TSTP Solution File: SYN705-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN705-1 : 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 : n004.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 01:47:02 EDT 2023

% Result   : Unsatisfiable 2.86s 2.97s
% Output   : CNFRefutation 2.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN705-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 19:54:53 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.21/0.58  start to proof:theBenchmark
% 2.86/2.95  %-------------------------------------------
% 2.86/2.95  % File        :CSE---1.6
% 2.86/2.95  % Problem     :theBenchmark
% 2.86/2.95  % Transform   :cnf
% 2.86/2.95  % Format      :tptp:raw
% 2.86/2.95  % Command     :java -jar mcs_scs.jar %d %s
% 2.86/2.95  
% 2.86/2.95  % Result      :Theorem 2.310000s
% 2.86/2.95  % Output      :CNFRefutation 2.310000s
% 2.86/2.95  %-------------------------------------------
% 2.86/2.95  %--------------------------------------------------------------------------
% 2.86/2.95  % File     : SYN705-1 : TPTP v8.1.2. Released v2.5.0.
% 2.86/2.95  % Domain   : Syntactic
% 2.86/2.95  % Problem  : Harrison problem 4675
% 2.86/2.95  % Version  : Especial.
% 2.86/2.95  % English  :
% 2.86/2.95  
% 2.86/2.95  % Refs     : [Har01] Email to G. Sutcliffe
% 2.86/2.95  % Source   : [Har01]
% 2.86/2.95  % Names    :
% 2.86/2.95  
% 2.86/2.95  % Status   : Unsatisfiable
% 2.86/2.95  % Rating   : 0.00 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.20 v5.2.0, 0.15 v5.1.0, 0.12 v5.0.0, 0.13 v4.0.1, 0.14 v3.7.0, 0.00 v2.5.0
% 2.86/2.96  % Syntax   : Number of clauses     :   80 (  29 unt;   0 nHn;  53 RR)
% 2.86/2.96  %            Number of literals    :  178 (   0 equ; 100 neg)
% 2.86/2.96  %            Maximal clause size   :    4 (   2 avg)
% 2.86/2.96  %            Maximal term depth    :    8 (   1 avg)
% 2.86/2.96  %            Number of predicates  :   26 (  26 usr;   0 prp; 2-2 aty)
% 2.86/2.96  %            Number of functors    :   31 (  31 usr;  11 con; 0-2 aty)
% 2.86/2.96  %            Number of variables   :  215 (  10 sgn)
% 2.86/2.96  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 2.86/2.96  
% 2.86/2.96  % Comments :
% 2.86/2.96  %--------------------------------------------------------------------------
% 2.86/2.96  cnf(p11_1,negated_conjecture,
% 2.86/2.96      p11(X0,X0) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p9_2,negated_conjecture,
% 2.86/2.96      p9(X167,X167) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p7_3,negated_conjecture,
% 2.86/2.96      p7(X162,X162) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p6_4,negated_conjecture,
% 2.86/2.96      p6(X155,X155) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p45_5,negated_conjecture,
% 2.86/2.96      p45(X144,X144) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p43_6,negated_conjecture,
% 2.86/2.96      p43(X137,X137) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p41_7,negated_conjecture,
% 2.86/2.96      p41(X130,X130) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p4_8,negated_conjecture,
% 2.86/2.96      p4(X119,X119) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p39_9,negated_conjecture,
% 2.86/2.96      p39(X112,X112) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p37_10,negated_conjecture,
% 2.86/2.96      p37(X105,X105) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p35_11,negated_conjecture,
% 2.86/2.96      p35(X102,X102) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p33_12,negated_conjecture,
% 2.86/2.96      p33(X95,X95) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p31_13,negated_conjecture,
% 2.86/2.96      p31(X88,X88) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p3_14,negated_conjecture,
% 2.86/2.96      p3(X77,X77) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p29_15,negated_conjecture,
