17(f25(a12),a11))
% 0.20/0.73 [25]P3(f17(f25(a16),a13),f22(f17(f25(a12),a13),f28(f21(a7))))
% 0.20/0.73 [26]P3(f22(f17(f25(f20(a12)),a11),f28(f21(a7))),f17(f25(a12),a11))
% 0.20/0.73 [27]P14(f17(f25(a12),a11),f17(f25(f23(a12,f28(f21(a7)))),a11))
% 0.20/0.73 [28]P3(f17(f25(f23(a14,f28(f21(a7)))),a11),f17(f25(a14),a11))
% 0.20/0.73 [29]~P3(f17(f25(a15),a11),f17(f25(f23(a14,f28(f21(a7)))),a11))
% 0.20/0.73 [30]~P3(f17(f25(f23(a16,f28(f21(a7)))),a13),f17(f25(a16),a13))
% 0.20/0.73 [10]P2(x101,x101)
% 0.20/0.73 [11]P15(x111,x111)
% 0.20/0.73 [12]P16(x121,x121)
% 0.20/0.73 [13]P13(x131,x131)
% 0.20/0.73 [14]P7(x141,x141)
% 0.20/0.73 [15]P3(x151,x151)
% 0.20/0.73 [16]P4(x161,x161)
% 0.20/0.73 [17]P5(x171,x171)
% 0.20/0.73 [18]P6(x181,x181)
% 0.20/0.73 [23]P10(a1,f25(f20(x231)),f25(x231))
% 0.20/0.73 [66]P2(x661,a11)+~P14(f17(f25(f20(a12)),x661),f17(f25(a12),x661))
% 0.20/0.73 [67]P18(f24(a1,x671),a11)+~P17(f17(f25(f20(a12)),x671),f17(f25(a12),x671))
% 0.20/0.73 [35]~P16(x351,x352)+P15(f27(x351),f27(x352))
% 0.20/0.73 [36]~P3(x361,x362)+P13(f25(x361),f25(x362))
% 0.20/0.73 [37]~P3(x371,x372)+P3(f20(x371),f20(x372))
% 0.20/0.73 [38]~P3(x381,x382)+P3(f21(x381),f21(x382))
% 0.20/0.73 [39]~P3(x391,x392)+P3(f28(x391),f28(x392))
% 0.20/0.73 [40]~P3(x401,x402)+P3(f26(x401),f26(x402))
% 0.20/0.73 [41]~P4(x411,x412)+P4(f9(x411),f9(x412))
% 0.20/0.73 [42]~P5(x421,x422)+P5(f10(x421),f10(x422))
% 0.20/0.73 [52]~P14(x521,a14)+P14(x521,f26(x521))+~P14(x521,f20(a12))
% 0.20/0.73 [53]~P14(x531,a14)+~P14(x531,f20(a12))+P14(f26(x531),f20(a12))
% 0.20/0.73 [64]~P14(x641,a12)+~P14(a16,x641)+P3(f17(f25(x641),a13),f17(f25(a16),a13))
% 0.20/0.73 [65]~P14(a14,x651)+~P14(x651,f20(a12))+P3(f17(f25(x651),a11),f17(f25(a14),a11))
% 0.20/0.73 [69]~P14(x691,a14)+~P14(x691,f20(a12))+~P3(f17(f25(f26(x691)),a11),f17(f25(x691),a11))
% 0.20/0.73 [31]~P7(x312,x311)+P1(x311)+~P1(x312)
% 0.20/0.73 [32]~P15(x322,x321)+P8(x321)+~P8(x322)
% 0.20/0.73 [33]~P4(x332,x331)+P12(x331)+~P12(x332)
% 0.20/0.73 [34]~P5(x342,x341)+P9(x341)+~P9(x342)
% 0.20/0.73 [43]~P2(x433,x431)+P2(x431,x432)+~P2(x433,x432)
% 0.20/0.73 [44]~P15(x443,x441)+P15(x441,x442)+~P15(x443,x442)
% 0.20/0.73 [45]~P16(x453,x451)+P16(x451,x452)+~P16(x453,x452)
% 0.20/0.73 [46]~P13(x463,x461)+P13(x461,x462)+~P13(x463,x462)
% 0.20/0.73 [47]~P7(x473,x471)+P7(x471,x472)+~P7(x473,x472)
% 0.20/0.73 [48]~P3(x483,x481)+P3(x481,x482)+~P3(x483,x482)
% 0.20/0.73 [49]~P4(x493,x491)+P4(x491,x492)+~P4(x493,x492)
% 0.20/0.73 [50]~P5(x503,x501)+P5(x501,x502)+~P5(x503,x502)
% 0.20/0.73 [51]~P6(x513,x511)+P6(x511,x512)+~P6(x513,x512)