% 2.86/2.96      p29(X70,X70) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p27_16,negated_conjecture,
% 2.86/2.96      p27(X58,X58) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p25_17,negated_conjecture,
% 2.86/2.96      p25(X55,X55) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p23_18,negated_conjecture,
% 2.86/2.96      p23(X48,X48) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p21_19,negated_conjecture,
% 2.86/2.96      p21(X41,X41) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p2_20,negated_conjecture,
% 2.86/2.96      p2(X38,X38) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p19_21,negated_conjecture,
% 2.86/2.96      p19(X31,X31) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p17_22,negated_conjecture,
% 2.86/2.96      p17(X28,X28) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p15_23,negated_conjecture,
% 2.86/2.96      p15(X21,X21) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p14_24,negated_conjecture,
% 2.86/2.96      p14(X14,X14) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p12_25,negated_conjecture,
% 2.86/2.96      p12(X7,X7) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p11_26,negated_conjecture,
% 2.86/2.96      ( p11(X1,X2)
% 2.86/2.96      | ~ p11(X0,X1)
% 2.86/2.96      | ~ p11(X0,X2) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p9_27,negated_conjecture,
% 2.86/2.96      ( p9(X165,X166)
% 2.86/2.96      | ~ p9(X167,X165)
% 2.86/2.96      | ~ p9(X167,X166) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p7_28,negated_conjecture,
% 2.86/2.96      ( p7(X163,X164)
% 2.86/2.96      | ~ p7(X162,X163)
% 2.86/2.96      | ~ p7(X162,X164) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p6_29,negated_conjecture,
% 2.86/2.96      ( p6(X156,X157)
% 2.86/2.96      | ~ p6(X155,X156)
% 2.86/2.96      | ~ p6(X155,X157) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p45_30,negated_conjecture,
% 2.86/2.96      ( p45(X145,X146)
% 2.86/2.96      | ~ p45(X144,X145)
% 2.86/2.96      | ~ p45(X144,X146) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p43_31,negated_conjecture,
% 2.86/2.96      ( p43(X138,X139)
% 2.86/2.96      | ~ p43(X137,X138)
% 2.86/2.96      | ~ p43(X137,X139) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p41_32,negated_conjecture,
% 2.86/2.96      ( p41(X131,X132)
% 2.86/2.96      | ~ p41(X130,X131)
% 2.86/2.96      | ~ p41(X130,X132) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p4_33,negated_conjecture,
% 2.86/2.96      ( p4(X120,X121)
% 2.86/2.96      | ~ p4(X119,X120)
% 2.86/2.96      | ~ p4(X119,X121) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p39_34,negated_conjecture,
% 2.86/2.96      ( p39(X113,X114)
% 2.86/2.96      | ~ p39(X112,X113)
% 2.86/2.96      | ~ p39(X112,X114) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p37_35,negated_conjecture,
% 2.86/2.96      ( p37(X106,X107)
% 2.86/2.96      | ~ p37(X105,X106)
% 2.86/2.96      | ~ p37(X105,X107) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p35_36,negated_conjecture,
% 2.86/2.96      ( p35(X103,X104)
% 2.86/2.96      | ~ p35(X102,X103)
% 2.86/2.96      | ~ p35(X102,X104) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p33_37,negated_conjecture,
% 2.86/2.96      ( p33(X96,X97)
% 2.86/2.96      | ~ p33(X95,X96)
% 2.86/2.96      | ~ p33(X95,X97) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p31_38,negated_conjecture,
% 2.86/2.96      ( p31(X89,X90)
% 2.86/2.96      | ~ p31(X88,X89)
% 2.86/2.96      | ~ p31(X88,X90) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p3_39,negated_conjecture,
% 2.86/2.96      ( p3(X78,X79)
% 2.86/2.96      | ~ p3(X77,X78)
% 2.86/2.96      | ~ p3(X77,X79) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p29_40,negated_conjecture,
% 2.86/2.96      ( p29(X71,X72)
% 2.86/2.96      | ~ p29(X70,X71)
% 2.86/2.96      | ~ p29(X70,X72) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p27_41,negated_conjecture,
% 2.86/2.96      ( p27(X59,X60)
% 2.86/2.96      | ~ p27(X58,X59)
% 2.86/2.96      | ~ p27(X58,X60) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p25_42,negated_conjecture,
% 2.86/2.96      ( p25(X56,X57)
% 2.86/2.96      | ~ p25(X55,X56)
% 2.86/2.96      | ~ p25(X55,X57) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p23_43,negated_conjecture,
% 2.86/2.96      ( p23(X49,X50)
% 2.86/2.96      | ~ p23(X48,X49)
% 2.86/2.96      | ~ p23(X48,X50) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p21_44,negated_conjecture,
% 2.86/2.96      ( p21(X42,X43)
% 2.86/2.96      | ~ p21(X41,X42)
% 2.86/2.96      | ~ p21(X41,X43) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p2_45,negated_conjecture,
% 2.86/2.96      ( p2(X39,X40)
% 2.86/2.96      | ~ p2(X38,X39)
% 2.86/2.96      | ~ p2(X38,X40) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p19_46,negated_conjecture,
% 2.86/2.96      ( p19(X32,X33)
% 2.86/2.96      | ~ p19(X31,X32)
% 2.86/2.96      | ~ p19(X31,X33) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p17_47,negated_conjecture,
% 2.86/2.96      ( p17(X29,X30)
% 2.86/2.96      | ~ p17(X28,X29)
% 2.86/2.96      | ~ p17(X28,X30) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p15_48,negated_conjecture,
% 2.86/2.96      ( p15(X22,X23)
% 2.86/2.96      | ~ p15(X21,X22)
% 2.86/2.96      | ~ p15(X21,X23) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p14_49,negated_conjecture,
% 2.86/2.96      ( p14(X15,X16)
% 2.86/2.96      | ~ p14(X14,X15)
% 2.86/2.96      | ~ p14(X14,X16) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p12_50,negated_conjecture,
% 2.86/2.96      ( p12(X8,X9)
% 2.86/2.96      | ~ p12(X7,X8)
% 2.86/2.96      | ~ p12(X7,X9) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(not_p47_51,negated_conjecture,
% 2.86/2.96      ~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55) ).
% 2.86/2.96  
% 2.86/2.96  cnf(not_p47_52,negated_conjecture,
% 2.86/2.96      ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X68) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p47_53,negated_conjecture,
% 2.86/2.96      ( p47(X151,X152)
% 2.86/2.96      | ~ p47(X153,X154)
% 2.86/2.96      | ~ p7(X154,X152)
% 2.86/2.96      | ~ p4(X153,X151) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p11_54,negated_conjecture,
% 2.86/2.96      ( p11(f16(X3,X4),f16(X5,X6))
% 2.86/2.96      | ~ p14(X3,X5)
% 2.86/2.96      | ~ p15(X4,X6) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p6_55,negated_conjecture,
% 2.86/2.96      ( p6(f10(X158,X159),f10(X160,X161))
% 2.86/2.96      | ~ p3(X159,X161)
% 2.86/2.96      | ~ p9(X158,X160) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p43_56,negated_conjecture,
% 2.86/2.96      ( p43(f46(X140,X141),f46(X142,X143))
% 2.86/2.96      | ~ p4(X141,X143)
% 2.86/2.96      | ~ p45(X140,X142) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p41_57,negated_conjecture,
% 2.86/2.96      ( p41(f44(X133,X134),f44(X135,X136))
% 2.86/2.96      | ~ p15(X134,X136)
% 2.86/2.96      | ~ p43(X133,X135) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p4_58,negated_conjecture,
% 2.86/2.96      ( p4(f5(X126,X127),f5(X128,X129))
% 2.86/2.96      | ~ p2(X126,X128)
% 2.86/2.96      | ~ p3(X127,X129) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p4_59,negated_conjecture,
% 2.86/2.96      ( p4(f20(X122,X123),f20(X124,X125))
% 2.86/2.96      | ~ p19(X122,X124)
% 2.86/2.96      | ~ p7(X123,X125) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p39_60,negated_conjecture,
% 2.86/2.96      ( p39(f42(X115,X116),f42(X117,X118))
% 2.86/2.96      | ~ p12(X116,X118)
% 2.86/2.96      | ~ p41(X115,X117) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p37_61,negated_conjecture,
% 2.86/2.96      ( p37(f38(X108,X109),f38(X110,X111))
% 2.86/2.96      | ~ p12(X108,X110)
% 2.86/2.96      | ~ p7(X109,X111) ) ).