% 0.20/0.73 [58]~P3(x582,x584)+~P3(x581,x583)+P3(f23(x581,x582),f23(x583,x584))
% 0.20/0.73 [59]~P2(x592,x594)+~P13(x591,x593)+P3(f17(x591,x592),f17(x593,x594))
% 0.20/0.73 [60]~P3(x602,x604)+~P3(x601,x603)+P3(f22(x601,x602),f22(x603,x604))
% 0.20/0.73 [61]~P2(x612,x614)+~P7(x611,x613)+P4(f24(x611,x612),f24(x613,x614))
% 0.20/0.73 [62]~P15(x621,x623)+~P6(x622,x624)+P5(f18(x621,x622),f18(x623,x624))
% 0.20/0.73 [63]~P2(x631,x633)+~P3(x632,x634)+P6(f19(x631,x632),f19(x633,x634))
% 0.20/0.73 [70]P2(x701,x702)+P18(f24(a1,x701),x702)+~P11(f18(a2,f19(x701,x703)),f19(x702,x704))
% 0.20/0.73 [71]P2(x711,x712)+~P11(f18(a2,f19(x711,x713)),f19(x712,x714))+~P3(f17(f25(x713),x711),f28(a7))
% 0.20/0.73 [72]P18(f24(a1,x721),x722)+P14(f17(f25(x723),x722),f17(f25(x724),x722))+~P11(f18(a2,f19(x721,x723)),f19(x722,x724))
% 0.20/0.73 [73]P3(x731,x732)+~P11(f18(a2,f19(x733,x732)),f19(x734,x735))+~P11(f18(a2,f19(x736,x731)),f19(x734,x735))
% 0.20/0.73 [54]~P14(x543,x544)+P14(x541,x542)+~P3(x543,x541)+~P3(x544,x542)
% 0.20/0.73 [55]~P17(x553,x554)+P17(x551,x552)+~P3(x553,x551)+~P3(x554,x552)
% 0.20/0.73 [56]~P11(x563,x564)+P11(x561,x562)+~P5(x563,x561)+~P6(x564,x562)
% 0.20/0.73 [57]~P18(x574,x573)+P18(x571,x572)+~P2(x573,x572)+~P4(x574,x571)
% 0.20/0.73 [68]~P10(x686,x684,x685)+P10(x681,x682,x683)+~P13(x684,x682)+~P13(x685,x683)+~P7(x686,x681)
% 0.20/0.73 %EqnAxiom
% 0.20/0.73
% 0.20/0.73 %-------------------------------------------
% 0.20/0.73 cnf(76,plain,
% 0.20/0.73 (P3(f26(a14),f26(a15))),
% 0.20/0.73 inference(scs_inference,[],[10,8,30,59,40])).
% 0.20/0.73 cnf(84,plain,
% 0.20/0.73 (P13(f25(a14),f25(a15))),
% 0.20/0.74 inference(scs_inference,[],[10,8,30,59,40,39,38,37,36])).
% 0.20/0.74 cnf(154,plain,
% 0.20/0.74 (~P3(f17(f25(a14),a11),f17(f25(f23(a14,f28(f21(a7)))),a11))),
% 0.20/0.74 inference(scs_inference,[],[29,26,21,11,10,84,44,36,59,48])).
% 0.20/0.74 cnf(190,plain,
% 0.20/0.74 (P13(f25(f26(a14)),f25(f26(a15)))),
% 0.20/0.74 inference(scs_inference,[],[76,36])).
% 0.20/0.74 cnf(192,plain,
% 0.20/0.74 (P3(f17(x1921,a11),f17(x1921,a13))),
% 0.20/0.74 inference(scs_inference,[],[76,7,13,36,59])).
% 0.20/0.74 cnf(208,plain,
% 0.20/0.74 (P3(x2081,x2081)),
% 0.20/0.74 inference(rename_variables,[],[15])).
% 0.20/0.74 cnf(213,plain,
% 0.20/0.74 ($false),
% 0.20/0.74 inference(scs_inference,[],[24,28,7,15,208,154,190,192,54,59,48]),
% 0.20/0.74 ['proof']).
% 0.20/0.74 % SZS output end Proof
% 0.20/0.74 % Total time :0.090000s
%------------------------------------------------------------------------------