% 2.86/2.96  
% 2.86/2.96  cnf(p33_62,negated_conjecture,
% 2.86/2.97      ( p33(f36(X98,X99),f36(X100,X101))
% 2.86/2.97      | ~ p35(X98,X100)
% 2.86/2.97      | ~ p4(X99,X101) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p31_63,negated_conjecture,
% 2.86/2.97      ( p31(f34(X91,X92),f34(X93,X94))
% 2.86/2.97      | ~ p15(X92,X94)
% 2.86/2.97      | ~ p33(X91,X93) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p3_64,negated_conjecture,
% 2.86/2.97      ( p3(f8(X84,X85),f8(X86,X87))
% 2.86/2.97      | ~ p6(X84,X86)
% 2.86/2.97      | ~ p7(X85,X87) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p3_65,negated_conjecture,
% 2.86/2.97      ( p3(f13(X80,X81),f13(X82,X83))
% 2.86/2.97      | ~ p11(X80,X82)
% 2.86/2.97      | ~ p12(X81,X83) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p29_66,negated_conjecture,
% 2.86/2.97      ( p29(f32(X73,X74),f32(X75,X76))
% 2.86/2.97      | ~ p12(X74,X76)
% 2.86/2.97      | ~ p31(X73,X75) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p27_67,negated_conjecture,
% 2.86/2.97      ( p27(f28(X61,X62),f28(X63,X64))
% 2.86/2.97      | ~ p15(X61,X63)
% 2.86/2.97      | ~ p7(X62,X64) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p23_68,negated_conjecture,
% 2.86/2.97      ( p23(f26(X51,X52),f26(X53,X54))
% 2.86/2.97      | ~ p25(X51,X53)
% 2.86/2.97      | ~ p4(X52,X54) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p21_69,negated_conjecture,
% 2.86/2.97      ( p21(f24(X44,X45),f24(X46,X47))
% 2.86/2.97      | ~ p15(X45,X47)
% 2.86/2.97      | ~ p23(X44,X46) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p19_70,negated_conjecture,
% 2.86/2.97      ( p19(f22(X34,X35),f22(X36,X37))
% 2.86/2.97      | ~ p12(X35,X37)
% 2.86/2.97      | ~ p21(X34,X36) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p15_71,negated_conjecture,
% 2.86/2.97      ( p15(f30(X24,X25),f30(X26,X27))
% 2.86/2.97      | ~ p29(X24,X26)
% 2.86/2.97      | ~ p7(X25,X27) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p14_72,negated_conjecture,
% 2.86/2.97      ( p14(f18(X17,X18),f18(X19,X20))
% 2.86/2.97      | ~ p17(X17,X19)
% 2.86/2.97      | ~ p4(X18,X20) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p12_73,negated_conjecture,
% 2.86/2.97      ( p12(f40(X10,X11),f40(X12,X13))
% 2.86/2.97      | ~ p39(X10,X12)
% 2.86/2.97      | ~ p7(X11,X13) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p47_74,negated_conjecture,
% 2.86/2.97      ( p47(X147,X148)
% 2.86/2.97      | ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p47_75,negated_conjecture,
% 2.86/2.97      ( p47(X65,X69)
% 2.86/2.97      | ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p47_76,negated_conjecture,
% 2.86/2.97      ( p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
% 2.86/2.97      | ~ p47(X147,X148) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p47_77,negated_conjecture,
% 2.86/2.97      p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p27_78,negated_conjecture,
% 2.86/2.97      ( p27(f28(f30(f32(f34(f36(c57,X65),X66),X67),X68),X69),f28(X66,X69))
% 2.86/2.97      | ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p37_79,negated_conjecture,
% 2.86/2.97      ( p37(f38(f40(f42(f44(f46(c58,X65),X66),X67),X68),X69),f38(X67,X69))
% 2.86/2.97      | ~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X69) ) ).
% 2.86/2.97  
% 2.86/2.97  cnf(p3_80,negated_conjecture,
% 2.86/2.97      p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))) ).
% 2.86/2.97  
% 2.86/2.97  %--------------------------------------------------------------------------
% 2.86/2.97  %-------------------------------------------
% 2.86/2.97  % Proof found
% 2.86/2.97  % SZS status Theorem for theBenchmark
% 2.86/2.97  % SZS output start Proof
% 2.86/2.97  %ClaNum:80(EqnAxiom:0)
% 2.86/2.97  %VarNum:432(SingletonVarNum:215)
% 2.86/2.97  %MaxLitNum:4
% 2.86/2.97  %MaxfuncDepth:6
% 2.86/2.97  %SharedTerms:20
% 2.86/2.97  %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 75 76 77 78 79 80
% 2.86/2.97  %singleGoalClaCount:29
% 2.86/2.97  [28]~P26(f17(a1,f9(f7(f5(a3,a4),a6),a8)),a12)
% 2.86/2.97  [26]P26(f17(a1,f16(f10(a2,f9(f7(f5(a3,a4),a6),a8)),a11)),a12)
% 2.86/2.97  [1]P1(x11,x11)
% 2.86/2.97  [2]P2(x21,x21)
% 2.86/2.97  [3]P3(x31,x31)
% 2.86/2.97  [4]P4(x41,x41)
% 2.86/2.97  [5]P5(x51,x51)
% 2.86/2.97  [6]P6(x61,x61)
% 2.86/2.97  [7]P7(x71,x71)
% 2.86/2.97  [8]P8(x81,x81)
% 2.86/2.97  [9]P9(x91,x91)
% 2.86/2.97  [10]P10(x101,x101)
% 2.86/2.97  [11]P11(x111,x111)
% 2.86/2.97  [12]P12(x121,x121)
% 2.86/2.97  [13]P13(x131,x131)
% 2.86/2.97  [14]P14(x141,x141)
% 2.86/2.97  [15]P15(x151,x151)
% 2.86/2.97  [16]P16(x161,x161)
% 2.86/2.97  [17]P17(x171,x171)
% 2.86/2.97  [18]P18(x181,x181)
% 2.86/2.97  [19]P19(x191,x191)
% 2.86/2.97  [20]P20(x201,x201)
% 2.86/2.97  [21]P21(x211,x211)
% 2.86/2.97  [22]P22(x221,x221)
% 2.86/2.97  [23]P23(x231,x231)
% 2.86/2.97  [24]P24(x241,x241)
% 2.86/2.97  [25]P25(x251,x251)
% 2.86/2.97  [29]~P26(f21(f20(f19(f18(a13,x291),x292),x293),x294),x294)
% 2.86/2.97  [27]P14(f16(f10(a2,f9(f7(f5(a3,x271),x272),x273)),x274),f9(f7(f5(a3,f21(f20(f19(f18(a13,x271),x272),x273),x274)),f25(f24(f23(f22(a14,x271),x272),x273),x274)),f30(f29(f28(f27(a15,x271),x272),x273),x274)))
% 2.86/2.97  [76]~P26(x761,x764)+P26(f17(a1,f9(f7(f5(a3,x761),x762),x763)),x764)
% 2.86/2.97  [77]P26(x771,x772)+~P26(f17(a1,f9(f7(f5(a3,x771),x773),x774)),x772)
% 2.86/2.97  [78]P26(x781,x782)+~P26(f21(f20(f19(f18(a13,x781),x783),x784),x785),x782)
% 2.86/2.97  [79]~P26(f21(f20(f19(f18(a13,x791),x792),x793),x794),x795)+P10(f31(f30(f29(f28(f27(a15,x791),x792),x793),x794),x795),f31(x793,x795))
% 2.86/2.97  [80]~P26(f21(f20(f19(f18(a13,x801),x802),x803),x804),x805)+P16(f26(f25(f24(f23(f22(a14,x801),x802),x803),x804),x805),f26(x802,x805))
% 2.86/2.97  [30]~P1(x303,x301)+P1(x301,x302)+~P1(x303,x302)
% 2.86/2.97  [31]~P2(x313,x311)+P2(x311,x312)+~P2(x313,x312)
% 2.86/2.97  [32]~P3(x323,x321)+P3(x321,x322)+~P3(x323,x322)
% 2.86/2.97  [33]~P4(x333,x331)+P4(x331,x332)+~P4(x333,x332)
% 2.86/2.97  [34]~P5(x343,x341)+P5(x341,x342)+~P5(x343,x342)
% 2.86/2.97  [35]~P6(x353,x351)+P6(x351,x352)+~P6(x353,x352)
% 2.86/2.97  [36]~P7(x363,x361)+P7(x361,x362)+~P7(x363,x362)
% 2.86/2.97  [37]~P8(x373,x371)+P8(x371,x372)+~P8(x373,x372)
% 2.86/2.97  [38]~P9(x383,x381)+P9(x381,x382)+~P9(x383,x382)
% 2.86/2.97  [39]~P10(x393,x391)+P10(x391,x392)+~P10(x393,x392)
% 2.86/2.97  [40]~P11(x403,x401)+P11(x401,x402)+~P11(x403,x402)
% 2.86/2.97  [41]~P12(x413,x411)+P12(x411,x412)+~P12(x413,x412)
% 2.86/2.97  [42]~P13(x423,x421)+P13(x421,x422)+~P13(x423,x422)
% 2.86/2.97  [43]~P14(x433,x431)+P14(x431,x432)+~P14(x433,x432)
% 2.86/2.97  [44]~P15(x443,x441)+P15(x441,x442)+~P15(x443,x442)
% 2.86/2.97  [45]~P16(x453,x451)+P16(x451,x452)+~P16(x453,x452)
% 2.86/2.97  [46]~P17(x463,x461)+P17(x461,x462)+~P17(x463,x462)
% 2.86/2.97  [47]~P18(x473,x471)+P18(x471,x472)+~P18(x473,x472)
% 2.86/2.97  [48]~P19(x483,x481)+P19(x481,x482)+~P19(x483,x482)
% 2.86/2.97  [49]~P20(x493,x491)+P20(x491,x492)+~P20(x493,x492)
% 2.86/2.97  [50]~P21(x503,x501)+P21(x501,x502)+~P21(x503,x502)
% 2.86/2.97  [51]~P22(x513,x511)+P22(x511,x512)+~P22(x513,x512)
% 2.86/2.97  [52]~P23(x523,x521)+P23(x521,x522)+~P23(x523,x522)
% 2.86/2.97  [53]~P24(x533,x531)+P24(x531,x532)+~P24(x533,x532)
% 2.86/2.97  [54]~P25(x543,x541)+P25(x541,x542)+~P25(x543,x542)
% 2.86/2.97  [56]~P23(x562,x564)+~P24(x561,x563)+P1(f7(x561,x562),f7(x563,x564))
% 2.86/2.97  [57]~P2(x571,x573)+~P14(x572,x574)+P4(f10(x571,x572),f10(x573,x574))
% 2.86/2.97  [58]~P5(x581,x583)+~P8(x582,x584)+P6(f27(x581,x582),f27(x583,x584))
% 2.86/2.97  [59]~P6(x591,x593)+~P23(x592,x594)+P7(f28(x591,x592),f28(x593,x594))
% 2.86/2.97  [60]~P14(x602,x604)+~P20(x601,x603)+P8(f17(x601,x602),f17(x603,x604))
% 2.86/2.97  [61]~P3(x612,x614)+~P21(x611,x613)+P8(f21(x611,x612),f21(x613,x614))
% 2.86/2.97  [62]~P7(x621,x623)+~P25(x622,x624)+P9(f29(x621,x622),f29(x623,x624))
% 2.86/2.97  [63]~P3(x632,x634)+~P25(x631,x633)+P10(f31(x631,x632),f31(x633,x634))
% 2.86/2.97  [64]~P8(x642,x644)+~P11(x641,x643)+P12(f22(x641,x642),f22(x643,x644))
% 2.86/2.97  [65]~P12(x651,x653)+~P23(x652,x654)+P13(f23(x651,x652),f23(x653,x654))
% 2.86/2.97  [66]~P1(x661,x663)+~P25(x662,x664)+P14(f9(x661,x662),f9(x663,x664))
% 2.86/2.97  [67]~P3(x672,x674)+~P4(x671,x673)+P14(f16(x671,x672),f16(x673,x674))
% 2.86/2.97  [68]~P13(x681,x683)+~P25(x682,x684)+P15(f24(x681,x682),f24(x683,x684))
% 2.86/2.97  [69]~P3(x692,x694)+~P23(x691,x693)+P16(f26(x691,x692),f26(x693,x694))
% 2.86/2.97  [70]~P8(x702,x704)+~P17(x701,x703)+P18(f18(x701,x702),f18(x703,x704))
% 2.86/2.97  [71]~P18(x711,x713)+~P23(x712,x714)+P19(f19(x711,x712),f19(x713,x714))
% 2.86/2.97  [72]~P19(x721,x723)+~P25(x722,x724)+P21(f20(x721,x722),f20(x723,x724))
% 2.86/2.97  [73]~P3(x732,x734)+~P15(x731,x733)+P23(f25(x731,x732),f25(x733,x734))
% 2.86/2.97  [74]~P8(x742,x744)+~P22(x741,x743)+P24(f5(x741,x742),f5(x743,x744))
% 2.86/2.97  [75]~P3(x752,x754)+~P9(x751,x753)+P25(f30(x751,x752),f30(x753,x754))
% 2.86/2.97  [55]~P26(x554,x553)+P26(x551,x552)+~P3(x553,x552)+~P8(x554,x551)
% 2.86/2.97  %EqnAxiom
% 2.86/2.97  
% 2.86/2.97  %-------------------------------------------
% 2.86/2.97  cnf(81,plain,
% 2.86/2.97     (~P26(a4,a12)),
% 2.86/2.97     inference(scs_inference,[],[28,76])).
% 2.86/2.97  cnf(85,plain,
% 2.86/2.97     (~P8(f17(a1,f16(f10(a2,f9(f7(f5(a3,a4),a6),a8)),a11)),f17(a1,f9(f7(f5(a3,a4),a6),a8)))),
% 2.86/2.97     inference(scs_inference,[],[3,28,26,76,78,77,55])).
% 2.86/2.97  cnf(88,plain,
% 2.86/2.97     (~P14(f16(f10(a2,f9(f7(f5(a3,a4),a6),a8)),a11),f9(f7(f5(a3,a4),a6),a8))),
% 2.86/2.97     inference(scs_inference,[],[20,85,60])).
% 2.86/2.97  cnf(97,plain,
% 2.86/2.97     (P14(f9(f7(f5(a3,f21(f20(f19(f18(a13,x971),x972),x973),x974)),f25(f24(f23(f22(a14,x971),x972),x973),x974)),f30(f29(f28(f27(a15,x971),x972),x973),x974)),f16(f10(a2,f9(f7(f5(a3,x971),x972),x973)),x974))),
% 2.86/2.97     inference(scs_inference,[],[27,14,43])).
% 2.86/2.97  cnf(100,plain,
% 2.86/2.97     (~P14(f9(f7(f5(a3,f21(f20(f19(f18(a13,a4),a6),a8),a11)),f25(f24(f23(f22(a14,a4),a6),a8),a11)),f30(f29(f28(f27(a15,a4),a6),a8),a11)),f9(f7(f5(a3,a4),a6),a8))),
% 2.86/2.97     inference(scs_inference,[],[97,88,43])).
% 2.86/2.97  cnf(106,plain,
% 2.86/2.97     (~P26(f21(f20(f19(f18(a13,a4),x1061),x1062),x1063),a12)),
% 2.86/2.97     inference(scs_inference,[],[81,14,100,43,78])).
% 2.86/2.97  cnf(118,plain,
% 2.86/2.97     (~P26(f17(a1,f9(f7(f5(a3,f21(f20(f19(f18(a13,a4),x1181),x1182),x1183)),x1184),x1185)),a12)),
% 2.86/2.97     inference(scs_inference,[],[106,77])).
% 2.86/2.97  cnf(232,plain,
% 2.86/2.97     ($false),
% 2.86/2.97     inference(scs_inference,[],[27,20,3,26,118,60,55]),
% 2.86/2.97     ['proof']).
% 2.86/2.97  % SZS output end Proof
% 2.86/2.97  % Total time :2.310000s
%------------------------------------------------------------------------------